Properties

Label 91.2.bc.a.20.7
Level $91$
Weight $2$
Character 91.20
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bc (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 20.7
Character \(\chi\) \(=\) 91.20
Dual form 91.2.bc.a.41.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.61897 - 0.433802i) q^{2} +(-0.552306 - 0.318874i) q^{3} +(0.700831 - 0.404625i) q^{4} +(1.42145 - 1.42145i) q^{5} +(-1.03250 - 0.276656i) q^{6} +(-1.11484 + 2.39940i) q^{7} +(-1.41124 + 1.41124i) q^{8} +(-1.29664 - 2.24584i) q^{9} +O(q^{10})\) \(q+(1.61897 - 0.433802i) q^{2} +(-0.552306 - 0.318874i) q^{3} +(0.700831 - 0.404625i) q^{4} +(1.42145 - 1.42145i) q^{5} +(-1.03250 - 0.276656i) q^{6} +(-1.11484 + 2.39940i) q^{7} +(-1.41124 + 1.41124i) q^{8} +(-1.29664 - 2.24584i) q^{9} +(1.68466 - 2.91792i) q^{10} +(0.254101 + 0.948318i) q^{11} -0.516098 q^{12} +(1.60977 + 3.22624i) q^{13} +(-0.764036 + 4.36818i) q^{14} +(-1.23834 + 0.331813i) q^{15} +(-2.48181 + 4.29862i) q^{16} +(-2.99281 - 5.18370i) q^{17} +(-3.07347 - 3.07347i) q^{18} +(-2.71200 - 0.726678i) q^{19} +(0.421043 - 1.57135i) q^{20} +(1.38084 - 0.969709i) q^{21} +(0.822765 + 1.42507i) q^{22} +(2.58851 + 1.49448i) q^{23} +(1.22944 - 0.329429i) q^{24} +0.958941i q^{25} +(4.00573 + 4.52487i) q^{26} +3.56710i q^{27} +(0.189540 + 2.13267i) q^{28} +(3.65708 - 6.33425i) q^{29} +(-1.86090 + 1.07439i) q^{30} +(6.11048 - 6.11048i) q^{31} +(-1.12013 + 4.18037i) q^{32} +(0.162053 - 0.604789i) q^{33} +(-7.09397 - 7.09397i) q^{34} +(1.82594 + 4.99533i) q^{35} +(-1.81745 - 1.04931i) q^{36} +(-1.24143 - 4.63309i) q^{37} -4.70588 q^{38} +(0.139676 - 2.29519i) q^{39} +4.01202i q^{40} +(0.886060 + 3.30682i) q^{41} +(1.81488 - 2.16894i) q^{42} +(-0.748633 + 0.432224i) q^{43} +(0.561795 + 0.561795i) q^{44} +(-5.03547 - 1.34925i) q^{45} +(4.83903 + 1.29661i) q^{46} +(2.17001 + 2.17001i) q^{47} +(2.74144 - 1.58277i) q^{48} +(-4.51424 - 5.34992i) q^{49} +(0.415990 + 1.55250i) q^{50} +3.81732i q^{51} +(2.43360 + 1.60970i) q^{52} +6.32446 q^{53} +(1.54742 + 5.77504i) q^{54} +(1.70918 + 0.986797i) q^{55} +(-1.81282 - 4.95944i) q^{56} +(1.26614 + 1.26614i) q^{57} +(3.17290 - 11.8414i) q^{58} +(0.131692 - 0.491481i) q^{59} +(-0.733609 + 0.733609i) q^{60} +(-11.2829 + 6.51419i) q^{61} +(7.24196 - 12.5434i) q^{62} +(6.83423 - 0.607388i) q^{63} -2.67342i q^{64} +(6.87417 + 2.29773i) q^{65} -1.04943i q^{66} +(-0.827827 + 0.221815i) q^{67} +(-4.19491 - 2.42193i) q^{68} +(-0.953100 - 1.65082i) q^{69} +(5.12312 + 7.29521i) q^{70} +(-3.01121 + 11.2380i) q^{71} +(4.99929 + 1.33956i) q^{72} +(1.03002 + 1.03002i) q^{73} +(-4.01968 - 6.96230i) q^{74} +(0.305782 - 0.529629i) q^{75} +(-2.19469 + 0.588064i) q^{76} +(-2.55868 - 0.447537i) q^{77} +(-0.769526 - 3.77644i) q^{78} -11.6027 q^{79} +(2.58251 + 9.63806i) q^{80} +(-2.75246 + 4.76740i) q^{81} +(2.86901 + 4.96927i) q^{82} +(1.23779 - 1.23779i) q^{83} +(0.575369 - 1.23833i) q^{84} +(-11.6225 - 3.11424i) q^{85} +(-1.02452 + 1.02452i) q^{86} +(-4.03966 + 2.33230i) q^{87} +(-1.69690 - 0.979707i) q^{88} +(7.75255 - 2.07729i) q^{89} -8.73759 q^{90} +(-9.53569 + 0.265737i) q^{91} +2.41881 q^{92} +(-5.32334 + 1.42638i) q^{93} +(4.45454 + 2.57183i) q^{94} +(-4.88792 + 2.82204i) q^{95} +(1.95167 - 1.95167i) q^{96} +(12.0756 + 3.23566i) q^{97} +(-9.62923 - 6.70307i) q^{98} +(1.80030 - 1.80030i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} - 4q^{11} - 32q^{14} - 8q^{15} + 12q^{16} - 4q^{18} + 16q^{21} + 4q^{22} - 12q^{23} + 24q^{28} + 4q^{29} + 12q^{30} + 4q^{32} - 20q^{35} + 4q^{37} - 36q^{39} - 28q^{42} - 48q^{43} + 24q^{44} + 84q^{46} + 24q^{49} - 44q^{50} + 72q^{53} + 60q^{56} - 92q^{57} - 16q^{58} + 76q^{60} + 48q^{63} + 4q^{65} - 56q^{67} + 56q^{70} + 84q^{71} - 128q^{72} - 24q^{74} + 148q^{78} - 80q^{79} + 28q^{81} - 64q^{84} + 36q^{85} - 48q^{86} - 228q^{88} - 48q^{91} + 24q^{92} + 108q^{93} - 84q^{95} - 32q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.61897 0.433802i 1.14479 0.306744i 0.363912 0.931433i \(-0.381441\pi\)
0.780873 + 0.624689i \(0.214774\pi\)
\(3\) −0.552306 0.318874i −0.318874 0.184102i 0.332016 0.943274i \(-0.392271\pi\)
−0.650891 + 0.759171i \(0.725604\pi\)
\(4\) 0.700831 0.404625i 0.350416 0.202313i
\(5\) 1.42145 1.42145i 0.635693 0.635693i −0.313797 0.949490i \(-0.601601\pi\)
0.949490 + 0.313797i \(0.101601\pi\)
\(6\) −1.03250 0.276656i −0.421515 0.112945i
\(7\) −1.11484 + 2.39940i −0.421372 + 0.906888i
\(8\) −1.41124 + 1.41124i −0.498948 + 0.498948i
\(9\) −1.29664 2.24584i −0.432213 0.748615i
\(10\) 1.68466 2.91792i 0.532737 0.922727i
\(11\) 0.254101 + 0.948318i 0.0766144 + 0.285929i 0.993595 0.113004i \(-0.0360473\pi\)
−0.916980 + 0.398933i \(0.869381\pi\)
\(12\) −0.516098 −0.148985
\(13\) 1.60977 + 3.22624i 0.446471 + 0.894798i
\(14\) −0.764036 + 4.36818i −0.204197 + 1.16745i
\(15\) −1.23834 + 0.331813i −0.319739 + 0.0856737i
\(16\) −2.48181 + 4.29862i −0.620452 + 1.07465i
\(17\) −2.99281 5.18370i −0.725863 1.25723i −0.958618 0.284696i \(-0.908107\pi\)
0.232755 0.972535i \(-0.425226\pi\)
\(18\) −3.07347 3.07347i −0.724424 0.724424i
\(19\) −2.71200 0.726678i −0.622175 0.166711i −0.0660587 0.997816i \(-0.521042\pi\)
−0.556116 + 0.831104i \(0.687709\pi\)
\(20\) 0.421043 1.57135i 0.0941481 0.351366i
\(21\) 1.38084 0.969709i 0.301325 0.211608i
\(22\) 0.822765 + 1.42507i 0.175414 + 0.303826i
\(23\) 2.58851 + 1.49448i 0.539742 + 0.311620i 0.744974 0.667093i \(-0.232462\pi\)
−0.205233 + 0.978713i \(0.565795\pi\)
\(24\) 1.22944 0.329429i 0.250959 0.0672443i
\(25\) 0.958941i 0.191788i
\(26\) 4.00573 + 4.52487i 0.785588 + 0.887399i
\(27\) 3.56710i 0.686489i
\(28\) 0.189540 + 2.13267i 0.0358196 + 0.403037i
\(29\) 3.65708 6.33425i 0.679103 1.17624i −0.296148 0.955142i \(-0.595702\pi\)
0.975251 0.221099i \(-0.0709645\pi\)
\(30\) −1.86090 + 1.07439i −0.339752 + 0.196156i
\(31\) 6.11048 6.11048i 1.09748 1.09748i 0.102770 0.994705i \(-0.467229\pi\)
0.994705 0.102770i \(-0.0327707\pi\)
\(32\) −1.12013 + 4.18037i −0.198012 + 0.738992i
\(33\) 0.162053 0.604789i 0.0282097 0.105280i
\(34\) −7.09397 7.09397i −1.21661 1.21661i
\(35\) 1.82594 + 4.99533i 0.308639 + 0.844366i
\(36\) −1.81745 1.04931i −0.302908 0.174884i
\(37\) −1.24143 4.63309i −0.204090 0.761675i −0.989725 0.142984i \(-0.954330\pi\)
0.785635 0.618690i \(-0.212336\pi\)
\(38\) −4.70588 −0.763395
\(39\) 0.139676 2.29519i 0.0223661 0.367524i
\(40\) 4.01202i 0.634356i
\(41\) 0.886060 + 3.30682i 0.138379 + 0.516439i 0.999961 + 0.00881984i \(0.00280748\pi\)
−0.861582 + 0.507619i \(0.830526\pi\)
\(42\) 1.81488 2.16894i 0.280042 0.334675i
\(43\) −0.748633 + 0.432224i −0.114165 + 0.0659135i −0.555995 0.831185i \(-0.687663\pi\)
0.441830 + 0.897099i \(0.354329\pi\)
\(44\) 0.561795 + 0.561795i 0.0846939 + 0.0846939i
\(45\) −5.03547 1.34925i −0.750644 0.201134i
\(46\) 4.83903 + 1.29661i 0.713476 + 0.191175i
\(47\) 2.17001 + 2.17001i 0.316529 + 0.316529i 0.847432 0.530903i \(-0.178147\pi\)
−0.530903 + 0.847432i \(0.678147\pi\)
\(48\) 2.74144 1.58277i 0.395692 0.228453i
\(49\) −4.51424 5.34992i −0.644892 0.764274i
\(50\) 0.415990 + 1.55250i 0.0588299 + 0.219556i
\(51\) 3.81732i 0.534531i
\(52\) 2.43360 + 1.60970i 0.337479 + 0.223225i
\(53\) 6.32446 0.868732 0.434366 0.900737i \(-0.356972\pi\)
0.434366 + 0.900737i \(0.356972\pi\)
\(54\) 1.54742 + 5.77504i 0.210577 + 0.785883i
\(55\) 1.70918 + 0.986797i 0.230466 + 0.133060i
\(56\) −1.81282 4.95944i −0.242248 0.662733i
\(57\) 1.26614 + 1.26614i 0.167704 + 0.167704i
\(58\) 3.17290 11.8414i 0.416622 1.55485i
\(59\) 0.131692 0.491481i 0.0171448 0.0639854i −0.956823 0.290670i \(-0.906122\pi\)
0.973968 + 0.226684i \(0.0727886\pi\)
\(60\) −0.733609 + 0.733609i −0.0947086 + 0.0947086i
\(61\) −11.2829 + 6.51419i −1.44463 + 0.834057i −0.998154 0.0607392i \(-0.980654\pi\)
−0.446475 + 0.894796i \(0.647321\pi\)
\(62\) 7.24196 12.5434i 0.919729 1.59302i
\(63\) 6.83423 0.607388i 0.861032 0.0765237i
\(64\) 2.67342i 0.334178i
\(65\) 6.87417 + 2.29773i 0.852636 + 0.284998i
\(66\) 1.04943i 0.129176i
\(67\) −0.827827 + 0.221815i −0.101135 + 0.0270991i −0.309032 0.951052i \(-0.600005\pi\)
0.207897 + 0.978151i \(0.433338\pi\)
\(68\) −4.19491 2.42193i −0.508707 0.293702i
\(69\) −0.953100 1.65082i −0.114740 0.198735i
\(70\) 5.12312 + 7.29521i 0.612330 + 0.871944i
\(71\) −3.01121 + 11.2380i −0.357365 + 1.33370i 0.520117 + 0.854095i \(0.325888\pi\)
−0.877482 + 0.479609i \(0.840778\pi\)
\(72\) 4.99929 + 1.33956i 0.589172 + 0.157868i
\(73\) 1.03002 + 1.03002i 0.120555 + 0.120555i 0.764810 0.644255i \(-0.222833\pi\)
−0.644255 + 0.764810i \(0.722833\pi\)
\(74\) −4.01968 6.96230i −0.467279 0.809350i
\(75\) 0.305782 0.529629i 0.0353086 0.0611563i
\(76\) −2.19469 + 0.588064i −0.251748 + 0.0674556i
\(77\) −2.55868 0.447537i −0.291588 0.0510016i
\(78\) −0.769526 3.77644i −0.0871316 0.427597i
\(79\) −11.6027 −1.30541 −0.652705 0.757612i \(-0.726366\pi\)
−0.652705 + 0.757612i \(0.726366\pi\)
\(80\) 2.58251 + 9.63806i 0.288733 + 1.07757i
\(81\) −2.75246 + 4.76740i −0.305829 + 0.529711i
\(82\) 2.86901 + 4.96927i 0.316829 + 0.548764i
\(83\) 1.23779 1.23779i 0.135865 0.135865i −0.635904 0.771768i \(-0.719372\pi\)
0.771768 + 0.635904i \(0.219372\pi\)
\(84\) 0.575369 1.23833i 0.0627779 0.135112i
\(85\) −11.6225 3.11424i −1.26064 0.337787i
\(86\) −1.02452 + 1.02452i −0.110476 + 0.110476i
\(87\) −4.03966 + 2.33230i −0.433097 + 0.250049i
\(88\) −1.69690 0.979707i −0.180890 0.104437i
\(89\) 7.75255 2.07729i 0.821769 0.220192i 0.176649 0.984274i \(-0.443474\pi\)
0.645120 + 0.764082i \(0.276807\pi\)
\(90\) −8.73759 −0.921023
\(91\) −9.53569 + 0.265737i −0.999612 + 0.0278568i
\(92\) 2.41881 0.252179
\(93\) −5.32334 + 1.42638i −0.552004 + 0.147909i
\(94\) 4.45454 + 2.57183i 0.459451 + 0.265264i
\(95\) −4.88792 + 2.82204i −0.501490 + 0.289535i
\(96\) 1.95167 1.95167i 0.199191 0.199191i
\(97\) 12.0756 + 3.23566i 1.22609 + 0.328531i 0.813058 0.582183i \(-0.197801\pi\)
0.413037 + 0.910714i \(0.364468\pi\)
\(98\) −9.62923 6.70307i −0.972699 0.677112i
\(99\) 1.80030 1.80030i 0.180937 0.180937i
\(100\) 0.388012 + 0.672056i 0.0388012 + 0.0672056i
\(101\) −3.99818 + 6.92504i −0.397833 + 0.689068i −0.993458 0.114195i \(-0.963571\pi\)
0.595625 + 0.803263i \(0.296904\pi\)
\(102\) 1.65596 + 6.18013i 0.163964 + 0.611924i
\(103\) −10.3386 −1.01869 −0.509344 0.860563i \(-0.670112\pi\)
−0.509344 + 0.860563i \(0.670112\pi\)
\(104\) −6.82477 2.28122i −0.669224 0.223692i
\(105\) 0.584408 3.34120i 0.0570323 0.326068i
\(106\) 10.2391 2.74356i 0.994511 0.266479i
\(107\) −6.52593 + 11.3032i −0.630885 + 1.09273i 0.356486 + 0.934301i \(0.383975\pi\)
−0.987371 + 0.158425i \(0.949358\pi\)
\(108\) 1.44334 + 2.49994i 0.138885 + 0.240557i
\(109\) −8.28013 8.28013i −0.793093 0.793093i 0.188903 0.981996i \(-0.439507\pi\)
−0.981996 + 0.188903i \(0.939507\pi\)
\(110\) 3.19519 + 0.856149i 0.304650 + 0.0816306i
\(111\) −0.791721 + 2.95474i −0.0751468 + 0.280452i
\(112\) −7.54727 10.7471i −0.713150 1.01551i
\(113\) 4.05748 + 7.02777i 0.381696 + 0.661117i 0.991305 0.131586i \(-0.0420069\pi\)
−0.609609 + 0.792702i \(0.708674\pi\)
\(114\) 2.59909 + 1.50058i 0.243427 + 0.140543i
\(115\) 5.80377 1.55512i 0.541205 0.145015i
\(116\) 5.91899i 0.549565i
\(117\) 5.15834 7.79857i 0.476888 0.720978i
\(118\) 0.852822i 0.0785086i
\(119\) 15.7743 1.40193i 1.44603 0.128515i
\(120\) 1.27933 2.21587i 0.116786 0.202280i
\(121\) 8.69154 5.01806i 0.790140 0.456188i
\(122\) −15.4408 + 15.4408i −1.39795 + 1.39795i
\(123\) 0.565083 2.10892i 0.0509518 0.190155i
\(124\) 1.80996 6.75488i 0.162540 0.606606i
\(125\) 8.47036 + 8.47036i 0.757612 + 0.757612i
\(126\) 10.8009 3.94804i 0.962223 0.351720i
\(127\) 6.81853 + 3.93668i 0.605047 + 0.349324i 0.771024 0.636805i \(-0.219745\pi\)
−0.165977 + 0.986130i \(0.553078\pi\)
\(128\) −3.39999 12.6889i −0.300519 1.12155i
\(129\) 0.551300 0.0485392
\(130\) 12.1258 + 0.737931i 1.06351 + 0.0647208i
\(131\) 19.9597i 1.74389i −0.489604 0.871945i \(-0.662859\pi\)
0.489604 0.871945i \(-0.337141\pi\)
\(132\) −0.131141 0.489425i −0.0114144 0.0425990i
\(133\) 4.76705 5.69704i 0.413355 0.493996i
\(134\) −1.24400 + 0.718226i −0.107466 + 0.0620452i
\(135\) 5.07047 + 5.07047i 0.436397 + 0.436397i
\(136\) 11.5390 + 3.09187i 0.989461 + 0.265125i
\(137\) 10.3872 + 2.78324i 0.887437 + 0.237788i 0.673613 0.739084i \(-0.264741\pi\)
0.213824 + 0.976872i \(0.431408\pi\)
\(138\) −2.25917 2.25917i −0.192313 0.192313i
\(139\) −14.1096 + 8.14616i −1.19676 + 0.690949i −0.959831 0.280579i \(-0.909474\pi\)
−0.236927 + 0.971527i \(0.576140\pi\)
\(140\) 3.30091 + 2.76207i 0.278978 + 0.233437i
\(141\) −0.506551 1.89047i −0.0426593 0.159207i
\(142\) 19.5002i 1.63642i
\(143\) −2.65046 + 2.34637i −0.221642 + 0.196213i
\(144\) 12.8720 1.07267
\(145\) −3.80547 14.2022i −0.316027 1.17943i
\(146\) 2.11440 + 1.22075i 0.174989 + 0.101030i
\(147\) 0.787295 + 4.39427i 0.0649350 + 0.362433i
\(148\) −2.74470 2.74470i −0.225613 0.225613i
\(149\) 4.84157 18.0690i 0.396637 1.48027i −0.422338 0.906438i \(-0.638791\pi\)
0.818975 0.573829i \(-0.194543\pi\)
\(150\) 0.265297 0.990103i 0.0216614 0.0808416i
\(151\) −0.0257634 + 0.0257634i −0.00209659 + 0.00209659i −0.708154 0.706058i \(-0.750472\pi\)
0.706058 + 0.708154i \(0.250472\pi\)
\(152\) 4.85280 2.80176i 0.393614 0.227253i
\(153\) −7.76118 + 13.4428i −0.627454 + 1.08678i
\(154\) −4.33657 + 0.385410i −0.349451 + 0.0310572i
\(155\) 17.3715i 1.39532i
\(156\) −0.830802 1.66506i −0.0665174 0.133311i
\(157\) 7.18863i 0.573716i −0.957973 0.286858i \(-0.907389\pi\)
0.957973 0.286858i \(-0.0926107\pi\)
\(158\) −18.7845 + 5.03329i −1.49442 + 0.400427i
\(159\) −3.49304 2.01671i −0.277016 0.159935i
\(160\) 4.34999 + 7.53441i 0.343897 + 0.595647i
\(161\) −6.47163 + 4.54476i −0.510036 + 0.358177i
\(162\) −2.38804 + 8.91230i −0.187622 + 0.700216i
\(163\) 15.8950 + 4.25905i 1.24499 + 0.333594i 0.820400 0.571791i \(-0.193751\pi\)
0.424592 + 0.905385i \(0.360418\pi\)
\(164\) 1.95900 + 1.95900i 0.152972 + 0.152972i
\(165\) −0.629328 1.09003i −0.0489932 0.0848586i
\(166\) 1.46699 2.54090i 0.113860 0.197212i
\(167\) 6.49344 1.73991i 0.502478 0.134638i 0.00132801 0.999999i \(-0.499577\pi\)
0.501150 + 0.865361i \(0.332911\pi\)
\(168\) −0.580208 + 3.31719i −0.0447640 + 0.255927i
\(169\) −7.81725 + 10.3870i −0.601327 + 0.799003i
\(170\) −20.1675 −1.54678
\(171\) 1.88448 + 7.03296i 0.144110 + 0.537824i
\(172\) −0.349777 + 0.605832i −0.0266702 + 0.0461942i
\(173\) −4.75865 8.24223i −0.361794 0.626645i 0.626462 0.779452i \(-0.284502\pi\)
−0.988256 + 0.152807i \(0.951169\pi\)
\(174\) −5.52834 + 5.52834i −0.419102 + 0.419102i
\(175\) −2.30088 1.06907i −0.173930 0.0808141i
\(176\) −4.70709 1.26126i −0.354810 0.0950711i
\(177\) −0.229455 + 0.229455i −0.0172469 + 0.0172469i
\(178\) 11.6500 6.72614i 0.873206 0.504146i
\(179\) −5.20227 3.00353i −0.388836 0.224495i 0.292820 0.956168i \(-0.405406\pi\)
−0.681656 + 0.731673i \(0.738740\pi\)
\(180\) −4.07496 + 1.09188i −0.303729 + 0.0813841i
\(181\) 6.05960 0.450407 0.225203 0.974312i \(-0.427695\pi\)
0.225203 + 0.974312i \(0.427695\pi\)
\(182\) −15.3227 + 4.56682i −1.13580 + 0.338515i
\(183\) 8.30883 0.614207
\(184\) −5.76207 + 1.54394i −0.424786 + 0.113821i
\(185\) −8.35035 4.82108i −0.613930 0.354453i
\(186\) −7.99956 + 4.61855i −0.586556 + 0.338648i
\(187\) 4.15532 4.15532i 0.303867 0.303867i
\(188\) 2.39886 + 0.642771i 0.174955 + 0.0468789i
\(189\) −8.55891 3.97677i −0.622569 0.289267i
\(190\) −6.68919 + 6.68919i −0.485285 + 0.485285i
\(191\) −10.8137 18.7298i −0.782449 1.35524i −0.930511 0.366263i \(-0.880637\pi\)
0.148062 0.988978i \(-0.452696\pi\)
\(192\) −0.852485 + 1.47655i −0.0615228 + 0.106561i
\(193\) 2.50822 + 9.36080i 0.180546 + 0.673805i 0.995540 + 0.0943368i \(0.0300731\pi\)
−0.814995 + 0.579468i \(0.803260\pi\)
\(194\) 20.9537 1.50439
\(195\) −3.06396 3.46105i −0.219415 0.247851i
\(196\) −5.32843 1.92281i −0.380602 0.137344i
\(197\) −4.47322 + 1.19859i −0.318704 + 0.0853964i −0.414624 0.909993i \(-0.636087\pi\)
0.0959210 + 0.995389i \(0.469420\pi\)
\(198\) 2.13366 3.69560i 0.151632 0.262635i
\(199\) 10.7801 + 18.6717i 0.764182 + 1.32360i 0.940678 + 0.339300i \(0.110190\pi\)
−0.176496 + 0.984301i \(0.556476\pi\)
\(200\) −1.35330 1.35330i −0.0956924 0.0956924i
\(201\) 0.527945 + 0.141462i 0.0372384 + 0.00997799i
\(202\) −3.46883 + 12.9459i −0.244066 + 0.910868i
\(203\) 11.1213 + 15.8365i 0.780564 + 1.11151i
\(204\) 1.54458 + 2.67530i 0.108142 + 0.187308i
\(205\) 5.95998 + 3.44100i 0.416263 + 0.240330i
\(206\) −16.7378 + 4.48489i −1.16618 + 0.312477i
\(207\) 7.75118i 0.538745i
\(208\) −17.8635 1.08710i −1.23861 0.0753771i
\(209\) 2.75649i 0.190670i
\(210\) −0.503280 5.66282i −0.0347296 0.390772i
\(211\) 7.39505 12.8086i 0.509096 0.881780i −0.490848 0.871245i \(-0.663313\pi\)
0.999945 0.0105352i \(-0.00335353\pi\)
\(212\) 4.43238 2.55904i 0.304417 0.175755i
\(213\) 5.24662 5.24662i 0.359492 0.359492i
\(214\) −5.66192 + 21.1306i −0.387041 + 1.44446i
\(215\) −0.449761 + 1.67853i −0.0306735 + 0.114475i
\(216\) −5.03404 5.03404i −0.342523 0.342523i
\(217\) 7.84926 + 21.4737i 0.532842 + 1.45773i
\(218\) −16.9972 9.81336i −1.15120 0.664644i
\(219\) −0.240440 0.897335i −0.0162474 0.0606363i
\(220\) 1.59713 0.107679
\(221\) 11.9061 18.0001i 0.800891 1.21082i
\(222\) 5.12709i 0.344108i
\(223\) −5.52568 20.6221i −0.370027 1.38096i −0.860477 0.509490i \(-0.829834\pi\)
0.490450 0.871469i \(-0.336832\pi\)
\(224\) −8.78161 7.34809i −0.586746 0.490965i
\(225\) 2.15363 1.24340i 0.143575 0.0828933i
\(226\) 9.61760 + 9.61760i 0.639753 + 0.639753i
\(227\) −13.0566 3.49849i −0.866594 0.232203i −0.201980 0.979390i \(-0.564738\pi\)
−0.664615 + 0.747186i \(0.731404\pi\)
\(228\) 1.39966 + 0.375037i 0.0926946 + 0.0248374i
\(229\) 5.08550 + 5.08550i 0.336059 + 0.336059i 0.854882 0.518823i \(-0.173629\pi\)
−0.518823 + 0.854882i \(0.673629\pi\)
\(230\) 8.72153 5.03538i 0.575081 0.332023i
\(231\) 1.27047 + 1.06307i 0.0835905 + 0.0699452i
\(232\) 3.77813 + 14.1002i 0.248046 + 0.925721i
\(233\) 23.2048i 1.52019i 0.649809 + 0.760097i \(0.274849\pi\)
−0.649809 + 0.760097i \(0.725151\pi\)
\(234\) 4.96816 14.8634i 0.324779 0.971648i
\(235\) 6.16915 0.402431
\(236\) −0.106572 0.397731i −0.00693723 0.0258901i
\(237\) 6.40827 + 3.69982i 0.416262 + 0.240329i
\(238\) 24.9299 9.11259i 1.61597 0.590682i
\(239\) −2.77302 2.77302i −0.179372 0.179372i 0.611710 0.791082i \(-0.290482\pi\)
−0.791082 + 0.611710i \(0.790482\pi\)
\(240\) 1.64699 6.14666i 0.106313 0.396765i
\(241\) −0.825382 + 3.08037i −0.0531675 + 0.198424i −0.987401 0.158238i \(-0.949419\pi\)
0.934233 + 0.356662i \(0.116085\pi\)
\(242\) 11.8945 11.8945i 0.764608 0.764608i
\(243\) 12.3080 7.10603i 0.789559 0.455852i
\(244\) −5.27161 + 9.13070i −0.337480 + 0.584533i
\(245\) −14.0214 1.18787i −0.895797 0.0758903i
\(246\) 3.65941i 0.233316i
\(247\) −2.02127 9.91935i −0.128610 0.631153i
\(248\) 17.2467i 1.09517i
\(249\) −1.07834 + 0.288939i −0.0683368 + 0.0183108i
\(250\) 17.3877 + 10.0388i 1.09970 + 0.634910i
\(251\) −5.89697 10.2138i −0.372213 0.644692i 0.617692 0.786420i \(-0.288068\pi\)
−0.989906 + 0.141727i \(0.954734\pi\)
\(252\) 4.54388 3.19098i 0.286237 0.201013i
\(253\) −0.759496 + 2.83448i −0.0477491 + 0.178202i
\(254\) 12.7467 + 3.41548i 0.799802 + 0.214306i
\(255\) 5.42614 + 5.42614i 0.339798 + 0.339798i
\(256\) −8.33554 14.4376i −0.520971 0.902349i
\(257\) −8.34519 + 14.4543i −0.520559 + 0.901634i 0.479156 + 0.877730i \(0.340943\pi\)
−0.999714 + 0.0239041i \(0.992390\pi\)
\(258\) 0.892538 0.239155i 0.0555670 0.0148891i
\(259\) 12.5006 + 2.18648i 0.776751 + 0.135861i
\(260\) 5.74735 1.17114i 0.356436 0.0726310i
\(261\) −18.9677 −1.17407
\(262\) −8.65857 32.3142i −0.534928 1.99638i
\(263\) −4.75769 + 8.24055i −0.293371 + 0.508134i −0.974605 0.223932i \(-0.928111\pi\)
0.681233 + 0.732066i \(0.261444\pi\)
\(264\) 0.624806 + 1.08220i 0.0384542 + 0.0666046i
\(265\) 8.98993 8.98993i 0.552247 0.552247i
\(266\) 5.24633 11.2913i 0.321673 0.692313i
\(267\) −4.94418 1.32479i −0.302579 0.0810758i
\(268\) −0.490415 + 0.490415i −0.0299569 + 0.0299569i
\(269\) −0.275945 + 0.159317i −0.0168247 + 0.00971373i −0.508389 0.861128i \(-0.669759\pi\)
0.491564 + 0.870841i \(0.336425\pi\)
\(270\) 10.4085 + 6.00936i 0.633443 + 0.365718i
\(271\) −25.9248 + 6.94654i −1.57482 + 0.421972i −0.937318 0.348475i \(-0.886700\pi\)
−0.637504 + 0.770447i \(0.720033\pi\)
\(272\) 29.7103 1.80145
\(273\) 5.35136 + 2.89392i 0.323879 + 0.175148i
\(274\) 18.0239 1.08886
\(275\) −0.909381 + 0.243668i −0.0548378 + 0.0146937i
\(276\) −1.33593 0.771297i −0.0804132 0.0464266i
\(277\) −13.1218 + 7.57587i −0.788412 + 0.455190i −0.839403 0.543509i \(-0.817095\pi\)
0.0509909 + 0.998699i \(0.483762\pi\)
\(278\) −19.3092 + 19.3092i −1.15809 + 1.15809i
\(279\) −21.6463 5.80010i −1.29593 0.347243i
\(280\) −9.62645 4.47278i −0.575290 0.267300i
\(281\) 5.40600 5.40600i 0.322495 0.322495i −0.527228 0.849724i \(-0.676769\pi\)
0.849724 + 0.527228i \(0.176769\pi\)
\(282\) −1.64018 2.84088i −0.0976714 0.169172i
\(283\) 0.896218 1.55229i 0.0532746 0.0922743i −0.838158 0.545427i \(-0.816367\pi\)
0.891433 + 0.453153i \(0.149701\pi\)
\(284\) 2.43682 + 9.09435i 0.144599 + 0.539650i
\(285\) 3.59950 0.213216
\(286\) −3.27315 + 4.94848i −0.193546 + 0.292610i
\(287\) −8.92220 1.56058i −0.526661 0.0921180i
\(288\) 10.8409 2.90480i 0.638803 0.171167i
\(289\) −9.41380 + 16.3052i −0.553753 + 0.959128i
\(290\) −12.3219 21.3422i −0.723567 1.25325i
\(291\) −5.63768 5.63768i −0.330487 0.330487i
\(292\) 1.13864 + 0.305099i 0.0666341 + 0.0178546i
\(293\) 6.85691 25.5903i 0.400585 1.49500i −0.411471 0.911423i \(-0.634985\pi\)
0.812055 0.583580i \(-0.198349\pi\)
\(294\) 3.18085 + 6.77266i 0.185511 + 0.394990i
\(295\) −0.511424 0.885812i −0.0297762 0.0515739i
\(296\) 8.29035 + 4.78644i 0.481867 + 0.278206i
\(297\) −3.38275 + 0.906405i −0.196287 + 0.0525950i
\(298\) 31.3534i 1.81625i
\(299\) −0.654624 + 10.7569i −0.0378579 + 0.622089i
\(300\) 0.494908i 0.0285735i
\(301\) −0.202468 2.27813i −0.0116700 0.131309i
\(302\) −0.0305339 + 0.0528863i −0.00175703 + 0.00304327i
\(303\) 4.41644 2.54983i 0.253718 0.146484i
\(304\) 9.85437 9.85437i 0.565187 0.565187i
\(305\) −6.77851 + 25.2978i −0.388136 + 1.44855i
\(306\) −6.73363 + 25.1302i −0.384936 + 1.43660i
\(307\) −1.54710 1.54710i −0.0882978 0.0882978i 0.661578 0.749876i \(-0.269887\pi\)
−0.749876 + 0.661578i \(0.769887\pi\)
\(308\) −1.97429 + 0.721658i −0.112495 + 0.0411203i
\(309\) 5.71005 + 3.29670i 0.324833 + 0.187543i
\(310\) −7.53581 28.1240i −0.428005 1.59734i
\(311\) 29.3344 1.66340 0.831699 0.555226i \(-0.187368\pi\)
0.831699 + 0.555226i \(0.187368\pi\)
\(312\) 3.04194 + 3.43618i 0.172216 + 0.194535i
\(313\) 27.9847i 1.58179i 0.611954 + 0.790893i \(0.290384\pi\)
−0.611954 + 0.790893i \(0.709616\pi\)
\(314\) −3.11844 11.6382i −0.175984 0.656781i
\(315\) 8.85116 10.5779i 0.498707 0.595998i
\(316\) −8.13157 + 4.69476i −0.457436 + 0.264101i
\(317\) 5.56105 + 5.56105i 0.312340 + 0.312340i 0.845815 0.533476i \(-0.179114\pi\)
−0.533476 + 0.845815i \(0.679114\pi\)
\(318\) −6.52998 1.74970i −0.366183 0.0981185i
\(319\) 6.93616 + 1.85854i 0.388350 + 0.104058i
\(320\) −3.80014 3.80014i −0.212434 0.212434i
\(321\) 7.20862 4.16190i 0.402346 0.232295i
\(322\) −8.50586 + 10.1652i −0.474013 + 0.566487i
\(323\) 4.34961 + 16.2330i 0.242019 + 0.903227i
\(324\) 4.45486i 0.247492i
\(325\) −3.09377 + 1.54368i −0.171612 + 0.0856279i
\(326\) 27.5811 1.52758
\(327\) 1.93285 + 7.21349i 0.106887 + 0.398907i
\(328\) −5.91716 3.41627i −0.326720 0.188632i
\(329\) −7.62596 + 2.78750i −0.420433 + 0.153680i
\(330\) −1.49172 1.49172i −0.0821165 0.0821165i
\(331\) 4.21415 15.7274i 0.231630 0.864457i −0.748008 0.663689i \(-0.768990\pi\)
0.979639 0.200767i \(-0.0643436\pi\)
\(332\) 0.366640 1.36832i 0.0201220 0.0750963i
\(333\) −8.79550 + 8.79550i −0.481990 + 0.481990i
\(334\) 9.75792 5.63374i 0.533929 0.308264i
\(335\) −0.861417 + 1.49202i −0.0470642 + 0.0815176i
\(336\) 0.741421 + 8.34234i 0.0404478 + 0.455112i
\(337\) 11.0114i 0.599827i −0.953966 0.299913i \(-0.903042\pi\)
0.953966 0.299913i \(-0.0969578\pi\)
\(338\) −8.14999 + 20.2075i −0.443301 + 1.09914i
\(339\) 5.17531i 0.281084i
\(340\) −9.40553 + 2.52020i −0.510086 + 0.136677i
\(341\) 7.34737 + 4.24200i 0.397882 + 0.229717i
\(342\) 6.10183 + 10.5687i 0.329949 + 0.571488i
\(343\) 17.8693 4.86715i 0.964850 0.262801i
\(344\) 0.446530 1.66647i 0.0240753 0.0898501i
\(345\) −3.70135 0.991773i −0.199274 0.0533953i
\(346\) −11.2796 11.2796i −0.606396 0.606396i
\(347\) −2.36362 4.09391i −0.126886 0.219772i 0.795583 0.605845i \(-0.207165\pi\)
−0.922468 + 0.386073i \(0.873831\pi\)
\(348\) −1.88741 + 3.26910i −0.101176 + 0.175242i
\(349\) −22.4353 + 6.01151i −1.20093 + 0.321789i −0.803198 0.595712i \(-0.796870\pi\)
−0.397734 + 0.917501i \(0.630203\pi\)
\(350\) −4.18883 0.732666i −0.223902 0.0391626i
\(351\) −11.5083 + 5.74223i −0.614269 + 0.306498i
\(352\) −4.24895 −0.226470
\(353\) −3.40370 12.7028i −0.181161 0.676101i −0.995420 0.0955993i \(-0.969523\pi\)
0.814259 0.580501i \(-0.197143\pi\)
\(354\) −0.271943 + 0.471019i −0.0144536 + 0.0250344i
\(355\) 11.6940 + 20.2546i 0.620652 + 1.07500i
\(356\) 4.59271 4.59271i 0.243413 0.243413i
\(357\) −9.15927 4.25572i −0.484760 0.225236i
\(358\) −9.72526 2.60588i −0.513996 0.137725i
\(359\) 6.64709 6.64709i 0.350820 0.350820i −0.509594 0.860415i \(-0.670205\pi\)
0.860415 + 0.509594i \(0.170205\pi\)
\(360\) 9.01037 5.20214i 0.474888 0.274177i
\(361\) −9.62761 5.55850i −0.506716 0.292553i
\(362\) 9.81032 2.62867i 0.515619 0.138160i
\(363\) −6.40052 −0.335940
\(364\) −6.57539 + 4.04462i −0.344644 + 0.211996i
\(365\) 2.92826 0.153272
\(366\) 13.4518 3.60439i 0.703135 0.188404i
\(367\) −6.33897 3.65981i −0.330892 0.191040i 0.325345 0.945595i \(-0.394519\pi\)
−0.656237 + 0.754555i \(0.727853\pi\)
\(368\) −12.8484 + 7.41801i −0.669767 + 0.386690i
\(369\) 6.27770 6.27770i 0.326804 0.326804i
\(370\) −15.6104 4.18279i −0.811544 0.217453i
\(371\) −7.05079 + 15.1749i −0.366059 + 0.787843i
\(372\) −3.15361 + 3.15361i −0.163507 + 0.163507i
\(373\) 0.542562 + 0.939745i 0.0280928 + 0.0486582i 0.879730 0.475474i \(-0.157723\pi\)
−0.851637 + 0.524132i \(0.824390\pi\)
\(374\) 4.92475 8.52992i 0.254653 0.441072i
\(375\) −1.97725 7.37921i −0.102105 0.381061i
\(376\) −6.12482 −0.315863
\(377\) 26.3229 + 1.60191i 1.35570 + 0.0825025i
\(378\) −15.5818 2.72540i −0.801439 0.140179i
\(379\) −25.1695 + 6.74414i −1.29287 + 0.346423i −0.838749 0.544518i \(-0.816713\pi\)
−0.454119 + 0.890941i \(0.650046\pi\)
\(380\) −2.28374 + 3.95555i −0.117153 + 0.202915i
\(381\) −2.51061 4.34851i −0.128623 0.222781i
\(382\) −25.6320 25.6320i −1.31145 1.31145i
\(383\) −5.14879 1.37961i −0.263091 0.0704950i 0.124862 0.992174i \(-0.460151\pi\)
−0.387953 + 0.921679i \(0.626818\pi\)
\(384\) −2.16834 + 8.09234i −0.110652 + 0.412961i
\(385\) −4.27320 + 3.00089i −0.217782 + 0.152939i
\(386\) 8.12146 + 14.0668i 0.413372 + 0.715981i
\(387\) 1.94141 + 1.12088i 0.0986876 + 0.0569773i
\(388\) 9.77221 2.61846i 0.496109 0.132932i
\(389\) 3.43917i 0.174373i −0.996192 0.0871864i \(-0.972212\pi\)
0.996192 0.0871864i \(-0.0277876\pi\)
\(390\) −6.46187 4.27418i −0.327210 0.216432i
\(391\) 17.8907i 0.904773i
\(392\) 13.9207 + 1.17934i 0.703101 + 0.0595654i
\(393\) −6.36465 + 11.0239i −0.321054 + 0.556082i
\(394\) −6.72205 + 3.88098i −0.338652 + 0.195521i
\(395\) −16.4928 + 16.4928i −0.829841 + 0.829841i
\(396\) 0.533259 1.99015i 0.0267973 0.100009i
\(397\) 0.155514 0.580386i 0.00780502 0.0291287i −0.961914 0.273354i \(-0.911867\pi\)
0.969719 + 0.244225i \(0.0785336\pi\)
\(398\) 25.5525 + 25.5525i 1.28083 + 1.28083i
\(399\) −4.44951 + 1.62642i −0.222754 + 0.0814229i
\(400\) −4.12212 2.37991i −0.206106 0.118995i
\(401\) 3.10377 + 11.5834i 0.154995 + 0.578448i 0.999106 + 0.0422800i \(0.0134621\pi\)
−0.844111 + 0.536168i \(0.819871\pi\)
\(402\) 0.916095 0.0456906
\(403\) 29.5504 + 9.87739i 1.47201 + 0.492028i
\(404\) 6.47105i 0.321947i
\(405\) 2.86414 + 10.6891i 0.142320 + 0.531147i
\(406\) 24.8750 + 20.8144i 1.23453 + 1.03300i
\(407\) 4.07819 2.35454i 0.202148 0.116710i
\(408\) −5.38715 5.38715i −0.266704 0.266704i
\(409\) 11.2120 + 3.00424i 0.554396 + 0.148550i 0.525131 0.851022i \(-0.324016\pi\)
0.0292657 + 0.999572i \(0.490683\pi\)
\(410\) 11.1418 + 2.98542i 0.550252 + 0.147440i
\(411\) −4.84940 4.84940i −0.239204 0.239204i
\(412\) −7.24558 + 4.18324i −0.356964 + 0.206093i
\(413\) 1.03244 + 0.863907i 0.0508033 + 0.0425101i
\(414\) −3.36248 12.5489i −0.165257 0.616747i
\(415\) 3.51891i 0.172737i
\(416\) −15.2900 + 3.11565i −0.749655 + 0.152758i
\(417\) 10.3904 0.508820
\(418\) −1.19577 4.46267i −0.0584870 0.218276i
\(419\) −30.9881 17.8910i −1.51387 0.874032i −0.999868 0.0162408i \(-0.994830\pi\)
−0.513999 0.857791i \(-0.671836\pi\)
\(420\) −0.942362 2.57808i −0.0459826 0.125798i
\(421\) −3.47255 3.47255i −0.169242 0.169242i 0.617404 0.786646i \(-0.288184\pi\)
−0.786646 + 0.617404i \(0.788184\pi\)
\(422\) 6.41597 23.9447i 0.312325 1.16561i
\(423\) 2.05979 7.68723i 0.100150 0.373766i
\(424\) −8.92533 + 8.92533i −0.433452 + 0.433452i
\(425\) 4.97086 2.86993i 0.241122 0.139212i
\(426\) 6.21813 10.7701i 0.301269 0.521814i
\(427\) −3.05146 34.3345i −0.147671 1.66156i
\(428\) 10.5622i 0.510544i
\(429\) 2.21206 0.450753i 0.106799 0.0217625i
\(430\) 2.91260i 0.140458i
\(431\) −0.474207 + 0.127063i −0.0228418 + 0.00612043i −0.270222 0.962798i \(-0.587097\pi\)
0.247380 + 0.968919i \(0.420430\pi\)
\(432\) −15.3336 8.85286i −0.737739 0.425934i
\(433\) 8.89347 + 15.4039i 0.427393 + 0.740266i 0.996641 0.0818999i \(-0.0260988\pi\)
−0.569248 + 0.822166i \(0.692765\pi\)
\(434\) 22.0231 + 31.3603i 1.05714 + 1.50534i
\(435\) −2.42693 + 9.05744i −0.116363 + 0.434271i
\(436\) −9.15333 2.45263i −0.438365 0.117460i
\(437\) −5.93403 5.93403i −0.283863 0.283863i
\(438\) −0.778531 1.34846i −0.0371997 0.0644317i
\(439\) 14.3012 24.7704i 0.682559 1.18223i −0.291639 0.956529i \(-0.594200\pi\)
0.974197 0.225698i \(-0.0724662\pi\)
\(440\) −3.80467 + 1.01946i −0.181381 + 0.0486008i
\(441\) −6.16174 + 17.0752i −0.293416 + 0.813104i
\(442\) 11.4672 34.3065i 0.545437 1.63179i
\(443\) −7.37150 −0.350231 −0.175115 0.984548i \(-0.556030\pi\)
−0.175115 + 0.984548i \(0.556030\pi\)
\(444\) 0.640701 + 2.39113i 0.0304063 + 0.113478i
\(445\) 8.06712 13.9727i 0.382418 0.662368i
\(446\) −17.8918 30.9896i −0.847203 1.46740i
\(447\) −8.43576 + 8.43576i −0.398998 + 0.398998i
\(448\) 6.41461 + 2.98045i 0.303062 + 0.140813i
\(449\) 22.5220 + 6.03476i 1.06288 + 0.284798i 0.747565 0.664189i \(-0.231223\pi\)
0.315315 + 0.948987i \(0.397890\pi\)
\(450\) 2.94728 2.94728i 0.138936 0.138936i
\(451\) −2.91077 + 1.68053i −0.137063 + 0.0791332i
\(452\) 5.68722 + 3.28352i 0.267504 + 0.154444i
\(453\) 0.0224445 0.00601399i 0.00105454 0.000282562i
\(454\) −22.6558 −1.06329
\(455\) −13.1768 + 13.9323i −0.617738 + 0.653155i
\(456\) −3.57364 −0.167351
\(457\) 4.35841 1.16783i 0.203878 0.0546289i −0.155435 0.987846i \(-0.549678\pi\)
0.359313 + 0.933217i \(0.383011\pi\)
\(458\) 10.4394 + 6.02718i 0.487800 + 0.281631i
\(459\) 18.4908 10.6757i 0.863076 0.498297i
\(460\) 3.43823 3.43823i 0.160308 0.160308i
\(461\) 32.1809 + 8.62285i 1.49882 + 0.401606i 0.912703 0.408623i \(-0.133991\pi\)
0.586112 + 0.810230i \(0.300658\pi\)
\(462\) 2.51801 + 1.16996i 0.117148 + 0.0544313i
\(463\) 29.0991 29.0991i 1.35235 1.35235i 0.469321 0.883028i \(-0.344499\pi\)
0.883028 0.469321i \(-0.155501\pi\)
\(464\) 18.1524 + 31.4408i 0.842702 + 1.45960i
\(465\) −5.53934 + 9.59441i −0.256881 + 0.444930i
\(466\) 10.0663 + 37.5678i 0.466311 + 1.74030i
\(467\) 5.71733 0.264566 0.132283 0.991212i \(-0.457769\pi\)
0.132283 + 0.991212i \(0.457769\pi\)
\(468\) 0.459626 7.55267i 0.0212462 0.349122i
\(469\) 0.390674 2.23358i 0.0180396 0.103137i
\(470\) 9.98767 2.67619i 0.460697 0.123443i
\(471\) −2.29227 + 3.97033i −0.105622 + 0.182943i
\(472\) 0.507749 + 0.879447i 0.0233710 + 0.0404798i
\(473\) −0.600114 0.600114i −0.0275933 0.0275933i
\(474\) 11.9798 + 3.20998i 0.550250 + 0.147439i
\(475\) 0.696841 2.60065i 0.0319733 0.119326i
\(476\) 10.4879 7.36519i 0.480710 0.337583i
\(477\) −8.20054 14.2038i −0.375477 0.650345i
\(478\) −5.69239 3.28650i −0.260364 0.150321i
\(479\) 32.1894 8.62513i 1.47077 0.394092i 0.567576 0.823321i \(-0.307881\pi\)
0.903196 + 0.429229i \(0.141215\pi\)
\(480\) 5.54840i 0.253249i
\(481\) 12.9490 11.4634i 0.590425 0.522685i
\(482\) 5.34507i 0.243461i
\(483\) 5.02353 0.446463i 0.228579 0.0203148i
\(484\) 4.06087 7.03363i 0.184585 0.319711i
\(485\) 21.7643 12.5656i 0.988265 0.570575i
\(486\) 16.8437 16.8437i 0.764045 0.764045i
\(487\) −3.91309 + 14.6038i −0.177319 + 0.661763i 0.818826 + 0.574041i \(0.194625\pi\)
−0.996145 + 0.0877214i \(0.972041\pi\)
\(488\) 6.72980 25.1160i 0.304644 1.13695i
\(489\) −7.42080 7.42080i −0.335580 0.335580i
\(490\) −23.2156 + 4.15940i −1.04877 + 0.187903i
\(491\) −3.79911 2.19342i −0.171451 0.0989875i 0.411819 0.911266i \(-0.364894\pi\)
−0.583270 + 0.812278i \(0.698227\pi\)
\(492\) −0.457294 1.70664i −0.0206164 0.0769415i
\(493\) −43.7798 −1.97174
\(494\) −7.57541 15.1823i −0.340834 0.683084i
\(495\) 5.11808i 0.230040i
\(496\) 11.1016 + 41.4317i 0.498476 + 1.86034i
\(497\) −23.6074 19.7537i −1.05894 0.886075i
\(498\) −1.62045 + 0.935569i −0.0726142 + 0.0419238i
\(499\) 14.1707 + 14.1707i 0.634366 + 0.634366i 0.949160 0.314794i \(-0.101936\pi\)
−0.314794 + 0.949160i \(0.601936\pi\)
\(500\) 9.36361 + 2.50897i 0.418753 + 0.112205i
\(501\) −4.14118 1.10963i −0.185014 0.0495745i
\(502\) −13.9778 13.9778i −0.623860 0.623860i
\(503\) −0.917016 + 0.529439i −0.0408877 + 0.0236065i −0.520305 0.853981i \(-0.674182\pi\)
0.479417 + 0.877587i \(0.340848\pi\)
\(504\) −8.78756 + 10.5019i −0.391429 + 0.467792i
\(505\) 4.16041 + 15.5268i 0.185136 + 0.690936i
\(506\) 4.91841i 0.218650i
\(507\) 7.62968 3.24411i 0.338846 0.144076i
\(508\) 6.37152 0.282691
\(509\) 2.91008 + 10.8606i 0.128987 + 0.481387i 0.999950 0.00996149i \(-0.00317089\pi\)
−0.870963 + 0.491348i \(0.836504\pi\)
\(510\) 11.1386 + 6.43089i 0.493227 + 0.284765i
\(511\) −3.61975 + 1.32312i −0.160128 + 0.0585314i
\(512\) −1.18017 1.18017i −0.0521565 0.0521565i
\(513\) 2.59214 9.67398i 0.114446 0.427117i
\(514\) −7.24032 + 27.0212i −0.319357 + 1.19186i
\(515\) −14.6958 + 14.6958i −0.647573 + 0.647573i
\(516\) 0.386368 0.223070i 0.0170089 0.00982010i
\(517\) −1.50646 + 2.60927i −0.0662541 + 0.114755i
\(518\) 21.1867 1.88295i 0.930888 0.0827321i
\(519\) 6.06965i 0.266428i
\(520\) −12.9437 + 6.45845i −0.567621 + 0.283222i
\(521\) 16.9175i 0.741168i −0.928799 0.370584i \(-0.879157\pi\)
0.928799 0.370584i \(-0.120843\pi\)
\(522\) −30.7081 + 8.22821i −1.34406 + 0.360139i
\(523\) −0.268849 0.155220i −0.0117560 0.00678731i 0.494111 0.869399i \(-0.335494\pi\)
−0.505866 + 0.862612i \(0.668827\pi\)
\(524\) −8.07621 13.9884i −0.352811 0.611086i
\(525\) 0.929894 + 1.32415i 0.0405839 + 0.0577905i
\(526\) −4.12779 + 15.4051i −0.179980 + 0.671695i
\(527\) −49.9624 13.3874i −2.17640 0.583164i
\(528\) 2.19757 + 2.19757i 0.0956370 + 0.0956370i
\(529\) −7.03308 12.1816i −0.305786 0.529637i
\(530\) 10.6546 18.4543i 0.462806 0.801603i
\(531\) −1.27455 + 0.341514i −0.0553106 + 0.0148204i
\(532\) 1.03573 5.92153i 0.0449047 0.256731i
\(533\) −9.24224 + 8.18188i −0.400326 + 0.354396i
\(534\) −8.57918 −0.371257
\(535\) 6.79073 + 25.3433i 0.293589 + 1.09569i
\(536\) 0.855227 1.48130i 0.0369402 0.0639823i
\(537\) 1.91550 + 3.31774i 0.0826599 + 0.143171i
\(538\) −0.377635 + 0.377635i −0.0162810 + 0.0162810i
\(539\) 3.92635 5.64036i 0.169120 0.242947i
\(540\) 5.60519 + 1.50190i 0.241209 + 0.0646317i
\(541\) −22.0115 + 22.0115i −0.946347 + 0.946347i −0.998632 0.0522854i \(-0.983349\pi\)
0.0522854 + 0.998632i \(0.483349\pi\)
\(542\) −38.9581 + 22.4925i −1.67340 + 0.966135i
\(543\) −3.34676 1.93225i −0.143623 0.0829208i
\(544\) 25.0221 6.70465i 1.07281 0.287459i
\(545\) −23.5396 −1.00833
\(546\) 9.91908 + 2.36374i 0.424497 + 0.101159i
\(547\) −13.8672 −0.592920 −0.296460 0.955045i \(-0.595806\pi\)
−0.296460 + 0.955045i \(0.595806\pi\)
\(548\) 8.40583 2.25234i 0.359079 0.0962150i
\(549\) 29.2597 + 16.8931i 1.24877 + 0.720980i
\(550\) −1.36656 + 0.788983i −0.0582702 + 0.0336423i
\(551\) −14.5210 + 14.5210i −0.618614 + 0.618614i
\(552\) 3.67475 + 0.984647i 0.156408 + 0.0419094i
\(553\) 12.9353 27.8396i 0.550063 1.18386i
\(554\) −17.9574 + 17.9574i −0.762936 + 0.762936i
\(555\) 3.07464 + 5.32542i 0.130511 + 0.226052i
\(556\) −6.59229 + 11.4182i −0.279575 + 0.484238i
\(557\) −5.87298 21.9183i −0.248846 0.928706i −0.971411 0.237403i \(-0.923704\pi\)
0.722565 0.691303i \(-0.242963\pi\)
\(558\) −37.5608 −1.59008
\(559\) −2.59959 1.71949i −0.109951 0.0727266i
\(560\) −26.0046 4.54846i −1.09890 0.192208i
\(561\) −3.62003 + 0.969985i −0.152838 + 0.0409528i
\(562\) 6.40703 11.0973i 0.270264 0.468111i
\(563\) 11.2217 + 19.4366i 0.472940 + 0.819156i 0.999520 0.0309690i \(-0.00985932\pi\)
−0.526580 + 0.850125i \(0.676526\pi\)
\(564\) −1.11994 1.11994i −0.0471580 0.0471580i
\(565\) 15.7572 + 4.22212i 0.662909 + 0.177626i
\(566\) 0.777562 2.90190i 0.0326834 0.121976i
\(567\) −8.37033 11.9192i −0.351521 0.500557i
\(568\) −11.6100 20.1090i −0.487143 0.843756i
\(569\) −11.1921 6.46175i −0.469196 0.270891i 0.246707 0.969090i \(-0.420651\pi\)
−0.715903 + 0.698200i \(0.753985\pi\)
\(570\) 5.82749 1.56147i 0.244087 0.0654029i
\(571\) 17.4421i 0.729930i 0.931021 + 0.364965i \(0.118919\pi\)
−0.931021 + 0.364965i \(0.881081\pi\)
\(572\) −0.908123 + 2.71685i −0.0379705 + 0.113597i
\(573\) 13.7928i 0.576202i
\(574\) −15.1218 + 1.34394i −0.631171 + 0.0560949i
\(575\) −1.43312 + 2.48223i −0.0597650 + 0.103516i
\(576\) −6.00409 + 3.46646i −0.250170 + 0.144436i
\(577\) −10.2002 + 10.2002i −0.424642 + 0.424642i −0.886798 0.462157i \(-0.847076\pi\)
0.462157 + 0.886798i \(0.347076\pi\)
\(578\) −8.16745 + 30.4813i −0.339721 + 1.26786i
\(579\) 1.59961 5.96984i 0.0664776 0.248098i
\(580\) −8.41357 8.41357i −0.349354 0.349354i
\(581\) 1.59001 + 4.34989i 0.0659646 + 0.180464i
\(582\) −11.5729 6.68160i −0.479711 0.276961i
\(583\) 1.60705 + 5.99760i 0.0665573 + 0.248395i
\(584\) −2.90721 −0.120301
\(585\) −3.75297 18.4176i −0.155166 0.761475i
\(586\) 44.4045i 1.83433i
\(587\) 4.97130 + 18.5532i 0.205188 + 0.765771i 0.989392 + 0.145268i \(0.0464046\pi\)
−0.784205 + 0.620502i \(0.786929\pi\)
\(588\) 2.32979 + 2.76108i 0.0960790 + 0.113865i
\(589\) −21.0120 + 12.1313i −0.865783 + 0.499860i
\(590\) −1.21225 1.21225i −0.0499074 0.0499074i
\(591\) 2.85279 + 0.764402i 0.117348 + 0.0314433i
\(592\) 22.9969 + 6.16199i 0.945165 + 0.253256i
\(593\) 1.84156 + 1.84156i 0.0756236 + 0.0756236i 0.743907 0.668283i \(-0.232971\pi\)
−0.668283 + 0.743907i \(0.732971\pi\)
\(594\) −5.08337 + 2.93489i −0.208573 + 0.120420i
\(595\) 20.4296 24.4152i 0.837533 1.00092i
\(596\) −3.91804 14.6223i −0.160489 0.598954i
\(597\) 13.7500i 0.562750i
\(598\) 3.60656 + 17.6991i 0.147483 + 0.723771i
\(599\) 24.8100 1.01371 0.506855 0.862031i \(-0.330808\pi\)
0.506855 + 0.862031i \(0.330808\pi\)
\(600\) 0.315903 + 1.17896i 0.0128967 + 0.0481310i
\(601\) 15.2889 + 8.82708i 0.623649 + 0.360064i 0.778288 0.627907i \(-0.216088\pi\)
−0.154639 + 0.987971i \(0.549422\pi\)
\(602\) −1.31605 3.60040i −0.0536381 0.146741i
\(603\) 1.57155 + 1.57155i 0.0639987 + 0.0639987i
\(604\) −0.00763126 + 0.0284803i −0.000310512 + 0.00115885i
\(605\) 5.22168 19.4876i 0.212291 0.792282i
\(606\) 6.04396 6.04396i 0.245519 0.245519i
\(607\) −13.0545 + 7.53700i −0.529864 + 0.305917i −0.740961 0.671548i \(-0.765630\pi\)
0.211097 + 0.977465i \(0.432296\pi\)
\(608\) 6.07556 10.5232i 0.246397 0.426771i
\(609\) −1.09253 12.2929i −0.0442714 0.498134i
\(610\) 43.8969i 1.77733i
\(611\) −3.50775 + 10.4942i −0.141908 + 0.424551i
\(612\) 12.5615i 0.507768i
\(613\) 33.8842 9.07924i 1.36857 0.366707i 0.501614 0.865092i \(-0.332740\pi\)
0.866956 + 0.498384i \(0.166073\pi\)
\(614\) −3.17585 1.83358i −0.128167 0.0739972i
\(615\) −2.19449 3.80097i −0.0884904 0.153270i
\(616\) 4.24249 2.97933i 0.170935 0.120040i
\(617\) 9.01921 33.6601i 0.363100 1.35511i −0.506879 0.862017i \(-0.669201\pi\)
0.869979 0.493089i \(-0.164132\pi\)
\(618\) 10.6745 + 2.86023i 0.429392 + 0.115055i
\(619\) −5.61860 5.61860i −0.225830 0.225830i 0.585118 0.810948i \(-0.301048\pi\)
−0.810948 + 0.585118i \(0.801048\pi\)
\(620\) −7.02896 12.1745i −0.282290 0.488940i
\(621\) −5.33095 + 9.23348i −0.213924 + 0.370527i
\(622\) 47.4915 12.7253i 1.90423 0.510238i
\(623\) −3.65864 + 20.9173i −0.146580 + 0.838035i
\(624\) 9.51949 + 6.29663i 0.381084 + 0.252067i
\(625\) 19.2857 0.771429
\(626\) 12.1398 + 45.3063i 0.485204 + 1.81081i
\(627\) −0.878973 + 1.52243i −0.0351028 + 0.0607998i
\(628\) −2.90870 5.03802i −0.116070 0.201039i
\(629\) −20.3011 + 20.3011i −0.809460 + 0.809460i
\(630\) 9.74106 20.9650i 0.388093 0.835265i
\(631\) 40.9973 + 10.9852i 1.63208 + 0.437314i 0.954517 0.298155i \(-0.0963713\pi\)
0.677559 + 0.735469i \(0.263038\pi\)
\(632\) 16.3743 16.3743i 0.651333 0.651333i
\(633\) −8.16866 + 4.71618i −0.324675 + 0.187451i
\(634\) 11.4156 + 6.59079i 0.453370 + 0.261754i
\(635\) 15.2880 4.09642i 0.606687 0.162561i
\(636\) −3.26404 −0.129428
\(637\) 9.99320 23.1762i 0.395945 0.918274i
\(638\) 12.0357 0.476497
\(639\) 29.1432 7.80890i 1.15289 0.308915i
\(640\) −22.8696 13.2038i −0.904002 0.521926i
\(641\) −17.7415 + 10.2431i −0.700748 + 0.404577i −0.807626 0.589695i \(-0.799248\pi\)
0.106878 + 0.994272i \(0.465915\pi\)
\(642\) 9.86511 9.86511i 0.389345 0.389345i
\(643\) −20.9593 5.61604i −0.826556 0.221475i −0.179345 0.983786i \(-0.557398\pi\)
−0.647211 + 0.762311i \(0.724065\pi\)
\(644\) −2.69660 + 5.80370i −0.106261 + 0.228698i
\(645\) 0.783647 0.783647i 0.0308561 0.0308561i
\(646\) 14.0838 + 24.3939i 0.554120 + 0.959763i
\(647\) 19.5669 33.8908i 0.769252 1.33238i −0.168716 0.985665i \(-0.553962\pi\)
0.937969 0.346720i \(-0.112704\pi\)
\(648\) −2.84356 10.6123i −0.111706 0.416891i
\(649\) 0.499544 0.0196088
\(650\) −4.33908 + 3.84126i −0.170193 + 0.150666i
\(651\) 2.51223 14.3630i 0.0984619 0.562931i
\(652\) 12.8630 3.44664i 0.503755 0.134981i
\(653\) 14.8092 25.6503i 0.579528 1.00377i −0.416005 0.909362i \(-0.636570\pi\)
0.995533 0.0944103i \(-0.0300966\pi\)
\(654\) 6.25845 + 10.8400i 0.244725 + 0.423876i
\(655\) −28.3718 28.3718i −1.10858 1.10858i
\(656\) −16.4138 4.39806i −0.640851 0.171715i
\(657\) 0.977702 3.64883i 0.0381438 0.142355i
\(658\) −11.1370 + 7.82104i −0.434165 + 0.304896i
\(659\) 1.87682 + 3.25074i 0.0731104 + 0.126631i 0.900263 0.435346i \(-0.143374\pi\)
−0.827153 + 0.561977i \(0.810041\pi\)
\(660\) −0.882106 0.509284i −0.0343359 0.0198239i
\(661\) −41.9725 + 11.2465i −1.63254 + 0.437438i −0.954651 0.297726i \(-0.903772\pi\)
−0.677889 + 0.735164i \(0.737105\pi\)
\(662\) 27.2903i 1.06067i
\(663\) −12.3156 + 6.14502i −0.478298 + 0.238653i
\(664\) 3.49363i 0.135579i
\(665\) −1.32194 14.8742i −0.0512625 0.576797i
\(666\) −10.4242 + 18.0552i −0.403928 + 0.699623i
\(667\) 18.9328 10.9309i 0.733081 0.423244i
\(668\) 3.84680 3.84680i 0.148837 0.148837i
\(669\) −3.52399 + 13.1517i −0.136245 + 0.508475i
\(670\) −0.747368 + 2.78922i −0.0288734 + 0.107757i
\(671\) −9.04453 9.04453i −0.349160 0.349160i
\(672\) 2.50702 + 6.85863i 0.0967105 + 0.264577i
\(673\) 23.1880 + 13.3876i 0.893833 + 0.516055i 0.875194 0.483771i \(-0.160733\pi\)
0.0186390 + 0.999826i \(0.494067\pi\)
\(674\) −4.77675 17.8271i −0.183993 0.686673i
\(675\) −3.42064 −0.131661
\(676\) −1.27572 + 10.4426i −0.0490661 + 0.401639i
\(677\) 20.8667i 0.801971i 0.916084 + 0.400985i \(0.131332\pi\)
−0.916084 + 0.400985i \(0.868668\pi\)
\(678\) −2.24506 8.37867i −0.0862209 0.321781i
\(679\) −21.2261 + 25.3670i −0.814582 + 0.973497i
\(680\) 20.7971 12.0072i 0.797532 0.460456i
\(681\) 6.09564 + 6.09564i 0.233585 + 0.233585i
\(682\) 13.7354 + 3.68038i 0.525954 + 0.140929i
\(683\) −31.6796 8.48852i −1.21219 0.324804i −0.404567 0.914509i \(-0.632578\pi\)
−0.807619 + 0.589704i \(0.799244\pi\)
\(684\) 4.16641 + 4.16641i 0.159307 + 0.159307i
\(685\) 18.7211 10.8087i 0.715298 0.412977i
\(686\) 26.8184 15.6315i 1.02393 0.596813i
\(687\) −1.18712 4.43039i −0.0452914 0.169030i
\(688\) 4.29078i 0.163585i
\(689\) 10.1810 + 20.4042i 0.387864 + 0.777340i
\(690\) −6.42261 −0.244504
\(691\) 11.6421 + 43.4491i 0.442888 + 1.65288i 0.721453 + 0.692464i \(0.243475\pi\)
−0.278564 + 0.960418i \(0.589859\pi\)
\(692\) −6.67003 3.85094i −0.253556 0.146391i
\(693\) 2.31258 + 6.32669i 0.0878477 + 0.240331i
\(694\) −5.60257 5.60257i −0.212671 0.212671i
\(695\) −8.47670 + 31.6355i −0.321540 + 1.20000i
\(696\) 2.40950 8.99236i 0.0913317 0.340855i
\(697\) 14.4897 14.4897i 0.548838 0.548838i
\(698\) −33.7142 + 19.4649i −1.27610 + 0.736758i
\(699\) 7.39940 12.8161i 0.279871 0.484751i
\(700\) −2.04510 + 0.181757i −0.0772977 + 0.00686978i
\(701\) 38.7293i 1.46279i −0.681956 0.731393i \(-0.738871\pi\)
0.681956 0.731393i \(-0.261129\pi\)
\(702\) −16.1407 + 14.2888i −0.609190 + 0.539298i
\(703\) 13.4670i 0.507919i
\(704\) 2.53525 0.679319i 0.0955510 0.0256028i
\(705\) −3.40726 1.96718i −0.128325 0.0740884i
\(706\) −11.0210 19.0889i −0.414780 0.718420i
\(707\) −12.1586 17.3136i −0.457272 0.651144i
\(708\) −0.0679660 + 0.253653i −0.00255432 + 0.00953285i
\(709\) −28.4986 7.63617i −1.07029 0.286782i −0.319675 0.947527i \(-0.603574\pi\)
−0.750611 + 0.660745i \(0.770241\pi\)
\(710\) 27.7187 + 27.7187i 1.04026 + 1.04026i
\(711\) 15.0446 + 26.0580i 0.564215 + 0.977250i
\(712\) −8.00915 + 13.8723i −0.300156 + 0.519885i
\(713\) 24.9490 6.68507i 0.934348 0.250358i
\(714\) −16.6747 2.91657i −0.624036 0.109150i
\(715\) −0.432246 + 7.10276i −0.0161651 + 0.265628i
\(716\) −4.86122 −0.181672
\(717\) 0.647313 + 2.41580i 0.0241743 + 0.0902198i
\(718\) 7.87793 13.6450i 0.294002 0.509226i
\(719\) 4.23114 + 7.32855i 0.157795 + 0.273309i 0.934073 0.357082i \(-0.116228\pi\)
−0.776278 + 0.630390i \(0.782895\pi\)
\(720\) 18.2970 18.2970i 0.681888 0.681888i
\(721\) 11.5259 24.8063i 0.429246 0.923836i
\(722\) −17.9981 4.82258i −0.669820 0.179478i
\(723\) 1.43811 1.43811i 0.0534840 0.0534840i
\(724\) 4.24676 2.45187i 0.157830 0.0911229i
\(725\) 6.07418 + 3.50693i 0.225589 + 0.130244i
\(726\) −10.3623 + 2.77656i −0.384580 + 0.103048i
\(727\) 3.27056 0.121299 0.0606493 0.998159i \(-0.480683\pi\)
0.0606493 + 0.998159i \(0.480683\pi\)
\(728\) 13.0821 13.8322i 0.484856 0.512654i
\(729\) 7.45103 0.275964
\(730\) 4.74076 1.27028i 0.175463 0.0470153i
\(731\) 4.48103 + 2.58712i 0.165737 + 0.0956882i
\(732\) 5.82309 3.36196i 0.215228 0.124262i
\(733\) 9.76212 9.76212i 0.360572 0.360572i −0.503451 0.864023i \(-0.667937\pi\)
0.864023 + 0.503451i \(0.167937\pi\)
\(734\) −11.8502 3.17526i −0.437400 0.117201i
\(735\) 7.36535 + 5.12715i 0.271675 + 0.189118i
\(736\) −9.14692 + 9.14692i −0.337160 + 0.337160i
\(737\) −0.420703 0.728680i −0.0154968 0.0268413i
\(738\) 7.44014 12.8867i 0.273875 0.474366i
\(739\) 11.0030 + 41.0638i 0.404753 + 1.51056i 0.804512 + 0.593937i \(0.202427\pi\)
−0.399759 + 0.916620i \(0.630906\pi\)
\(740\) −7.80292 −0.286841
\(741\) −2.04666 + 6.12305i −0.0751861 + 0.224936i
\(742\) −4.83212 + 27.6264i −0.177393 + 1.01420i
\(743\) −47.1919 + 12.6450i −1.73130 + 0.463901i −0.980482 0.196606i \(-0.937008\pi\)
−0.750820 + 0.660507i \(0.770341\pi\)
\(744\) 5.49953 9.52547i 0.201623 0.349221i
\(745\) −18.8021 32.5663i −0.688857 1.19314i
\(746\) 1.28606 + 1.28606i 0.0470858 + 0.0470858i
\(747\) −4.38484 1.17491i −0.160433 0.0429879i
\(748\) 1.23083 4.59352i 0.0450036 0.167956i
\(749\) −19.8456 28.2597i −0.725142 1.03259i
\(750\) −6.40223 11.0890i −0.233776 0.404913i
\(751\) −9.96838 5.75525i −0.363751 0.210012i 0.306974 0.951718i \(-0.400684\pi\)
−0.670725 + 0.741706i \(0.734017\pi\)
\(752\) −14.7136 + 3.94250i −0.536550 + 0.143768i
\(753\) 7.52157i 0.274101i
\(754\) 43.3109 8.82548i 1.57729 0.321405i
\(755\) 0.0732428i 0.00266558i
\(756\) −7.60745 + 0.676108i −0.276680 + 0.0245898i
\(757\) −8.97468 + 15.5446i −0.326190 + 0.564978i −0.981753 0.190163i \(-0.939098\pi\)
0.655562 + 0.755141i \(0.272432\pi\)
\(758\) −37.8230 + 21.8371i −1.37379 + 0.793160i
\(759\) 1.32332 1.32332i 0.0480334 0.0480334i
\(760\) 2.91545 10.8806i 0.105754 0.394681i
\(761\) −2.86608 + 10.6964i −0.103895 + 0.387743i −0.998218 0.0596806i \(-0.980992\pi\)
0.894322 + 0.447424i \(0.147658\pi\)
\(762\) −5.95100 5.95100i −0.215582 0.215582i
\(763\) 29.0984 10.6363i 1.05343 0.385060i
\(764\) −15.1571 8.75096i −0.548365 0.316599i
\(765\) 8.07610 + 30.1404i 0.291992 + 1.08973i
\(766\) −8.93422 −0.322806
\(767\) 1.79763 0.366304i 0.0649087 0.0132265i
\(768\) 10.6320i 0.383648i
\(769\) −2.87361 10.7245i −0.103625 0.386734i 0.894561 0.446947i \(-0.147489\pi\)
−0.998186 + 0.0602130i \(0.980822\pi\)
\(770\) −5.61639 + 6.71207i −0.202401 + 0.241886i
\(771\) 9.21820 5.32213i 0.331986 0.191672i
\(772\) 5.54545 + 5.54545i 0.199585 + 0.199585i
\(773\) 2.67962 + 0.718001i 0.0963792 + 0.0258247i 0.306686 0.951811i \(-0.400780\pi\)
−0.210307 + 0.977635i \(0.567446\pi\)
\(774\) 3.62933