Properties

Label 930.2.br.b.11.19
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 11.19
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(1.16166 + 1.28473i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.50181 + 0.862882i) q^{6} +(-0.480398 - 4.57068i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.301087 + 2.98485i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(1.16166 + 1.28473i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(1.50181 + 0.862882i) q^{6} +(-0.480398 - 4.57068i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.301087 + 2.98485i) q^{9} +(0.669131 - 0.743145i) q^{10} +(0.516409 + 0.229920i) q^{11} +(1.69495 + 0.356565i) q^{12} +(-1.00968 - 4.75019i) q^{13} +(-1.86930 - 4.19852i) q^{14} +(1.64840 + 0.531782i) q^{15} +(0.309017 - 0.951057i) q^{16} +(1.72428 - 0.767698i) q^{17} +(0.636020 + 2.93180i) q^{18} +(0.927360 + 0.197116i) q^{19} +(0.406737 - 0.913545i) q^{20} +(5.31405 - 5.92676i) q^{21} +(0.562183 + 0.0590878i) q^{22} +(1.21642 + 0.883780i) q^{23} +(1.72218 - 0.184656i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-2.42816 - 4.20569i) q^{26} +(-4.18450 + 3.08057i) q^{27} +(-3.07523 - 3.41539i) q^{28} +(0.844119 + 2.59793i) q^{29} +(1.73205 - 0.00362720i) q^{30} +(4.21421 + 3.63874i) q^{31} -1.00000i q^{32} +(0.304506 + 0.930537i) q^{33} +(1.40265 - 1.26296i) q^{34} +(-2.70138 - 3.71812i) q^{35} +(1.51087 + 2.59177i) q^{36} +(-3.87698 - 2.23838i) q^{37} +(0.942884 - 0.0991011i) q^{38} +(4.92982 - 6.81528i) q^{39} +(0.104528 - 0.994522i) q^{40} +(6.77733 + 6.10233i) q^{41} +(3.22249 - 7.27882i) q^{42} +(-2.64923 + 12.4637i) q^{43} +(0.552927 - 0.117528i) q^{44} +(1.23168 + 2.73550i) q^{45} +(1.42999 + 0.464631i) q^{46} +(-9.02610 - 2.93276i) q^{47} +(1.58083 - 0.707801i) q^{48} +(-13.8133 + 2.93610i) q^{49} +(0.207912 - 0.978148i) q^{50} +(2.98932 + 1.32343i) q^{51} +(-3.60894 - 3.24951i) q^{52} +(0.0116490 - 0.110832i) q^{53} +(-3.02775 + 4.22288i) q^{54} +(0.562183 - 0.0590878i) q^{55} +(-3.98013 - 2.29793i) q^{56} +(0.824036 + 1.42039i) q^{57} +(1.60561 + 2.20993i) q^{58} +(2.10574 - 1.89601i) q^{59} +(1.64615 - 0.538682i) q^{60} +4.31193i q^{61} +(5.13239 + 2.15838i) q^{62} +(13.7874 - 0.0577467i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-3.24951 - 3.60894i) q^{65} +(0.577154 + 0.790896i) q^{66} +(-3.48591 - 6.03777i) q^{67} +(0.943729 - 1.63459i) q^{68} +(0.277644 + 2.58943i) q^{69} +(-3.71812 - 2.70138i) q^{70} +(9.48638 + 0.997059i) q^{71} +(2.23782 + 1.99804i) q^{72} +(-3.17525 + 7.13174i) q^{73} +(-4.37893 - 0.930770i) q^{74} +(1.69344 - 0.363661i) q^{75} +(0.866112 - 0.385618i) q^{76} +(0.802808 - 2.47079i) q^{77} +(2.58250 - 8.00512i) q^{78} +(5.71023 + 12.8254i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(-8.81869 - 1.79740i) q^{81} +(8.33135 + 3.70936i) q^{82} +(6.99219 - 7.76562i) q^{83} +(0.815493 - 7.91837i) q^{84} +(1.10942 - 1.52699i) q^{85} +(1.33191 + 12.6723i) q^{86} +(-2.35707 + 4.10239i) q^{87} +(0.489546 - 0.282640i) q^{88} +(-1.50357 + 1.09240i) q^{89} +(2.01671 + 2.22101i) q^{90} +(-21.2265 + 6.89692i) q^{91} +1.50358 q^{92} +(0.220672 + 9.64113i) q^{93} -9.49061 q^{94} +(0.901676 - 0.292972i) q^{95} +(1.28473 - 1.16166i) q^{96} +(-1.12756 + 0.819221i) q^{97} +(-12.2299 + 7.06094i) q^{98} +(-0.841761 + 1.47218i) 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
\(3\) 1.16166 + 1.28473i 0.670685 + 0.741742i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) 1.50181 + 0.862882i 0.613111 + 0.352270i
\(7\) −0.480398 4.57068i −0.181573 1.72755i −0.583700 0.811970i \(-0.698395\pi\)
0.402126 0.915584i \(-0.368271\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) −0.301087 + 2.98485i −0.100362 + 0.994951i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) 0.516409 + 0.229920i 0.155703 + 0.0693235i 0.483109 0.875560i \(-0.339508\pi\)
−0.327406 + 0.944884i \(0.606174\pi\)
\(12\) 1.69495 + 0.356565i 0.489290 + 0.102931i
\(13\) −1.00968 4.75019i −0.280036 1.31747i −0.863098 0.505037i \(-0.831479\pi\)
0.583062 0.812428i \(-0.301855\pi\)
\(14\) −1.86930 4.19852i −0.499592 1.12210i
\(15\) 1.64840 + 0.531782i 0.425614 + 0.137306i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 1.72428 0.767698i 0.418199 0.186194i −0.186839 0.982390i \(-0.559824\pi\)
0.605038 + 0.796196i \(0.293158\pi\)
\(18\) 0.636020 + 2.93180i 0.149911 + 0.691033i
\(19\) 0.927360 + 0.197116i 0.212751 + 0.0452216i 0.313054 0.949735i \(-0.398648\pi\)
−0.100303 + 0.994957i \(0.531981\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) 5.31405 5.92676i 1.15962 1.29333i
\(22\) 0.562183 + 0.0590878i 0.119858 + 0.0125976i
\(23\) 1.21642 + 0.883780i 0.253641 + 0.184281i 0.707339 0.706875i \(-0.249896\pi\)
−0.453698 + 0.891156i \(0.649896\pi\)
\(24\) 1.72218 0.184656i 0.351538 0.0376927i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −2.42816 4.20569i −0.476200 0.824803i
\(27\) −4.18450 + 3.08057i −0.805308 + 0.592856i
\(28\) −3.07523 3.41539i −0.581163 0.645447i
\(29\) 0.844119 + 2.59793i 0.156749 + 0.482424i 0.998334 0.0577011i \(-0.0183770\pi\)
−0.841585 + 0.540125i \(0.818377\pi\)
\(30\) 1.73205 0.00362720i 0.316227 0.000662233i
\(31\) 4.21421 + 3.63874i 0.756895 + 0.653537i
\(32\) 1.00000i 0.176777i
\(33\) 0.304506 + 0.930537i 0.0530076 + 0.161986i
\(34\) 1.40265 1.26296i 0.240553 0.216595i
\(35\) −2.70138 3.71812i −0.456616 0.628478i
\(36\) 1.51087 + 2.59177i 0.251811 + 0.431962i
\(37\) −3.87698 2.23838i −0.637372 0.367987i 0.146229 0.989251i \(-0.453286\pi\)
−0.783602 + 0.621264i \(0.786620\pi\)
\(38\) 0.942884 0.0991011i 0.152956 0.0160763i
\(39\) 4.92982 6.81528i 0.789403 1.09132i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) 6.77733 + 6.10233i 1.05844 + 0.953025i 0.998978 0.0452059i \(-0.0143944\pi\)
0.0594633 + 0.998230i \(0.481061\pi\)
\(42\) 3.22249 7.27882i 0.497241 1.12315i
\(43\) −2.64923 + 12.4637i −0.404004 + 1.90069i 0.0295506 + 0.999563i \(0.490592\pi\)
−0.433555 + 0.901127i \(0.642741\pi\)
\(44\) 0.552927 0.117528i 0.0833569 0.0177180i
\(45\) 1.23168 + 2.73550i 0.183608 + 0.407785i
\(46\) 1.42999 + 0.464631i 0.210840 + 0.0685061i
\(47\) −9.02610 2.93276i −1.31659 0.427787i −0.435269 0.900300i \(-0.643347\pi\)
−0.881323 + 0.472514i \(0.843347\pi\)
\(48\) 1.58083 0.707801i 0.228173 0.102162i
\(49\) −13.8133 + 2.93610i −1.97333 + 0.419443i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) 2.98932 + 1.32343i 0.418588 + 0.185318i
\(52\) −3.60894 3.24951i −0.500470 0.450625i
\(53\) 0.0116490 0.110832i 0.00160011 0.0152240i −0.993693 0.112137i \(-0.964230\pi\)
0.995293 + 0.0969134i \(0.0308970\pi\)
\(54\) −3.02775 + 4.22288i −0.412025 + 0.574661i
\(55\) 0.562183 0.0590878i 0.0758047 0.00796740i
\(56\) −3.98013 2.29793i −0.531867 0.307073i
\(57\) 0.824036 + 1.42039i 0.109146 + 0.188136i
\(58\) 1.60561 + 2.20993i 0.210827 + 0.290178i
\(59\) 2.10574 1.89601i 0.274143 0.246840i −0.520578 0.853814i \(-0.674284\pi\)
0.794722 + 0.606974i \(0.207617\pi\)
\(60\) 1.64615 0.538682i 0.212518 0.0695435i
\(61\) 4.31193i 0.552087i 0.961145 + 0.276043i \(0.0890233\pi\)
−0.961145 + 0.276043i \(0.910977\pi\)
\(62\) 5.13239 + 2.15838i 0.651814 + 0.274115i
\(63\) 13.7874 0.0577467i 1.73705 0.00727540i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −3.24951 3.60894i −0.403052 0.447634i
\(66\) 0.577154 + 0.790896i 0.0710427 + 0.0973525i
\(67\) −3.48591 6.03777i −0.425871 0.737631i 0.570630 0.821207i \(-0.306699\pi\)
−0.996501 + 0.0835763i \(0.973366\pi\)
\(68\) 0.943729 1.63459i 0.114444 0.198223i
\(69\) 0.277644 + 2.58943i 0.0334244 + 0.311731i
\(70\) −3.71812 2.70138i −0.444401 0.322876i
\(71\) 9.48638 + 0.997059i 1.12583 + 0.118329i 0.649086 0.760715i \(-0.275152\pi\)
0.476740 + 0.879044i \(0.341818\pi\)
\(72\) 2.23782 + 1.99804i 0.263730 + 0.235471i
\(73\) −3.17525 + 7.13174i −0.371635 + 0.834707i 0.626821 + 0.779163i \(0.284356\pi\)
−0.998456 + 0.0555435i \(0.982311\pi\)
\(74\) −4.37893 0.930770i −0.509040 0.108200i
\(75\) 1.69344 0.363661i 0.195542 0.0419919i
\(76\) 0.866112 0.385618i 0.0993499 0.0442334i
\(77\) 0.802808 2.47079i 0.0914885 0.281573i
\(78\) 2.58250 8.00512i 0.292411 0.906401i
\(79\) 5.71023 + 12.8254i 0.642451 + 1.44297i 0.881606 + 0.471986i \(0.156463\pi\)
−0.239155 + 0.970981i \(0.576870\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) −8.81869 1.79740i −0.979855 0.199711i
\(82\) 8.33135 + 3.70936i 0.920044 + 0.409630i
\(83\) 6.99219 7.76562i 0.767493 0.852387i −0.225042 0.974349i \(-0.572252\pi\)
0.992535 + 0.121962i \(0.0389186\pi\)
\(84\) 0.815493 7.91837i 0.0889775 0.863965i
\(85\) 1.10942 1.52699i 0.120333 0.165625i
\(86\) 1.33191 + 12.6723i 0.143624 + 1.36649i
\(87\) −2.35707 + 4.10239i −0.252705 + 0.439822i
\(88\) 0.489546 0.282640i 0.0521858 0.0301295i
\(89\) −1.50357 + 1.09240i −0.159378 + 0.115795i −0.664616 0.747185i \(-0.731405\pi\)
0.505238 + 0.862980i \(0.331405\pi\)
\(90\) 2.01671 + 2.22101i 0.212580 + 0.234115i
\(91\) −21.2265 + 6.89692i −2.22515 + 0.722993i
\(92\) 1.50358 0.156759
\(93\) 0.220672 + 9.64113i 0.0228827 + 0.999738i
\(94\) −9.49061 −0.978881
\(95\) 0.901676 0.292972i 0.0925100 0.0300583i
\(96\) 1.28473 1.16166i 0.131123 0.118562i
\(97\) −1.12756 + 0.819221i −0.114486 + 0.0831793i −0.643555 0.765400i \(-0.722541\pi\)
0.529069 + 0.848579i \(0.322541\pi\)
\(98\) −12.2299 + 7.06094i −1.23541 + 0.713263i
\(99\) −0.841761 + 1.47218i −0.0846001 + 0.147959i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 8.22058 11.3147i 0.817978 1.12585i −0.172065 0.985086i \(-0.555044\pi\)
0.990043 0.140765i \(-0.0449562\pi\)
\(102\) 3.25197 + 0.334912i 0.321993 + 0.0331612i
\(103\) −2.70848 + 3.00807i −0.266874 + 0.296394i −0.861655 0.507494i \(-0.830572\pi\)
0.594781 + 0.803888i \(0.297239\pi\)
\(104\) −4.43646 1.97524i −0.435031 0.193688i
\(105\) 1.63872 7.78975i 0.159923 0.760202i
\(106\) −0.0231703 0.109008i −0.00225050 0.0105878i
\(107\) 7.04877 + 15.8318i 0.681431 + 1.53052i 0.839658 + 0.543116i \(0.182755\pi\)
−0.158227 + 0.987403i \(0.550578\pi\)
\(108\) −1.57462 + 4.95182i −0.151518 + 0.476490i
\(109\) −0.326699 + 1.00548i −0.0312921 + 0.0963071i −0.965483 0.260467i \(-0.916123\pi\)
0.934191 + 0.356774i \(0.116123\pi\)
\(110\) 0.516409 0.229920i 0.0492376 0.0219220i
\(111\) −1.62802 7.58113i −0.154525 0.719569i
\(112\) −4.49542 0.955532i −0.424778 0.0902893i
\(113\) 3.02132 6.78599i 0.284221 0.638372i −0.713860 0.700289i \(-0.753055\pi\)
0.998081 + 0.0619167i \(0.0197213\pi\)
\(114\) 1.22263 + 1.09623i 0.114510 + 0.102672i
\(115\) 1.49534 + 0.157167i 0.139441 + 0.0146559i
\(116\) 2.20993 + 1.60561i 0.205187 + 0.149077i
\(117\) 14.4826 1.58354i 1.33892 0.146398i
\(118\) 1.41677 2.45392i 0.130425 0.225902i
\(119\) −4.33724 7.51232i −0.397594 0.688653i
\(120\) 1.39912 1.02101i 0.127722 0.0932047i
\(121\) −7.14662 7.93713i −0.649693 0.721557i
\(122\) 1.33246 + 4.10089i 0.120635 + 0.371277i
\(123\) 0.0330793 + 15.7959i 0.00298266 + 1.42427i
\(124\) 5.54817 + 0.466750i 0.498240 + 0.0419154i
\(125\) 1.00000i 0.0894427i
\(126\) 13.0948 4.31547i 1.16658 0.384453i
\(127\) 9.12726 8.21822i 0.809914 0.729249i −0.156100 0.987741i \(-0.549892\pi\)
0.966013 + 0.258492i \(0.0832255\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) −19.0900 + 11.0750i −1.68078 + 0.975098i
\(130\) −4.20569 2.42816i −0.368863 0.212963i
\(131\) −20.8565 + 2.19210i −1.82224 + 0.191525i −0.953021 0.302904i \(-0.902044\pi\)
−0.869218 + 0.494429i \(0.835377\pi\)
\(132\) 0.793306 + 0.573836i 0.0690484 + 0.0499460i
\(133\) 0.455454 4.33336i 0.0394929 0.375750i
\(134\) −5.18107 4.66506i −0.447576 0.402999i
\(135\) −2.08360 + 4.76011i −0.179328 + 0.409685i
\(136\) 0.392424 1.84621i 0.0336501 0.158311i
\(137\) 2.49684 0.530719i 0.213319 0.0453424i −0.100012 0.994986i \(-0.531888\pi\)
0.313332 + 0.949644i \(0.398555\pi\)
\(138\) 1.06423 + 2.37690i 0.0905935 + 0.202335i
\(139\) −8.76782 2.84884i −0.743677 0.241635i −0.0874187 0.996172i \(-0.527862\pi\)
−0.656258 + 0.754536i \(0.727862\pi\)
\(140\) −4.37092 1.42020i −0.369410 0.120029i
\(141\) −6.71746 15.0030i −0.565712 1.26348i
\(142\) 9.33019 1.98319i 0.782972 0.166426i
\(143\) 0.570753 2.68518i 0.0477288 0.224546i
\(144\) 2.74572 + 1.20872i 0.228810 + 0.100727i
\(145\) 2.02999 + 1.82782i 0.168582 + 0.151792i
\(146\) −0.816018 + 7.76389i −0.0675342 + 0.642545i
\(147\) −19.8185 14.3356i −1.63460 1.18238i
\(148\) −4.45223 + 0.467948i −0.365971 + 0.0384651i
\(149\) −6.19718 3.57794i −0.507693 0.293116i 0.224192 0.974545i \(-0.428026\pi\)
−0.731885 + 0.681429i \(0.761359\pi\)
\(150\) 1.49818 0.869165i 0.122326 0.0709670i
\(151\) −4.64699 6.39603i −0.378167 0.520502i 0.576931 0.816793i \(-0.304250\pi\)
−0.955098 + 0.296291i \(0.904250\pi\)
\(152\) 0.704559 0.634388i 0.0571473 0.0514557i
\(153\) 1.77231 + 5.37786i 0.143283 + 0.434774i
\(154\) 2.59794i 0.209348i
\(155\) 5.46898 + 1.04413i 0.439279 + 0.0838669i
\(156\) −0.0176148 8.41136i −0.00141031 0.673448i
\(157\) −3.14740 9.68670i −0.251190 0.773083i −0.994556 0.104199i \(-0.966772\pi\)
0.743367 0.668884i \(-0.233228\pi\)
\(158\) 9.39401 + 10.4331i 0.747347 + 0.830013i
\(159\) 0.155922 0.113784i 0.0123655 0.00902365i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) 3.45511 5.98442i 0.272301 0.471639i
\(162\) −8.94250 + 1.01570i −0.702589 + 0.0798009i
\(163\) −6.43301 4.67385i −0.503872 0.366084i 0.306622 0.951831i \(-0.400801\pi\)
−0.810494 + 0.585747i \(0.800801\pi\)
\(164\) 9.06984 + 0.953278i 0.708235 + 0.0744385i
\(165\) 0.728978 + 0.653616i 0.0567509 + 0.0508839i
\(166\) 4.25026 9.54624i 0.329884 0.740932i
\(167\) −21.1368 4.49276i −1.63561 0.347660i −0.703743 0.710454i \(-0.748489\pi\)
−0.931869 + 0.362794i \(0.881823\pi\)
\(168\) −1.67133 7.78282i −0.128946 0.600458i
\(169\) −9.66873 + 4.30480i −0.743749 + 0.331138i
\(170\) 0.583256 1.79508i 0.0447337 0.137676i
\(171\) −0.867579 + 2.70868i −0.0663455 + 0.207138i
\(172\) 5.18268 + 11.6405i 0.395176 + 0.887579i
\(173\) 1.64417 + 7.73521i 0.125004 + 0.588097i 0.995405 + 0.0957541i \(0.0305262\pi\)
−0.870401 + 0.492343i \(0.836140\pi\)
\(174\) −0.974002 + 4.62998i −0.0738389 + 0.350998i
\(175\) −4.19852 1.86930i −0.317378 0.141306i
\(176\) 0.378246 0.420085i 0.0285114 0.0316651i
\(177\) 4.88203 + 0.502787i 0.366955 + 0.0377918i
\(178\) −1.09240 + 1.50357i −0.0818792 + 0.112697i
\(179\) 1.86441 + 17.7387i 0.139353 + 1.32585i 0.811029 + 0.585006i \(0.198908\pi\)
−0.671676 + 0.740845i \(0.734425\pi\)
\(180\) 2.60434 + 1.48911i 0.194116 + 0.110991i
\(181\) 3.59547 2.07585i 0.267250 0.154297i −0.360388 0.932803i \(-0.617356\pi\)
0.627637 + 0.778506i \(0.284022\pi\)
\(182\) −18.0564 + 13.1187i −1.33843 + 0.972424i
\(183\) −5.53969 + 5.00901i −0.409506 + 0.370276i
\(184\) 1.42999 0.464631i 0.105420 0.0342530i
\(185\) −4.47675 −0.329138
\(186\) 3.18914 + 9.10106i 0.233839 + 0.667322i
\(187\) 1.06694 0.0780225
\(188\) −9.02610 + 2.93276i −0.658296 + 0.213893i
\(189\) 16.0905 + 17.6461i 1.17041 + 1.28357i
\(190\) 0.767011 0.557266i 0.0556448 0.0404283i
\(191\) −14.2033 + 8.20029i −1.02772 + 0.593352i −0.916330 0.400425i \(-0.868863\pi\)
−0.111387 + 0.993777i \(0.535529\pi\)
\(192\) 0.862882 1.50181i 0.0622732 0.108384i
\(193\) 0.106420 + 1.01252i 0.00766031 + 0.0728830i 0.997684 0.0680168i \(-0.0216671\pi\)
−0.990024 + 0.140900i \(0.955000\pi\)
\(194\) −0.819221 + 1.12756i −0.0588166 + 0.0809542i
\(195\) 0.861708 8.36712i 0.0617082 0.599182i
\(196\) −9.44938 + 10.4946i −0.674956 + 0.749614i
\(197\) 17.3968 + 7.74555i 1.23947 + 0.551847i 0.918567 0.395265i \(-0.129347\pi\)
0.320902 + 0.947112i \(0.396014\pi\)
\(198\) −0.345634 + 1.66024i −0.0245631 + 0.117988i
\(199\) 5.77308 + 27.1602i 0.409242 + 1.92533i 0.377955 + 0.925824i \(0.376627\pi\)
0.0312875 + 0.999510i \(0.490039\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) 3.70749 11.4923i 0.261506 0.810605i
\(202\) 4.32181 13.3012i 0.304082 0.935868i
\(203\) 11.4688 5.10624i 0.804952 0.358388i
\(204\) 3.19630 0.686394i 0.223786 0.0480572i
\(205\) 8.92051 + 1.89611i 0.623035 + 0.132430i
\(206\) −1.64637 + 3.69781i −0.114708 + 0.257639i
\(207\) −3.00420 + 3.36474i −0.208806 + 0.233865i
\(208\) −4.82971 0.507623i −0.334880 0.0351973i
\(209\) 0.433576 + 0.315011i 0.0299911 + 0.0217898i
\(210\) −0.848650 7.91489i −0.0585624 0.546179i
\(211\) −0.124531 + 0.215695i −0.00857310 + 0.0148490i −0.870280 0.492557i \(-0.836062\pi\)
0.861707 + 0.507406i \(0.169396\pi\)
\(212\) −0.0557215 0.0965124i −0.00382697 0.00662850i
\(213\) 9.73900 + 13.3457i 0.667306 + 0.914434i
\(214\) 11.5961 + 12.8788i 0.792692 + 0.880373i
\(215\) 3.93753 + 12.1185i 0.268537 + 0.826472i
\(216\) 0.0326446 + 5.19605i 0.00222118 + 0.353546i
\(217\) 14.6070 21.0098i 0.991588 1.42624i
\(218\) 1.05722i 0.0716039i
\(219\) −12.8510 + 4.20530i −0.868388 + 0.284168i
\(220\) 0.420085 0.378246i 0.0283221 0.0255013i
\(221\) −5.38769 7.41551i −0.362415 0.498821i
\(222\) −3.89104 6.70700i −0.261149 0.450144i
\(223\) −13.8417 7.99152i −0.926910 0.535152i −0.0410768 0.999156i \(-0.513079\pi\)
−0.885833 + 0.464004i \(0.846412\pi\)
\(224\) −4.57068 + 0.480398i −0.305391 + 0.0320979i
\(225\) 2.43442 + 1.75318i 0.162294 + 0.116878i
\(226\) 0.776457 7.38749i 0.0516491 0.491409i
\(227\) 10.5420 + 9.49207i 0.699698 + 0.630011i 0.940194 0.340639i \(-0.110644\pi\)
−0.240496 + 0.970650i \(0.577310\pi\)
\(228\) 1.50155 + 0.664767i 0.0994423 + 0.0440253i
\(229\) 5.03234 23.6753i 0.332547 1.56451i −0.420966 0.907076i \(-0.638309\pi\)
0.753513 0.657433i \(-0.228358\pi\)
\(230\) 1.47072 0.312611i 0.0969764 0.0206130i
\(231\) 4.10690 1.83883i 0.270214 0.120986i
\(232\) 2.59793 + 0.844119i 0.170563 + 0.0554191i
\(233\) −20.1250 6.53900i −1.31843 0.428384i −0.436475 0.899716i \(-0.643773\pi\)
−0.881956 + 0.471332i \(0.843773\pi\)
\(234\) 13.2844 5.98141i 0.868431 0.391017i
\(235\) −9.28321 + 1.97321i −0.605570 + 0.128718i
\(236\) 0.589128 2.77163i 0.0383489 0.180418i
\(237\) −9.84386 + 22.2349i −0.639427 + 1.44431i
\(238\) −6.44640 5.80436i −0.417858 0.376241i
\(239\) −1.38479 + 13.1754i −0.0895746 + 0.852245i 0.853819 + 0.520570i \(0.174280\pi\)
−0.943394 + 0.331675i \(0.892386\pi\)
\(240\) 1.01514 1.40339i 0.0655268 0.0905883i
\(241\) 18.1386 1.90645i 1.16841 0.122805i 0.499614 0.866248i \(-0.333475\pi\)
0.668799 + 0.743443i \(0.266809\pi\)
\(242\) −9.24955 5.34023i −0.594584 0.343283i
\(243\) −7.93515 13.4176i −0.509040 0.860743i
\(244\) 2.53449 + 3.48843i 0.162254 + 0.223324i
\(245\) −10.4946 + 9.44938i −0.670476 + 0.603699i
\(246\) 4.91267 + 15.0126i 0.313220 + 0.957168i
\(247\) 4.60416i 0.292956i
\(248\) 5.42085 1.27057i 0.344225 0.0806814i
\(249\) 18.0993 0.0379030i 1.14700 0.00240201i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) 0.111052 + 0.123336i 0.00700953 + 0.00778488i 0.746639 0.665229i \(-0.231666\pi\)
−0.739630 + 0.673014i \(0.764999\pi\)
\(252\) 11.1203 8.15077i 0.700515 0.513450i
\(253\) 0.424970 + 0.736070i 0.0267177 + 0.0462764i
\(254\) 6.14097 10.6365i 0.385319 0.667392i
\(255\) 3.25054 0.348529i 0.203557 0.0218258i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 10.0097 + 1.05206i 0.624385 + 0.0656255i 0.411437 0.911438i \(-0.365027\pi\)
0.212948 + 0.977064i \(0.431694\pi\)
\(258\) −14.7333 + 16.4321i −0.917256 + 1.02302i
\(259\) −8.36841 + 18.7958i −0.519988 + 1.16791i
\(260\) −4.75019 1.00968i −0.294594 0.0626179i
\(261\) −8.00860 + 1.73737i −0.495720 + 0.107540i
\(262\) −19.1583 + 8.52982i −1.18360 + 0.526974i
\(263\) 1.41186 4.34527i 0.0870592 0.267941i −0.898044 0.439906i \(-0.855012\pi\)
0.985103 + 0.171965i \(0.0550117\pi\)
\(264\) 0.931804 + 0.300606i 0.0573486 + 0.0185010i
\(265\) −0.0453279 0.101808i −0.00278447 0.00625403i
\(266\) −0.905919 4.26201i −0.0555454 0.261321i
\(267\) −3.15008 0.662679i −0.192782 0.0405553i
\(268\) −6.36907 2.83569i −0.389053 0.173218i
\(269\) 4.45749 4.95054i 0.271778 0.301840i −0.591770 0.806107i \(-0.701571\pi\)
0.863548 + 0.504267i \(0.168237\pi\)
\(270\) −0.510669 + 5.17100i −0.0310783 + 0.314697i
\(271\) 3.64164 5.01229i 0.221214 0.304475i −0.683957 0.729522i \(-0.739743\pi\)
0.905171 + 0.425047i \(0.139743\pi\)
\(272\) −0.197293 1.87712i −0.0119626 0.113817i
\(273\) −33.5187 19.2586i −2.02865 1.16558i
\(274\) 2.21063 1.27631i 0.133549 0.0771046i
\(275\) 0.457321 0.332263i 0.0275775 0.0200362i
\(276\) 1.74665 + 1.93170i 0.105136 + 0.116274i
\(277\) 20.4613 6.64829i 1.22940 0.399457i 0.378905 0.925436i \(-0.376301\pi\)
0.850498 + 0.525979i \(0.176301\pi\)
\(278\) −9.21903 −0.552921
\(279\) −12.1299 + 11.4832i −0.726201 + 0.687483i
\(280\) −4.59585 −0.274655
\(281\) −13.2811 + 4.31528i −0.792282 + 0.257428i −0.677075 0.735914i \(-0.736753\pi\)
−0.115206 + 0.993342i \(0.536753\pi\)
\(282\) −11.0249 12.1929i −0.656521 0.726077i
\(283\) −10.6337 + 7.72580i −0.632105 + 0.459251i −0.857129 0.515102i \(-0.827754\pi\)
0.225024 + 0.974353i \(0.427754\pi\)
\(284\) 8.26070 4.76932i 0.490182 0.283007i
\(285\) 1.42383 + 0.818080i 0.0843406 + 0.0484589i
\(286\) −0.286949 2.73013i −0.0169676 0.161436i
\(287\) 24.6360 33.9085i 1.45422 2.00156i
\(288\) 2.98485 + 0.301087i 0.175884 + 0.0177417i
\(289\) −8.99145 + 9.98601i −0.528909 + 0.587412i
\(290\) 2.49547 + 1.11105i 0.146539 + 0.0652433i
\(291\) −2.36233 0.496959i −0.138482 0.0291323i
\(292\) 1.62310 + 7.63607i 0.0949845 + 0.446867i
\(293\) −4.84034 10.8716i −0.282776 0.635125i 0.715186 0.698934i \(-0.246342\pi\)
−0.997962 + 0.0638088i \(0.979675\pi\)
\(294\) −23.2784 7.50977i −1.35763 0.437978i
\(295\) 0.875614 2.69486i 0.0509802 0.156901i
\(296\) −4.08972 + 1.82086i −0.237710 + 0.105835i
\(297\) −2.86920 + 0.628733i −0.166488 + 0.0364828i
\(298\) −6.99951 1.48779i −0.405471 0.0861855i
\(299\) 2.96992 6.67056i 0.171755 0.385768i
\(300\) 1.15627 1.28959i 0.0667573 0.0744544i
\(301\) 58.2401 + 6.12128i 3.35690 + 0.352825i
\(302\) −6.39603 4.64699i −0.368050 0.267404i
\(303\) 24.0859 2.58253i 1.38370 0.148363i
\(304\) 0.474039 0.821060i 0.0271880 0.0470910i
\(305\) 2.15597 + 3.73424i 0.123450 + 0.213822i
\(306\) 3.34742 + 4.56698i 0.191359 + 0.261077i
\(307\) 2.14205 + 2.37898i 0.122253 + 0.135776i 0.801164 0.598445i \(-0.204214\pi\)
−0.678911 + 0.734221i \(0.737548\pi\)
\(308\) −0.802808 2.47079i −0.0457443 0.140786i
\(309\) −7.01090 + 0.0146820i −0.398836 + 0.000835230i
\(310\) 5.52397 0.696978i 0.313740 0.0395857i
\(311\) 10.7395i 0.608980i 0.952516 + 0.304490i \(0.0984860\pi\)
−0.952516 + 0.304490i \(0.901514\pi\)
\(312\) −2.61601 7.99423i −0.148102 0.452584i
\(313\) −9.60134 + 8.64508i −0.542700 + 0.488649i −0.894279 0.447509i \(-0.852311\pi\)
0.351580 + 0.936158i \(0.385645\pi\)
\(314\) −5.98671 8.24000i −0.337850 0.465010i
\(315\) 11.9114 6.94373i 0.671132 0.391235i
\(316\) 12.1582 + 7.01956i 0.683954 + 0.394881i
\(317\) 29.2721 3.07662i 1.64408 0.172800i 0.763210 0.646151i \(-0.223622\pi\)
0.880874 + 0.473350i \(0.156956\pi\)
\(318\) 0.113130 0.156398i 0.00634401 0.00877035i
\(319\) −0.161406 + 1.53567i −0.00903699 + 0.0859812i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) −12.1514 + 27.4470i −0.678224 + 1.53194i
\(322\) 1.43672 6.75921i 0.0800650 0.376676i
\(323\) 1.75035 0.372049i 0.0973922 0.0207014i
\(324\) −8.19096 + 3.72937i −0.455053 + 0.207187i
\(325\) −4.61863 1.50068i −0.256195 0.0832429i
\(326\) −7.56245 2.45719i −0.418845 0.136091i
\(327\) −1.67128 + 0.748301i −0.0924221 + 0.0413811i
\(328\) 8.92051 1.89611i 0.492553 0.104695i
\(329\) −9.06858 + 42.6643i −0.499967 + 2.35216i
\(330\) 0.895278 + 0.396359i 0.0492834 + 0.0218188i
\(331\) 14.5635 + 13.1131i 0.800485 + 0.720760i 0.964035 0.265775i \(-0.0856280\pi\)
−0.163550 + 0.986535i \(0.552295\pi\)
\(332\) 1.09229 10.3924i 0.0599471 0.570358i
\(333\) 7.84853 10.8983i 0.430097 0.597222i
\(334\) −21.4906 + 2.25875i −1.17591 + 0.123593i
\(335\) −6.03777 3.48591i −0.329879 0.190456i
\(336\) −3.99455 6.88543i −0.217921 0.375631i
\(337\) −10.8198 14.8922i −0.589393 0.811229i 0.405293 0.914187i \(-0.367169\pi\)
−0.994686 + 0.102957i \(0.967169\pi\)
\(338\) −7.86526 + 7.08191i −0.427814 + 0.385205i
\(339\) 12.2279 4.00143i 0.664130 0.217328i
\(340\) 1.88746i 0.102362i
\(341\) 1.33964 + 2.84801i 0.0725454 + 0.154228i
\(342\) 0.0119126 + 2.84421i 0.000644157 + 0.153797i
\(343\) 10.1145 + 31.1292i 0.546130 + 1.68082i
\(344\) 8.52613 + 9.46923i 0.459698 + 0.510547i
\(345\) 1.53516 + 2.10369i 0.0826503 + 0.113259i
\(346\) 3.95401 + 6.84855i 0.212569 + 0.368180i
\(347\) −6.62158 + 11.4689i −0.355465 + 0.615683i −0.987197 0.159503i \(-0.949011\pi\)
0.631733 + 0.775186i \(0.282344\pi\)
\(348\) 0.504410 + 4.70435i 0.0270392 + 0.252180i
\(349\) −15.6867 11.3970i −0.839688 0.610069i 0.0825957 0.996583i \(-0.473679\pi\)
−0.922283 + 0.386514i \(0.873679\pi\)
\(350\) −4.57068 0.480398i −0.244313 0.0256783i
\(351\) 18.8583 + 16.7668i 1.00658 + 0.894945i
\(352\) 0.229920 0.516409i 0.0122548 0.0275247i
\(353\) 19.0711 + 4.05369i 1.01505 + 0.215756i 0.685261 0.728298i \(-0.259688\pi\)
0.329792 + 0.944054i \(0.393021\pi\)
\(354\) 4.79845 1.03045i 0.255035 0.0547678i
\(355\) 8.71398 3.87971i 0.462490 0.205914i
\(356\) −0.574311 + 1.76755i −0.0304384 + 0.0936798i
\(357\) 4.61294 14.2990i 0.244142 0.756782i
\(358\) 7.25471 + 16.2944i 0.383423 + 0.861183i
\(359\) 2.44588 + 11.5070i 0.129089 + 0.607315i 0.994364 + 0.106018i \(0.0338102\pi\)
−0.865275 + 0.501297i \(0.832856\pi\)
\(360\) 2.93703 + 0.611439i 0.154795 + 0.0322257i
\(361\) −16.5362 7.36240i −0.870327 0.387495i
\(362\) 2.77803 3.08531i 0.146010 0.162160i
\(363\) 1.89515 18.4018i 0.0994696 0.965842i
\(364\) −13.1187 + 18.0564i −0.687608 + 0.946411i
\(365\) 0.816018 + 7.76389i 0.0427123 + 0.406381i
\(366\) −3.72069 + 6.47571i −0.194484 + 0.338491i
\(367\) −23.6599 + 13.6600i −1.23504 + 0.713048i −0.968075 0.250659i \(-0.919353\pi\)
−0.266961 + 0.963707i \(0.586019\pi\)
\(368\) 1.21642 0.883780i 0.0634102 0.0460702i
\(369\) −20.2551 + 18.3920i −1.05444 + 0.957449i
\(370\) −4.25765 + 1.38339i −0.221344 + 0.0719192i
\(371\) −0.512176 −0.0265908
\(372\) 5.84544 + 7.67013i 0.303072 + 0.397678i
\(373\) −20.8084 −1.07742 −0.538709 0.842492i \(-0.681088\pi\)
−0.538709 + 0.842492i \(0.681088\pi\)
\(374\) 1.01472 0.329703i 0.0524700 0.0170485i
\(375\) 1.28473 1.16166i 0.0663434 0.0599879i
\(376\) −7.67806 + 5.57844i −0.395966 + 0.287686i
\(377\) 11.4884 6.63281i 0.591681 0.341607i
\(378\) 20.7560 + 11.8102i 1.06757 + 0.607452i
\(379\) −3.54880 33.7646i −0.182290 1.73437i −0.578037 0.816011i \(-0.696181\pi\)
0.395747 0.918359i \(-0.370486\pi\)
\(380\) 0.557266 0.767011i 0.0285872 0.0393468i
\(381\) 21.1610 + 2.17932i 1.08411 + 0.111650i
\(382\) −10.9741 + 12.1880i −0.561486 + 0.623593i
\(383\) 15.7351 + 7.00570i 0.804024 + 0.357974i 0.767249 0.641349i \(-0.221625\pi\)
0.0367747 + 0.999324i \(0.488292\pi\)
\(384\) 0.356565 1.69495i 0.0181959 0.0864951i
\(385\) −0.540143 2.54117i −0.0275282 0.129510i
\(386\) 0.414099 + 0.930081i 0.0210771 + 0.0473399i
\(387\) −36.4045 11.6602i −1.85055 0.592722i
\(388\) −0.430690 + 1.32553i −0.0218650 + 0.0672935i
\(389\) 30.6031 13.6254i 1.55164 0.690834i 0.561060 0.827775i \(-0.310394\pi\)
0.990579 + 0.136941i \(0.0437272\pi\)
\(390\) −1.76605 8.22389i −0.0894274 0.416433i
\(391\) 2.77592 + 0.590040i 0.140384 + 0.0298396i
\(392\) −5.74389 + 12.9010i −0.290110 + 0.651598i
\(393\) −27.0444 24.2486i −1.36421 1.22318i
\(394\) 18.9388 + 1.99055i 0.954124 + 0.100283i
\(395\) 11.3579 + 8.25199i 0.571477 + 0.415203i
\(396\) 0.184326 + 1.68579i 0.00926271 + 0.0847142i
\(397\) 18.2364 31.5864i 0.915260 1.58528i 0.108740 0.994070i \(-0.465318\pi\)
0.806520 0.591207i \(-0.201348\pi\)
\(398\) 13.8835 + 24.0469i 0.695916 + 1.20536i
\(399\) 6.09630 4.44876i 0.305197 0.222716i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −7.41431 22.8189i −0.370253 1.13952i −0.946626 0.322335i \(-0.895532\pi\)
0.576373 0.817187i \(-0.304468\pi\)
\(402\) −0.0252882 12.0755i −0.00126126 0.602272i
\(403\) 13.0297 23.6923i 0.649054 1.18020i
\(404\) 13.9857i 0.695814i
\(405\) −8.53591 + 2.85275i −0.424153 + 0.141755i
\(406\) 9.32956 8.40037i 0.463018 0.416903i
\(407\) −1.48746 2.04731i −0.0737306 0.101482i
\(408\) 2.82776 1.64051i 0.139995 0.0812174i
\(409\) −6.67674 3.85482i −0.330143 0.190608i 0.325761 0.945452i \(-0.394379\pi\)
−0.655905 + 0.754844i \(0.727713\pi\)
\(410\) 9.06984 0.953278i 0.447927 0.0470791i
\(411\) 3.58231 + 2.59126i 0.176702 + 0.127817i
\(412\) −0.423106 + 4.02558i −0.0208449 + 0.198326i
\(413\) −9.67766 8.71380i −0.476206 0.428778i
\(414\) −1.81740 + 4.12840i −0.0893205 + 0.202900i
\(415\) 2.17261 10.2213i 0.106649 0.501745i
\(416\) −4.75019 + 1.00968i −0.232897 + 0.0495038i
\(417\) −6.52524 14.5737i −0.319542 0.713678i
\(418\) 0.509699 + 0.165611i 0.0249302 + 0.00810031i
\(419\) 34.7375 + 11.2869i 1.69704 + 0.551401i 0.988092 0.153863i \(-0.0491716\pi\)
0.708945 + 0.705264i \(0.249172\pi\)
\(420\) −3.25295 7.26526i −0.158728 0.354508i
\(421\) −32.9456 + 7.00280i −1.60567 + 0.341296i −0.921606 0.388127i \(-0.873122\pi\)
−0.684063 + 0.729422i \(0.739789\pi\)
\(422\) −0.0517831 + 0.243620i −0.00252076 + 0.0118592i
\(423\) 11.4715 26.0586i 0.557763 1.26701i
\(424\) −0.0828183 0.0745699i −0.00402201 0.00362143i
\(425\) 0.197293 1.87712i 0.00957012 0.0910536i
\(426\) 13.3864 + 9.68302i 0.648573 + 0.469144i
\(427\) 19.7085 2.07144i 0.953759 0.100244i
\(428\) 15.0083 + 8.66503i 0.725453 + 0.418840i
\(429\) 4.11277 2.38601i 0.198566 0.115198i
\(430\) 7.48962 + 10.3086i 0.361182 + 0.497124i
\(431\) −7.96826 + 7.17466i −0.383818 + 0.345591i −0.838343 0.545143i \(-0.816475\pi\)
0.454526 + 0.890734i \(0.349809\pi\)
\(432\) 1.63671 + 4.93165i 0.0787465 + 0.237274i
\(433\) 3.58072i 0.172078i −0.996292 0.0860392i \(-0.972579\pi\)
0.996292 0.0860392i \(-0.0274210\pi\)
\(434\) 7.39969 24.4954i 0.355196 1.17582i
\(435\) 0.00990815 + 4.73131i 0.000475059 + 0.226849i
\(436\) 0.326699 + 1.00548i 0.0156460 + 0.0481535i
\(437\) 0.953851 + 1.05936i 0.0456289 + 0.0506760i
\(438\) −10.9225 + 7.97065i −0.521896 + 0.380852i
\(439\) 14.5806 + 25.2544i 0.695895 + 1.20533i 0.969878 + 0.243591i \(0.0783256\pi\)
−0.273983 + 0.961735i \(0.588341\pi\)
\(440\) 0.282640 0.489546i 0.0134743 0.0233382i
\(441\) −4.60485 42.1146i −0.219278 2.00546i
\(442\) −7.41551 5.38769i −0.352720 0.256266i
\(443\) −17.7222 1.86268i −0.842007 0.0884985i −0.326303 0.945265i \(-0.605803\pi\)
−0.515704 + 0.856767i \(0.672470\pi\)
\(444\) −5.77317 5.17634i −0.273983 0.245658i
\(445\) −0.755924 + 1.69783i −0.0358342 + 0.0804850i
\(446\) −15.6338 3.32306i −0.740280 0.157351i
\(447\) −2.60231 12.1181i −0.123085 0.573166i
\(448\) −4.19852 + 1.86930i −0.198362 + 0.0883162i
\(449\) −2.87099 + 8.83599i −0.135490 + 0.416996i −0.995666 0.0930018i \(-0.970354\pi\)
0.860176 + 0.509998i \(0.170354\pi\)
\(450\) 2.85703 + 0.915093i 0.134682 + 0.0431379i
\(451\) 2.09682 + 4.70954i 0.0987355 + 0.221764i
\(452\) −1.54441 7.26586i −0.0726428 0.341757i
\(453\) 2.81898 13.4002i 0.132447 0.629595i
\(454\) 12.9593 + 5.76983i 0.608208 + 0.270792i
\(455\) −14.9343 + 16.5862i −0.700129 + 0.777572i
\(456\) 1.63348 + 0.168228i 0.0764947 + 0.00787799i
\(457\) 6.37627 8.77618i 0.298269 0.410532i −0.633409 0.773817i \(-0.718345\pi\)
0.931678 + 0.363285i \(0.118345\pi\)
\(458\) −2.53003 24.0716i −0.118221 1.12479i
\(459\) −4.85030 + 8.52420i −0.226393 + 0.397876i
\(460\) 1.30214 0.751788i 0.0607124 0.0350523i
\(461\) 19.5268 14.1871i 0.909454 0.660757i −0.0314228 0.999506i \(-0.510004\pi\)
0.940877 + 0.338749i \(0.110004\pi\)
\(462\) 3.33767 3.01793i 0.155282 0.140407i
\(463\) −25.6083 + 8.32064i −1.19012 + 0.386693i −0.836117 0.548552i \(-0.815179\pi\)
−0.354002 + 0.935245i \(0.615179\pi\)
\(464\) 2.73163 0.126813
\(465\) 5.01167 + 8.23912i 0.232411 + 0.382080i
\(466\) −21.1606 −0.980248
\(467\) 19.3442 6.28531i 0.895142 0.290849i 0.174912 0.984584i \(-0.444036\pi\)
0.720230 + 0.693735i \(0.244036\pi\)
\(468\) 10.7859 9.79378i 0.498578 0.452718i
\(469\) −25.9221 + 18.8335i −1.19697 + 0.869650i
\(470\) −8.21911 + 4.74530i −0.379119 + 0.218885i
\(471\) 8.78863 15.2962i 0.404959 0.704814i
\(472\) −0.296186 2.81802i −0.0136331 0.129710i
\(473\) −4.23373 + 5.82723i −0.194667 + 0.267936i
\(474\) −2.49111 + 24.1885i −0.114421 + 1.11102i
\(475\) 0.634388 0.704559i 0.0291077 0.0323274i
\(476\) −7.92453 3.52823i −0.363220 0.161716i
\(477\) 0.327311 + 0.0681406i 0.0149866 + 0.00311994i
\(478\) 2.75441 + 12.9585i 0.125984 + 0.592706i
\(479\) −8.76637 19.6896i −0.400546 0.899640i −0.995400 0.0958067i \(-0.969457\pi\)
0.594854 0.803834i \(-0.297210\pi\)
\(480\) 0.531782 1.64840i 0.0242724 0.0752386i
\(481\) −6.71819 + 20.6765i −0.306323 + 0.942765i
\(482\) 16.6618 7.41829i 0.758922 0.337894i
\(483\) 11.7021 2.51298i 0.532462 0.114344i
\(484\) −10.4471 2.22059i −0.474867 0.100936i
\(485\) −0.566886 + 1.27325i −0.0257410 + 0.0578152i
\(486\) −11.6931 10.3088i −0.530408 0.467619i
\(487\) −6.28113 0.660174i −0.284625 0.0299153i −0.0388599 0.999245i \(-0.512373\pi\)
−0.245765 + 0.969329i \(0.579039\pi\)
\(488\) 3.48843 + 2.53449i 0.157914 + 0.114731i
\(489\) −1.46831 13.6941i −0.0663994 0.619270i
\(490\) −7.06094 + 12.2299i −0.318981 + 0.552491i
\(491\) −2.64454 4.58048i −0.119347 0.206714i 0.800162 0.599784i \(-0.204747\pi\)
−0.919509 + 0.393069i \(0.871413\pi\)
\(492\) 9.31137 + 12.7597i 0.419789 + 0.575253i
\(493\) 3.44992 + 3.83153i 0.155377 + 0.172563i
\(494\) −1.42276 4.37882i −0.0640132 0.197012i
\(495\) 0.00710271 + 1.69582i 0.000319243 + 0.0762216i
\(496\) 4.76291 2.88352i 0.213861 0.129474i
\(497\) 43.8382i 1.96641i
\(498\) 17.2018 5.62904i 0.770829 0.252243i
\(499\) 25.4800 22.9423i 1.14064 1.02704i 0.141331 0.989962i \(-0.454862\pi\)
0.999312 0.0370775i \(-0.0118048\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) −18.7818 32.3742i −0.839107 1.44637i
\(502\) 0.143729 + 0.0829822i 0.00641496 + 0.00370368i
\(503\) −12.1005 + 1.27181i −0.539534 + 0.0567073i −0.370376 0.928882i \(-0.620771\pi\)
−0.169157 + 0.985589i \(0.554105\pi\)
\(504\) 8.05734 11.1882i 0.358902 0.498363i
\(505\) 1.46190 13.9091i 0.0650538 0.618946i
\(506\) 0.631629 + 0.568721i 0.0280793 + 0.0252828i
\(507\) −16.7623 7.42104i −0.744441 0.329580i
\(508\) 2.55356 12.0136i 0.113296 0.533015i
\(509\) 11.4546 2.43475i 0.507716 0.107918i 0.0530703 0.998591i \(-0.483099\pi\)
0.454646 + 0.890672i \(0.349766\pi\)
\(510\) 2.98375 1.33594i 0.132123 0.0591566i
\(511\) 34.1223 + 11.0870i 1.50948 + 0.490460i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) −4.48777 + 2.03196i −0.198140 + 0.0897134i
\(514\) 9.84485 2.09259i 0.434238 0.0923000i
\(515\) −0.841576 + 3.95930i −0.0370843 + 0.174468i
\(516\) −8.93443 + 20.1807i −0.393316 + 0.888405i
\(517\) −3.98686 3.58978i −0.175342 0.157878i
\(518\) −2.15062 + 20.4618i −0.0944929 + 0.899040i
\(519\) −8.02773 + 11.0980i −0.352378 + 0.487149i
\(520\) −4.82971 + 0.507623i −0.211797 + 0.0222607i
\(521\) −25.8959 14.9510i −1.13452 0.655015i −0.189452 0.981890i \(-0.560671\pi\)
−0.945068 + 0.326874i \(0.894005\pi\)
\(522\) −7.07975 + 4.12713i −0.309872 + 0.180640i
\(523\) 9.18368 + 12.6403i 0.401574 + 0.552720i 0.961138 0.276068i \(-0.0890313\pi\)
−0.559564 + 0.828787i \(0.689031\pi\)
\(524\) −15.5848 + 14.0326i −0.680824 + 0.613016i
\(525\) −2.47570 7.56548i −0.108049 0.330185i
\(526\) 4.56889i 0.199213i
\(527\) 10.0599 + 3.03896i 0.438217 + 0.132379i
\(528\) 0.979091 0.00205038i 0.0426095 8.92314e-5i
\(529\) −6.40878 19.7242i −0.278643 0.857574i
\(530\) −0.0745699 0.0828183i −0.00323911 0.00359740i
\(531\) 5.02531 + 6.85618i 0.218080 + 0.297533i
\(532\) −2.17861 3.77347i −0.0944549 0.163601i
\(533\) 22.1443 38.3550i 0.959175 1.66134i
\(534\) −3.20069 + 0.343184i −0.138507 + 0.0148510i
\(535\) 14.0203 + 10.1864i 0.606151 + 0.440395i
\(536\) −6.93362 0.728753i −0.299487 0.0314773i
\(537\) −20.6237 + 23.0016i −0.889978 + 0.992593i
\(538\) 2.70952 6.08569i 0.116816 0.262373i
\(539\) −7.80837 1.65972i −0.336330 0.0714892i
\(540\) 1.11225 + 5.07572i 0.0478637 + 0.218424i
\(541\) −14.8215 + 6.59894i −0.637225 + 0.283711i −0.699810 0.714329i \(-0.746732\pi\)
0.0625854 + 0.998040i \(0.480065\pi\)
\(542\) 1.91452 5.89230i 0.0822358 0.253096i
\(543\) 6.84364 + 2.20780i 0.293689 + 0.0947457i
\(544\) −0.767698 1.72428i −0.0329148 0.0739278i
\(545\) 0.219808 + 1.03412i 0.00941555 + 0.0442967i
\(546\) −37.8295 7.95813i −1.61895 0.340577i
\(547\) 13.1188 + 5.84087i 0.560920 + 0.249738i 0.667555 0.744561i \(-0.267341\pi\)
−0.106635 + 0.994298i \(0.534008\pi\)
\(548\) 1.70803 1.89696i 0.0729636 0.0810343i
\(549\) −12.8705 1.29827i −0.549299 0.0554086i
\(550\) 0.332263 0.457321i 0.0141677 0.0195002i
\(551\) 0.270707 + 2.57561i 0.0115325 + 0.109725i
\(552\) 2.25809 + 1.29741i 0.0961105 + 0.0552214i
\(553\) 55.8775 32.2609i 2.37615 1.37187i
\(554\) 17.4055 12.6458i 0.739487 0.537269i
\(555\) −5.20047 5.75144i −0.220748 0.244135i
\(556\) −8.76782 + 2.84884i −0.371838 + 0.120818i
\(557\) −23.6826 −1.00346 −0.501732 0.865023i \(-0.667304\pi\)
−0.501732 + 0.865023i \(0.667304\pi\)
\(558\) −7.98775 + 14.6696i −0.338148 + 0.621012i
\(559\) 61.8796 2.61723
\(560\) −4.37092 + 1.42020i −0.184705 + 0.0600143i
\(561\) 1.23942 + 1.37074i 0.0523285 + 0.0578725i
\(562\) −11.2975 + 8.20815i −0.476558 + 0.346240i
\(563\) 26.1212 15.0811i 1.10088 0.635593i 0.164427 0.986389i \(-0.447422\pi\)
0.936452 + 0.350796i \(0.114089\pi\)
\(564\) −14.2531 8.18928i −0.600163 0.344831i
\(565\) −0.776457 7.38749i −0.0326658 0.310794i
\(566\) −7.72580 + 10.6337i −0.324740 + 0.446966i
\(567\) −3.97885 + 41.1709i −0.167096 + 1.72901i
\(568\) 6.38259 7.08859i 0.267808 0.297430i
\(569\) 30.5701 + 13.6107i 1.28157 + 0.570590i 0.930682 0.365830i \(-0.119215\pi\)
0.350883 + 0.936419i \(0.385881\pi\)
\(570\) 1.60695 + 0.338051i 0.0673076 + 0.0141594i
\(571\) −8.29677 39.0333i −0.347209 1.63349i −0.711842 0.702340i \(-0.752139\pi\)
0.364633 0.931151i \(-0.381194\pi\)
\(572\) −1.11656 2.50784i −0.0466858 0.104858i
\(573\) −27.0347 8.72154i −1.12939 0.364348i
\(574\) 12.9519 39.8619i 0.540602 1.66380i
\(575\) 1.37359 0.611560i 0.0572825 0.0255038i
\(576\) 2.93180 0.636020i 0.122159 0.0265008i
\(577\) 29.4890 + 6.26808i 1.22764 + 0.260944i 0.775699 0.631102i \(-0.217397\pi\)
0.451944 + 0.892046i \(0.350731\pi\)
\(578\) −5.46553 + 12.2758i −0.227336 + 0.510605i
\(579\) −1.17720 + 1.31293i −0.0489227 + 0.0545635i
\(580\) 2.71666 + 0.285533i 0.112803 + 0.0118561i
\(581\) −38.8532 28.2285i −1.61190 1.17111i
\(582\) −2.40027 + 0.257362i −0.0994946 + 0.0106680i
\(583\) 0.0314982 0.0545565i 0.00130452 0.00225950i
\(584\) 3.90333 + 6.76077i 0.161521 + 0.279763i
\(585\) 11.7505 8.61269i 0.485825 0.356091i
\(586\) −7.96295 8.84375i −0.328946 0.365332i
\(587\) −0.684066 2.10534i −0.0282344 0.0868966i 0.935946 0.352143i \(-0.114547\pi\)
−0.964181 + 0.265246i \(0.914547\pi\)
\(588\) −24.4598 + 0.0512229i −1.00870 + 0.00211239i
\(589\) 3.19084 + 4.20511i 0.131476 + 0.173269i
\(590\) 2.83355i 0.116655i
\(591\) 10.2582 + 31.3480i 0.421966 + 1.28948i
\(592\) −3.32688 + 2.99553i −0.136734 + 0.123116i
\(593\) 26.9270 + 37.0619i 1.10576 + 1.52195i 0.827520 + 0.561437i \(0.189751\pi\)
0.278240 + 0.960511i \(0.410249\pi\)
\(594\) −2.53448 + 1.48459i −0.103991 + 0.0609135i
\(595\) −7.51232 4.33724i −0.307975 0.177810i
\(596\) −7.11668 + 0.747994i −0.291511 + 0.0306390i
\(597\) −28.1873 + 38.9678i −1.15363 + 1.59485i
\(598\) 0.763249 7.26183i 0.0312116 0.296958i
\(599\) −20.4922 18.4512i −0.837287 0.753897i 0.134209 0.990953i \(-0.457151\pi\)
−0.971496 + 0.237056i \(0.923817\pi\)
\(600\) 0.701173 1.58378i 0.0286253 0.0646575i
\(601\) 1.36595 6.42627i 0.0557181 0.262133i −0.941468 0.337103i \(-0.890553\pi\)
0.997186 + 0.0749702i \(0.0238862\pi\)
\(602\) 57.2812 12.1755i 2.33461 0.496236i
\(603\) 19.0714 8.58703i 0.776648 0.349691i
\(604\) −7.51899 2.44307i −0.305943 0.0994070i
\(605\) −10.1577 3.30044i −0.412970 0.134182i
\(606\) 22.1090 9.89908i 0.898115 0.402123i
\(607\) 33.9229 7.21053i 1.37689 0.292666i 0.540748 0.841185i \(-0.318141\pi\)
0.836139 + 0.548518i \(0.184808\pi\)
\(608\) 0.197116 0.927360i 0.00799413 0.0376094i
\(609\) 19.8830 + 8.80264i 0.805700 + 0.356701i
\(610\) 3.20439 + 2.88525i 0.129742 + 0.116820i
\(611\) −4.81765 + 45.8368i −0.194901 + 1.85436i
\(612\) 4.59486 + 3.30904i 0.185736 + 0.133760i
\(613\) −8.70831 + 0.915280i −0.351725 + 0.0369678i −0.278744 0.960365i \(-0.589918\pi\)
−0.0729815 + 0.997333i \(0.523251\pi\)
\(614\) 2.77235 + 1.60062i 0.111883 + 0.0645957i
\(615\) 7.92661 + 13.6631i 0.319632 + 0.550950i
\(616\) −1.52703 2.10178i −0.0615259 0.0846831i
\(617\) −7.52209 + 6.77292i −0.302828 + 0.272667i −0.806508 0.591223i \(-0.798646\pi\)
0.503681 + 0.863890i \(0.331979\pi\)
\(618\) −6.66323 + 2.18045i −0.268034 + 0.0877106i
\(619\) 38.2325i 1.53669i 0.640034 + 0.768347i \(0.278920\pi\)
−0.640034 + 0.768347i \(0.721080\pi\)
\(620\) 5.03823 2.36987i 0.202340 0.0951761i
\(621\) −7.81266 + 0.0490836i −0.313511 + 0.00196966i
\(622\) 3.31868 + 10.2139i 0.133067 + 0.409538i
\(623\) 5.71534 + 6.34752i 0.228980 + 0.254308i
\(624\) −4.95832 6.79458i −0.198492 0.272001i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −6.45994 + 11.1889i −0.258191 + 0.447200i
\(627\) 0.0989623 + 0.922966i 0.00395217 + 0.0368597i
\(628\) −8.24000 5.98671i −0.328812 0.238896i
\(629\) −8.40340 0.883232i −0.335065 0.0352168i
\(630\) 9.18269 10.2847i 0.365847 0.409753i
\(631\) −16.1501 + 36.2738i −0.642926 + 1.44404i 0.238229 + 0.971209i \(0.423433\pi\)
−0.881155 + 0.472827i \(0.843234\pi\)
\(632\) 13.7323 + 2.91890i 0.546243 + 0.116108i
\(633\) −0.421774 + 0.0905744i −0.0167640 + 0.00360001i
\(634\) 26.8887 11.9716i 1.06789 0.475453i
\(635\) 3.79533 11.6808i 0.150613 0.463539i
\(636\) 0.0592634 0.183702i 0.00234995 0.00728426i
\(637\) 27.8941 + 62.6512i 1.10520 + 2.48233i
\(638\) 0.321043 + 1.51039i 0.0127102 + 0.0597969i
\(639\) −5.83229 + 28.0152i −0.230722 + 1.10827i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) 10.0008 11.1070i 0.395006 0.438699i −0.512532 0.858668i \(-0.671292\pi\)
0.907538 + 0.419969i \(0.137959\pi\)
\(642\) −3.07506 + 29.8586i −0.121363 + 1.17843i
\(643\) 4.57814 6.30126i 0.180544 0.248498i −0.709147 0.705061i \(-0.750920\pi\)
0.889691 + 0.456563i \(0.150920\pi\)
\(644\) −0.722315 6.87236i −0.0284632 0.270809i
\(645\) −10.9949 + 19.1362i −0.432925 + 0.753488i
\(646\) 1.54972 0.894728i 0.0609727 0.0352026i
\(647\) 34.5060 25.0700i 1.35657 0.985605i 0.357914 0.933754i \(-0.383488\pi\)
0.998655 0.0518506i \(-0.0165120\pi\)
\(648\) −6.63762 + 6.07799i −0.260750 + 0.238766i
\(649\) 1.52335 0.494967i 0.0597968 0.0194291i
\(650\) −4.85631 −0.190480
\(651\) 43.9605 5.64020i 1.72295 0.221057i
\(652\) −7.95163 −0.311410
\(653\) 10.5038 3.41290i 0.411047 0.133557i −0.0961918 0.995363i \(-0.530666\pi\)
0.507239 + 0.861806i \(0.330666\pi\)
\(654\) −1.35825 + 1.22813i −0.0531116 + 0.0480237i
\(655\) −16.9662 + 12.3267i −0.662924 + 0.481642i
\(656\) 7.89798 4.55990i 0.308364 0.178034i
\(657\) −20.3312 11.6249i −0.793194 0.453532i
\(658\) 4.55927 + 43.3785i 0.177739 + 1.69107i
\(659\) −21.4601 + 29.5373i −0.835966 + 1.15061i 0.150818 + 0.988562i \(0.451809\pi\)
−0.986783 + 0.162046i \(0.948191\pi\)
\(660\) 0.973941 + 0.100304i 0.0379106 + 0.00390432i
\(661\) 4.92255 5.46704i 0.191465 0.212643i −0.639767 0.768569i \(-0.720969\pi\)
0.831232 + 0.555925i \(0.187636\pi\)
\(662\) 17.9029 + 7.97089i 0.695816 + 0.309797i
\(663\) 3.26830 15.5361i 0.126930 0.603371i
\(664\) −2.17261 10.2213i −0.0843135 0.396664i
\(665\) −1.77224 3.98053i −0.0687247 0.154358i
\(666\) 4.09665 12.7902i 0.158742 0.495611i
\(667\) −1.26920 + 3.90619i −0.0491435 + 0.151248i
\(668\) −19.7408 + 8.78916i −0.763794 + 0.340063i
\(669\) −5.81240 27.0664i −0.224720 1.04645i
\(670\) −6.81947 1.44952i −0.263459 0.0559999i
\(671\) −0.991399 + 2.22672i −0.0382726 + 0.0859616i
\(672\) −5.92676 5.31405i −0.228630 0.204994i
\(673\) 2.26597 + 0.238163i 0.0873466 + 0.00918050i 0.148101 0.988972i \(-0.452684\pi\)
−0.0607543 + 0.998153i \(0.519351\pi\)
\(674\) −14.8922 10.8198i −0.573626 0.416764i
\(675\) 0.575601 + 5.16417i 0.0221549 + 0.198769i
\(676\) −5.29187 + 9.16579i −0.203534 + 0.352531i
\(677\) −0.445412 0.771476i −0.0171186 0.0296502i 0.857339 0.514752i \(-0.172116\pi\)
−0.874458 + 0.485102i \(0.838783\pi\)
\(678\) 10.3929 7.58422i 0.399139 0.291270i
\(679\) 4.28607 + 4.76017i 0.164484 + 0.182678i
\(680\) −0.583256 1.79508i −0.0223669 0.0688381i
\(681\) 0.0514542 + 24.5703i 0.00197173 + 0.941534i
\(682\) 2.15415 + 2.29465i 0.0824868 + 0.0878665i
\(683\) 6.63621i 0.253928i 0.991907 + 0.126964i \(0.0405232\pi\)
−0.991907 + 0.126964i \(0.959477\pi\)
\(684\) 0.890238 + 2.70132i 0.0340391 + 0.103288i
\(685\) 1.89696 1.70803i 0.0724793 0.0652607i
\(686\) 19.2389 + 26.4800i 0.734544 + 1.01101i
\(687\) 36.2624 21.0375i 1.38350 0.802630i
\(688\) 11.0350 + 6.37105i 0.420705 + 0.242894i
\(689\) −0.538237 + 0.0565710i −0.0205052 + 0.00215518i
\(690\) 2.11010 + 1.52634i 0.0803301 + 0.0581066i
\(691\) 4.77691 45.4493i 0.181722 1.72897i −0.400807 0.916162i \(-0.631270\pi\)
0.582530 0.812809i \(-0.302063\pi\)
\(692\) 5.87681 + 5.29150i 0.223403 + 0.201153i
\(693\) 7.13323 + 3.14019i 0.270969 + 0.119286i
\(694\) −2.75341 + 12.9538i −0.104518 + 0.491718i
\(695\) −9.01758 + 1.91674i −0.342056 + 0.0727063i
\(696\) 1.93345 + 4.31823i 0.0732871 + 0.163682i
\(697\) 16.3708 + 5.31918i 0.620086 + 0.201478i
\(698\) −18.4408 5.99177i −0.697994 0.226792i
\(699\) −14.9775 33.4513i −0.566502 1.26525i
\(700\) −4.49542 + 0.955532i −0.169911 + 0.0361157i
\(701\) −9.01448 + 42.4098i −0.340472 + 1.60180i 0.391310 + 0.920259i \(0.372022\pi\)
−0.731783 + 0.681538i \(0.761311\pi\)
\(702\) 23.1165 + 10.1186i 0.872478 + 0.381903i
\(703\) −3.15414 2.84000i −0.118961 0.107113i
\(704\) 0.0590878 0.562183i 0.00222696 0.0211881i
\(705\) −13.3190 9.63427i −0.501623 0.362848i
\(706\) 19.3904 2.03801i 0.729766 0.0767015i
\(707\) −55.6648 32.1381i −2.09349 1.20868i
\(708\) 4.24517 2.46282i 0.159543 0.0925584i
\(709\) −16.7918 23.1119i −0.630628 0.867984i 0.367445 0.930045i \(-0.380233\pi\)
−0.998072 + 0.0620609i \(0.980233\pi\)
\(710\) 7.08859 6.38259i 0.266030 0.239534i
\(711\) −40.0011 + 13.1826i −1.50016 + 0.494387i
\(712\) 1.85851i 0.0696506i
\(713\) 1.91040 + 8.15067i 0.0715451 + 0.305245i
\(714\) −0.0314641 15.0246i −0.00117751 0.562282i
\(715\) −0.848305 2.61081i −0.0317248 0.0976389i
\(716\) 11.9349 + 13.2550i 0.446027 + 0.495363i
\(717\) −18.5355 + 13.5262i −0.692222 + 0.505147i
\(718\) 5.88202 + 10.1880i 0.219515 + 0.380211i
\(719\) 2.29211 3.97006i 0.0854814 0.148058i −0.820115 0.572199i \(-0.806091\pi\)
0.905596 + 0.424141i \(0.139424\pi\)
\(720\) 2.98223 0.326079i 0.111141 0.0121522i
\(721\) 15.0501 + 10.9345i 0.560494 + 0.407222i
\(722\) −18.0020 1.89209i −0.669965 0.0704161i
\(723\) 23.5202 + 21.0887i 0.874727 + 0.784297i
\(724\) 1.68865 3.79276i 0.0627581 0.140957i
\(725\) 2.67193 + 0.567937i 0.0992331 + 0.0210927i
\(726\) −3.88406 18.0868i −0.144151 0.671262i
\(727\) −30.5255 + 13.5908i −1.13213 + 0.504055i −0.885307 0.465006i \(-0.846052\pi\)
−0.246819 + 0.969062i \(0.579385\pi\)
\(728\) −6.89692 + 21.2265i −0.255617 + 0.786708i
\(729\) 8.02016 25.7813i 0.297043 0.954864i
\(730\) 3.17525 + 7.13174i 0.117521 + 0.263958i
\(731\) 5.00031 + 23.5246i 0.184943 + 0.870090i
\(732\) −1.53748 + 7.30852i −0.0568271 + 0.270131i
\(733\) −25.6819 11.4343i −0.948583 0.422337i −0.126667 0.991945i \(-0.540428\pi\)
−0.821916 + 0.569609i \(0.807095\pi\)
\(734\) −18.2807 + 20.3028i −0.674753 + 0.749389i
\(735\) −24.3311 2.50580i −0.897467 0.0924278i
\(736\) 0.883780 1.21642i 0.0325766 0.0448378i
\(737\) −0.411949 3.91944i −0.0151743 0.144374i
\(738\) −13.5803 + 23.7510i −0.499899 + 0.874287i
\(739\) 4.62354 2.66940i 0.170080 0.0981956i −0.412544 0.910938i \(-0.635360\pi\)
0.582623 + 0.812742i \(0.302026\pi\)
\(740\) −3.62177 + 2.63137i −0.133139 + 0.0967311i
\(741\) 5.91512 5.34847i 0.217298 0.196481i
\(742\) −0.487108 + 0.158271i −0.0178823 + 0.00581031i
\(743\) −51.7169 −1.89731 −0.948655 0.316314i \(-0.897555\pi\)
−0.948655 + 0.316314i \(0.897555\pi\)
\(744\) 7.92954 + 5.48838i 0.290711 + 0.201214i
\(745\) −7.15588 −0.262171
\(746\) −19.7900 + 6.43015i −0.724562 + 0.235424i
\(747\) 21.0740 + 23.2088i 0.771056 + 0.849165i
\(748\) 0.863173 0.627132i 0.0315607 0.0229302i
\(749\) 68.9759 39.8232i 2.52032 1.45511i
\(750\) 0.862882 1.50181i 0.0315080 0.0548384i
\(751\) −4.04236 38.4605i −0.147508 1.40344i −0.778495 0.627650i \(-0.784017\pi\)
0.630987 0.775793i \(-0.282650\pi\)
\(752\) −5.57844 + 7.67806i −0.203425 + 0.279990i
\(753\) −0.0294489 + 0.285946i −0.00107318 + 0.0104205i
\(754\) 8.87644 9.85828i 0.323261 0.359017i
\(755\) −7.22243 3.21563i −0.262851 0.117029i
\(756\) 23.3896 + 4.81824i 0.850673 + 0.175238i
\(757\) 9.59651 + 45.1480i 0.348791 + 1.64093i 0.706944 + 0.707269i \(0.250073\pi\)
−0.358153 + 0.933663i \(0.616593\pi\)
\(758\) −13.8089 31.0154i −0.501563 1.12653i
\(759\) −0.451984 + 1.40104i −0.0164060 + 0.0508545i
\(760\) 0.292972 0.901676i 0.0106272 0.0327072i
\(761\) −5.25115 + 2.33796i −0.190354 + 0.0847510i −0.499700 0.866198i \(-0.666556\pi\)
0.309346 + 0.950949i \(0.399890\pi\)
\(762\) 20.7988 4.46646i 0.753460 0.161803i
\(763\) 4.75265 + 1.01021i 0.172057 + 0.0365720i
\(764\) −6.67072 + 14.9827i −0.241338 + 0.542054i
\(765\) 4.22379 + 3.77121i 0.152712 + 0.136348i
\(766\) 17.1298 + 1.80042i 0.618925 + 0.0650517i
\(767\) −11.1325 8.08827i −0.401973 0.292050i
\(768\) −0.184656 1.72218i −0.00666318 0.0621438i
\(769\) 7.04604 12.2041i 0.254087 0.440091i −0.710560 0.703636i \(-0.751558\pi\)
0.964647 + 0.263545i \(0.0848918\pi\)
\(770\) −1.29897 2.24988i −0.0468117 0.0810802i
\(771\) 10.2762 + 14.0819i 0.370089 + 0.507146i
\(772\) 0.681242 + 0.756596i 0.0245184 + 0.0272305i
\(773\) −0.742095 2.28393i −0.0266913 0.0821473i 0.936824