Properties

Label 930.2.br.b.11.13
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 11.13
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-1.70118 - 0.325530i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.71852 + 0.216097i) q^{6} +(-0.228500 - 2.17403i) q^{7} +(0.587785 - 0.809017i) q^{8} +(2.78806 + 1.10757i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-1.70118 - 0.325530i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.71852 + 0.216097i) q^{6} +(-0.228500 - 2.17403i) q^{7} +(0.587785 - 0.809017i) q^{8} +(2.78806 + 1.10757i) q^{9} +(0.669131 - 0.743145i) q^{10} +(3.37174 + 1.50120i) q^{11} +(-1.56763 + 0.736572i) q^{12} +(-0.565435 - 2.66016i) q^{13} +(-0.889128 - 1.99701i) q^{14} +(-1.63603 + 0.568675i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-4.18937 + 1.86523i) q^{17} +(2.99386 + 0.191808i) q^{18} +(7.02672 + 1.49358i) q^{19} +(0.406737 - 0.913545i) q^{20} +(-0.318992 + 3.77281i) q^{21} +(3.67062 + 0.385797i) q^{22} +(-4.43137 - 3.21958i) q^{23} +(-1.26329 + 1.18495i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-1.35980 - 2.35524i) q^{26} +(-4.38246 - 2.79179i) 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} +(-5.24728 - 3.65142i) q^{33} +(-3.40794 + 3.06853i) q^{34} +(-1.28490 - 1.76851i) q^{35} +(2.90660 - 0.742734i) q^{36} +(-2.33106 - 1.34584i) q^{37} +(7.14435 - 0.750901i) q^{38} +(0.0959463 + 4.70950i) q^{39} +(0.104528 - 0.994522i) q^{40} +(-4.55509 - 4.10142i) q^{41} +(0.862483 + 3.68673i) q^{42} +(0.429934 - 2.02268i) q^{43} +(3.61018 - 0.767368i) q^{44} +(2.96832 - 0.434843i) q^{45} +(-5.20938 - 1.69263i) q^{46} +(10.3554 + 3.36468i) q^{47} +(-0.835293 + 1.51733i) q^{48} +(2.17284 - 0.461852i) q^{49} +(0.207912 - 0.978148i) q^{50} +(7.73409 - 1.80933i) q^{51} +(-2.02105 - 1.81976i) q^{52} +(-0.296898 + 2.82480i) q^{53} +(-5.03067 - 1.30089i) q^{54} +(3.67062 - 0.385797i) q^{55} +(-1.89313 - 1.09300i) q^{56} +(-11.4675 - 4.82826i) q^{57} +(-3.52431 - 4.85080i) q^{58} +(-2.06251 + 1.85710i) q^{59} +(-0.989321 + 1.42170i) 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} +(-6.11881 - 1.85121i) q^{66} +(2.98226 + 5.16542i) q^{67} +(-2.29292 + 3.97146i) q^{68} +(6.49050 + 6.91964i) q^{69} +(-1.76851 - 1.28490i) q^{70} +(-11.8911 - 1.24981i) q^{71} +(2.53483 - 1.60457i) q^{72} +(0.731646 - 1.64330i) q^{73} +(-2.63285 - 0.559630i) q^{74} +(-1.13251 + 1.31050i) q^{75} +(6.56264 - 2.92187i) q^{76} +(2.49320 - 7.67329i) q^{77} +(1.54656 + 4.44935i) q^{78} +(4.31032 + 9.68114i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(6.54656 + 6.17597i) q^{81} +(-5.59956 - 2.49308i) q^{82} +(0.948324 - 1.05322i) q^{83} +(1.95953 + 3.23976i) q^{84} +(-2.69549 + 3.71002i) q^{85} +(-0.216151 - 2.05654i) q^{86} +(1.29570 + 10.3041i) q^{87} +(3.19636 - 1.84542i) q^{88} +(-2.65594 + 1.92965i) q^{89} +(2.68866 - 1.33082i) q^{90} +(-5.65407 + 1.83712i) q^{91} -5.47747 q^{92} +(-7.64056 + 5.88404i) q^{93} +10.8883 q^{94} +(6.83210 - 2.21989i) q^{95} +(-0.325530 + 1.70118i) q^{96} +(-8.91550 + 6.47749i) q^{97} +(1.92378 - 1.11069i) q^{98} +(7.73794 + 7.91989i) 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
\(3\) −1.70118 0.325530i −0.982180 0.187945i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −1.71852 + 0.216097i −0.701582 + 0.0882214i
\(7\) −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
\(9\) 2.78806 + 1.10757i 0.929353 + 0.369191i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) 3.37174 + 1.50120i 1.01662 + 0.452628i 0.846269 0.532755i \(-0.178843\pi\)
0.170350 + 0.985384i \(0.445510\pi\)
\(12\) −1.56763 + 0.736572i −0.452536 + 0.212630i
\(13\) −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
\(15\) −1.63603 + 0.568675i −0.422422 + 0.146831i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −4.18937 + 1.86523i −1.01607 + 0.452385i −0.846077 0.533060i \(-0.821042\pi\)
−0.169995 + 0.985445i \(0.554375\pi\)
\(18\) 2.99386 + 0.191808i 0.705660 + 0.0452095i
\(19\) 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
\(21\) −0.318992 + 3.77281i −0.0696097 + 0.823294i
\(22\) 3.67062 + 0.385797i 0.782578 + 0.0822522i
\(23\) −4.43137 3.21958i −0.924004 0.671328i 0.0205136 0.999790i \(-0.493470\pi\)
−0.944517 + 0.328462i \(0.893470\pi\)
\(24\) −1.26329 + 1.18495i −0.257868 + 0.241876i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −1.35980 2.35524i −0.266678 0.461900i
\(27\) −4.38246 2.79179i −0.843404 0.537279i
\(28\) −1.46272 1.62452i −0.276429 0.307005i
\(29\) −1.85284 5.70246i −0.344064 1.05892i −0.962083 0.272756i \(-0.912065\pi\)
0.618019 0.786163i \(-0.287935\pi\)
\(30\) −1.38023 + 1.04640i −0.251995 + 0.191046i
\(31\) 3.69419 4.16569i 0.663496 0.748180i
\(32\) 1.00000i 0.176777i
\(33\) −5.24728 3.65142i −0.913434 0.635631i
\(34\) −3.40794 + 3.06853i −0.584458 + 0.526248i
\(35\) −1.28490 1.76851i −0.217188 0.298933i
\(36\) 2.90660 0.742734i 0.484434 0.123789i
\(37\) −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
\(39\) 0.0959463 + 4.70950i 0.0153637 + 0.754123i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) −4.55509 4.10142i −0.711386 0.640535i 0.231814 0.972760i \(-0.425534\pi\)
−0.943200 + 0.332225i \(0.892201\pi\)
\(42\) 0.862483 + 3.68673i 0.133084 + 0.568874i
\(43\) 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
\(45\) 2.96832 0.434843i 0.442491 0.0648225i
\(46\) −5.20938 1.69263i −0.768082 0.249565i
\(47\) 10.3554 + 3.36468i 1.51049 + 0.490789i 0.943058 0.332629i \(-0.107936\pi\)
0.567436 + 0.823418i \(0.307936\pi\)
\(48\) −0.835293 + 1.51733i −0.120564 + 0.219008i
\(49\) 2.17284 0.461852i 0.310406 0.0659789i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) 7.73409 1.80933i 1.08299 0.253357i
\(52\) −2.02105 1.81976i −0.280269 0.252356i
\(53\) −0.296898 + 2.82480i −0.0407821 + 0.388016i 0.955024 + 0.296528i \(0.0958288\pi\)
−0.995806 + 0.0914875i \(0.970838\pi\)
\(54\) −5.03067 1.30089i −0.684588 0.177029i
\(55\) 3.67062 0.385797i 0.494946 0.0520209i
\(56\) −1.89313 1.09300i −0.252981 0.146059i
\(57\) −11.4675 4.82826i −1.51891 0.639518i
\(58\) −3.52431 4.85080i −0.462765 0.636941i
\(59\) −2.06251 + 1.85710i −0.268517 + 0.241773i −0.792378 0.610030i \(-0.791157\pi\)
0.523862 + 0.851803i \(0.324491\pi\)
\(60\) −0.989321 + 1.42170i −0.127721 + 0.183541i
\(61\) 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
\(66\) −6.11881 1.85121i −0.753173 0.227868i
\(67\) 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
\(69\) 6.49050 + 6.91964i 0.781365 + 0.833027i
\(70\) −1.76851 1.28490i −0.211378 0.153575i
\(71\) −11.8911 1.24981i −1.41122 0.148325i −0.631948 0.775011i \(-0.717744\pi\)
−0.779272 + 0.626686i \(0.784411\pi\)
\(72\) 2.53483 1.60457i 0.298732 0.189101i
\(73\) 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
\(75\) −1.13251 + 1.31050i −0.130771 + 0.151324i
\(76\) 6.56264 2.92187i 0.752786 0.335162i
\(77\) 2.49320 7.67329i 0.284127 0.874453i
\(78\) 1.54656 + 4.44935i 0.175114 + 0.503790i
\(79\) 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
\(81\) 6.54656 + 6.17597i 0.727395 + 0.686219i
\(82\) −5.59956 2.49308i −0.618368 0.275315i
\(83\) 0.948324 1.05322i 0.104092 0.115606i −0.688847 0.724906i \(-0.741883\pi\)
0.792939 + 0.609300i \(0.208550\pi\)
\(84\) 1.95953 + 3.23976i 0.213802 + 0.353487i
\(85\) −2.69549 + 3.71002i −0.292367 + 0.402409i
\(86\) −0.216151 2.05654i −0.0233082 0.221762i
\(87\) 1.29570 + 10.3041i 0.138914 + 1.10471i
\(88\) 3.19636 1.84542i 0.340733 0.196722i
\(89\) −2.65594 + 1.92965i −0.281529 + 0.204543i −0.719584 0.694405i \(-0.755668\pi\)
0.438055 + 0.898948i \(0.355668\pi\)
\(90\) 2.68866 1.33082i 0.283410 0.140281i
\(91\) −5.65407 + 1.83712i −0.592708 + 0.192582i
\(92\) −5.47747 −0.571066
\(93\) −7.64056 + 5.88404i −0.792289 + 0.610146i
\(94\) 10.8883 1.12305
\(95\) 6.83210 2.21989i 0.700959 0.227755i
\(96\) −0.325530 + 1.70118i −0.0332243 + 0.173626i
\(97\) −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
\(99\) 7.73794 + 7.91989i 0.777692 + 0.795979i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 3.79042 5.21707i 0.377161 0.519117i −0.577669 0.816271i \(-0.696037\pi\)
0.954830 + 0.297154i \(0.0960374\pi\)
\(102\) 6.79644 4.11074i 0.672948 0.407024i
\(103\) 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
\(105\) 1.61015 + 3.42684i 0.157134 + 0.334426i
\(106\) 0.590543 + 2.77829i 0.0573586 + 0.269851i
\(107\) 8.22008 + 18.4626i 0.794665 + 1.78485i 0.592641 + 0.805467i \(0.298085\pi\)
0.202024 + 0.979380i \(0.435248\pi\)
\(108\) −5.18645 + 0.317341i −0.499067 + 0.0305362i
\(109\) −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
\(111\) 3.52745 + 3.04835i 0.334811 + 0.289336i
\(112\) −2.13823 0.454496i −0.202044 0.0429458i
\(113\) −4.46461 + 10.0277i −0.419995 + 0.943324i 0.572371 + 0.819995i \(0.306024\pi\)
−0.992366 + 0.123329i \(0.960643\pi\)
\(114\) −12.3983 1.04828i −1.16121 0.0981803i
\(115\) −5.44746 0.572552i −0.507979 0.0533907i
\(116\) −4.85080 3.52431i −0.450385 0.327224i
\(117\) 1.36986 8.04296i 0.126644 0.743572i
\(118\) −1.38769 + 2.40356i −0.127748 + 0.221265i
\(119\) 5.01233 + 8.68162i 0.459480 + 0.795843i
\(120\) −0.501569 + 1.65784i −0.0457868 + 0.151339i
\(121\) 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
\(126\) −0.267101 6.55257i −0.0237953 0.583749i
\(127\) 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
\(129\) −1.38984 + 3.30099i −0.122369 + 0.290636i
\(130\) −2.35524 1.35980i −0.206568 0.119262i
\(131\) −19.8470 + 2.08600i −1.73404 + 0.182255i −0.918225 0.396060i \(-0.870377\pi\)
−0.815814 + 0.578315i \(0.803711\pi\)
\(132\) −6.39139 + 0.130211i −0.556299 + 0.0113334i
\(133\) 1.64147 15.6176i 0.142334 1.35421i
\(134\) 4.43250 + 3.99104i 0.382909 + 0.344773i
\(135\) −5.19121 0.226529i −0.446788 0.0194965i
\(136\) −0.953450 + 4.48563i −0.0817577 + 0.384640i
\(137\) −5.43517 + 1.15528i −0.464358 + 0.0987024i −0.434149 0.900841i \(-0.642951\pi\)
−0.0302095 + 0.999544i \(0.509617\pi\)
\(138\) 8.31112 + 4.57529i 0.707490 + 0.389475i
\(139\) 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
\(141\) −16.5212 9.09495i −1.39133 0.765933i
\(142\) −11.6954 + 2.48593i −0.981453 + 0.208614i
\(143\) 2.08693 9.81822i 0.174518 0.821041i
\(144\) 1.91492 2.30934i 0.159577 0.192445i
\(145\) −4.45583 4.01205i −0.370037 0.333183i
\(146\) 0.188028 1.78897i 0.0155613 0.148056i
\(147\) −3.84676 + 0.0783697i −0.317275 + 0.00646383i
\(148\) −2.67693 + 0.281356i −0.220042 + 0.0231274i
\(149\) 12.4377 + 7.18089i 1.01893 + 0.588281i 0.913795 0.406176i \(-0.133138\pi\)
0.105138 + 0.994458i \(0.466471\pi\)
\(150\) −0.672113 + 1.59633i −0.0548778 + 0.130340i
\(151\) 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
\(153\) −13.7461 + 0.560330i −1.11131 + 0.0453000i
\(154\) 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
\(159\) 1.42463 4.70885i 0.112981 0.373436i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −5.98689 + 10.3696i −0.471833 + 0.817238i
\(162\) 8.13463 + 3.85070i 0.639117 + 0.302539i
\(163\) 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
\(165\) −6.36998 0.538584i −0.495903 0.0419287i
\(166\) 0.576447 1.29472i 0.0447409 0.100490i
\(167\) 11.1787 + 2.37611i 0.865036 + 0.183869i 0.619000 0.785391i \(-0.287538\pi\)
0.246037 + 0.969260i \(0.420872\pi\)
\(168\) 2.86477 + 2.47567i 0.221022 + 0.191002i
\(169\) 5.11934 2.27928i 0.393795 0.175329i
\(170\) −1.41710 + 4.36139i −0.108687 + 0.334504i
\(171\) 17.9367 + 11.9468i 1.37165 + 0.913594i
\(172\) −0.841077 1.88909i −0.0641315 0.144042i
\(173\) 2.49687 + 11.7469i 0.189834 + 0.893098i 0.965185 + 0.261568i \(0.0842394\pi\)
−0.775351 + 0.631530i \(0.782427\pi\)
\(174\) 4.41642 + 9.39937i 0.334808 + 0.712565i
\(175\) −1.99701 0.889128i −0.150960 0.0672118i
\(176\) 2.46965 2.74282i 0.186157 0.206748i
\(177\) 4.11326 2.48785i 0.309172 0.186999i
\(178\) −1.92965 + 2.65594i −0.144634 + 0.199071i
\(179\) 1.99102 + 18.9433i 0.148816 + 1.41589i 0.772899 + 0.634529i \(0.218806\pi\)
−0.624083 + 0.781358i \(0.714527\pi\)
\(180\) 2.14583 2.09653i 0.159940 0.156266i
\(181\) −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
\(183\) −4.99824 + 26.1203i −0.369481 + 1.93087i
\(184\) −5.20938 + 1.69263i −0.384041 + 0.124782i
\(185\) −2.69167 −0.197896
\(186\) −5.44833 + 7.95711i −0.399491 + 0.583444i
\(187\) −16.9256 −1.23772
\(188\) 10.3554 3.36468i 0.755247 0.245395i
\(189\) −5.06803 + 10.1655i −0.368645 + 0.739432i
\(190\) 5.81173 4.22247i 0.421628 0.306330i
\(191\) 9.12036 5.26564i 0.659926 0.381009i −0.132323 0.991207i \(-0.542243\pi\)
0.792249 + 0.610198i \(0.208910\pi\)
\(192\) 0.216097 + 1.71852i 0.0155955 + 0.124023i
\(193\) 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
\(195\) 2.43784 + 4.03057i 0.174577 + 0.288635i
\(196\) 1.48640 1.65081i 0.106171 0.117915i
\(197\) 12.7875 + 5.69337i 0.911074 + 0.405636i 0.808098 0.589048i \(-0.200497\pi\)
0.102975 + 0.994684i \(0.467164\pi\)
\(198\) 9.80660 + 5.14110i 0.696925 + 0.365362i
\(199\) −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
\(201\) −3.39187 9.75815i −0.239244 0.688287i
\(202\) 1.99274 6.13303i 0.140209 0.431518i
\(203\) −11.9739 + 5.33114i −0.840405 + 0.374172i
\(204\) 5.19351 6.00977i 0.363619 0.420768i
\(205\) −5.99554 1.27439i −0.418747 0.0890073i
\(206\) 4.39401 9.86911i 0.306145 0.687614i
\(207\) −8.78900 13.8844i −0.610878 0.965035i
\(208\) −2.70470 0.284275i −0.187537 0.0197109i
\(209\) 21.4501 + 15.5844i 1.48374 + 1.07800i
\(210\) 2.59030 + 2.76156i 0.178747 + 0.190566i
\(211\) 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
\(213\) 19.8222 + 5.99709i 1.35819 + 0.410914i
\(214\) 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
\(219\) −1.77961 + 2.55739i −0.120255 + 0.172813i
\(220\) 2.74282 2.46965i 0.184921 0.166504i
\(221\) 7.33064 + 10.0898i 0.493112 + 0.678711i
\(222\) 4.29679 + 1.80911i 0.288382 + 0.121419i
\(223\) 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
\(225\) 2.35322 1.86074i 0.156881 0.124050i
\(226\) −1.14737 + 10.9165i −0.0763221 + 0.726156i
\(227\) −17.3935 15.6612i −1.15445 1.03947i −0.998664 0.0516759i \(-0.983544\pi\)
−0.155782 0.987792i \(-0.549790\pi\)
\(228\) −12.1154 + 2.83431i −0.802363 + 0.187707i
\(229\) −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
\(231\) −6.73929 + 12.2421i −0.443413 + 0.805470i
\(232\) −5.70246 1.85284i −0.374385 0.121645i
\(233\) 0.931250 + 0.302581i 0.0610082 + 0.0198228i 0.339362 0.940656i \(-0.389789\pi\)
−0.278354 + 0.960479i \(0.589789\pi\)
\(234\) −1.18260 8.07262i −0.0773087 0.527724i
\(235\) 10.6504 2.26381i 0.694755 0.147675i
\(236\) −0.577035 + 2.71474i −0.0375618 + 0.176714i
\(237\) −4.18115 17.8725i −0.271595 1.16095i
\(238\) 7.44978 + 6.70781i 0.482898 + 0.434803i
\(239\) −1.32521 + 12.6086i −0.0857209 + 0.815580i 0.864212 + 0.503127i \(0.167817\pi\)
−0.949933 + 0.312453i \(0.898849\pi\)
\(240\) 0.0352796 + 1.73169i 0.00227729 + 0.111780i
\(241\) −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
\(243\) −9.12644 12.6376i −0.585462 0.810700i
\(244\) −9.02495 12.4218i −0.577763 0.795223i
\(245\) 1.65081 1.48640i 0.105467 0.0949625i
\(246\) 8.71431 + 6.06402i 0.555604 + 0.386628i
\(247\) 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 0.506408 0.862294i \(-0.330973\pi\)
−0.910504 + 0.413500i \(0.864306\pi\)
\(252\) −2.27888 6.14933i −0.143556 0.387371i
\(253\) −10.1082 17.5079i −0.635498 1.10072i
\(254\) 7.38010 12.7827i 0.463068 0.802058i
\(255\) 5.79325 5.43397i 0.362788 0.340289i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 9.79588 + 1.02959i 0.611050 + 0.0642240i 0.404999 0.914317i \(-0.367272\pi\)
0.206051 + 0.978541i \(0.433939\pi\)
\(258\) −0.301753 + 3.56892i −0.0187863 + 0.222191i
\(259\) −2.39324 + 5.37531i −0.148709 + 0.334005i
\(260\) −2.66016 0.565435i −0.164976 0.0350668i
\(261\) 1.15006 17.9509i 0.0711871 1.11114i
\(262\) −18.2310 + 8.11696i −1.12631 + 0.501467i
\(263\) −4.46155 + 13.7312i −0.275111 + 0.846704i 0.714079 + 0.700065i \(0.246846\pi\)
−0.989190 + 0.146639i \(0.953154\pi\)
\(264\) −6.03833 + 2.09889i −0.371634 + 0.129177i
\(265\) 1.15528 + 2.59479i 0.0709681 + 0.159397i
\(266\) −3.26496 15.3604i −0.200188 0.941809i
\(267\) 5.14640 2.41811i 0.314955 0.147986i
\(268\) 5.44885 + 2.42599i 0.332842 + 0.148191i
\(269\) 4.96616 5.51548i 0.302792 0.336285i −0.572477 0.819921i \(-0.694017\pi\)
0.875269 + 0.483636i \(0.160684\pi\)
\(270\) −5.00714 + 1.38873i −0.304725 + 0.0845155i
\(271\) −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
\(273\) 10.2167 1.28471i 0.618340 0.0777541i
\(274\) −4.81216 + 2.77830i −0.290713 + 0.167843i
\(275\) 2.98595 2.16942i 0.180059 0.130821i
\(276\) 9.31819 + 1.78308i 0.560889 + 0.107329i
\(277\) −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
\(279\) 14.9134 7.52261i 0.892844 0.450367i
\(280\) −2.18600 −0.130639
\(281\) 24.9934 8.12085i 1.49098 0.484449i 0.553609 0.832777i \(-0.313250\pi\)
0.937373 + 0.348327i \(0.113250\pi\)
\(282\) −18.5231 3.54448i −1.10303 0.211071i
\(283\) 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
\(285\) −12.3453 + 1.55238i −0.731273 + 0.0919550i
\(286\) −1.04921 9.98258i −0.0620412 0.590282i
\(287\) −7.87578 + 10.8401i −0.464892 + 0.639869i
\(288\) 1.10757 2.78806i 0.0652644 0.164288i
\(289\) 2.69656 2.99483i 0.158621 0.176167i
\(290\) −5.47754 2.43876i −0.321652 0.143209i
\(291\) 17.2755 8.11714i 1.01271 0.475835i
\(292\) −0.373996 1.75951i −0.0218865 0.102968i
\(293\) −2.36345 5.30840i −0.138074 0.310120i 0.831253 0.555895i \(-0.187624\pi\)
−0.969327 + 0.245775i \(0.920958\pi\)
\(294\) −3.63427 + 1.26325i −0.211955 + 0.0736741i
\(295\) −0.857642 + 2.63955i −0.0499338 + 0.153681i
\(296\) −2.45897 + 1.09480i −0.142925 + 0.0636341i
\(297\) −10.5855 15.9921i −0.614233 0.927957i
\(298\) 14.0479 + 2.98598i 0.813775 + 0.172973i
\(299\) −6.05895 + 13.6086i −0.350398 + 0.787007i
\(300\) −0.145925 + 1.72589i −0.00842496 + 0.0996445i
\(301\) −4.49560 0.472507i −0.259122 0.0272348i
\(302\) 19.1565 + 13.9180i 1.10233 + 0.800891i
\(303\) −8.14652 + 7.64130i −0.468005 + 0.438981i
\(304\) 3.59185 6.22127i 0.206007 0.356814i
\(305\) −7.67708 13.2971i −0.439588 0.761390i
\(306\) −12.9002 + 4.78069i −0.737454 + 0.273294i
\(307\) 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 \(0.0934600\pi\)
−0.957204 + 0.289413i \(0.906540\pi\)
\(312\) 3.86646 + 2.69055i 0.218895 + 0.152322i
\(313\) 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
\(315\) −1.62362 6.35385i −0.0914806 0.357999i
\(316\) 9.17755 + 5.29866i 0.516278 + 0.298073i
\(317\) 13.6421 1.43384i 0.766214 0.0805324i 0.286646 0.958037i \(-0.407460\pi\)
0.479569 + 0.877504i \(0.340793\pi\)
\(318\) −0.100207 4.91862i −0.00561932 0.275822i
\(319\) 2.31321 22.0087i 0.129515 1.23225i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) −7.97374 34.0842i −0.445051 1.90239i
\(322\) −2.48949 + 11.7121i −0.138734 + 0.652691i
\(323\) −32.2234 + 6.84930i −1.79296 + 0.381105i
\(324\) 8.92642 + 1.14849i 0.495912 + 0.0638051i
\(325\) −2.58649 0.840401i −0.143472 0.0466170i
\(326\) 8.46708 + 2.75112i 0.468948 + 0.152370i
\(327\) 11.0281 20.0327i 0.609853 1.10781i
\(328\) −5.99554 + 1.27439i −0.331048 + 0.0703665i
\(329\) 4.94870 23.2818i 0.272831 1.28357i
\(330\) −6.22465 + 1.45621i −0.342656 + 0.0801617i
\(331\) −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
\(333\) −5.00852 6.33409i −0.274465 0.347106i
\(334\) 11.3659 1.19460i 0.621913 0.0653656i
\(335\) 5.16542 + 2.98226i 0.282217 + 0.162938i
\(336\) 3.48958 + 1.46924i 0.190372 + 0.0801537i
\(337\) 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
\(339\) 10.8594 15.6056i 0.589804 0.847578i
\(340\) 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
\(345\) 9.08076 + 2.74733i 0.488892 + 0.147911i
\(346\) 6.00465 + 10.4004i 0.322812 + 0.559127i
\(347\) 1.43457 2.48476i 0.0770120 0.133389i −0.824947 0.565209i \(-0.808795\pi\)
0.901959 + 0.431821i \(0.142129\pi\)
\(348\) 7.10483 + 7.57459i 0.380859 + 0.406040i
\(349\) −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
\(351\) −4.94861 + 13.2366i −0.264137 + 0.706519i
\(352\) 1.50120 3.37174i 0.0800141 0.179715i
\(353\) 2.56334 + 0.544856i 0.136433 + 0.0289997i 0.275622 0.961266i \(-0.411116\pi\)
−0.139189 + 0.990266i \(0.544450\pi\)
\(354\) 3.14315 3.63716i 0.167057 0.193313i
\(355\) −10.9229 + 4.86321i −0.579729 + 0.258112i
\(356\) −1.01448 + 3.12224i −0.0537673 + 0.165479i
\(357\) −5.70078 16.4007i −0.301717 0.868017i
\(358\) 7.74737 + 17.4009i 0.409461 + 0.919665i
\(359\) −7.14471 33.6132i −0.377084 1.77404i −0.600815 0.799388i \(-0.705157\pi\)
0.223732 0.974651i \(-0.428176\pi\)
\(360\) 1.39294 2.65701i 0.0734143 0.140037i
\(361\) 29.7866 + 13.2619i 1.56772 + 0.697993i
\(362\) −7.89125 + 8.76413i −0.414755 + 0.460632i
\(363\) −2.35059 3.88632i −0.123374 0.203979i
\(364\) −3.49441 + 4.80964i −0.183157 + 0.252094i
\(365\) −0.188028 1.78897i −0.00984183 0.0936388i
\(366\) 3.31800 + 26.3864i 0.173434 + 1.37924i
\(367\) 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
\(369\) −8.15724 16.4801i −0.424649 0.857921i
\(370\) −2.55993 + 0.831773i −0.133085 + 0.0432418i
\(371\) 6.20903 0.322357
\(372\) −2.72279 + 9.25129i −0.141170 + 0.479657i
\(373\) −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
\(375\) −0.325530 + 1.70118i −0.0168103 + 0.0878488i
\(376\) 8.80885 6.40000i 0.454282 0.330055i
\(377\) −14.1218 + 8.15323i −0.727310 + 0.419913i
\(378\) −1.67867 + 11.2341i −0.0863415 + 0.577819i
\(379\) −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
\(381\) −21.8753 + 13.2310i −1.12071 + 0.677846i
\(382\) 7.04681 7.82627i 0.360546 0.400427i
\(383\) −3.33636 1.48544i −0.170480 0.0759026i 0.319722 0.947511i \(-0.396410\pi\)
−0.490202 + 0.871609i \(0.663077\pi\)
\(384\) 0.736572 + 1.56763i 0.0375880 + 0.0799978i
\(385\) −1.67747 7.89187i −0.0854917 0.402207i
\(386\) 5.83994 + 13.1167i 0.297245 + 0.667623i
\(387\) 3.43895 5.16317i 0.174812 0.262459i
\(388\) −3.40542 + 10.4808i −0.172884 + 0.532082i
\(389\) −26.6684 + 11.8736i −1.35214 + 0.602013i −0.949622 0.313397i \(-0.898533\pi\)
−0.402522 + 0.915411i \(0.631866\pi\)
\(390\) 3.56404 + 3.07997i 0.180472 + 0.155960i
\(391\) 24.5699 + 5.22249i 1.24255 + 0.264113i
\(392\) 0.903519 2.02934i 0.0456346 0.102497i
\(393\) 34.4424 + 2.91212i 1.73739 + 0.146897i
\(394\) 13.9210 + 1.46316i 0.701330 + 0.0737128i
\(395\) 8.57341 + 6.22895i 0.431375 + 0.313412i
\(396\) 10.9153 + 1.85908i 0.548515 + 0.0934221i
\(397\) −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
\(399\) −7.87644 + 26.0340i −0.394315 + 1.30333i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −9.34516 28.7614i −0.466675 1.43628i −0.856864 0.515543i \(-0.827590\pi\)
0.390189 0.920735i \(-0.372410\pi\)
\(402\) −6.24129 8.23240i −0.311287 0.410595i
\(403\) −13.1702 7.47172i −0.656056 0.372193i
\(404\) 6.44865i 0.320832i
\(405\) 8.75747 + 2.07526i 0.435162 + 0.103121i
\(406\) −9.74047 + 8.77036i −0.483411 + 0.435266i
\(407\) −5.83937 8.03720i −0.289447 0.398389i
\(408\) 3.08220 7.32051i 0.152592 0.362419i
\(409\) 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
\(411\) 9.62232 0.196035i 0.474634 0.00966969i
\(412\) 1.12923 10.7439i 0.0556332 0.529314i
\(413\) 4.50867 + 4.05962i 0.221857 + 0.199761i
\(414\) −12.6494 10.4889i −0.621682 0.515503i
\(415\) 0.294662 1.38628i 0.0144644 0.0680497i
\(416\) −2.66016 + 0.565435i −0.130425 + 0.0277227i
\(417\) −8.00215 4.40520i −0.391867 0.215724i
\(418\) 25.2162 + 8.19323i 1.23336 + 0.400744i
\(419\) 0.514090 + 0.167038i 0.0251149 + 0.00816033i 0.321548 0.946893i \(-0.395797\pi\)
−0.296433 + 0.955054i \(0.595797\pi\)
\(420\) 3.31689 + 1.82595i 0.161847 + 0.0890974i
\(421\) −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
\(423\) 25.1449 + 20.8503i 1.22259 + 1.01378i
\(424\) 2.11080 + 1.90057i 0.102509 + 0.0922998i
\(425\) −0.479351 + 4.56072i −0.0232519 + 0.221227i
\(426\) 20.7052 0.421826i 1.00317 0.0204376i
\(427\) −33.3804 + 3.50842i −1.61539 + 0.169784i
\(428\) 17.5022 + 10.1049i 0.846002 + 0.488440i
\(429\) −6.74638 + 16.0233i −0.325718 + 0.773610i
\(430\) −1.21546 1.67294i −0.0586148 0.0806763i
\(431\) −15.0404 + 13.5425i −0.724472 + 0.652317i −0.946493 0.322725i \(-0.895401\pi\)
0.222021 + 0.975042i \(0.428735\pi\)
\(432\) −4.00940 + 3.30526i −0.192902 + 0.159024i
\(433\) 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
\(438\) −0.902233 + 2.98215i −0.0431104 + 0.142493i
\(439\) 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
\(441\) 6.56956 + 1.11891i 0.312836 + 0.0532816i
\(442\) 10.0898 + 7.33064i 0.479921 + 0.348683i
\(443\) −17.6901 1.85930i −0.840481 0.0883381i −0.325502 0.945541i \(-0.605533\pi\)
−0.514979 + 0.857203i \(0.672200\pi\)
\(444\) 4.64554 + 0.392782i 0.220468 + 0.0186406i
\(445\) −1.33528 + 2.99910i −0.0632986 + 0.142171i
\(446\) 2.66771 + 0.567038i 0.126320 + 0.0268500i
\(447\) −18.8212 16.2649i −0.890211 0.769301i
\(448\) −1.99701 + 0.889128i −0.0943500 + 0.0420073i
\(449\) −3.59150 + 11.0535i −0.169493 + 0.521646i −0.999339 0.0363460i \(-0.988428\pi\)
0.829846 + 0.557992i \(0.188428\pi\)
\(450\) 1.66304 2.49686i 0.0783965 0.117703i
\(451\) −9.20156 20.6670i −0.433285 0.973173i
\(452\) 2.28218 + 10.7368i 0.107344 + 0.505016i
\(453\) −17.4411 37.1194i −0.819453 1.74402i
\(454\) −21.3817 9.51976i −1.00349 0.446785i
\(455\) −3.97801 + 4.41803i −0.186492 + 0.207120i
\(456\) −10.6466 + 6.43946i −0.498572 + 0.301555i
\(457\) 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
\(459\) 23.5671 + 3.52155i 1.10002 + 0.164372i
\(460\) −4.74363 + 2.73874i −0.221173 + 0.127694i
\(461\) −30.0510 + 21.8334i −1.39962 + 1.01688i −0.404885 + 0.914368i \(0.632688\pi\)
−0.994732 + 0.102513i \(0.967312\pi\)
\(462\) −2.62644 + 13.7255i −0.122193 + 0.638566i
\(463\) 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
\(465\) −3.67490 + 8.91600i −0.170419 + 0.413470i
\(466\) 0.979174 0.0453594
\(467\) 33.9339 11.0258i 1.57027 0.510212i 0.610744 0.791828i \(-0.290870\pi\)
0.959527 + 0.281616i \(0.0908704\pi\)
\(468\) −3.61929 7.31207i −0.167302 0.338001i
\(469\) 10.5483 7.66381i 0.487076 0.353882i
\(470\) 9.42958 5.44417i 0.434954 0.251121i
\(471\) 2.23999 + 17.8135i 0.103213 + 0.820805i
\(472\) 0.290107 + 2.76018i 0.0133533 + 0.127048i
\(473\) 4.48607 6.17454i 0.206270 0.283906i
\(474\) −9.49943 15.7058i −0.436323 0.721389i
\(475\) 4.80683 5.33853i 0.220553 0.244948i
\(476\) 9.15799 + 4.07740i 0.419756 + 0.186887i
\(477\) −3.95644 + 7.54686i −0.181153 + 0.345547i
\(478\) 2.63591 + 12.4010i 0.120564 + 0.567207i
\(479\) 8.71390 + 19.5717i 0.398148 + 0.894256i 0.995718 + 0.0924392i \(0.0294664\pi\)
−0.597570 + 0.801817i \(0.703867\pi\)
\(480\) 0.568675 + 1.63603i 0.0259563 + 0.0746744i
\(481\) −2.26208 + 6.96198i −0.103142 + 0.317439i
\(482\) −3.85092 + 1.71454i −0.175404 + 0.0780951i
\(483\) 13.5604 15.6917i 0.617020 0.713996i
\(484\) 2.56496 + 0.545198i 0.116589 + 0.0247817i
\(485\) −4.48230 + 10.0674i −0.203531 + 0.457138i
\(486\) −12.5850 9.19881i −0.570867 0.417267i
\(487\) 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
\(489\) −10.5493 11.2468i −0.477058 0.508600i
\(490\) 1.11069 1.92378i 0.0501760 0.0869074i
\(491\) 1.67715 + 2.90492i 0.0756889 + 0.131097i 0.901386 0.433017i \(-0.142551\pi\)
−0.825697 + 0.564114i \(0.809218\pi\)
\(492\) 10.1617 + 3.07436i 0.458124 + 0.138603i
\(493\) 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
\(498\) −1.40211 + 2.01491i −0.0628302 + 0.0902902i
\(499\) −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
\(501\) −18.2436 7.68122i −0.815064 0.343172i
\(502\) −8.28593 4.78389i −0.369819 0.213515i
\(503\) 37.9553 3.98926i 1.69234 0.177872i 0.791248 0.611495i \(-0.209432\pi\)
0.901095 + 0.433623i \(0.142765\pi\)
\(504\) −4.06759 5.14414i −0.181185 0.229138i
\(505\) 0.674067 6.41332i 0.0299956 0.285389i
\(506\) −15.0237 13.5274i −0.667887 0.601368i
\(507\) −9.45091 + 2.21097i −0.419730 + 0.0981926i
\(508\) 3.06882 14.4376i 0.136157 0.640567i
\(509\) 8.18192 1.73912i 0.362657 0.0770852i −0.0229793 0.999736i \(-0.507315\pi\)
0.385637 + 0.922651i \(0.373982\pi\)
\(510\) 3.83052 6.95823i 0.169618 0.308116i
\(511\) −3.73977 1.21513i −0.165438 0.0537540i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) −26.6245 26.1626i −1.17550 1.15511i
\(514\) 9.63460 2.04790i 0.424964 0.0903289i
\(515\) 2.24609 10.5670i 0.0989745 0.465638i
\(516\) 0.815872 + 3.48749i 0.0359168 + 0.153528i
\(517\) 29.8648 + 26.8904i 1.31345 + 1.18264i
\(518\) −0.615046 + 5.85178i −0.0270236 + 0.257112i
\(519\) −0.423684 20.7964i −0.0185977 0.912860i
\(520\) −2.70470 + 0.284275i −0.118609 + 0.0124663i
\(521\) −19.5869 11.3085i −0.858119 0.495435i 0.00526273 0.999986i \(-0.498325\pi\)
−0.863382 + 0.504551i \(0.831658\pi\)
\(522\) −4.45337 17.4278i −0.194919 0.762792i
\(523\) −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
\(525\) 3.10785 + 2.16266i 0.135638 + 0.0943862i
\(526\) 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
\(531\) −7.80729 + 2.89331i −0.338807 + 0.125559i
\(532\) −7.85180 13.5997i −0.340419 0.589622i
\(533\) −8.33485 + 14.4364i −0.361022 + 0.625309i
\(534\) 4.14729 3.89008i 0.179471 0.168340i
\(535\) 16.3501 + 11.8790i 0.706877 + 0.513576i
\(536\) 5.93184 + 0.623461i 0.256216 + 0.0269294i
\(537\) 2.77952 32.8742i 0.119945 1.41862i
\(538\) 3.01872 6.78016i 0.130146 0.292313i
\(539\) 8.01961 + 1.70462i 0.345429 + 0.0734232i
\(540\) −4.33293 + 2.86805i −0.186460 + 0.123421i
\(541\) −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
\(543\) 19.2942 6.70655i 0.827995 0.287806i
\(544\) 1.86523 + 4.18937i 0.0799711 + 0.179618i
\(545\) 2.74498 + 12.9141i 0.117582 + 0.553180i
\(546\) 9.31962 4.37895i 0.398843 0.187402i
\(547\) −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
\(549\) 17.0059 42.8083i 0.725793 1.82702i
\(550\) 2.16942 2.98595i 0.0925043 0.127321i
\(551\) −4.50234 42.8369i −0.191806 1.82491i
\(552\) 9.41313 1.18367i 0.400649 0.0503802i
\(553\) 20.0622 11.5829i 0.853130 0.492555i
\(554\) −16.4286 + 11.9361i −0.697986 + 0.507116i
\(555\) 4.57903 + 0.876221i 0.194369 + 0.0371935i
\(556\) 5.01572 1.62971i 0.212714 0.0691150i
\(557\) −4.47753 −0.189719 −0.0948595 0.995491i \(-0.530240\pi\)
−0.0948595 + 0.995491i \(0.530240\pi\)
\(558\) 11.8589 11.7629i 0.502027 0.497964i
\(559\) −5.62376 −0.237860
\(560\) −2.07901 + 0.675512i −0.0878543 + 0.0285456i
\(561\) 28.7935 + 5.50979i 1.21566 + 0.232623i
\(562\) 21.2607 15.4468i 0.896827 0.651583i
\(563\) −1.56813 + 0.905361i −0.0660889 + 0.0381564i −0.532680 0.846317i \(-0.678815\pi\)
0.466591 + 0.884473i \(0.345482\pi\)
\(564\) −18.7118 + 2.35294i −0.787909 + 0.0990767i
\(565\) 1.14737 + 10.9165i 0.0482703 + 0.459262i
\(566\) 0.128846 0.177341i 0.00541579 0.00745420i
\(567\) 11.9308 15.6436i 0.501048 0.656970i
\(568\) −8.00056 + 8.88552i −0.335696 + 0.372828i
\(569\) 38.3816 + 17.0886i 1.60904 + 0.716391i 0.997214 0.0746005i \(-0.0237681\pi\)
0.611827 + 0.790992i \(0.290435\pi\)
\(570\) −11.2614 + 5.29131i −0.471687 + 0.221629i
\(571\) 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
\(573\) −17.2295 + 5.98888i −0.719775 + 0.250189i
\(574\) −4.14054 + 12.7433i −0.172823 + 0.531894i
\(575\) −5.00392 + 2.22789i −0.208678 + 0.0929093i
\(576\) 0.191808 2.99386i 0.00799198 0.124744i
\(577\) −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
\(579\) 2.09519 24.7804i 0.0870732 1.02984i
\(580\) −5.96307 0.626744i −0.247603 0.0260241i
\(581\) −2.50642 1.82102i −0.103984 0.0755487i
\(582\) 13.9217 13.0583i 0.577072 0.541283i
\(583\) −5.24164 + 9.07879i −0.217087 + 0.376005i
\(584\) −0.899410 1.55782i −0.0372179 0.0644632i
\(585\) −2.83514 7.65034i −0.117219 0.316303i
\(586\) −3.88817 4.31825i −0.160619 0.178385i
\(587\) 0.133143 + 0.409772i 0.00549541 + 0.0169131i 0.953767 0.300548i \(-0.0971696\pi\)
−0.948271 + 0.317461i \(0.897170\pi\)
\(588\) −3.06603 + 2.32447i −0.126441 + 0.0958595i
\(589\) 32.1798 23.7536i 1.32595 0.978749i
\(590\) 2.77539i 0.114261i
\(591\) −19.9006 13.8482i −0.818601 0.569639i
\(592\) −2.00030 + 1.80108i −0.0822120 + 0.0740240i
\(593\) −12.1674 16.7470i −0.499657 0.687719i 0.482476 0.875909i \(-0.339738\pi\)
−0.982132 + 0.188191i \(0.939738\pi\)
\(594\) −15.0093 11.9383i −0.615837 0.489835i
\(595\) 8.68162 + 5.01233i 0.355912 + 0.205486i
\(596\) 14.2831 1.50121i 0.585059 0.0614921i
\(597\) 0.394278 + 19.3530i 0.0161367 + 0.792067i
\(598\) −1.55711 + 14.8149i −0.0636749 + 0.605826i
\(599\) −11.9576 10.7667i −0.488576 0.439916i 0.387657 0.921804i \(-0.373285\pi\)
−0.876233 + 0.481888i \(0.839951\pi\)
\(600\) 0.394548 + 1.68651i 0.0161073 + 0.0688517i
\(601\) −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
\(603\) 2.59362 + 17.7046i 0.105621 + 0.720986i
\(604\) 22.5198 + 7.31712i 0.916317 + 0.297729i
\(605\) 2.49392 + 0.810322i 0.101392 + 0.0329443i
\(606\) −5.38651 + 9.78472i −0.218812 + 0.397477i
\(607\) 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
\(609\) 22.1053 5.17137i 0.895752 0.209555i
\(610\) −11.4104 10.2739i −0.461992 0.415980i
\(611\) 3.09528 29.4496i 0.125222 1.19140i
\(612\) −10.7915 + 8.53308i −0.436220 + 0.344929i
\(613\) −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
\(615\) 9.78467 + 4.11970i 0.394556 + 0.166122i
\(616\) −4.74236 6.52729i −0.191075 0.262992i
\(617\) 19.2548 17.3371i 0.775168 0.697964i −0.183334 0.983051i \(-0.558689\pi\)
0.958502 + 0.285086i \(0.0920223\pi\)
\(618\) −10.6877 + 15.3588i −0.429923 + 0.617822i
\(619\) 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
\(624\) 4.50865 + 1.36406i 0.180490 + 0.0546063i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 11.4373 19.8100i 0.457127 0.791767i
\(627\) −31.4175 33.4947i −1.25469 1.33765i
\(628\) −8.38598 6.09277i −0.334637 0.243128i
\(629\) 12.2760 + 1.29026i 0.489475 + 0.0514459i
\(630\) −3.50760 5.54114i −0.139746 0.220764i
\(631\) 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
\(633\) −6.55701 + 7.58757i −0.260618 + 0.301579i
\(634\) 12.5313 5.57929i 0.497681 0.221582i
\(635\) 4.56115 14.0378i 0.181004 0.557072i
\(636\) −1.61524 4.64692i −0.0640484 0.184262i
\(637\) −2.45721 5.51897i −0.0973580 0.218670i
\(638\) −4.60107 21.6463i −0.182158 0.856987i
\(639\) −31.7690 16.6549i −1.25676 0.658857i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) 6.80511 7.55784i 0.268786 0.298517i −0.593609 0.804754i \(-0.702297\pi\)
0.862394 + 0.506237i \(0.168964\pi\)
\(642\) −18.1161 29.9520i −0.714984 1.18211i
\(643\) 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
\(645\) 0.446861 + 3.55366i 0.0175951 + 0.139925i
\(646\) −28.5297 + 16.4717i −1.12249 + 0.648069i
\(647\) −26.4307 + 19.2031i −1.03910 + 0.754950i −0.970110 0.242668i \(-0.921978\pi\)
−0.0689898 + 0.997617i \(0.521978\pi\)
\(648\) 8.84443 1.66614i 0.347442 0.0654520i
\(649\) −9.74214 + 3.16541i −0.382413 + 0.124253i
\(650\) −2.71959 −0.106671
\(651\) 14.5379 + 15.2663i 0.569787 + 0.598333i
\(652\) 8.90281 0.348661
\(653\) 32.4979 10.5592i 1.27174 0.413214i 0.406077 0.913839i \(-0.366897\pi\)
0.865664 + 0.500625i \(0.166897\pi\)
\(654\) 4.29785 22.4601i 0.168059 0.878259i
\(655\) −16.1450 + 11.7300i −0.630837 + 0.458330i
\(656\) −5.30829 + 3.06474i −0.207254 + 0.119658i
\(657\) 3.85996 3.77128i 0.150591 0.147132i
\(658\) −2.48798 23.6716i −0.0969916 0.922813i
\(659\) 10.3301 14.2182i 0.402403 0.553861i −0.558942 0.829207i \(-0.688792\pi\)
0.961345 + 0.275346i \(0.0887925\pi\)
\(660\) −5.47000 + 3.30846i −0.212919 + 0.128782i
\(661\) 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
\(663\) −9.18625 19.5509i −0.356764 0.759294i
\(664\) −0.294662 1.38628i −0.0114351 0.0537980i
\(665\) −6.38723 14.3459i −0.247686 0.556312i
\(666\) −6.72072 4.47636i −0.260423 0.173456i
\(667\) −10.1489 + 31.2350i −0.392966 + 1.20943i
\(668\) 10.4404 4.64838i 0.403952 0.179851i
\(669\) −3.57414 3.08870i −0.138184 0.119416i
\(670\) 5.83417 + 1.24009i 0.225394 + 0.0479089i
\(671\) 23.0496 51.7703i 0.889821 1.99857i
\(672\) 3.77281 + 0.318992i 0.145539 + 0.0123054i
\(673\) 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
\(675\) −4.60899 + 2.39943i −0.177400 + 0.0923540i
\(676\) 2.80191 4.85304i 0.107766 0.186655i
\(677\) 0.202661 + 0.351020i 0.00778891 + 0.0134908i 0.869894 0.493239i \(-0.164187\pi\)
−0.862105 + 0.506730i \(0.830854\pi\)
\(678\) 5.50555 18.1975i 0.211439 0.698872i
\(679\) 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 \(-0.866026\pi\)
0.912725 0.408575i \(-0.133974\pi\)
\(684\) 21.5332 0.877754i 0.823343 0.0335618i
\(685\) −4.12936 + 3.71809i −0.157775 + 0.142061i
\(686\) −11.8486 16.3082i −0.452380 0.622648i
\(687\) 4.52269 10.7418i 0.172551 0.409825i
\(688\) −1.79082 1.03393i −0.0682746 0.0394183i
\(689\) 7.68230 0.807442i 0.292672 0.0307611i
\(690\) 9.48529 0.193243i 0.361099 0.00735664i
\(691\) 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
\(693\) 15.4499 18.6322i 0.586895 0.707779i
\(694\) 0.596530 2.80645i 0.0226440 0.106531i
\(695\) 5.15860 1.09649i 0.195677 0.0415924i
\(696\) 9.09778 + 5.00834i 0.344850 + 0.189841i
\(697\) 26.7331 + 8.68611i 1.01259 + 0.329010i
\(698\) −25.8926 8.41300i −0.980048 0.318437i
\(699\) −1.48573 0.817897i −0.0561954 0.0309357i
\(700\) −2.13823 + 0.454496i −0.0808177 + 0.0171783i
\(701\) 3.89924 18.3445i 0.147272 0.692861i −0.841109 0.540866i \(-0.818097\pi\)
0.988381 0.151995i \(-0.0485699\pi\)
\(702\) −0.616067 + 14.1180i −0.0232520 + 0.532849i
\(703\) −14.3696 12.9384i −0.541959 0.487982i
\(704\) 0.385797 3.67062i 0.0145403 0.138342i
\(705\) −18.8552 + 0.384137i −0.710129 + 0.0144674i
\(706\) 2.60626 0.273928i 0.0980877 0.0103094i
\(707\) −12.2082 7.04839i −0.459135 0.265082i
\(708\) 1.86537 4.43043i 0.0701050 0.166506i
\(709\) 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
\(711\) 1.29485 + 31.7656i 0.0485608 + 1.19130i
\(712\) 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
\(717\) 6.35890 21.0181i 0.237478 0.784935i
\(718\) −17.1821 29.7602i −0.641230 1.11064i
\(719\) −16.5506 + 28.6664i −0.617232 + 1.06908i 0.372757 + 0.927929i \(0.378413\pi\)
−0.989989 + 0.141148i \(0.954921\pi\)
\(720\) 0.503701 2.95741i 0.0187718 0.110216i
\(721\) −19.1054 13.8809i −0.711523 0.516952i
\(722\) 32.4269 + 3.40821i 1.20680 + 0.126840i
\(723\) 7.27525 + 0.615124i 0.270569 + 0.0228767i
\(724\) −4.79676 + 10.7737i −0.178270 + 0.400402i
\(725\) −5.86489 1.24662i −0.217817 0.0462983i
\(726\) −3.43648 2.96973i −0.127540 0.110217i
\(727\) 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
\(729\) 11.4119 + 24.4698i 0.422661 + 0.906288i
\(730\) −0.731646 1.64330i −0.0270794 0.0608214i
\(731\) 1.97161 + 9.27568i 0.0729225 + 0.343074i
\(732\) 11.3094 + 24.0696i 0.418009 + 0.889640i
\(733\) 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
\(735\) −3.29220 + 1.99125i −0.121435 + 0.0734483i
\(736\) −3.21958 + 4.43137i −0.118675 + 0.163342i
\(737\) 2.30109 + 21.8934i 0.0847618 + 0.806455i
\(738\) −12.8506 13.1528i −0.473038 0.484161i
\(739\) −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
\(741\) −6.35980 + 33.2356i −0.233633 + 1.22094i
\(742\) 5.90514 1.91870i 0.216784 0.0704375i
\(743\) 9.56261 0.350818 0.175409 0.984496i \(-0.443875\pi\)
0.175409 + 0.984496i \(0.443875\pi\)
\(744\) 0.269281 + 9.63989i 0.00987233 + 0.353416i
\(745\) 14.3618 0.526175
\(746\) −20.1464 + 6.54595i −0.737611 + 0.239664i
\(747\) 3.81050 1.88610i 0.139419 0.0690089i
\(748\) −13.6931 + 9.94861i −0.500669 + 0.363757i
\(749\) 38.2599 22.0894i 1.39799 0.807129i
\(750\) 0.216097 + 1.71852i 0.00789076 + 0.0627514i
\(751\) 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
\(753\) 8.57654 + 14.1799i 0.312546 + 0.516745i
\(754\) −10.9111 + 12.1181i −0.397361 + 0.441314i
\(755\) 21.6316 + 9.63100i 0.787254 + 0.350508i
\(756\) 1.87501 + 11.2030i 0.0681935 + 0.407449i
\(757\) 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
\(759\) 11.4966 + 33.0748i 0.417299 + 1.20054i
\(760\) 2.21989 6.83210i 0.0805237 0.247826i
\(761\) −27.2571 + 12.1356i −0.988069 + 0.439917i −0.836165 0.548479i \(-0.815207\pi\)
−0.151904 + 0.988395i \(0.548541\pi\)
\(762\) −16.7161 + 19.3433i −0.605559 + 0.700734i
\(763\) 28.2303 + 6.00054i 1.02201 + 0.217234i
\(764\) 4.28346 9.62081i 0.154970 0.348069i
\(765\) −11.6243 + 7.35831i −0.420278 + 0.266040i
\(766\) −3.63209 0.381749i −0.131233 0.0137931i
\(767\) 6.10640 + 4.43656i 0.220489 + 0.160195i
\(768\) 1.18495 + 1.26329i 0.0427580 + 0.0455851i
\(769\) −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
\(771\) −16.3294 4.94038i −0.588091 0.177923i
\(772\) 9.60740 + 10.6701i 0.345778 + 0.384025i
\(773\) −9.43346 29.0332i −0.339298 1.04425i −0.964566 0.263842i