Properties

Label 91.2.bc.a.20.8
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 20.8
Character \(\chi\) \(=\) 91.20
Dual form 91.2.bc.a.41.8

$q$-expansion

\(f(q)\) \(=\) \(q+(1.61897 - 0.433802i) q^{2} +(0.552306 + 0.318874i) q^{3} +(0.700831 - 0.404625i) q^{4} +(-1.42145 + 1.42145i) q^{5} +(1.03250 + 0.276656i) q^{6} +(0.234216 - 2.63536i) q^{7} +(-1.41124 + 1.41124i) q^{8} +(-1.29664 - 2.24584i) q^{9} +O(q^{10})\) \(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} +(0.234216 - 2.63536i) 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} +(0.969709 - 1.38084i) 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} +(-0.902188 - 1.94172i) 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} +(3.41312 + 4.07897i) 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} +(0.970918 - 2.65621i) 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} +(-6.89029 - 1.23449i) 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} +(3.38859 + 4.04966i) 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} +(-6.22231 + 2.89110i) 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} +(7.29521 + 5.12312i) 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} +(0.120879 - 1.36011i) 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} +(-8.87935 + 3.48670i) 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} +(-11.6907 + 0.990414i) 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 0.650891 0.759171i \(-0.274396\pi\)
−0.332016 + 0.943274i \(0.607729\pi\)
\(4\) 0.700831 0.404625i 0.350416 0.202313i
\(5\) −1.42145 + 1.42145i −0.635693 + 0.635693i −0.949490 0.313797i \(-0.898399\pi\)
0.313797 + 0.949490i \(0.398399\pi\)
\(6\) 1.03250 + 0.276656i 0.421515 + 0.112945i
\(7\) 0.234216 2.63536i 0.0885255 0.996074i
\(8\) −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 \(0.0918925\pi\)
−0.232755 + 0.972535i \(0.574774\pi\)
\(18\) −3.07347 3.07347i −0.724424 0.724424i
\(19\) 2.71200 + 0.726678i 0.622175 + 0.166711i 0.556116 0.831104i \(-0.312291\pi\)
0.0660587 + 0.997816i \(0.478958\pi\)
\(20\) −0.421043 + 1.57135i −0.0941481 + 0.351366i
\(21\) 0.969709 1.38084i 0.211608 0.301325i
\(22\) 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
\(28\) −0.902188 1.94172i −0.170498 0.366950i
\(29\) 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 \(0.532771\pi\)
−0.994705 + 0.102770i \(0.967229\pi\)
\(32\) −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
\(35\) 3.41312 + 4.07897i 0.576922 + 0.689472i
\(36\) −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 \(-0.997193\pi\)
0.861582 0.507619i \(-0.169474\pi\)
\(42\) 0.970918 2.65621i 0.149816 0.409861i
\(43\) −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 0.530903 0.847432i \(-0.321853\pi\)
−0.847432 + 0.530903i \(0.821853\pi\)
\(48\) −2.74144 + 1.58277i −0.395692 + 0.228453i
\(49\) −6.89029 1.23449i −0.984326 0.176356i
\(50\) 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
\(56\) 3.38859 + 4.04966i 0.452820 + 0.541159i
\(57\) 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 −0.973968 0.226684i \(-0.927211\pi\)
0.956823 + 0.290670i \(0.0938781\pi\)
\(60\) −0.733609 + 0.733609i −0.0947086 + 0.0947086i
\(61\) 11.2829 6.51419i 1.44463 0.834057i 0.446475 0.894796i \(-0.352679\pi\)
0.998154 + 0.0607392i \(0.0193458\pi\)
\(62\) −7.24196 + 12.5434i −0.919729 + 1.59302i
\(63\) −6.22231 + 2.89110i −0.783937 + 0.364244i
\(64\) 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
\(70\) 7.29521 + 5.12312i 0.871944 + 0.612330i
\(71\) −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 0.644255 0.764810i \(-0.277167\pi\)
−0.764810 + 0.644255i \(0.777167\pi\)
\(74\) −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 −0.771768 0.635904i \(-0.780628\pi\)
0.635904 + 0.771768i \(0.280628\pi\)
\(84\) 0.120879 1.36011i 0.0131889 0.148400i
\(85\) −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 −0.645120 0.764082i \(-0.723193\pi\)
−0.176649 + 0.984274i \(0.556526\pi\)
\(90\) 8.73759 0.921023
\(91\) −8.87935 + 3.48670i −0.930809 + 0.365506i
\(92\) 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 −0.413037 0.910714i \(-0.635532\pi\)
−0.813058 + 0.582183i \(0.802199\pi\)
\(98\) −11.6907 + 0.990414i −1.18094 + 0.100047i
\(99\) 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 −0.595625 0.803263i \(-0.703096\pi\)
0.993458 + 0.114195i \(0.0364289\pi\)
\(102\) 1.65596 + 6.18013i 0.163964 + 0.611924i
\(103\) 10.3386 1.01869 0.509344 0.860563i \(-0.329888\pi\)
0.509344 + 0.860563i \(0.329888\pi\)
\(104\) 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
\(112\) 10.7471 + 7.54727i 1.01551 + 0.713150i
\(113\) 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
\(119\) 14.3619 6.67303i 1.31655 0.611716i
\(120\) 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
\(126\) −8.81957 + 7.37986i −0.785710 + 0.657450i
\(127\) 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 \(0.337141\pi\)
−0.489604 + 0.871945i \(0.662859\pi\)
\(132\) 0.131141 + 0.489425i 0.0114144 + 0.0425990i
\(133\) 2.55025 6.97690i 0.221135 0.604974i
\(134\) −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 0.236927 0.971527i \(-0.423860\pi\)
0.959831 + 0.280579i \(0.0905264\pi\)
\(140\) 4.04248 + 1.47764i 0.341652 + 0.124883i
\(141\) −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
\(147\) −3.41190 2.87895i −0.281409 0.237452i
\(148\) −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
\(154\) 3.94828 1.83451i 0.318162 0.147829i
\(155\) 17.3715i 1.39532i
\(156\) −0.830802 1.66506i −0.0665174 0.133311i
\(157\) 7.18863i 0.573716i 0.957973 + 0.286858i \(0.0926107\pi\)
−0.957973 + 0.286858i \(0.907389\pi\)
\(158\) −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
\(161\) 4.54476 6.47163i 0.358177 0.510036i
\(162\) −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 −0.501150 0.865361i \(-0.667089\pi\)
−0.00132801 + 0.999999i \(0.500423\pi\)
\(168\) 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 0.988256 0.152807i \(-0.0488312\pi\)
−0.626462 + 0.779452i \(0.715498\pi\)
\(174\) 5.52834 5.52834i 0.419102 0.419102i
\(175\) 2.52716 + 0.224600i 0.191035 + 0.0169781i
\(176\) −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 \(-0.572305\pi\)
−0.225203 + 0.974312i \(0.572305\pi\)
\(182\) −12.8629 + 9.49675i −0.953460 + 0.703946i
\(183\) 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
\(189\) −9.40062 0.835474i −0.683794 0.0607718i
\(190\) −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 \(-0.889810\pi\)
0.176496 0.984301i \(-0.443524\pi\)
\(200\) −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
\(203\) −15.8365 11.1213i −1.11151 0.780564i
\(204\) 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
\(210\) 2.39556 + 5.15579i 0.165309 + 0.355783i
\(211\) 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
\(217\) 14.6722 + 17.5345i 0.996012 + 1.19032i
\(218\) −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 \(0.170166\pi\)
−0.490450 + 0.871469i \(0.663168\pi\)
\(224\) 10.7544 + 3.93105i 0.718561 + 0.262654i
\(225\) 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 0.664615 0.747186i \(-0.268596\pi\)
0.201980 + 0.979390i \(0.435262\pi\)
\(228\) 1.39966 + 0.375037i 0.0926946 + 0.0248374i
\(229\) −5.08550 5.08550i −0.336059 0.336059i 0.518823 0.854882i \(-0.326371\pi\)
−0.854882 + 0.518823i \(0.826371\pi\)
\(230\) −8.72153 + 5.03538i −0.575081 + 0.332023i
\(231\) 1.55588 + 0.568719i 0.102370 + 0.0374190i
\(232\) 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
\(238\) 20.3567 17.0337i 1.31953 1.10413i
\(239\) −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 −0.934233 0.356662i \(-0.883915\pi\)
0.987401 + 0.158238i \(0.0505814\pi\)
\(242\) 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
\(245\) 11.5490 8.03945i 0.737838 0.513621i
\(246\) 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 0.989906 0.141727i \(-0.0452656\pi\)
−0.617692 + 0.786420i \(0.711932\pi\)
\(252\) −3.19098 + 4.54388i −0.201013 + 0.286237i
\(253\) −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 \(-0.659057\pi\)
0.999714 0.0239041i \(-0.00760964\pi\)
\(258\) −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
\(266\) 1.10219 12.4017i 0.0675799 0.760397i
\(267\) −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 −0.491564 0.870841i \(-0.663575\pi\)
0.508389 + 0.861128i \(0.330241\pi\)
\(270\) 10.4085 + 6.00936i 0.633443 + 0.365718i
\(271\) 25.9248 6.94654i 1.57482 0.421972i 0.637504 0.770447i \(-0.279967\pi\)
0.937318 + 0.348475i \(0.113300\pi\)
\(272\) −29.7103 −1.80145
\(273\) −6.01594 0.905668i −0.364101 0.0548135i
\(274\) 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
\(280\) −10.5731 0.939681i −0.631866 0.0561567i
\(281\) 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 −0.891433 0.453153i \(-0.850299\pi\)
0.838158 + 0.545427i \(0.183633\pi\)
\(284\) 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 \(0.365015\pi\)
−0.812055 + 0.583580i \(0.801651\pi\)
\(294\) −6.77266 3.18085i −0.394990 0.185511i
\(295\) −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
\(301\) 0.963724 + 2.07415i 0.0555481 + 0.119552i
\(302\) −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 0.749876 0.661578i \(-0.230113\pi\)
−0.661578 + 0.749876i \(0.730113\pi\)
\(308\) 1.61212 1.34895i 0.0918589 0.0768638i
\(309\) 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 \(-0.812632\pi\)
−0.831699 + 0.555226i \(0.812632\pi\)
\(312\) 3.04194 + 3.43618i 0.172216 + 0.194535i
\(313\) 27.9847i 1.58179i −0.611954 0.790893i \(-0.709616\pi\)
0.611954 0.790893i \(-0.290384\pi\)
\(314\) 3.11844 + 11.6382i 0.175984 + 0.656781i
\(315\) 4.73516 12.9543i 0.266796 0.729891i
\(316\) −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
\(322\) 4.55043 12.4489i 0.253585 0.693751i
\(323\) 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
\(329\) −6.22703 + 5.21052i −0.343307 + 0.287265i
\(330\) −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
\(336\) 3.52908 + 7.59539i 0.192527 + 0.414363i
\(337\) 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
\(343\) −4.86715 + 17.8693i −0.262801 + 0.964850i
\(344\) 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 0.397734 0.917501i \(-0.369797\pi\)
0.803198 + 0.595712i \(0.203130\pi\)
\(350\) 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 \(0.0304767\pi\)
−0.814259 + 0.580501i \(0.802857\pi\)
\(354\) −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
\(357\) 10.0600 + 0.894078i 0.532433 + 0.0473196i
\(358\) −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
\(364\) −4.81212 + 6.03640i −0.252224 + 0.316393i
\(365\) 2.92826 0.153272
\(366\) 13.4518 3.60439i 0.703135 0.188404i
\(367\) 6.33897 + 3.65981i 0.330892 + 0.191040i 0.656237 0.754555i \(-0.272147\pi\)
−0.325345 + 0.945595i \(0.605481\pi\)
\(368\) −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
\(371\) 1.48129 16.6673i 0.0769049 0.865321i
\(372\) −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 0.387953 0.921679i \(-0.373182\pi\)
−0.124862 + 0.992174i \(0.539849\pi\)
\(384\) 2.16834 8.09234i 0.110652 0.412961i
\(385\) −3.00089 + 4.27320i −0.152939 + 0.217782i
\(386\) 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
\(392\) 11.4660 7.98168i 0.579121 0.403136i
\(393\) −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 −0.969719 0.244225i \(-0.921466\pi\)
0.961914 + 0.273354i \(0.0881330\pi\)
\(398\) −25.5525 25.5525i −1.28083 1.28083i
\(399\) 3.63328 3.04018i 0.181891 0.152199i
\(400\) −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
\(406\) −30.4633 11.1352i −1.51187 0.552631i
\(407\) 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 −0.0292657 0.999572i \(-0.509317\pi\)
−0.525131 + 0.851022i \(0.675984\pi\)
\(410\) 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
\(413\) 1.26439 + 0.462169i 0.0622164 + 0.0227419i
\(414\) −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 \(0.00516982\pi\)
0.513999 + 0.857791i \(0.328164\pi\)
\(420\) 1.76150 + 2.10515i 0.0859526 + 0.102721i
\(421\) −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
\(427\) −14.5246 31.2603i −0.702896 1.51279i
\(428\) 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 0.569248 0.822166i \(-0.307235\pi\)
−0.996641 + 0.0818999i \(0.973901\pi\)
\(434\) 31.3603 + 22.0231i 1.50534 + 1.05714i
\(435\) −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 \(0.405800\pi\)
−0.974197 + 0.225698i \(0.927534\pi\)
\(440\) 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
\(448\) −7.04544 0.626159i −0.332866 0.0295832i
\(449\) 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
\(455\) 7.66540 17.5778i 0.359359 0.824059i
\(456\) −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 −0.586112 0.810230i \(-0.699342\pi\)
−0.912703 + 0.408623i \(0.866009\pi\)
\(462\) 2.76564 + 0.245795i 0.128669 + 0.0114354i
\(463\) 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 \(-0.542231\pi\)
−0.132283 + 0.991212i \(0.542231\pi\)
\(468\) −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
\(476\) 7.36519 10.4879i 0.337583 0.480710i
\(477\) −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 −0.903196 0.429229i \(-0.858785\pi\)
−0.567576 + 0.823321i \(0.692119\pi\)
\(480\) 5.54840i 0.253249i
\(481\) −12.9490 + 11.4634i −0.590425 + 0.522685i
\(482\) 5.34507i 0.243461i
\(483\) 4.57374 2.12512i 0.208112 0.0966962i
\(484\) 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
\(490\) 15.2099 18.0256i 0.687115 0.814314i
\(491\) −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
\(497\) 28.9109 + 10.5678i 1.29683 + 0.474029i
\(498\) −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 −0.479417 0.877587i \(-0.659152\pi\)
0.520305 + 0.853981i \(0.325818\pi\)
\(504\) 4.70113 12.8612i 0.209405 0.572884i
\(505\) 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 0.870963 0.491348i \(-0.163496\pi\)
−0.999950 + 0.00996149i \(0.996829\pi\)
\(510\) −11.1386 6.43089i −0.493227 0.284765i
\(511\) −2.95573 + 2.47323i −0.130754 + 0.109409i
\(512\) −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
\(518\) −19.2897 + 8.96264i −0.847539 + 0.393796i
\(519\) 6.06965i 0.266428i
\(520\) −12.9437 + 6.45845i −0.567621 + 0.283222i
\(521\) 16.9175i 0.741168i 0.928799 + 0.370584i \(0.120843\pi\)
−0.928799 + 0.370584i \(0.879157\pi\)
\(522\) −30.7081 + 8.22821i −1.34406 + 0.360139i
\(523\) 0.268849 + 0.155220i 0.0117560 + 0.00678731i 0.505866 0.862612i \(-0.331173\pi\)
−0.494111 + 0.869399i \(0.664506\pi\)
\(524\) 8.07621 + 13.9884i 0.352811 + 0.611086i
\(525\) 1.32415 + 0.929894i 0.0577905 + 0.0405839i
\(526\) −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
\(539\) −0.580139 6.84787i −0.0249884 0.294959i
\(540\) 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
\(546\) −10.1325 + 1.14348i −0.433632 + 0.0489363i
\(547\) −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
\(553\) −2.71755 + 30.5775i −0.115562 + 1.30029i
\(554\) −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 0.526580 0.850125i \(-0.323474\pi\)
−0.999520 + 0.0309690i \(0.990141\pi\)
\(564\) −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
\(567\) 11.9192 + 8.37033i 0.500557 + 0.351521i
\(568\) −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
\(574\) −13.7678 + 6.39700i −0.574657 + 0.267006i
\(575\) −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 −0.462157 0.886798i \(-0.652924\pi\)
0.886798 + 0.462157i \(0.152924\pi\)
\(578\) −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
\(581\) 2.97211 + 3.55193i 0.123304 + 0.147359i
\(582\) −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 \(-0.953595\pi\)
0.784205 0.620502i \(-0.213071\pi\)
\(588\) −3.55606 0.637118i −0.146650 0.0262743i
\(589\) −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 0.668283 0.743907i \(-0.267029\pi\)
−0.743907 + 0.668283i \(0.767029\pi\)
\(594\) 5.08337 2.93489i 0.208573 0.120420i
\(595\) −10.9294 + 29.9002i −0.448060 + 1.22579i
\(596\) −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 0.154639 0.987971i \(-0.450578\pi\)
−0.778288 + 0.627907i \(0.783912\pi\)
\(602\) 2.46001 + 2.93993i 0.100263 + 0.119823i
\(603\) 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 −0.211097 0.977465i \(-0.567704\pi\)
0.740961 + 0.671548i \(0.234370\pi\)
\(608\) −6.07556 + 10.5232i −0.246397 + 0.426771i
\(609\) −5.20030 11.1922i −0.210727 0.453532i
\(610\) 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
\(616\) −2.97933 + 4.24249i −0.120040 + 0.170935i
\(617\) 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 0.810948 0.585118i \(-0.198952\pi\)
−0.585118 + 0.810948i \(0.698952\pi\)
\(620\) −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
\(630\) 2.04649 23.0267i 0.0815340 0.917407i
\(631\) 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
\(637\) 7.10904 + 24.2170i 0.281670 + 0.959511i
\(638\) 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 0.647211 0.762311i \(-0.275935\pi\)
0.179345 + 0.983786i \(0.442602\pi\)
\(644\) 0.566525 6.37445i 0.0223242 0.251188i
\(645\) 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 \(0.446038\pi\)
−0.937969 + 0.346720i \(0.887296\pi\)
\(648\) −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
\(658\) −7.82104 + 11.1370i −0.304896 + 0.434165i
\(659\) 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 0.677889 0.735164i \(-0.262895\pi\)
0.954651 + 0.297726i \(0.0962282\pi\)
\(662\) 27.2903i 1.06067i
\(663\) 12.3156 6.14502i 0.478298 0.238653i
\(664\) 3.49363i 0.135579i
\(665\) 6.29227 + 13.5424i 0.244004 + 0.525152i
\(666\) −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
\(672\) 4.68624 + 5.60046i 0.180775 + 0.216042i
\(673\) 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 \(-0.868668\pi\)
0.916084 0.400985i \(-0.131332\pi\)
\(678\) 2.24506 + 8.37867i 0.0862209 + 0.321781i
\(679\) −11.3554 + 31.0658i −0.435782 + 1.19220i
\(680\) 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
\(686\) −0.128050 + 31.0412i −0.00488897 + 1.18516i
\(687\) −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 \(-0.756525\pi\)
0.278564 0.960418i \(-0.410141\pi\)
\(692\) 6.67003 + 3.85094i 0.253556 + 0.146391i
\(693\) −4.32278 5.16610i −0.164209 0.196244i
\(694\) −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
\(700\) 1.86199 0.865146i 0.0703766 0.0326994i
\(701\) 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
\(707\) −17.3136 12.1586i −0.651144 0.457272i
\(708\) −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 0.776278 0.630390i \(-0.217105\pi\)
−0.934073 + 0.357082i \(0.883772\pi\)
\(720\) −18.2970 + 18.2970i −0.681888 + 0.681888i
\(721\) 2.42146 27.2459i 0.0901799 1.01469i
\(722\) −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 \(-0.519317\pi\)
−0.0606493 + 0.998159i \(0.519317\pi\)
\(728\) 7.61032 17.4515i 0.282057 0.646794i
\(729\) 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 −0.864023 0.503451i \(-0.832063\pi\)
0.503451 + 0.864023i \(0.332063\pi\)
\(734\) 11.8502 + 3.17526i 0.437400 + 0.117201i
\(735\) 8.94215 0.757563i 0.329836 0.0279431i
\(736\) −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
\(749\) 28.2597 + 19.8456i 1.03259 + 0.725142i
\(750\) −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
\(756\) −6.92630 + 3.21820i −0.251907 + 0.117045i
\(757\) −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 −0.894322 0.447424i \(-0.852342\pi\)
0.998218 + 0.0596806i \(0.0190082\pi\)
\(762\) 5.95100 + 5.95100i 0.215582 + 0.215582i
\(763\) −23.7605 + 19.8818i −0.860188 + 0.719770i
\(764\) −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 0.998186 0.0602130i \(-0.0191780\pi\)
−0.894561 + 0.446947i \(0.852511\pi\)
\(770\) −3.00463 + 8.21997i −0.108279 + 0.296227i
\(771\) 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 0.210307 0.977635i \(-0.432554\pi\)
−0.306686 + 0.951811i \(0.599220\pi\)
\(774\) 3.62933