Properties

Label 483.2.bf.a.61.12
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.12
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.929110 - 0.730660i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(-0.142137 - 0.585896i) q^{4} +(-3.37356 + 0.650200i) q^{5} +(0.333006 + 1.13411i) q^{6} +(2.36979 + 1.17647i) q^{7} +(-1.27807 + 2.79857i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(-0.929110 - 0.730660i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(-0.142137 - 0.585896i) q^{4} +(-3.37356 + 0.650200i) q^{5} +(0.333006 + 1.13411i) q^{6} +(2.36979 + 1.17647i) q^{7} +(-1.27807 + 2.79857i) q^{8} +(0.327068 + 0.945001i) q^{9} +(3.60948 + 1.86082i) q^{10} +(-2.39072 - 3.04005i) q^{11} +(-0.224072 + 0.559704i) q^{12} +(1.88551 + 2.93391i) q^{13} +(-1.34220 - 2.82458i) q^{14} +(3.12517 + 1.42722i) q^{15} +(2.16053 - 1.11383i) q^{16} +(1.19842 + 1.14269i) q^{17} +(0.386592 - 1.11699i) q^{18} +(-1.99478 + 1.90202i) q^{19} +(0.860457 + 1.88414i) q^{20} +(-1.24796 - 2.33294i) q^{21} +4.57134i q^{22} +(4.73168 - 0.781824i) q^{23} +(2.66441 - 1.53830i) q^{24} +(6.31630 - 2.52866i) q^{25} +(0.391845 - 4.10359i) q^{26} +(0.281733 - 0.959493i) q^{27} +(0.352454 - 1.55567i) q^{28} +(4.78405 - 1.40472i) q^{29} +(-1.86082 - 3.60948i) q^{30} +(-0.359307 - 3.76283i) q^{31} +(3.22081 + 0.620759i) q^{32} +(0.184022 + 3.86310i) q^{33} +(-0.278545 - 1.93733i) q^{34} +(-8.75958 - 2.42805i) q^{35} +(0.507184 - 0.325947i) q^{36} +(2.75219 - 0.952544i) q^{37} +(3.24311 - 0.309679i) q^{38} +(0.165944 - 3.48359i) q^{39} +(2.49200 - 10.2722i) q^{40} +(-0.0864582 + 0.0749165i) q^{41} +(-0.545096 + 3.07939i) q^{42} +(-3.62491 + 1.65544i) q^{43} +(-1.44134 + 1.83282i) q^{44} +(-1.71782 - 2.97536i) q^{45} +(-4.96749 - 2.73085i) q^{46} +(7.77973 + 4.49163i) q^{47} +(-2.40600 - 0.345931i) q^{48} +(4.23184 + 5.57598i) q^{49} +(-7.71613 - 2.26566i) q^{50} +(-0.313379 - 1.62596i) q^{51} +(1.45096 - 1.52173i) q^{52} +(3.77376 + 0.179766i) q^{53} +(-0.962824 + 0.685624i) q^{54} +(10.0419 + 8.70133i) q^{55} +(-6.32119 + 5.12844i) q^{56} +(2.72818 - 0.392254i) q^{57} +(-5.47129 - 2.19037i) q^{58} +(-2.01424 + 3.90709i) q^{59} +(0.392000 - 2.03389i) q^{60} +(6.69002 + 9.39481i) q^{61} +(-2.41552 + 3.75862i) q^{62} +(-0.336682 + 2.62424i) q^{63} +(-5.72251 - 6.60413i) q^{64} +(-8.26850 - 8.67175i) q^{65} +(2.65164 - 3.72370i) q^{66} +(-3.13630 - 7.83410i) q^{67} +(0.499159 - 0.864569i) q^{68} +(-4.30781 - 2.10779i) q^{69} +(6.36453 + 8.65620i) q^{70} +(-2.25534 + 15.6862i) q^{71} +(-3.06267 - 0.292449i) q^{72} +(-0.107414 + 0.0260584i) q^{73} +(-3.25308 - 1.12590i) q^{74} +(-6.61188 - 1.60402i) q^{75} +(1.39792 + 0.898389i) q^{76} +(-2.08898 - 10.0169i) q^{77} +(-2.69950 + 3.11539i) q^{78} +(6.52841 - 0.310986i) q^{79} +(-6.56446 + 5.16235i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(0.135068 - 0.00643406i) q^{82} +(-1.35573 + 1.56460i) q^{83} +(-1.18948 + 1.06277i) q^{84} +(-4.78592 - 3.07573i) q^{85} +(4.57751 + 1.11049i) q^{86} +(-4.71179 - 1.63077i) q^{87} +(11.5633 - 2.80522i) q^{88} +(13.3872 + 1.27832i) q^{89} +(-0.577928 + 4.01958i) q^{90} +(1.01661 + 9.17099i) q^{91} +(-1.13061 - 2.66114i) q^{92} +(-1.88997 + 3.27353i) q^{93} +(-3.94637 - 9.85756i) q^{94} +(5.49283 - 7.71360i) q^{95} +(-2.26351 - 2.37391i) q^{96} +(12.5983 + 14.5392i) q^{97} +(0.142306 - 8.27273i) q^{98} +(2.09092 - 3.25353i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.929110 0.730660i −0.656980 0.516655i 0.233104 0.972452i \(-0.425112\pi\)
−0.890084 + 0.455797i \(0.849354\pi\)
\(3\) −0.814576 0.580057i −0.470296 0.334896i
\(4\) −0.142137 0.585896i −0.0710684 0.292948i
\(5\) −3.37356 + 0.650200i −1.50870 + 0.290778i −0.875504 0.483212i \(-0.839470\pi\)
−0.633198 + 0.773990i \(0.718258\pi\)
\(6\) 0.333006 + 1.13411i 0.135949 + 0.463000i
\(7\) 2.36979 + 1.17647i 0.895698 + 0.444664i
\(8\) −1.27807 + 2.79857i −0.451865 + 0.989445i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) 3.60948 + 1.86082i 1.14142 + 0.588442i
\(11\) −2.39072 3.04005i −0.720829 0.916608i 0.278207 0.960521i \(-0.410260\pi\)
−0.999035 + 0.0439128i \(0.986018\pi\)
\(12\) −0.224072 + 0.559704i −0.0646840 + 0.161573i
\(13\) 1.88551 + 2.93391i 0.522946 + 0.813719i 0.997797 0.0663469i \(-0.0211344\pi\)
−0.474851 + 0.880066i \(0.657498\pi\)
\(14\) −1.34220 2.82458i −0.358718 0.754902i
\(15\) 3.12517 + 1.42722i 0.806916 + 0.368506i
\(16\) 2.16053 1.11383i 0.540132 0.278458i
\(17\) 1.19842 + 1.14269i 0.290660 + 0.277144i 0.821353 0.570421i \(-0.193220\pi\)
−0.530693 + 0.847564i \(0.678068\pi\)
\(18\) 0.386592 1.11699i 0.0911207 0.263276i
\(19\) −1.99478 + 1.90202i −0.457635 + 0.436354i −0.883499 0.468433i \(-0.844819\pi\)
0.425864 + 0.904787i \(0.359970\pi\)
\(20\) 0.860457 + 1.88414i 0.192404 + 0.421306i
\(21\) −1.24796 2.33294i −0.272326 0.509089i
\(22\) 4.57134i 0.974613i
\(23\) 4.73168 0.781824i 0.986622 0.163022i
\(24\) 2.66441 1.53830i 0.543871 0.314004i
\(25\) 6.31630 2.52866i 1.26326 0.505733i
\(26\) 0.391845 4.10359i 0.0768471 0.804780i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) 0.352454 1.55567i 0.0666076 0.293994i
\(29\) 4.78405 1.40472i 0.888376 0.260851i 0.194463 0.980910i \(-0.437703\pi\)
0.693913 + 0.720059i \(0.255885\pi\)
\(30\) −1.86082 3.60948i −0.339737 0.658998i
\(31\) −0.359307 3.76283i −0.0645334 0.675825i −0.968632 0.248500i \(-0.920062\pi\)
0.904098 0.427324i \(-0.140544\pi\)
\(32\) 3.22081 + 0.620759i 0.569363 + 0.109736i
\(33\) 0.184022 + 3.86310i 0.0320342 + 0.672480i
\(34\) −0.278545 1.93733i −0.0477701 0.332249i
\(35\) −8.75958 2.42805i −1.48064 0.410416i
\(36\) 0.507184 0.325947i 0.0845307 0.0543246i
\(37\) 2.75219 0.952544i 0.452458 0.156597i −0.0913286 0.995821i \(-0.529111\pi\)
0.543786 + 0.839224i \(0.316990\pi\)
\(38\) 3.24311 0.309679i 0.526101 0.0502366i
\(39\) 0.165944 3.48359i 0.0265723 0.557821i
\(40\) 2.49200 10.2722i 0.394019 1.62417i
\(41\) −0.0864582 + 0.0749165i −0.0135025 + 0.0117000i −0.661586 0.749869i \(-0.730116\pi\)
0.648083 + 0.761569i \(0.275571\pi\)
\(42\) −0.545096 + 3.07939i −0.0841102 + 0.475160i
\(43\) −3.62491 + 1.65544i −0.552794 + 0.252453i −0.672170 0.740396i \(-0.734638\pi\)
0.119376 + 0.992849i \(0.461911\pi\)
\(44\) −1.44134 + 1.83282i −0.217291 + 0.276307i
\(45\) −1.71782 2.97536i −0.256078 0.443540i
\(46\) −4.96749 2.73085i −0.732417 0.402641i
\(47\) 7.77973 + 4.49163i 1.13479 + 0.655172i 0.945135 0.326679i \(-0.105930\pi\)
0.189655 + 0.981851i \(0.439263\pi\)
\(48\) −2.40600 0.345931i −0.347276 0.0499308i
\(49\) 4.23184 + 5.57598i 0.604548 + 0.796569i
\(50\) −7.71613 2.26566i −1.09123 0.320413i
\(51\) −0.313379 1.62596i −0.0438818 0.227680i
\(52\) 1.45096 1.52173i 0.201213 0.211026i
\(53\) 3.77376 + 0.179766i 0.518366 + 0.0246928i 0.305135 0.952309i \(-0.401298\pi\)
0.213231 + 0.977002i \(0.431601\pi\)
\(54\) −0.962824 + 0.685624i −0.131024 + 0.0933016i
\(55\) 10.0419 + 8.70133i 1.35405 + 1.17329i
\(56\) −6.32119 + 5.12844i −0.844705 + 0.685316i
\(57\) 2.72818 0.392254i 0.361357 0.0519553i
\(58\) −5.47129 2.19037i −0.718415 0.287610i
\(59\) −2.01424 + 3.90709i −0.262232 + 0.508659i −0.982788 0.184738i \(-0.940856\pi\)
0.720556 + 0.693397i \(0.243887\pi\)
\(60\) 0.392000 2.03389i 0.0506069 0.262574i
\(61\) 6.69002 + 9.39481i 0.856569 + 1.20288i 0.977650 + 0.210240i \(0.0674245\pi\)
−0.121081 + 0.992643i \(0.538636\pi\)
\(62\) −2.41552 + 3.75862i −0.306771 + 0.477345i
\(63\) −0.336682 + 2.62424i −0.0424179 + 0.330623i
\(64\) −5.72251 6.60413i −0.715314 0.825516i
\(65\) −8.26850 8.67175i −1.02558 1.07560i
\(66\) 2.65164 3.72370i 0.326394 0.458356i
\(67\) −3.13630 7.83410i −0.383160 0.957088i −0.987107 0.160063i \(-0.948830\pi\)
0.603947 0.797025i \(-0.293594\pi\)
\(68\) 0.499159 0.864569i 0.0605320 0.104844i
\(69\) −4.30781 2.10779i −0.518600 0.253748i
\(70\) 6.36453 + 8.65620i 0.760707 + 1.03461i
\(71\) −2.25534 + 15.6862i −0.267660 + 1.86161i 0.202839 + 0.979212i \(0.434983\pi\)
−0.470498 + 0.882401i \(0.655926\pi\)
\(72\) −3.06267 0.292449i −0.360939 0.0344655i
\(73\) −0.107414 + 0.0260584i −0.0125719 + 0.00304991i −0.242040 0.970266i \(-0.577817\pi\)
0.229468 + 0.973316i \(0.426301\pi\)
\(74\) −3.25308 1.12590i −0.378162 0.130883i
\(75\) −6.61188 1.60402i −0.763474 0.185217i
\(76\) 1.39792 + 0.898389i 0.160352 + 0.103052i
\(77\) −2.08898 10.0169i −0.238062 1.14153i
\(78\) −2.69950 + 3.11539i −0.305658 + 0.352749i
\(79\) 6.52841 0.310986i 0.734503 0.0349887i 0.323003 0.946398i \(-0.395308\pi\)
0.411501 + 0.911409i \(0.365005\pi\)
\(80\) −6.56446 + 5.16235i −0.733929 + 0.577168i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) 0.135068 0.00643406i 0.0149157 0.000710524i
\(83\) −1.35573 + 1.56460i −0.148811 + 0.171737i −0.825261 0.564752i \(-0.808972\pi\)
0.676450 + 0.736488i \(0.263517\pi\)
\(84\) −1.18948 + 1.06277i −0.129783 + 0.115958i
\(85\) −4.78592 3.07573i −0.519106 0.333609i
\(86\) 4.57751 + 1.11049i 0.493606 + 0.119747i
\(87\) −4.71179 1.63077i −0.505157 0.174837i
\(88\) 11.5633 2.80522i 1.23265 0.299038i
\(89\) 13.3872 + 1.27832i 1.41904 + 0.135502i 0.776193 0.630496i \(-0.217148\pi\)
0.642844 + 0.765997i \(0.277754\pi\)
\(90\) −0.577928 + 4.01958i −0.0609190 + 0.423701i
\(91\) 1.01661 + 9.17099i 0.106570 + 0.961381i
\(92\) −1.13061 2.66114i −0.117875 0.277444i
\(93\) −1.88997 + 3.27353i −0.195981 + 0.339449i
\(94\) −3.94637 9.85756i −0.407037 1.01673i
\(95\) 5.49283 7.71360i 0.563552 0.791398i
\(96\) −2.26351 2.37391i −0.231019 0.242286i
\(97\) 12.5983 + 14.5392i 1.27916 + 1.47623i 0.801888 + 0.597475i \(0.203829\pi\)
0.477273 + 0.878755i \(0.341625\pi\)
\(98\) 0.142306 8.27273i 0.0143750 0.835672i
\(99\) 2.09092 3.25353i 0.210145 0.326992i
\(100\) −2.37931 3.34128i −0.237931 0.334128i
\(101\) −2.91555 + 15.1273i −0.290108 + 1.50522i 0.485629 + 0.874165i \(0.338591\pi\)
−0.775737 + 0.631057i \(0.782621\pi\)
\(102\) −0.896863 + 1.73967i −0.0888026 + 0.172253i
\(103\) −13.8301 5.53673i −1.36272 0.545550i −0.428917 0.903344i \(-0.641105\pi\)
−0.933801 + 0.357794i \(0.883529\pi\)
\(104\) −10.6206 + 1.52701i −1.04143 + 0.149735i
\(105\) 5.72693 + 7.05889i 0.558891 + 0.688877i
\(106\) −3.37489 2.92436i −0.327798 0.284039i
\(107\) 10.6563 7.58831i 1.03018 0.733590i 0.0657276 0.997838i \(-0.479063\pi\)
0.964455 + 0.264248i \(0.0851238\pi\)
\(108\) −0.602208 0.0286867i −0.0579475 0.00276038i
\(109\) −10.6170 + 11.1348i −1.01692 + 1.06652i −0.0191514 + 0.999817i \(0.506096\pi\)
−0.997773 + 0.0667029i \(0.978752\pi\)
\(110\) −2.97229 15.4217i −0.283396 1.47040i
\(111\) −2.79440 0.820510i −0.265233 0.0778794i
\(112\) 6.43039 0.0977489i 0.607615 0.00923640i
\(113\) −12.1000 1.73972i −1.13828 0.163659i −0.452701 0.891662i \(-0.649540\pi\)
−0.685574 + 0.728003i \(0.740449\pi\)
\(114\) −2.82139 1.62893i −0.264247 0.152563i
\(115\) −15.4542 + 5.71407i −1.44112 + 0.532839i
\(116\) −1.50301 2.60329i −0.139551 0.241710i
\(117\) −2.15586 + 2.74139i −0.199309 + 0.253442i
\(118\) 4.72620 2.15839i 0.435082 0.198695i
\(119\) 1.49567 + 4.11785i 0.137108 + 0.377483i
\(120\) −7.98836 + 6.92195i −0.729234 + 0.631885i
\(121\) −0.932997 + 3.84586i −0.0848179 + 0.349624i
\(122\) 0.648655 13.6169i 0.0587265 1.23282i
\(123\) 0.113883 0.0108745i 0.0102684 0.000980518i
\(124\) −2.15356 + 0.745354i −0.193395 + 0.0669348i
\(125\) −5.21303 + 3.35021i −0.466267 + 0.299652i
\(126\) 2.23024 2.19221i 0.198686 0.195297i
\(127\) 0.349587 + 2.43143i 0.0310209 + 0.215755i 0.999436 0.0335897i \(-0.0106939\pi\)
−0.968415 + 0.249345i \(0.919785\pi\)
\(128\) 0.179323 + 3.76444i 0.0158500 + 0.332733i
\(129\) 3.91302 + 0.754173i 0.344522 + 0.0664012i
\(130\) 1.34624 + 14.0985i 0.118073 + 1.23652i
\(131\) 3.14435 + 6.09919i 0.274723 + 0.532889i 0.985321 0.170709i \(-0.0546059\pi\)
−0.710598 + 0.703598i \(0.751576\pi\)
\(132\) 2.23722 0.656907i 0.194725 0.0571764i
\(133\) −6.96490 + 2.16060i −0.603933 + 0.187347i
\(134\) −2.81010 + 9.57031i −0.242755 + 0.826749i
\(135\) −0.326579 + 3.42009i −0.0281074 + 0.294354i
\(136\) −4.72957 + 1.89343i −0.405557 + 0.162361i
\(137\) −15.8555 + 9.15417i −1.35463 + 0.782094i −0.988893 0.148627i \(-0.952515\pi\)
−0.365732 + 0.930720i \(0.619181\pi\)
\(138\) 2.46236 + 5.10591i 0.209610 + 0.434644i
\(139\) 1.33013i 0.112820i −0.998408 0.0564102i \(-0.982035\pi\)
0.998408 0.0564102i \(-0.0179655\pi\)
\(140\) −0.177527 + 5.47732i −0.0150038 + 0.462918i
\(141\) −3.73178 8.17146i −0.314273 0.688161i
\(142\) 13.5568 12.9263i 1.13766 1.08475i
\(143\) 4.41149 12.7462i 0.368908 1.06589i
\(144\) 1.75921 + 1.67740i 0.146601 + 0.139784i
\(145\) −15.2259 + 7.84951i −1.26444 + 0.651866i
\(146\) 0.118839 + 0.0542722i 0.00983523 + 0.00449160i
\(147\) −0.212766 6.99677i −0.0175486 0.577084i
\(148\) −0.949280 1.47711i −0.0780303 0.121418i
\(149\) 6.97742 17.4287i 0.571612 1.42782i −0.307659 0.951497i \(-0.599546\pi\)
0.879271 0.476322i \(-0.158030\pi\)
\(150\) 4.97116 + 6.32135i 0.405894 + 0.516136i
\(151\) 7.32214 + 3.77483i 0.595868 + 0.307191i 0.729651 0.683819i \(-0.239682\pi\)
−0.133784 + 0.991011i \(0.542713\pi\)
\(152\) −2.77349 8.01346i −0.224959 0.649978i
\(153\) −0.687880 + 1.50625i −0.0556118 + 0.121773i
\(154\) −5.37804 + 10.8331i −0.433375 + 0.872958i
\(155\) 3.65874 + 12.4605i 0.293877 + 1.00085i
\(156\) −2.06461 + 0.397921i −0.165301 + 0.0318592i
\(157\) −4.39902 18.1330i −0.351080 1.44717i −0.824263 0.566208i \(-0.808410\pi\)
0.473182 0.880964i \(-0.343105\pi\)
\(158\) −6.29283 4.48111i −0.500631 0.356498i
\(159\) −2.96974 2.33543i −0.235516 0.185212i
\(160\) −11.2692 −0.890908
\(161\) 12.1329 + 3.71391i 0.956205 + 0.292697i
\(162\) 1.18199 0.0928662
\(163\) 4.41376 + 3.47102i 0.345712 + 0.271871i 0.775884 0.630876i \(-0.217304\pi\)
−0.430171 + 0.902747i \(0.641547\pi\)
\(164\) 0.0561822 + 0.0400071i 0.00438709 + 0.00312403i
\(165\) −3.13260 12.9127i −0.243873 1.00526i
\(166\) 2.40281 0.463104i 0.186494 0.0359438i
\(167\) 3.20803 + 10.9255i 0.248244 + 0.845443i 0.985478 + 0.169805i \(0.0543137\pi\)
−0.737233 + 0.675638i \(0.763868\pi\)
\(168\) 8.12387 0.510849i 0.626771 0.0394129i
\(169\) 0.347724 0.761410i 0.0267480 0.0585700i
\(170\) 2.19934 + 6.35457i 0.168682 + 0.487373i
\(171\) −2.44984 1.26298i −0.187344 0.0965826i
\(172\) 1.48515 + 1.88852i 0.113242 + 0.143999i
\(173\) −6.59455 + 16.4724i −0.501374 + 1.25237i 0.434702 + 0.900575i \(0.356854\pi\)
−0.936076 + 0.351798i \(0.885570\pi\)
\(174\) 3.18624 + 4.95788i 0.241548 + 0.375856i
\(175\) 17.9432 + 1.43853i 1.35638 + 0.108742i
\(176\) −8.55131 3.90525i −0.644579 0.294370i
\(177\) 3.90709 2.01424i 0.293675 0.151400i
\(178\) −11.5041 10.9692i −0.862271 0.822174i
\(179\) 2.18613 6.31641i 0.163399 0.472111i −0.833344 0.552755i \(-0.813577\pi\)
0.996743 + 0.0806441i \(0.0256977\pi\)
\(180\) −1.49908 + 1.42937i −0.111735 + 0.106539i
\(181\) −7.41164 16.2292i −0.550903 1.20631i −0.956359 0.292194i \(-0.905615\pi\)
0.405456 0.914114i \(-0.367113\pi\)
\(182\) 5.75634 9.26366i 0.426688 0.686668i
\(183\) 11.5334i 0.852572i
\(184\) −3.85940 + 14.2412i −0.284519 + 1.04987i
\(185\) −8.66534 + 5.00294i −0.637089 + 0.367823i
\(186\) 4.14783 1.66054i 0.304134 0.121757i
\(187\) 0.608749 6.37511i 0.0445162 0.466194i
\(188\) 1.52584 5.19654i 0.111284 0.378997i
\(189\) 1.79646 1.94235i 0.130673 0.141285i
\(190\) −10.7395 + 3.15339i −0.779122 + 0.228771i
\(191\) −3.99537 7.74993i −0.289095 0.560765i 0.698906 0.715213i \(-0.253670\pi\)
−0.988001 + 0.154448i \(0.950640\pi\)
\(192\) 0.830649 + 8.69895i 0.0599469 + 0.627793i
\(193\) 17.3949 + 3.35260i 1.25212 + 0.241325i 0.771854 0.635800i \(-0.219330\pi\)
0.480261 + 0.877125i \(0.340542\pi\)
\(194\) −1.08198 22.7135i −0.0776816 1.63074i
\(195\) 1.70521 + 11.8600i 0.122113 + 0.849312i
\(196\) 2.66545 3.27197i 0.190389 0.233712i
\(197\) 2.56878 1.65086i 0.183018 0.117619i −0.445924 0.895071i \(-0.647125\pi\)
0.628942 + 0.777452i \(0.283488\pi\)
\(198\) −4.31992 + 1.49514i −0.307003 + 0.106255i
\(199\) 10.1245 0.966770i 0.717705 0.0685325i 0.270187 0.962808i \(-0.412914\pi\)
0.447517 + 0.894275i \(0.352308\pi\)
\(200\) −0.995992 + 20.9084i −0.0704272 + 1.47845i
\(201\) −1.98947 + 8.20070i −0.140326 + 0.578433i
\(202\) 13.7618 11.9246i 0.968275 0.839015i
\(203\) 12.9898 + 2.29939i 0.911707 + 0.161385i
\(204\) −0.908103 + 0.414717i −0.0635799 + 0.0290360i
\(205\) 0.242961 0.308950i 0.0169691 0.0215780i
\(206\) 8.80419 + 15.2493i 0.613417 + 1.06247i
\(207\) 2.28640 + 4.21573i 0.158916 + 0.293013i
\(208\) 7.34157 + 4.23866i 0.509046 + 0.293898i
\(209\) 10.5512 + 1.51703i 0.729842 + 0.104935i
\(210\) −0.163304 10.7429i −0.0112690 0.741332i
\(211\) −1.21039 0.355402i −0.0833266 0.0244669i 0.239804 0.970821i \(-0.422917\pi\)
−0.323130 + 0.946355i \(0.604735\pi\)
\(212\) −0.431066 2.23658i −0.0296058 0.153609i
\(213\) 10.9361 11.4694i 0.749326 0.785870i
\(214\) −15.4453 0.735752i −1.05582 0.0502950i
\(215\) 11.1525 7.94165i 0.760594 0.541616i
\(216\) 2.32514 + 2.01474i 0.158206 + 0.137086i
\(217\) 3.57538 9.33985i 0.242712 0.634030i
\(218\) 18.0001 2.58802i 1.21912 0.175283i
\(219\) 0.102612 + 0.0410798i 0.00693391 + 0.00277592i
\(220\) 3.67076 7.12027i 0.247482 0.480049i
\(221\) −1.09292 + 5.67061i −0.0735178 + 0.381447i
\(222\) 1.99679 + 2.80410i 0.134016 + 0.188199i
\(223\) 15.1891 23.6347i 1.01714 1.58270i 0.223128 0.974789i \(-0.428373\pi\)
0.794009 0.607906i \(-0.207990\pi\)
\(224\) 6.90234 + 5.26025i 0.461182 + 0.351465i
\(225\) 4.45545 + 5.14186i 0.297030 + 0.342791i
\(226\) 9.97112 + 10.4574i 0.663269 + 0.695616i
\(227\) 11.8640 16.6607i 0.787441 1.10581i −0.204470 0.978873i \(-0.565547\pi\)
0.991911 0.126934i \(-0.0405136\pi\)
\(228\) −0.617596 1.54268i −0.0409013 0.102166i
\(229\) −8.56724 + 14.8389i −0.566139 + 0.980582i 0.430804 + 0.902446i \(0.358230\pi\)
−0.996943 + 0.0781359i \(0.975103\pi\)
\(230\) 18.5337 + 5.98280i 1.22208 + 0.394494i
\(231\) −4.10873 + 9.37125i −0.270335 + 0.616583i
\(232\) −2.18311 + 15.1839i −0.143328 + 0.996869i
\(233\) 13.4178 + 1.28124i 0.879029 + 0.0839371i 0.524804 0.851223i \(-0.324139\pi\)
0.354225 + 0.935160i \(0.384745\pi\)
\(234\) 4.00605 0.971858i 0.261884 0.0635323i
\(235\) −29.1658 10.0944i −1.90257 0.658486i
\(236\) 2.57544 + 0.624796i 0.167647 + 0.0406708i
\(237\) −5.49827 3.53353i −0.357151 0.229527i
\(238\) 1.61911 4.91876i 0.104951 0.318836i
\(239\) 13.1041 15.1230i 0.847636 0.978224i −0.152313 0.988332i \(-0.548672\pi\)
0.999949 + 0.0101086i \(0.00321772\pi\)
\(240\) 8.34171 0.397364i 0.538455 0.0256498i
\(241\) −15.2586 + 11.9995i −0.982890 + 0.772953i −0.973893 0.227006i \(-0.927106\pi\)
−0.00899695 + 0.999960i \(0.502864\pi\)
\(242\) 3.67688 2.89153i 0.236359 0.185874i
\(243\) 0.998867 0.0475819i 0.0640774 0.00305238i
\(244\) 4.55349 5.25501i 0.291507 0.336417i
\(245\) −17.9019 16.0594i −1.14371 1.02599i
\(246\) −0.113755 0.0731059i −0.00725275 0.00466106i
\(247\) −9.34154 2.26623i −0.594388 0.144197i
\(248\) 10.9898 + 3.80360i 0.697852 + 0.241529i
\(249\) 2.01190 0.488082i 0.127499 0.0309309i
\(250\) 7.29134 + 0.696238i 0.461145 + 0.0440340i
\(251\) −2.79527 + 19.4416i −0.176436 + 1.22714i 0.688492 + 0.725244i \(0.258273\pi\)
−0.864928 + 0.501896i \(0.832636\pi\)
\(252\) 1.58539 0.175741i 0.0998701 0.0110706i
\(253\) −13.6889 12.5154i −0.860613 0.786836i
\(254\) 1.45175 2.51450i 0.0910907 0.157774i
\(255\) 2.11440 + 5.28152i 0.132409 + 0.330742i
\(256\) −7.55376 + 10.6078i −0.472110 + 0.662985i
\(257\) −3.02170 3.16907i −0.188489 0.197681i 0.622709 0.782454i \(-0.286032\pi\)
−0.811197 + 0.584773i \(0.801184\pi\)
\(258\) −3.08458 3.55980i −0.192038 0.221623i
\(259\) 7.64277 + 0.980543i 0.474899 + 0.0609280i
\(260\) −3.90549 + 6.07706i −0.242208 + 0.376883i
\(261\) 2.89218 + 4.06149i 0.179021 + 0.251400i
\(262\) 1.53499 7.96427i 0.0948318 0.492034i
\(263\) 13.1074 25.4247i 0.808234 1.56776i −0.0148868 0.999889i \(-0.504739\pi\)
0.823121 0.567866i \(-0.192231\pi\)
\(264\) −11.0464 4.42230i −0.679857 0.272174i
\(265\) −12.8479 + 1.84725i −0.789240 + 0.113476i
\(266\) 8.04982 + 3.08154i 0.493566 + 0.188941i
\(267\) −10.1634 8.80661i −0.621988 0.538956i
\(268\) −4.14419 + 2.95106i −0.253146 + 0.180265i
\(269\) 3.54989 + 0.169102i 0.216441 + 0.0103103i 0.155522 0.987832i \(-0.450294\pi\)
0.0609185 + 0.998143i \(0.480597\pi\)
\(270\) 2.80235 2.93902i 0.170546 0.178863i
\(271\) −0.549719 2.85221i −0.0333930 0.173260i 0.961403 0.275143i \(-0.0887252\pi\)
−0.994796 + 0.101884i \(0.967513\pi\)
\(272\) 3.86199 + 1.13398i 0.234168 + 0.0687578i
\(273\) 4.49159 8.06016i 0.271844 0.487823i
\(274\) 21.4201 + 3.07974i 1.29403 + 0.186054i
\(275\) −22.7878 13.1565i −1.37415 0.793368i
\(276\) −0.622645 + 2.82352i −0.0374788 + 0.169956i
\(277\) 7.35253 + 12.7350i 0.441771 + 0.765169i 0.997821 0.0659795i \(-0.0210172\pi\)
−0.556050 + 0.831149i \(0.687684\pi\)
\(278\) −0.971876 + 1.23584i −0.0582892 + 0.0741208i
\(279\) 3.43836 1.57025i 0.205849 0.0940083i
\(280\) 17.9904 21.4111i 1.07513 1.27956i
\(281\) −23.6399 + 20.4841i −1.41024 + 1.22198i −0.469459 + 0.882954i \(0.655551\pi\)
−0.940778 + 0.339023i \(0.889903\pi\)
\(282\) −2.50333 + 10.3189i −0.149071 + 0.614479i
\(283\) −0.663340 + 13.9252i −0.0394315 + 0.827768i 0.889369 + 0.457189i \(0.151144\pi\)
−0.928801 + 0.370579i \(0.879159\pi\)
\(284\) 9.51107 0.908197i 0.564378 0.0538916i
\(285\) −8.94865 + 3.09716i −0.530072 + 0.183460i
\(286\) −13.4119 + 8.61929i −0.793061 + 0.509670i
\(287\) −0.293025 + 0.0758210i −0.0172967 + 0.00447557i
\(288\) 0.466804 + 3.24669i 0.0275067 + 0.191313i
\(289\) −0.678425 14.2419i −0.0399073 0.837758i
\(290\) 19.8819 + 3.83192i 1.16750 + 0.225018i
\(291\) −1.82870 19.1510i −0.107200 1.12265i
\(292\) 0.0305351 + 0.0592297i 0.00178693 + 0.00346616i
\(293\) −8.53771 + 2.50690i −0.498778 + 0.146455i −0.521439 0.853289i \(-0.674604\pi\)
0.0226605 + 0.999743i \(0.492786\pi\)
\(294\) −4.91457 + 6.65622i −0.286624 + 0.388199i
\(295\) 4.25478 14.4904i 0.247723 0.843666i
\(296\) −0.851722 + 8.91963i −0.0495053 + 0.518443i
\(297\) −3.59045 + 1.43740i −0.208339 + 0.0834063i
\(298\) −19.2173 + 11.0951i −1.11323 + 0.642722i
\(299\) 11.2154 + 12.4082i 0.648604 + 0.717582i
\(300\) 4.10186i 0.236821i
\(301\) −10.5379 0.341547i −0.607393 0.0196864i
\(302\) −4.04496 8.85723i −0.232761 0.509676i
\(303\) 11.1496 10.6311i 0.640529 0.610743i
\(304\) −2.19126 + 6.33123i −0.125677 + 0.363121i
\(305\) −28.6777 27.3441i −1.64208 1.56572i
\(306\) 1.73967 0.896863i 0.0994504 0.0512702i
\(307\) −19.2595 8.79552i −1.09920 0.501987i −0.218582 0.975818i \(-0.570143\pi\)
−0.880615 + 0.473832i \(0.842871\pi\)
\(308\) −5.57194 + 2.64770i −0.317491 + 0.150867i
\(309\) 8.05403 + 12.5323i 0.458178 + 0.712938i
\(310\) 5.70503 14.2505i 0.324024 0.809373i
\(311\) −3.33384 4.23933i −0.189045 0.240390i 0.682287 0.731085i \(-0.260986\pi\)
−0.871332 + 0.490694i \(0.836743\pi\)
\(312\) 9.53700 + 4.91667i 0.539926 + 0.278351i
\(313\) 1.15761 + 3.34470i 0.0654320 + 0.189053i 0.972977 0.230901i \(-0.0741673\pi\)
−0.907545 + 0.419954i \(0.862046\pi\)
\(314\) −9.16190 + 20.0618i −0.517036 + 1.13215i
\(315\) −0.570466 9.07195i −0.0321421 0.511146i
\(316\) −1.11013 3.78077i −0.0624499 0.212685i
\(317\) −17.1536 + 3.30608i −0.963440 + 0.185688i −0.646632 0.762802i \(-0.723823\pi\)
−0.316808 + 0.948490i \(0.602611\pi\)
\(318\) 1.05281 + 4.33974i 0.0590387 + 0.243361i
\(319\) −15.7077 11.1854i −0.879465 0.626264i
\(320\) 23.5992 + 18.5586i 1.31924 + 1.03746i
\(321\) −13.0820 −0.730167
\(322\) −8.55917 12.3156i −0.476984 0.686324i
\(323\) −4.56402 −0.253949
\(324\) 0.473904 + 0.372682i 0.0263280 + 0.0207046i
\(325\) 19.3283 + 13.7636i 1.07214 + 0.763468i
\(326\) −1.56473 6.44991i −0.0866625 0.357228i
\(327\) 15.1072 2.91167i 0.835428 0.161016i
\(328\) −0.0991600 0.337708i −0.00547519 0.0186468i
\(329\) 13.1521 + 19.7969i 0.725098 + 1.09144i
\(330\) −6.52430 + 14.2862i −0.359151 + 0.786431i
\(331\) 3.81804 + 11.0315i 0.209858 + 0.606346i 0.999978 0.00660660i \(-0.00210296\pi\)
−0.790120 + 0.612952i \(0.789982\pi\)
\(332\) 1.10939 + 0.571930i 0.0608857 + 0.0313888i
\(333\) 1.80031 + 2.28928i 0.0986563 + 0.125452i
\(334\) 5.00224 12.4950i 0.273710 0.683696i
\(335\) 15.6742 + 24.3896i 0.856374 + 1.33254i
\(336\) −5.29474 3.65037i −0.288852 0.199144i
\(337\) 6.28879 + 2.87200i 0.342572 + 0.156448i 0.579270 0.815136i \(-0.303338\pi\)
−0.236697 + 0.971583i \(0.576065\pi\)
\(338\) −0.879406 + 0.453365i −0.0478334 + 0.0246598i
\(339\) 8.84726 + 8.43584i 0.480517 + 0.458172i
\(340\) −1.12180 + 3.24123i −0.0608382 + 0.175780i
\(341\) −10.5802 + 10.0882i −0.572949 + 0.546306i
\(342\) 1.35336 + 2.96345i 0.0731815 + 0.160245i
\(343\) 3.46860 + 18.1925i 0.187287 + 0.982305i
\(344\) 12.2604i 0.661034i
\(345\) 15.9031 + 4.30980i 0.856196 + 0.232032i
\(346\) 18.1628 10.4863i 0.976437 0.563746i
\(347\) 27.7583 11.1128i 1.49015 0.596564i 0.523350 0.852118i \(-0.324682\pi\)
0.966795 + 0.255553i \(0.0822576\pi\)
\(348\) −0.285741 + 2.99241i −0.0153173 + 0.160410i
\(349\) −3.45203 + 11.7565i −0.184783 + 0.629313i 0.814040 + 0.580809i \(0.197264\pi\)
−0.998823 + 0.0485042i \(0.984555\pi\)
\(350\) −15.6201 14.4469i −0.834932 0.772222i
\(351\) 3.34627 0.982554i 0.178611 0.0524449i
\(352\) −5.81290 11.2755i −0.309829 0.600984i
\(353\) 2.49387 + 26.1170i 0.132735 + 1.39007i 0.779034 + 0.626981i \(0.215710\pi\)
−0.646299 + 0.763084i \(0.723684\pi\)
\(354\) −5.10184 0.983299i −0.271160 0.0522617i
\(355\) −2.59067 54.3848i −0.137498 2.88645i
\(356\) −1.15385 8.02519i −0.0611538 0.425334i
\(357\) 1.17025 4.22187i 0.0619364 0.223445i
\(358\) −6.64631 + 4.27132i −0.351268 + 0.225746i
\(359\) 11.7356 4.06171i 0.619379 0.214369i 0.000683016 1.00000i \(-0.499783\pi\)
0.618696 + 0.785631i \(0.287661\pi\)
\(360\) 10.5222 1.00475i 0.554571 0.0529551i
\(361\) −0.542583 + 11.3902i −0.0285570 + 0.599486i
\(362\) −4.97182 + 20.4941i −0.261313 + 1.07715i
\(363\) 2.99082 2.59156i 0.156977 0.136022i
\(364\) 5.22875 1.89916i 0.274061 0.0995432i
\(365\) 0.345425 0.157750i 0.0180804 0.00825703i
\(366\) −8.42698 + 10.7158i −0.440485 + 0.560123i
\(367\) −11.9356 20.6731i −0.623033 1.07913i −0.988918 0.148465i \(-0.952567\pi\)
0.365885 0.930660i \(-0.380767\pi\)
\(368\) 9.35210 6.95944i 0.487512 0.362786i
\(369\) −0.0990738 0.0572003i −0.00515758 0.00297773i
\(370\) 11.7065 + 1.68314i 0.608592 + 0.0875023i
\(371\) 8.73154 + 4.86573i 0.453319 + 0.252616i
\(372\) 2.18659 + 0.642039i 0.113369 + 0.0332882i
\(373\) 0.497664 + 2.58212i 0.0257681 + 0.133697i 0.992535 0.121963i \(-0.0389191\pi\)
−0.966767 + 0.255661i \(0.917707\pi\)
\(374\) −5.22364 + 5.47839i −0.270108 + 0.283281i
\(375\) 6.18972 + 0.294853i 0.319636 + 0.0152261i
\(376\) −22.5132 + 16.0316i −1.16103 + 0.826765i
\(377\) 13.1417 + 11.3873i 0.676832 + 0.586478i
\(378\) −3.08831 + 0.492053i −0.158845 + 0.0253085i
\(379\) 4.60696 0.662381i 0.236644 0.0340242i −0.0229725 0.999736i \(-0.507313\pi\)
0.259616 + 0.965712i \(0.416404\pi\)
\(380\) −5.30010 2.12184i −0.271889 0.108848i
\(381\) 1.12560 2.18337i 0.0576665 0.111857i
\(382\) −1.95043 + 10.1198i −0.0997927 + 0.517773i
\(383\) −10.0100 14.0570i −0.511485 0.718280i 0.475388 0.879776i \(-0.342308\pi\)
−0.986873 + 0.161496i \(0.948368\pi\)
\(384\) 2.03752 3.17044i 0.103977 0.161791i
\(385\) 13.5603 + 32.4343i 0.691097 + 1.65301i
\(386\) −13.7122 15.8247i −0.697933 0.805457i
\(387\) −2.74999 2.88410i −0.139790 0.146607i
\(388\) 6.72777 9.44783i 0.341551 0.479641i
\(389\) 0.504559 + 1.26033i 0.0255822 + 0.0639011i 0.940609 0.339492i \(-0.110255\pi\)
−0.915027 + 0.403393i \(0.867831\pi\)
\(390\) 7.08130 12.2652i 0.358576 0.621071i
\(391\) 6.56393 + 4.46989i 0.331952 + 0.226052i
\(392\) −21.0134 + 4.71664i −1.06134 + 0.238226i
\(393\) 0.976565 6.79216i 0.0492612 0.342619i
\(394\) −3.59290 0.343080i −0.181008 0.0172841i
\(395\) −21.8218 + 5.29390i −1.09797 + 0.266365i
\(396\) −2.20343 0.762614i −0.110726 0.0383228i
\(397\) −15.2068 3.68914i −0.763209 0.185152i −0.164782 0.986330i \(-0.552692\pi\)
−0.598427 + 0.801178i \(0.704207\pi\)
\(398\) −10.1131 6.49931i −0.506925 0.325781i
\(399\) 6.92671 + 2.28007i 0.346769 + 0.114146i
\(400\) 10.8300 12.4985i 0.541502 0.624927i
\(401\) −22.7758 + 1.08495i −1.13737 + 0.0541796i −0.607803 0.794088i \(-0.707949\pi\)
−0.529567 + 0.848268i \(0.677646\pi\)
\(402\) 7.84036 6.16573i 0.391042 0.307519i
\(403\) 10.3623 8.14902i 0.516184 0.405932i
\(404\) 9.27743 0.441938i 0.461569 0.0219873i
\(405\) 2.24987 2.59649i 0.111797 0.129021i
\(406\) −10.3889 11.6275i −0.515593 0.577065i
\(407\) −9.47550 6.08953i −0.469683 0.301847i
\(408\) 4.95090 + 1.20107i 0.245106 + 0.0594620i
\(409\) 1.92511 + 0.666286i 0.0951904 + 0.0329457i 0.374248 0.927329i \(-0.377901\pi\)
−0.279058 + 0.960274i \(0.590022\pi\)
\(410\) −0.451475 + 0.109527i −0.0222968 + 0.00540914i
\(411\) 18.2254 + 1.74032i 0.898995 + 0.0858436i
\(412\) −1.27818 + 8.88996i −0.0629716 + 0.437977i
\(413\) −9.36991 + 6.88929i −0.461063 + 0.339000i
\(414\) 0.955943 5.58746i 0.0469820 0.274609i
\(415\) 3.55633 6.15975i 0.174574 0.302370i
\(416\) 4.25160 + 10.6200i 0.208452 + 0.520688i
\(417\) −0.771553 + 1.08350i −0.0377831 + 0.0530590i
\(418\) −8.69479 9.11884i −0.425276 0.446017i
\(419\) −11.0553 12.7585i −0.540086 0.623293i 0.418458 0.908236i \(-0.362571\pi\)
−0.958544 + 0.284943i \(0.908025\pi\)
\(420\) 3.32177 4.35872i 0.162086 0.212684i
\(421\) −1.09578 + 1.70507i −0.0534050 + 0.0830998i −0.866929 0.498431i \(-0.833910\pi\)
0.813524 + 0.581531i \(0.197546\pi\)
\(422\) 0.864906 + 1.21459i 0.0421030 + 0.0591254i
\(423\) −1.70009 + 8.82092i −0.0826614 + 0.428888i
\(424\) −5.32621 + 10.3314i −0.258663 + 0.501737i
\(425\) 10.4591 + 4.18718i 0.507340 + 0.203108i
\(426\) −18.5410 + 2.66580i −0.898316 + 0.129158i
\(427\) 4.80124 + 30.1344i 0.232348 + 1.45830i
\(428\) −5.96061 5.16490i −0.288117 0.249655i
\(429\) −10.9870 + 7.82381i −0.530458 + 0.377737i
\(430\) −16.1645 0.770012i −0.779523 0.0371333i
\(431\) −20.1926 + 21.1774i −0.972644 + 1.02008i 0.0271473 + 0.999631i \(0.491358\pi\)
−0.999791 + 0.0204479i \(0.993491\pi\)
\(432\) −0.460021 2.38681i −0.0221328 0.114836i
\(433\) 16.9071 + 4.96437i 0.812503 + 0.238572i 0.661485 0.749959i \(-0.269927\pi\)
0.151018 + 0.988531i \(0.451745\pi\)
\(434\) −10.1462 + 6.06536i −0.487032 + 0.291147i
\(435\) 16.9558 + 2.43788i 0.812970 + 0.116887i
\(436\) 8.03290 + 4.63780i 0.384706 + 0.222110i
\(437\) −7.95162 + 10.5593i −0.380378 + 0.505121i
\(438\) −0.0653228 0.113142i −0.00312125 0.00540616i
\(439\) −9.63317 + 12.2496i −0.459766 + 0.584640i −0.959560 0.281504i \(-0.909167\pi\)
0.499794 + 0.866144i \(0.333409\pi\)
\(440\) −37.1855 + 16.9820i −1.77275 + 0.809587i
\(441\) −3.88521 + 5.82281i −0.185010 + 0.277277i
\(442\) 5.15873 4.47007i 0.245376 0.212619i
\(443\) −0.495901 + 2.04413i −0.0235610 + 0.0971196i −0.982378 0.186905i \(-0.940154\pi\)
0.958817 + 0.284024i \(0.0916696\pi\)
\(444\) −0.0835463 + 1.75385i −0.00396493 + 0.0832342i
\(445\) −45.9936 + 4.39185i −2.18030 + 0.208194i
\(446\) −31.3812 + 10.8612i −1.48595 + 0.514291i
\(447\) −15.7933 + 10.1497i −0.746997 + 0.480066i
\(448\) −5.79161 22.3828i −0.273628 1.05749i
\(449\) −4.39819 30.5901i −0.207563 1.44363i −0.781075 0.624437i \(-0.785329\pi\)
0.573512 0.819197i \(-0.305581\pi\)
\(450\) −0.382648 8.03277i −0.0180382 0.378669i
\(451\) 0.434447 + 0.0837327i 0.0204573 + 0.00394282i
\(452\) 0.700565 + 7.33664i 0.0329518 + 0.345087i
\(453\) −3.77483 7.32214i −0.177357 0.344024i
\(454\) −23.1962 + 6.81103i −1.08865 + 0.319658i
\(455\) −9.39257 30.2779i −0.440330 1.41945i
\(456\) −2.38905 + 8.13635i −0.111877 + 0.381020i
\(457\) −1.84287 + 19.2994i −0.0862057 + 0.902787i 0.844145 + 0.536115i \(0.180109\pi\)
−0.930351 + 0.366671i \(0.880497\pi\)
\(458\) 18.8021 7.52722i 0.878564 0.351724i
\(459\) 1.43404 0.827943i 0.0669352 0.0386451i
\(460\) 5.54447 + 8.24240i 0.258512 + 0.384304i
\(461\) 19.6843i 0.916787i −0.888749 0.458394i \(-0.848425\pi\)
0.888749 0.458394i \(-0.151575\pi\)
\(462\) 10.6647 5.70483i 0.496165 0.265413i
\(463\) 3.17776 + 6.95832i 0.147683 + 0.323380i 0.968988 0.247109i \(-0.0794807\pi\)
−0.821305 + 0.570490i \(0.806753\pi\)
\(464\) 8.77146 8.36357i 0.407205 0.388269i
\(465\) 4.24749 12.2723i 0.196973 0.569115i
\(466\) −11.5305 10.9943i −0.534138 0.509300i
\(467\) 17.5905 9.06851i 0.813989 0.419640i −0.000371439 1.00000i \(-0.500118\pi\)
0.814360 + 0.580359i \(0.197088\pi\)
\(468\) 1.91260 + 0.873454i 0.0884099 + 0.0403754i
\(469\) 1.78420 22.2550i 0.0823868 1.02764i
\(470\) 19.7227 + 30.6891i 0.909740 + 1.41558i
\(471\) −6.93484 + 17.3224i −0.319541 + 0.798174i
\(472\) −8.35993 10.6305i −0.384797 0.489309i
\(473\) 13.6988 + 7.06221i 0.629870 + 0.324721i
\(474\) 2.52669 + 7.30040i 0.116055 + 0.335319i
\(475\) −7.79008 + 17.0579i −0.357433 + 0.782670i
\(476\) 2.20004 1.46160i 0.100839 0.0669925i
\(477\) 1.06440 + 3.62500i 0.0487354 + 0.165978i
\(478\) −23.2249 + 4.47624i −1.06228 + 0.204738i
\(479\) −4.18821 17.2641i −0.191364 0.788815i −0.983860 0.178938i \(-0.942734\pi\)
0.792496 0.609877i \(-0.208781\pi\)
\(480\) 9.17961 + 6.53677i 0.418990 + 0.298362i
\(481\) 7.98396 + 6.27865i 0.364037 + 0.286282i
\(482\) 22.9444 1.04509
\(483\) −7.72887 10.0630i −0.351676 0.457884i
\(484\) 2.38589 0.108450
\(485\) −51.9544 40.8574i −2.35913 1.85524i
\(486\) −0.962824 0.685624i −0.0436746 0.0311005i
\(487\) 8.92307 + 36.7814i 0.404343 + 1.66672i 0.702096 + 0.712082i \(0.252248\pi\)
−0.297753 + 0.954643i \(0.596237\pi\)
\(488\) −34.8424 + 6.71532i −1.57724 + 0.303988i
\(489\) −1.58195 5.38764i −0.0715384 0.243637i
\(490\) 4.89886 + 28.0011i 0.221308 + 1.26496i
\(491\) −1.41116 + 3.09001i −0.0636847 + 0.139450i −0.938798 0.344468i \(-0.888059\pi\)
0.875113 + 0.483918i \(0.160787\pi\)
\(492\) −0.0225582 0.0651777i −0.00101700 0.00293844i
\(493\) 7.33848 + 3.78325i 0.330508 + 0.170389i
\(494\) 7.02347 + 8.93107i 0.316001 + 0.401828i
\(495\) −4.93839 + 12.3355i −0.221964 + 0.554440i
\(496\) −4.96745 7.72950i −0.223045 0.347065i
\(497\) −23.7991 + 34.5198i −1.06753 + 1.54842i
\(498\) −2.22590 1.01653i −0.0997449 0.0455519i
\(499\) −23.6444 + 12.1896i −1.05847 + 0.545680i −0.897379 0.441260i \(-0.854532\pi\)
−0.161091 + 0.986939i \(0.551501\pi\)
\(500\) 2.70384 + 2.57810i 0.120919 + 0.115296i
\(501\) 3.72425 10.7605i 0.166387 0.480744i
\(502\) 16.8023 16.0209i 0.749923 0.715050i
\(503\) −9.45348 20.7002i −0.421510 0.922978i −0.994629 0.103506i \(-0.966994\pi\)
0.573119 0.819472i \(-0.305733\pi\)
\(504\) −6.91383 4.29618i −0.307967 0.191367i
\(505\) 52.9285i 2.35529i
\(506\) 3.57398 + 21.6301i 0.158883 + 0.961575i
\(507\) −0.724909 + 0.418526i −0.0321943 + 0.0185874i
\(508\) 1.37488 0.550418i 0.0610004 0.0244209i
\(509\) 1.10057 11.5257i 0.0487820 0.510868i −0.937751 0.347308i \(-0.887096\pi\)
0.986533 0.163561i \(-0.0522980\pi\)
\(510\) 1.89448 6.45202i 0.0838892 0.285700i
\(511\) −0.285206 0.0646166i −0.0126168 0.00285847i
\(512\) 22.0010 6.46009i 0.972318 0.285498i
\(513\) 1.26298 + 2.44984i 0.0557620 + 0.108163i
\(514\) 0.491981 + 5.15225i 0.0217003 + 0.227256i
\(515\) 50.2565 + 9.68616i 2.21457 + 0.426823i
\(516\) −0.114317 2.39982i −0.00503255 0.105646i
\(517\) −4.94439 34.3890i −0.217454 1.51243i
\(518\) −6.38453 6.49530i −0.280520 0.285387i
\(519\) 14.9267 9.59280i 0.655209 0.421077i
\(520\) 34.8362 12.0569i 1.52767 0.528732i
\(521\) −2.48001 + 0.236812i −0.108651 + 0.0103749i −0.149240 0.988801i \(-0.547683\pi\)
0.0405889 + 0.999176i \(0.487077\pi\)
\(522\) 0.280421 5.88677i 0.0122737 0.257657i
\(523\) 9.59509 39.5515i 0.419564 1.72947i −0.233676 0.972315i \(-0.575076\pi\)
0.653240 0.757151i \(-0.273409\pi\)
\(524\) 3.12657 2.70918i 0.136585 0.118351i
\(525\) −13.7817 11.5799i −0.601482 0.505387i
\(526\) −30.7550 + 14.0453i −1.34098 + 0.612406i
\(527\) 3.86916 4.92004i 0.168543 0.214320i
\(528\) 4.70042 + 8.14137i 0.204560 + 0.354308i
\(529\) 21.7775 7.39868i 0.946848 0.321682i
\(530\) 13.2868 + 7.67114i 0.577142 + 0.333213i
\(531\) −4.35099 0.625578i −0.188817 0.0271478i
\(532\) 2.25585 + 3.77361i 0.0978037 + 0.163607i
\(533\) −0.382815 0.112405i −0.0165816 0.00486879i
\(534\) 3.00825 + 15.6083i 0.130180 + 0.675436i
\(535\) −31.0157 + 32.5283i −1.34093 + 1.40632i
\(536\) 25.9327 + 1.23533i 1.12012 + 0.0533580i
\(537\) −5.44465 + 3.87712i −0.234954 + 0.167310i
\(538\) −3.17468 2.75088i −0.136870 0.118599i
\(539\) 6.83411 26.1956i 0.294366 1.12832i
\(540\) 2.05024 0.294779i 0.0882281 0.0126853i
\(541\) −5.30983 2.12574i −0.228287 0.0913925i 0.254699 0.967020i \(-0.418024\pi\)
−0.482986 + 0.875628i \(0.660448\pi\)
\(542\) −1.57325 + 3.05168i −0.0675768 + 0.131081i
\(543\) −3.37653 + 17.5191i −0.144901 + 0.751817i
\(544\) 3.15054 + 4.42432i 0.135078 + 0.189691i
\(545\) 28.5772 44.4670i 1.22411 1.90476i
\(546\) −10.0624 + 4.20695i −0.430632 + 0.180041i
\(547\) 20.5504 + 23.7164i 0.878672 + 1.01404i 0.999771 + 0.0214011i \(0.00681270\pi\)
−0.121099 + 0.992640i \(0.538642\pi\)
\(548\) 7.61704 + 7.98853i 0.325384 + 0.341253i
\(549\) −6.69002 + 9.39481i −0.285523 + 0.400961i
\(550\) 11.5594 + 28.8740i 0.492894 + 1.23119i
\(551\) −6.87133 + 11.9015i −0.292729 + 0.507021i
\(552\) 11.4045 9.36184i 0.485406 0.398466i
\(553\) 15.8368 + 6.94350i 0.673451 + 0.295268i
\(554\) 2.47361 17.2044i 0.105094 0.730944i
\(555\) 9.96057 + 0.951119i 0.422803 + 0.0403728i
\(556\) −0.779320 + 0.189061i −0.0330505 + 0.00801798i
\(557\) −8.33657 2.88532i −0.353232 0.122255i 0.144689 0.989477i \(-0.453782\pi\)
−0.497921 + 0.867222i \(0.665903\pi\)
\(558\) −4.34193 1.05334i −0.183809 0.0445915i
\(559\) −11.6917 7.51381i −0.494507 0.317800i
\(560\) −21.6298 + 4.51080i −0.914024 + 0.190616i
\(561\) −4.19380 + 4.83990i −0.177062 + 0.204341i
\(562\) 36.9309 1.75924i 1.55784 0.0742090i
\(563\) 6.10754 4.80303i 0.257402 0.202423i −0.481116 0.876657i \(-0.659768\pi\)
0.738518 + 0.674234i \(0.235526\pi\)
\(564\) −4.25721 + 3.34790i −0.179261 + 0.140972i
\(565\) 41.9513 1.99839i 1.76491 0.0840729i
\(566\) 10.7909 12.4534i 0.453576 0.523455i
\(567\) −2.59003 + 0.540141i −0.108771 + 0.0226838i
\(568\) −41.0166 26.3598i −1.72102 1.10603i
\(569\) 11.7739 + 2.85633i 0.493589 + 0.119743i 0.474824 0.880081i \(-0.342512\pi\)
0.0187645 + 0.999824i \(0.494027\pi\)
\(570\) 10.5772 + 3.66082i 0.443032 + 0.153335i
\(571\) −21.9956 + 5.33606i −0.920485 + 0.223307i −0.667886 0.744264i \(-0.732801\pi\)
−0.252599 + 0.967571i \(0.581285\pi\)
\(572\) −8.09497 0.772976i −0.338468 0.0323198i
\(573\) −1.24087 + 8.63044i −0.0518381 + 0.360542i
\(574\) 0.327652 + 0.143656i 0.0136759 + 0.00599607i
\(575\) 27.9097 16.9031i 1.16392 0.704906i
\(576\) 4.36926 7.56778i 0.182052 0.315324i
\(577\) −9.69975 24.2288i −0.403806 1.00866i −0.981338 0.192291i \(-0.938408\pi\)
0.577532 0.816368i \(-0.304016\pi\)
\(578\) −9.77565 + 13.7280i −0.406613 + 0.571009i
\(579\) −12.2248 12.8210i −0.508045 0.532823i
\(580\) 6.76317 + 7.80511i 0.280825 + 0.324089i
\(581\) −5.05350 + 2.11279i −0.209654 + 0.0876534i
\(582\) −12.2938 + 19.1295i −0.509594 + 0.792944i
\(583\) −8.47550 11.9022i −0.351020 0.492938i
\(584\) 0.0643561 0.333911i 0.00266307 0.0138173i
\(585\) 5.49045 10.6500i 0.227002 0.440323i
\(586\) 9.76416 + 3.90898i 0.403354 + 0.161478i
\(587\) −6.40991 + 0.921607i −0.264565 + 0.0380388i −0.273321 0.961923i \(-0.588122\pi\)
0.00875547 + 0.999962i \(0.497213\pi\)
\(588\) −4.06914 + 1.11916i −0.167808 + 0.0461533i
\(589\) 7.87373 + 6.82263i 0.324432 + 0.281122i
\(590\) −14.5407 + 10.3544i −0.598633 + 0.426285i
\(591\) −3.05006 0.145292i −0.125463 0.00597653i
\(592\) 4.88522 5.12347i 0.200781 0.210574i
\(593\) 4.48319 + 23.2610i 0.184103 + 0.955215i 0.950000 + 0.312251i \(0.101083\pi\)
−0.765897 + 0.642963i \(0.777705\pi\)
\(594\) 4.38617 + 1.28790i 0.179967 + 0.0528430i
\(595\) −7.72315 12.9193i −0.316618 0.529641i
\(596\) −11.2032 1.61077i −0.458900 0.0659799i
\(597\) −8.80793 5.08526i −0.360485 0.208126i
\(598\) −1.35420 19.7232i −0.0553774 0.806541i
\(599\) −11.3719 19.6967i −0.464643 0.804785i 0.534542 0.845142i \(-0.320484\pi\)
−0.999185 + 0.0403563i \(0.987151\pi\)
\(600\) 12.9394 16.4538i 0.528249 0.671723i
\(601\) 35.3361 16.1375i 1.44139 0.658261i 0.467233 0.884134i \(-0.345251\pi\)
0.974157 + 0.225873i \(0.0725236\pi\)
\(602\) 9.54129 + 8.01694i 0.388874 + 0.326746i
\(603\) 6.37745 5.52609i 0.259710 0.225040i
\(604\) 1.17091 4.82656i 0.0476437 0.196390i
\(605\) 0.646937 13.5809i 0.0263017 0.552142i
\(606\) −18.1270 + 1.73092i −0.736358 + 0.0703137i
\(607\) −8.23083 + 2.84872i −0.334079 + 0.115626i −0.488957 0.872308i \(-0.662623\pi\)
0.154878 + 0.987934i \(0.450501\pi\)
\(608\) −7.60551 + 4.88776i −0.308444 + 0.198225i
\(609\) −9.24743 9.40787i −0.374725 0.381226i
\(610\) 6.66546 + 46.3593i 0.269877 + 1.87703i
\(611\) 1.49072 + 31.2940i 0.0603080 + 1.26602i
\(612\) 0.980278 + 0.188933i 0.0396254 + 0.00763717i
\(613\) 3.83948 + 40.2088i 0.155075 + 1.62402i 0.653389 + 0.757022i \(0.273347\pi\)
−0.498314 + 0.866997i \(0.666047\pi\)
\(614\) 11.4677 + 22.2442i 0.462797 + 0.897701i
\(615\) −0.377119 + 0.110732i −0.0152069 + 0.00446515i
\(616\) 30.7029 + 6.95607i 1.23705 + 0.280268i
\(617\) 2.47415 8.42619i 0.0996056 0.339225i −0.894580 0.446908i \(-0.852525\pi\)
0.994185 + 0.107683i \(0.0343432\pi\)
\(618\) 1.67378 17.5287i 0.0673294 0.705106i
\(619\) −42.2301 + 16.9064i −1.69737 + 0.679524i −0.999332 0.0365376i \(-0.988367\pi\)
−0.698037 + 0.716062i \(0.745943\pi\)
\(620\) 6.78053 3.91474i 0.272313 0.157220i
\(621\) 0.582912 4.76027i 0.0233915 0.191023i
\(622\) 6.37471i 0.255602i
\(623\) 30.2209 + 18.7790i 1.21077 + 0.752363i
\(624\) −3.52160 7.71123i −0.140977 0.308696i
\(625\) −9.21206 + 8.78368i −0.368482 + 0.351347i
\(626\) 1.36829 3.95341i 0.0546878 0.158010i
\(627\) −7.71479 7.35604i −0.308099 0.293772i
\(628\) −9.99880 + 5.15474i −0.398996 + 0.205697i
\(629\) 4.38675 + 2.00336i 0.174911 + 0.0798793i
\(630\) −6.09848 + 8.84565i −0.242969 + 0.352419i
\(631\) 5.28938 + 8.23043i 0.210567 + 0.327648i 0.930431 0.366466i \(-0.119433\pi\)
−0.719865 + 0.694114i \(0.755796\pi\)
\(632\) −7.47342 + 18.6677i −0.297277 + 0.742561i
\(633\) 0.779800 + 0.991597i 0.0309943 + 0.0394124i
\(634\) 18.3532 + 9.46171i 0.728897 + 0.375772i
\(635\) −2.76027 7.97528i −0.109538 0.316489i
\(636\) −0.946210 + 2.07191i −0.0375197 + 0.0821566i
\(637\) −8.38025 + 22.9294i −0.332038 + 0.908495i
\(638\) 6.42147 + 21.8695i 0.254229 + 0.865823i
\(639\) −15.5611 + 2.99917i −0.615590 + 0.118645i
\(640\) −3.05260 12.5830i −0.120664 0.497386i
\(641\) −10.2993 7.33406i −0.406796 0.289678i 0.358285 0.933612i \(-0.383362\pi\)
−0.765081 + 0.643934i \(0.777301\pi\)
\(642\) 12.1546 + 9.55850i 0.479705 + 0.377244i
\(643\) 36.2457 1.42939 0.714696 0.699435i \(-0.246565\pi\)
0.714696 + 0.699435i \(0.246565\pi\)
\(644\) 0.451437 7.63649i 0.0177891 0.300920i
\(645\) −13.6912 −0.539089
\(646\) 4.24048 + 3.33475i 0.166839 + 0.131204i
\(647\) 26.9614 + 19.1991i 1.05996 + 0.754794i 0.970477 0.241194i \(-0.0775390\pi\)
0.0894833 + 0.995988i \(0.471478\pi\)
\(648\) −0.725336 2.98988i −0.0284939 0.117453i
\(649\) 16.6932 3.21735i 0.655266 0.126292i
\(650\) −7.90158 26.9103i −0.309926 1.05551i
\(651\) −8.33006 + 5.53409i −0.326481 + 0.216898i
\(652\) 1.40630 3.07936i 0.0550749 0.120597i
\(653\) −11.3826 32.8877i −0.445434 1.28700i −0.914769 0.403976i \(-0.867628\pi\)
0.469336 0.883020i \(-0.344493\pi\)
\(654\) −16.1637 8.33294i −0.632049 0.325844i
\(655\) −14.5734 18.5315i −0.569428 0.724087i
\(656\) −0.103351 + 0.258159i −0.00403519 + 0.0100794i
\(657\) −0.0597570 0.0929837i −0.00233134 0.00362764i
\(658\) 2.24504 28.0032i 0.0875208 1.09168i
\(659\) 43.9644 + 20.0779i 1.71261 + 0.782122i 0.996450 + 0.0841847i \(0.0268286\pi\)
0.716159 + 0.697938i \(0.245899\pi\)
\(660\) −7.12027 + 3.67076i −0.277156 + 0.142884i
\(661\) −19.8103 18.8891i −0.770531 0.734700i 0.198912 0.980017i \(-0.436259\pi\)
−0.969443 + 0.245318i \(0.921108\pi\)
\(662\) 4.51290 13.0392i 0.175399 0.506781i
\(663\) 4.17954 3.98519i 0.162320 0.154772i
\(664\) −2.64593 5.79377i −0.102682 0.224842i
\(665\) 22.0917 11.8175i 0.856678 0.458262i
\(666\) 3.44241i 0.133391i
\(667\) 21.5383 10.3870i 0.833968 0.402186i
\(668\) 5.94525 3.43249i 0.230029 0.132807i
\(669\) −26.0821 + 10.4417i −1.00839 + 0.403700i
\(670\) 3.25741 34.1131i 0.125845 1.31790i
\(671\) 12.5667 42.7983i 0.485133 1.65221i
\(672\) −2.57123 8.28862i −0.0991874 0.319741i
\(673\) 22.5215 6.61292i 0.868141 0.254909i 0.182817 0.983147i \(-0.441479\pi\)
0.685324 + 0.728238i \(0.259660\pi\)
\(674\) −3.74453 7.26337i −0.144234 0.279775i
\(675\) −0.646729 6.77285i −0.0248926 0.260687i
\(676\) −0.495532 0.0955059i −0.0190589 0.00367330i
\(677\) −0.198928 4.17601i −0.00764541 0.160497i −0.999461 0.0328204i \(-0.989551\pi\)
0.991816 0.127677i \(-0.0407520\pi\)
\(678\) −2.05634 14.3022i −0.0789733 0.549271i
\(679\) 12.7504 + 49.2763i 0.489315 + 1.89105i
\(680\) 14.7244 9.46278i 0.564654 0.362881i
\(681\) −19.3283 + 6.68958i −0.740661 + 0.256345i
\(682\) 17.2012 1.64251i 0.658668 0.0628951i
\(683\) −1.32987 + 27.9174i −0.0508860 + 1.06823i 0.818629 + 0.574323i \(0.194735\pi\)
−0.869515 + 0.493907i \(0.835568\pi\)
\(684\) −0.391763 + 1.61487i −0.0149794 + 0.0617461i
\(685\) 47.5374 41.1914i 1.81631 1.57384i
\(686\) 10.0699 19.4372i 0.384469 0.742117i
\(687\) 15.5861 7.11792i 0.594646 0.271566i
\(688\) −5.98785 + 7.61417i −0.228285 + 0.290288i
\(689\) 6.58804 + 11.4108i 0.250984 + 0.434717i
\(690\) −11.6268 15.6241i −0.442623 0.594798i
\(691\) −5.20252 3.00368i −0.197913 0.114265i 0.397769 0.917486i \(-0.369785\pi\)
−0.595682 + 0.803221i \(0.703118\pi\)
\(692\) 10.5884 + 1.52239i 0.402512 + 0.0578725i
\(693\) 8.78273 5.25030i 0.333628 0.199442i
\(694\) −33.9102 9.95693i −1.28721 0.377960i
\(695\) 0.864853 + 4.48728i 0.0328058 + 0.170212i
\(696\) 10.5858 11.1021i 0.401254 0.420823i
\(697\) −0.189220 0.00901365i −0.00716721 0.000341416i
\(698\) 11.7973 8.40085i 0.446536 0.317977i
\(699\) −10.1866 8.82676i −0.385293 0.333859i
\(700\) −1.70757 10.7173i −0.0645400 0.405077i
\(701\) −4.19665 + 0.603388i −0.158505 + 0.0227896i −0.221111 0.975249i \(-0.570968\pi\)
0.0626052 + 0.998038i \(0.480059\pi\)
\(702\) −3.82697 1.53209i −0.144440 0.0578249i
\(703\) −3.67827 + 7.13485i −0.138729 + 0.269096i
\(704\) −6.39595 + 33.1853i −0.241056 + 1.25072i
\(705\) 17.9025 + 25.1405i 0.674246 + 0.946846i
\(706\) 16.7655 26.0877i 0.630980 0.981823i
\(707\) −24.7060 + 32.4185i −0.929167 + 1.21922i
\(708\) −1.73548 2.00285i −0.0652233 0.0752717i
\(709\) 29.5215 + 30.9613i 1.10870 + 1.16278i 0.985373 + 0.170409i \(0.0545090\pi\)
0.123330 + 0.992366i \(0.460642\pi\)
\(710\) −37.3298 + 52.4224i −1.40096 + 1.96738i
\(711\) 2.42912 + 6.06764i 0.0910990 + 0.227554i
\(712\) −20.6872 + 35.8312i −0.775284 + 1.34283i
\(713\) −4.64200 17.5236i −0.173844 0.656264i
\(714\) −4.17205 + 3.06753i −0.156135 + 0.114799i
\(715\) −6.59487 + 45.8683i −0.246634 + 1.71538i
\(716\) −4.01149 0.383051i −0.149917 0.0143153i
\(717\) −19.4465 + 4.71767i −0.726243 + 0.176185i
\(718\) −13.8713 4.80092i −0.517674 0.179169i
\(719\) −19.3699 4.69909i −0.722376 0.175246i −0.142317 0.989821i \(-0.545455\pi\)
−0.580059 + 0.814575i \(0.696970\pi\)
\(720\) −7.02545 4.51498i −0.261823 0.168263i
\(721\) −26.2606 29.3916i −0.977996 1.09460i
\(722\) 8.82651 10.1863i 0.328489 0.379096i
\(723\) 19.3896 0.923642i 0.721108 0.0343506i
\(724\) −8.45517 + 6.64922i −0.314234 + 0.247116i
\(725\) 26.6654 20.9699i 0.990329 0.778803i
\(726\) −4.67235 + 0.222571i −0.173407 + 0.00826039i
\(727\) 7.89834 9.11517i 0.292933 0.338063i −0.590138 0.807303i \(-0.700927\pi\)
0.883071 + 0.469240i \(0.155472\pi\)
\(728\) −26.9650 8.87608i −0.999389 0.328970i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) −0.436200 0.105821i −0.0161445 0.00391661i
\(731\) −6.23584 2.15824i −0.230641 0.0798255i
\(732\) −6.75736 + 1.63932i −0.249759 + 0.0605910i
\(733\) 25.3378 + 2.41947i 0.935874 + 0.0893652i 0.551837 0.833952i \(-0.313927\pi\)
0.384038 + 0.923317i \(0.374533\pi\)
\(734\) −4.01550 + 27.9284i −0.148215 + 1.03086i
\(735\) 5.26708 + 23.4657i 0.194279 + 0.865544i
\(736\) 15.7251 + 0.419127i 0.579636 + 0.0154492i
\(737\) −16.3180 + 28.2636i −0.601082 + 1.04110i
\(738\) 0.0502565 + 0.125535i 0.00184997 + 0.00462099i
\(739\) 23.6893 33.2669i 0.871424 1.22374i −0.102012 0.994783i \(-0.532528\pi\)
0.973436 0.228961i \(-0.0735327\pi\)
\(740\) 4.16287 + 4.36589i 0.153030 + 0.160493i
\(741\) 6.29485 + 7.26464i 0.231247 + 0.266873i
\(742\) −4.55737 10.9006i −0.167306 0.400173i
\(743\) −8.42720 + 13.1130i −0.309164 + 0.481069i −0.960715 0.277536i \(-0.910482\pi\)
0.651551 + 0.758605i \(0.274119\pi\)
\(744\) −6.74571 9.47302i −0.247310 0.347298i
\(745\) −12.2066 + 63.3336i −0.447213 + 2.32036i
\(746\) 1.42427 2.76270i 0.0521463 0.101150i
\(747\) −1.92196 0.769437i −0.0703208 0.0281522i
\(748\) −3.82168 + 0.549475i −0.139734 + 0.0200908i
\(749\) 34.1806 5.44592i 1.24893 0.198989i
\(750\) −5.53549 4.79653i −0.202128 0.175144i
\(751\) 0.463311 0.329922i 0.0169064 0.0120390i −0.571572 0.820552i \(-0.693666\pi\)
0.588479 + 0.808513i \(0.299727\pi\)
\(752\) 21.8113 + 1.03900i 0.795375 + 0.0378884i
\(753\) 13.5542 14.2152i 0.493941 0.518031i
\(754\) −3.88980 20.1822i −0.141658 0.734993i
\(755\) −27.1561 7.97374i −0.988311 0.290194i
\(756\) −1.39336 0.776461i −0.0506760 0.0282396i
\(757\) 44.2091 + 6.35631i 1.60681 + 0.231024i 0.886533 0.462666i \(-0.153107\pi\)
0.720274 + 0.693690i \(0.244016\pi\)
\(758\) −4.76435 2.75070i −0.173049 0.0999098i
\(759\) 3.89100 + 18.1351i 0.141234 + 0.658261i
\(760\) 14.5669 + 25.2306i 0.528396 + 0.915209i
\(761\) −3.91941 + 4.98394i −0.142079 + 0.180668i −0.851885 0.523730i \(-0.824540\pi\)
0.709806 + 0.704397i \(0.248783\pi\)
\(762\) −2.64111 + 1.20615i −0.0956773 + 0.0436944i
\(763\) −38.2598 + 13.8966i −1.38510 + 0.503089i
\(764\) −3.97276 + 3.44242i −0.143730 + 0.124542i
\(765\) 1.34124 5.52867i 0.0484927 0.199890i
\(766\) −0.970552 + 20.3744i −0.0350675 + 0.736157i
\(767\) −15.2609 + 1.45724i −0.551039 + 0.0526178i
\(768\) 12.3062 4.25922i 0.444062 0.153691i
\(769\) −2.39609 + 1.53987i −0.0864051 + 0.0555292i −0.583130 0.812379i \(-0.698172\pi\)
0.496725 + 0.867908i \(0.334536\pi\)
\(770\) 11.0994 40.0430i 0.399996 1.44305i
\(771\) 0.623165 + 4.33421i 0.0224427 + 0.156093i
\(772\) −0.508187 10.6682i −0.0182901 0.383955i
\(773\) −17.5303 3.37869i