Properties

Label 588.2.x.a.55.7
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.7
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.11034 - 0.875865i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(0.465720 + 1.94502i) q^{4} +(0.698680 - 1.45082i) q^{5} +(0.620360 + 1.27089i) q^{6} +(1.90070 - 1.84047i) q^{7} +(1.18647 - 2.56755i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-1.11034 - 0.875865i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(0.465720 + 1.94502i) q^{4} +(0.698680 - 1.45082i) q^{5} +(0.620360 + 1.27089i) q^{6} +(1.90070 - 1.84047i) q^{7} +(1.18647 - 2.56755i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-2.04650 + 0.998961i) q^{10} +(0.316930 + 0.252743i) q^{11} +(0.424314 - 1.95447i) q^{12} +(4.51924 + 3.60397i) q^{13} +(-3.72243 + 0.378795i) q^{14} +(-1.25898 + 1.00400i) q^{15} +(-3.56621 + 1.81167i) q^{16} +(0.218782 + 0.0499357i) q^{17} +(-0.00750799 - 1.41419i) q^{18} +0.409096 q^{19} +(3.14727 + 0.683269i) q^{20} +(-2.51102 + 0.833524i) q^{21} +(-0.130532 - 0.558220i) q^{22} +(0.361818 - 0.0825826i) q^{23} +(-2.18299 + 1.79849i) q^{24} +(1.50071 + 1.88184i) q^{25} +(-1.86131 - 7.95989i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(4.46495 + 2.83976i) q^{28} +(1.16030 - 5.08362i) q^{29} +(2.27727 - 0.0120901i) q^{30} -1.31467 q^{31} +(5.54649 + 1.11195i) q^{32} +(-0.175883 - 0.365225i) q^{33} +(-0.199187 - 0.247070i) q^{34} +(-1.34222 - 4.04348i) q^{35} +(-1.23031 + 1.57681i) q^{36} +(1.78551 - 7.82283i) q^{37} +(-0.454237 - 0.358313i) q^{38} +(-2.50799 - 5.20789i) q^{39} +(-2.89610 - 3.51525i) q^{40} +(2.15991 - 4.48510i) q^{41} +(3.51815 + 1.27382i) q^{42} +(3.03663 + 6.30562i) q^{43} +(-0.343990 + 0.734143i) q^{44} +(1.56992 - 0.358324i) q^{45} +(-0.474073 - 0.225209i) q^{46} +(1.19163 - 1.49426i) q^{47} +(3.99910 - 0.0849372i) q^{48} +(0.225330 - 6.99637i) q^{49} +(-0.0180714 - 3.40390i) q^{50} +(-0.175450 - 0.139917i) q^{51} +(-4.90510 + 10.4685i) q^{52} +(-2.01447 - 8.82596i) q^{53} +(-0.606831 + 1.27740i) q^{54} +(0.588119 - 0.283223i) q^{55} +(-2.47038 - 7.06380i) q^{56} +(-0.368583 - 0.177500i) q^{57} +(-5.74090 + 4.62829i) q^{58} +(-4.95237 + 2.38494i) q^{59} +(-2.53913 - 1.98115i) q^{60} +(-6.33074 - 1.44495i) q^{61} +(1.45974 + 1.15148i) q^{62} +(2.62401 + 0.338513i) q^{63} +(-5.18459 - 6.09262i) q^{64} +(8.38623 - 4.03860i) q^{65} +(-0.124597 + 0.559574i) q^{66} -11.1359i q^{67} +(0.00476544 + 0.448792i) q^{68} +(-0.361818 - 0.0825826i) q^{69} +(-2.05122 + 5.66525i) q^{70} +(3.45027 - 0.787501i) q^{71} +(2.74714 - 0.673221i) q^{72} +(-9.75985 + 7.78322i) q^{73} +(-8.83427 + 7.12215i) q^{74} +(-0.535599 - 2.34661i) q^{75} +(0.190524 + 0.795700i) q^{76} +(1.06756 - 0.102911i) q^{77} +(-1.77669 + 7.97921i) q^{78} +4.62448i q^{79} +(0.136774 + 6.43972i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-6.32659 + 3.08821i) q^{82} +(-0.804695 - 1.00906i) q^{83} +(-2.79065 - 4.49580i) q^{84} +(0.225307 - 0.282526i) q^{85} +(2.15118 - 9.66108i) q^{86} +(-3.25110 + 4.07675i) q^{87} +(1.02496 - 0.513861i) q^{88} +(2.38298 - 1.90036i) q^{89} +(-2.05699 - 0.977176i) q^{90} +(15.2227 - 1.46745i) q^{91} +(0.329131 + 0.665283i) q^{92} +(1.18448 + 0.570416i) q^{93} +(-2.63189 + 0.615429i) q^{94} +(0.285827 - 0.593526i) q^{95} +(-4.51476 - 3.40836i) q^{96} +11.4686i q^{97} +(-6.37807 + 7.57101i) q^{98} +0.405369i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.11034 0.875865i −0.785131 0.619330i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) 0.465720 + 1.94502i 0.232860 + 0.972510i
\(5\) 0.698680 1.45082i 0.312459 0.648828i −0.684306 0.729195i \(-0.739895\pi\)
0.996765 + 0.0803667i \(0.0256091\pi\)
\(6\) 0.620360 + 1.27089i 0.253261 + 0.518837i
\(7\) 1.90070 1.84047i 0.718398 0.695633i
\(8\) 1.18647 2.56755i 0.419480 0.907765i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −2.04650 + 0.998961i −0.647160 + 0.315899i
\(11\) 0.316930 + 0.252743i 0.0955581 + 0.0762050i 0.670103 0.742268i \(-0.266250\pi\)
−0.574545 + 0.818473i \(0.694821\pi\)
\(12\) 0.424314 1.95447i 0.122489 0.564207i
\(13\) 4.51924 + 3.60397i 1.25341 + 0.999563i 0.999477 + 0.0323413i \(0.0102964\pi\)
0.253935 + 0.967221i \(0.418275\pi\)
\(14\) −3.72243 + 0.378795i −0.994862 + 0.101237i
\(15\) −1.25898 + 1.00400i −0.325067 + 0.259232i
\(16\) −3.56621 + 1.81167i −0.891553 + 0.452917i
\(17\) 0.218782 + 0.0499357i 0.0530625 + 0.0121112i 0.248970 0.968511i \(-0.419908\pi\)
−0.195907 + 0.980622i \(0.562765\pi\)
\(18\) −0.00750799 1.41419i −0.00176965 0.333329i
\(19\) 0.409096 0.0938531 0.0469265 0.998898i \(-0.485057\pi\)
0.0469265 + 0.998898i \(0.485057\pi\)
\(20\) 3.14727 + 0.683269i 0.703751 + 0.152784i
\(21\) −2.51102 + 0.833524i −0.547950 + 0.181890i
\(22\) −0.130532 0.558220i −0.0278295 0.119013i
\(23\) 0.361818 0.0825826i 0.0754443 0.0172197i −0.184632 0.982808i \(-0.559109\pi\)
0.260076 + 0.965588i \(0.416252\pi\)
\(24\) −2.18299 + 1.79849i −0.445600 + 0.367115i
\(25\) 1.50071 + 1.88184i 0.300143 + 0.376367i
\(26\) −1.86131 7.95989i −0.365033 1.56106i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) 4.46495 + 2.83976i 0.843796 + 0.536664i
\(29\) 1.16030 5.08362i 0.215463 0.944005i −0.745321 0.666706i \(-0.767704\pi\)
0.960784 0.277299i \(-0.0894391\pi\)
\(30\) 2.27727 0.0120901i 0.415770 0.00220733i
\(31\) −1.31467 −0.236122 −0.118061 0.993006i \(-0.537668\pi\)
−0.118061 + 0.993006i \(0.537668\pi\)
\(32\) 5.54649 + 1.11195i 0.980491 + 0.196566i
\(33\) −0.175883 0.365225i −0.0306173 0.0635775i
\(34\) −0.199187 0.247070i −0.0341602 0.0423721i
\(35\) −1.34222 4.04348i −0.226876 0.683473i
\(36\) −1.23031 + 1.57681i −0.205051 + 0.262802i
\(37\) 1.78551 7.82283i 0.293536 1.28607i −0.586030 0.810289i \(-0.699310\pi\)
0.879566 0.475776i \(-0.157833\pi\)
\(38\) −0.454237 0.358313i −0.0736869 0.0581261i
\(39\) −2.50799 5.20789i −0.401600 0.833930i
\(40\) −2.89610 3.51525i −0.457913 0.555809i
\(41\) 2.15991 4.48510i 0.337321 0.700455i −0.661451 0.749988i \(-0.730059\pi\)
0.998772 + 0.0495331i \(0.0157733\pi\)
\(42\) 3.51815 + 1.27382i 0.542862 + 0.196555i
\(43\) 3.03663 + 6.30562i 0.463081 + 0.961598i 0.993497 + 0.113861i \(0.0363217\pi\)
−0.530415 + 0.847738i \(0.677964\pi\)
\(44\) −0.343990 + 0.734143i −0.0518585 + 0.110676i
\(45\) 1.56992 0.358324i 0.234030 0.0534158i
\(46\) −0.474073 0.225209i −0.0698983 0.0332052i
\(47\) 1.19163 1.49426i 0.173817 0.217960i −0.687290 0.726383i \(-0.741200\pi\)
0.861107 + 0.508423i \(0.169771\pi\)
\(48\) 3.99910 0.0849372i 0.577220 0.0122596i
\(49\) 0.225330 6.99637i 0.0321901 0.999482i
\(50\) −0.0180714 3.40390i −0.00255568 0.481385i
\(51\) −0.175450 0.139917i −0.0245679 0.0195923i
\(52\) −4.90510 + 10.4685i −0.680216 + 1.45171i
\(53\) −2.01447 8.82596i −0.276708 1.21234i −0.901927 0.431889i \(-0.857847\pi\)
0.625219 0.780450i \(-0.285010\pi\)
\(54\) −0.606831 + 1.27740i −0.0825793 + 0.173832i
\(55\) 0.588119 0.283223i 0.0793019 0.0381898i
\(56\) −2.47038 7.06380i −0.330118 0.943940i
\(57\) −0.368583 0.177500i −0.0488200 0.0235105i
\(58\) −5.74090 + 4.62829i −0.753817 + 0.607724i
\(59\) −4.95237 + 2.38494i −0.644744 + 0.310492i −0.727531 0.686075i \(-0.759332\pi\)
0.0827870 + 0.996567i \(0.473618\pi\)
\(60\) −2.53913 1.98115i −0.327801 0.255766i
\(61\) −6.33074 1.44495i −0.810568 0.185007i −0.202902 0.979199i \(-0.565037\pi\)
−0.607667 + 0.794192i \(0.707894\pi\)
\(62\) 1.45974 + 1.15148i 0.185387 + 0.146238i
\(63\) 2.62401 + 0.338513i 0.330594 + 0.0426486i
\(64\) −5.18459 6.09262i −0.648074 0.761578i
\(65\) 8.38623 4.03860i 1.04018 0.500926i
\(66\) −0.124597 + 0.559574i −0.0153369 + 0.0688788i
\(67\) 11.1359i 1.36047i −0.732995 0.680234i \(-0.761878\pi\)
0.732995 0.680234i \(-0.238122\pi\)
\(68\) 0.00476544 + 0.448792i 0.000577894 + 0.0544241i
\(69\) −0.361818 0.0825826i −0.0435578 0.00994178i
\(70\) −2.05122 + 5.66525i −0.245168 + 0.677127i
\(71\) 3.45027 0.787501i 0.409471 0.0934591i −0.0128234 0.999918i \(-0.504082\pi\)
0.422295 + 0.906459i \(0.361225\pi\)
\(72\) 2.74714 0.673221i 0.323753 0.0793399i
\(73\) −9.75985 + 7.78322i −1.14230 + 0.910957i −0.996921 0.0784182i \(-0.975013\pi\)
−0.145384 + 0.989375i \(0.546442\pi\)
\(74\) −8.83427 + 7.12215i −1.02696 + 0.827933i
\(75\) −0.535599 2.34661i −0.0618456 0.270963i
\(76\) 0.190524 + 0.795700i 0.0218546 + 0.0912731i
\(77\) 1.06756 0.102911i 0.121659 0.0117278i
\(78\) −1.77669 + 7.97921i −0.201170 + 0.903467i
\(79\) 4.62448i 0.520295i 0.965569 + 0.260147i \(0.0837711\pi\)
−0.965569 + 0.260147i \(0.916229\pi\)
\(80\) 0.136774 + 6.43972i 0.0152918 + 0.719982i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −6.32659 + 3.08821i −0.698655 + 0.341035i
\(83\) −0.804695 1.00906i −0.0883268 0.110758i 0.735704 0.677303i \(-0.236851\pi\)
−0.824031 + 0.566545i \(0.808280\pi\)
\(84\) −2.79065 4.49580i −0.304485 0.490532i
\(85\) 0.225307 0.282526i 0.0244379 0.0306442i
\(86\) 2.15118 9.66108i 0.231968 1.04178i
\(87\) −3.25110 + 4.07675i −0.348554 + 0.437073i
\(88\) 1.02496 0.513861i 0.109261 0.0547778i
\(89\) 2.38298 1.90036i 0.252595 0.201438i −0.489003 0.872282i \(-0.662639\pi\)
0.741599 + 0.670844i \(0.234068\pi\)
\(90\) −2.05699 0.977176i −0.216826 0.103003i
\(91\) 15.2227 1.46745i 1.59578 0.153831i
\(92\) 0.329131 + 0.665283i 0.0343143 + 0.0693606i
\(93\) 1.18448 + 0.570416i 0.122825 + 0.0591494i
\(94\) −2.63189 + 0.615429i −0.271458 + 0.0634767i
\(95\) 0.285827 0.593526i 0.0293252 0.0608945i
\(96\) −4.51476 3.40836i −0.460786 0.347864i
\(97\) 11.4686i 1.16446i 0.813025 + 0.582228i \(0.197819\pi\)
−0.813025 + 0.582228i \(0.802181\pi\)
\(98\) −6.37807 + 7.57101i −0.644283 + 0.764787i
\(99\) 0.405369i 0.0407411i
\(100\) −2.96130 + 3.79533i −0.296130 + 0.379533i
\(101\) 2.11780 4.39766i 0.210729 0.437583i −0.768635 0.639688i \(-0.779064\pi\)
0.979364 + 0.202104i \(0.0647780\pi\)
\(102\) 0.0722613 + 0.309026i 0.00715494 + 0.0305981i
\(103\) 7.35075 + 3.53994i 0.724291 + 0.348800i 0.759436 0.650582i \(-0.225475\pi\)
−0.0351449 + 0.999382i \(0.511189\pi\)
\(104\) 14.6153 7.32736i 1.43315 0.718507i
\(105\) −0.545105 + 4.22542i −0.0531968 + 0.412359i
\(106\) −5.49360 + 11.5642i −0.533586 + 1.12322i
\(107\) −15.5051 + 12.3649i −1.49894 + 1.19536i −0.571943 + 0.820293i \(0.693810\pi\)
−0.926996 + 0.375071i \(0.877618\pi\)
\(108\) 1.79262 0.886851i 0.172495 0.0853373i
\(109\) 8.16907 10.2437i 0.782455 0.981168i −0.217532 0.976053i \(-0.569801\pi\)
0.999987 0.00511469i \(-0.00162806\pi\)
\(110\) −0.901078 0.200638i −0.0859145 0.0191301i
\(111\) −5.00289 + 6.27342i −0.474853 + 0.595447i
\(112\) −3.44397 + 10.0069i −0.325425 + 0.945568i
\(113\) 13.0718 + 16.3915i 1.22969 + 1.54198i 0.744589 + 0.667523i \(0.232646\pi\)
0.485100 + 0.874458i \(0.338783\pi\)
\(114\) 0.253787 + 0.519915i 0.0237693 + 0.0486945i
\(115\) 0.132982 0.582633i 0.0124007 0.0543308i
\(116\) 10.4281 0.110729i 0.968227 0.0102810i
\(117\) 5.78033i 0.534391i
\(118\) 7.58771 + 1.68951i 0.698505 + 0.155532i
\(119\) 0.507745 0.307750i 0.0465449 0.0282114i
\(120\) 1.08408 + 4.42370i 0.0989628 + 0.403826i
\(121\) −2.41116 10.5640i −0.219197 0.960364i
\(122\) 5.76371 + 7.14927i 0.521822 + 0.647264i
\(123\) −3.89203 + 3.10379i −0.350932 + 0.279859i
\(124\) −0.612270 2.55707i −0.0549835 0.229632i
\(125\) 11.6283 2.65409i 1.04007 0.237389i
\(126\) −2.61705 2.67414i −0.233146 0.238231i
\(127\) 12.5561 + 2.86585i 1.11417 + 0.254303i 0.739701 0.672935i \(-0.234967\pi\)
0.374472 + 0.927238i \(0.377824\pi\)
\(128\) 0.420353 + 11.3059i 0.0371543 + 0.999310i
\(129\) 6.99871i 0.616202i
\(130\) −12.8489 2.86099i −1.12692 0.250925i
\(131\) −0.508139 + 0.244707i −0.0443963 + 0.0213801i −0.455950 0.890005i \(-0.650700\pi\)
0.411554 + 0.911385i \(0.364986\pi\)
\(132\) 0.628458 0.512189i 0.0547002 0.0445803i
\(133\) 0.777569 0.752930i 0.0674238 0.0652873i
\(134\) −9.75356 + 12.3647i −0.842579 + 1.06815i
\(135\) −1.56992 0.358324i −0.135117 0.0308396i
\(136\) 0.387791 0.502487i 0.0332528 0.0430879i
\(137\) 0.0473135 0.0227850i 0.00404227 0.00194665i −0.431862 0.901940i \(-0.642143\pi\)
0.435904 + 0.899993i \(0.356429\pi\)
\(138\) 0.329411 + 0.408599i 0.0280413 + 0.0347822i
\(139\) −16.1047 7.75564i −1.36599 0.657825i −0.400024 0.916505i \(-0.630998\pi\)
−0.965963 + 0.258680i \(0.916712\pi\)
\(140\) 7.23956 4.49377i 0.611854 0.379793i
\(141\) −1.72196 + 0.829250i −0.145015 + 0.0698355i
\(142\) −4.52072 2.14757i −0.379370 0.180220i
\(143\) 0.521403 + 2.28442i 0.0436019 + 0.191033i
\(144\) −3.63992 1.65862i −0.303326 0.138218i
\(145\) −6.56476 5.23522i −0.545173 0.434761i
\(146\) 17.6538 0.0937246i 1.46104 0.00775670i
\(147\) −3.23863 + 6.20575i −0.267118 + 0.511841i
\(148\) 16.0471 0.170394i 1.31906 0.0140063i
\(149\) −4.82331 + 6.04824i −0.395141 + 0.495491i −0.939111 0.343613i \(-0.888349\pi\)
0.543970 + 0.839105i \(0.316920\pi\)
\(150\) −1.46062 + 3.07465i −0.119259 + 0.251044i
\(151\) 16.2311 3.70464i 1.32087 0.301479i 0.496747 0.867895i \(-0.334528\pi\)
0.824120 + 0.566416i \(0.191670\pi\)
\(152\) 0.485379 1.05037i 0.0393695 0.0851965i
\(153\) 0.0973674 + 0.202185i 0.00787169 + 0.0163457i
\(154\) −1.27549 0.820769i −0.102782 0.0661395i
\(155\) −0.918536 + 1.90736i −0.0737786 + 0.153203i
\(156\) 8.96144 7.30351i 0.717489 0.584749i
\(157\) 5.66299 + 11.7593i 0.451955 + 0.938495i 0.995102 + 0.0988570i \(0.0315186\pi\)
−0.543146 + 0.839638i \(0.682767\pi\)
\(158\) 4.05042 5.13476i 0.322234 0.408499i
\(159\) −2.01447 + 8.82596i −0.159758 + 0.699944i
\(160\) 5.48846 7.27009i 0.433901 0.574751i
\(161\) 0.535717 0.822881i 0.0422204 0.0648521i
\(162\) 1.10098 0.887605i 0.0865012 0.0697369i
\(163\) −1.67839 3.48521i −0.131462 0.272983i 0.824839 0.565367i \(-0.191266\pi\)
−0.956301 + 0.292384i \(0.905551\pi\)
\(164\) 9.72953 + 2.11227i 0.759749 + 0.164941i
\(165\) −0.652763 −0.0508175
\(166\) 0.00969004 + 1.82520i 0.000752093 + 0.141663i
\(167\) −1.36773 + 5.99244i −0.105839 + 0.463709i 0.894038 + 0.447991i \(0.147860\pi\)
−0.999876 + 0.0157176i \(0.994997\pi\)
\(168\) −0.839136 + 7.43612i −0.0647408 + 0.573709i
\(169\) 4.54213 + 19.9004i 0.349395 + 1.53080i
\(170\) −0.497622 + 0.116362i −0.0381659 + 0.00892455i
\(171\) 0.255067 + 0.319844i 0.0195055 + 0.0244591i
\(172\) −10.8503 + 8.84296i −0.827331 + 0.674269i
\(173\) −24.7497 + 5.64895i −1.88168 + 0.429482i −0.999167 0.0408013i \(-0.987009\pi\)
−0.882516 + 0.470283i \(0.844152\pi\)
\(174\) 7.18051 1.67906i 0.544353 0.127289i
\(175\) 6.31587 + 0.814786i 0.477435 + 0.0615921i
\(176\) −1.58813 0.327163i −0.119710 0.0246609i
\(177\) 5.49672 0.413159
\(178\) −4.31038 + 0.0228839i −0.323077 + 0.00171522i
\(179\) 2.33966 + 0.534012i 0.174874 + 0.0399139i 0.309061 0.951042i \(-0.399985\pi\)
−0.134187 + 0.990956i \(0.542842\pi\)
\(180\) 1.42809 + 2.88665i 0.106444 + 0.215158i
\(181\) −13.8478 + 11.0432i −1.02930 + 0.820837i −0.984006 0.178137i \(-0.942993\pi\)
−0.0452911 + 0.998974i \(0.514422\pi\)
\(182\) −18.1877 11.7037i −1.34817 0.867535i
\(183\) 5.07686 + 4.04866i 0.375292 + 0.299286i
\(184\) 0.217251 1.02697i 0.0160159 0.0757090i
\(185\) −10.1020 8.05611i −0.742717 0.592297i
\(186\) −0.815572 1.67080i −0.0598006 0.122509i
\(187\) 0.0567179 + 0.0711220i 0.00414762 + 0.00520095i
\(188\) 3.46133 + 1.62184i 0.252443 + 0.118285i
\(189\) −2.21727 1.44350i −0.161283 0.104999i
\(190\) −0.837215 + 0.408671i −0.0607380 + 0.0296481i
\(191\) −8.64555 + 17.9527i −0.625570 + 1.29901i 0.311625 + 0.950205i \(0.399127\pi\)
−0.937195 + 0.348805i \(0.886588\pi\)
\(192\) 2.02766 + 7.73877i 0.146334 + 0.558498i
\(193\) 8.52289 + 4.10441i 0.613491 + 0.295442i 0.714708 0.699423i \(-0.246559\pi\)
−0.101217 + 0.994864i \(0.532274\pi\)
\(194\) 10.0449 12.7340i 0.721183 0.914250i
\(195\) −9.30802 −0.666561
\(196\) 13.7130 2.82008i 0.979502 0.201434i
\(197\) −4.09526 −0.291775 −0.145888 0.989301i \(-0.546604\pi\)
−0.145888 + 0.989301i \(0.546604\pi\)
\(198\) 0.355049 0.450098i 0.0252322 0.0319871i
\(199\) −13.9864 6.73550i −0.991470 0.477467i −0.133435 0.991058i \(-0.542601\pi\)
−0.858035 + 0.513591i \(0.828315\pi\)
\(200\) 6.61225 1.62042i 0.467557 0.114581i
\(201\) −4.83169 + 10.0331i −0.340801 + 0.707681i
\(202\) −6.20324 + 3.02800i −0.436459 + 0.213049i
\(203\) −7.15087 11.7979i −0.501893 0.828054i
\(204\) 0.190430 0.406416i 0.0133328 0.0284548i
\(205\) −4.99800 6.26730i −0.349076 0.437727i
\(206\) −5.06134 10.3688i −0.352641 0.722429i
\(207\) 0.290156 + 0.231391i 0.0201672 + 0.0160828i
\(208\) −22.6458 4.66516i −1.57020 0.323471i
\(209\) 0.129655 + 0.103396i 0.00896842 + 0.00715207i
\(210\) 4.30615 4.21422i 0.297153 0.290809i
\(211\) 12.2368 9.75853i 0.842417 0.671805i −0.104062 0.994571i \(-0.533184\pi\)
0.946479 + 0.322766i \(0.104613\pi\)
\(212\) 16.2285 8.02860i 1.11458 0.551407i
\(213\) −3.45027 0.787501i −0.236408 0.0539587i
\(214\) 28.0460 0.148897i 1.91719 0.0101784i
\(215\) 11.2700 0.768606
\(216\) −2.76719 0.585388i −0.188283 0.0398306i
\(217\) −2.49880 + 2.41962i −0.169630 + 0.164255i
\(218\) −18.0426 + 4.21900i −1.22200 + 0.285747i
\(219\) 12.1703 2.77780i 0.822395 0.187706i
\(220\) 0.824773 + 1.01200i 0.0556062 + 0.0682291i
\(221\) 0.808764 + 1.01416i 0.0544033 + 0.0682196i
\(222\) 11.0496 2.58379i 0.741600 0.173413i
\(223\) 2.00612 + 8.78939i 0.134340 + 0.588581i 0.996620 + 0.0821497i \(0.0261786\pi\)
−0.862280 + 0.506432i \(0.830964\pi\)
\(224\) 12.5887 8.09468i 0.841120 0.540849i
\(225\) −0.535599 + 2.34661i −0.0357066 + 0.156441i
\(226\) −0.157409 29.6493i −0.0104707 1.97224i
\(227\) −26.2491 −1.74222 −0.871108 0.491091i \(-0.836598\pi\)
−0.871108 + 0.491091i \(0.836598\pi\)
\(228\) 0.173585 0.799566i 0.0114960 0.0529526i
\(229\) −0.655831 1.36185i −0.0433386 0.0899934i 0.878175 0.478339i \(-0.158761\pi\)
−0.921514 + 0.388346i \(0.873047\pi\)
\(230\) −0.657964 + 0.530447i −0.0433848 + 0.0349767i
\(231\) −1.00649 0.370476i −0.0662220 0.0243755i
\(232\) −11.6758 9.01068i −0.766552 0.591580i
\(233\) 2.42304 10.6161i 0.158739 0.695481i −0.831433 0.555625i \(-0.812479\pi\)
0.990172 0.139856i \(-0.0446638\pi\)
\(234\) 5.06279 6.41814i 0.330965 0.419567i
\(235\) −1.33534 2.77285i −0.0871077 0.180881i
\(236\) −6.94517 8.52175i −0.452092 0.554719i
\(237\) 2.00649 4.16651i 0.130335 0.270644i
\(238\) −0.833319 0.103009i −0.0540160 0.00667705i
\(239\) 0.301457 + 0.625982i 0.0194997 + 0.0404914i 0.910491 0.413528i \(-0.135704\pi\)
−0.890992 + 0.454020i \(0.849989\pi\)
\(240\) 2.67086 5.86133i 0.172403 0.378347i
\(241\) 15.5375 3.54633i 1.00086 0.228439i 0.309459 0.950913i \(-0.399852\pi\)
0.691399 + 0.722474i \(0.256995\pi\)
\(242\) −6.57543 + 13.8415i −0.422684 + 0.889766i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) −0.137894 12.9864i −0.00882774 0.831367i
\(245\) −9.99307 5.21514i −0.638434 0.333183i
\(246\) 7.03998 0.0373754i 0.448853 0.00238297i
\(247\) 1.84880 + 1.47437i 0.117637 + 0.0938120i
\(248\) −1.55982 + 3.37549i −0.0990486 + 0.214344i
\(249\) 0.287192 + 1.25827i 0.0182001 + 0.0797397i
\(250\) −15.2360 7.23790i −0.963612 0.457765i
\(251\) 16.0446 7.72666i 1.01272 0.487702i 0.147487 0.989064i \(-0.452882\pi\)
0.865238 + 0.501362i \(0.167167\pi\)
\(252\) 0.563637 + 5.26140i 0.0355058 + 0.331437i
\(253\) 0.135543 + 0.0652742i 0.00852153 + 0.00410375i
\(254\) −11.4315 14.1795i −0.717274 0.889703i
\(255\) −0.325578 + 0.156790i −0.0203885 + 0.00981857i
\(256\) 9.43571 12.9216i 0.589732 0.807599i
\(257\) −5.03623 1.14949i −0.314151 0.0717030i 0.0625382 0.998043i \(-0.480080\pi\)
−0.376690 + 0.926340i \(0.622938\pi\)
\(258\) −6.12993 + 7.77097i −0.381633 + 0.483799i
\(259\) −11.0040 18.1550i −0.683754 1.12810i
\(260\) 11.7608 + 14.4305i 0.729373 + 0.894944i
\(261\) 4.69797 2.26242i 0.290797 0.140041i
\(262\) 0.778538 + 0.173353i 0.0480982 + 0.0107098i
\(263\) 9.30133i 0.573544i 0.957999 + 0.286772i \(0.0925823\pi\)
−0.957999 + 0.286772i \(0.907418\pi\)
\(264\) −1.14641 + 0.0182603i −0.0705567 + 0.00112385i
\(265\) −14.2124 3.24388i −0.873059 0.199270i
\(266\) −1.52283 + 0.154963i −0.0933709 + 0.00950142i
\(267\) −2.97153 + 0.678231i −0.181854 + 0.0415071i
\(268\) 21.6596 5.18622i 1.32307 0.316799i
\(269\) −24.4524 + 19.5001i −1.49089 + 1.18894i −0.557444 + 0.830215i \(0.688218\pi\)
−0.933442 + 0.358728i \(0.883211\pi\)
\(270\) 1.42930 + 1.77290i 0.0869847 + 0.107895i
\(271\) 3.76773 + 16.5075i 0.228873 + 1.00276i 0.950560 + 0.310540i \(0.100510\pi\)
−0.721687 + 0.692220i \(0.756633\pi\)
\(272\) −0.870691 + 0.218280i −0.0527934 + 0.0132352i
\(273\) −14.3519 5.28277i −0.868618 0.319728i
\(274\) −0.0724908 0.0161411i −0.00437933 0.000975121i
\(275\) 0.975706i 0.0588373i
\(276\) −0.00788098 0.742204i −0.000474379 0.0446754i
\(277\) 2.11285 9.25700i 0.126949 0.556199i −0.870948 0.491375i \(-0.836494\pi\)
0.997897 0.0648239i \(-0.0206486\pi\)
\(278\) 11.0889 + 22.7170i 0.665067 + 1.36248i
\(279\) −0.819686 1.02785i −0.0490733 0.0615360i
\(280\) −11.9743 1.35125i −0.715603 0.0807529i
\(281\) −8.03731 + 10.0785i −0.479466 + 0.601231i −0.961460 0.274943i \(-0.911341\pi\)
0.481995 + 0.876174i \(0.339912\pi\)
\(282\) 2.63827 + 0.587450i 0.157107 + 0.0349821i
\(283\) 19.1585 24.0240i 1.13886 1.42808i 0.250982 0.967992i \(-0.419246\pi\)
0.887873 0.460088i \(-0.152182\pi\)
\(284\) 3.13856 + 6.34408i 0.186239 + 0.376452i
\(285\) −0.515043 + 0.410733i −0.0305085 + 0.0243297i
\(286\) 1.42191 2.99316i 0.0840790 0.176989i
\(287\) −4.14936 12.5001i −0.244929 0.737857i
\(288\) 2.58883 + 5.02971i 0.152548 + 0.296378i
\(289\) −15.2711 7.35417i −0.898300 0.432598i
\(290\) 2.70378 + 11.5627i 0.158771 + 0.678987i
\(291\) 4.97602 10.3328i 0.291700 0.605721i
\(292\) −19.6839 15.3583i −1.15191 0.898777i
\(293\) 16.5335i 0.965897i 0.875649 + 0.482949i \(0.160434\pi\)
−0.875649 + 0.482949i \(0.839566\pi\)
\(294\) 9.03138 4.05390i 0.526721 0.236428i
\(295\) 8.85132i 0.515344i
\(296\) −17.9670 13.8659i −1.04431 0.805940i
\(297\) 0.175883 0.365225i 0.0102058 0.0211925i
\(298\) 10.6530 2.49105i 0.617110 0.144302i
\(299\) 1.93277 + 0.930772i 0.111775 + 0.0538280i
\(300\) 4.31477 2.13461i 0.249113 0.123242i
\(301\) 17.3770 + 6.39628i 1.00160 + 0.368675i
\(302\) −21.2668 10.1028i −1.22377 0.581352i
\(303\) −3.81615 + 3.04327i −0.219232 + 0.174832i
\(304\) −1.45892 + 0.741147i −0.0836749 + 0.0425077i
\(305\) −6.51953 + 8.17523i −0.373307 + 0.468112i
\(306\) 0.0689761 0.309776i 0.00394310 0.0177087i
\(307\) −4.74297 + 5.94750i −0.270696 + 0.339442i −0.898535 0.438901i \(-0.855368\pi\)
0.627840 + 0.778343i \(0.283939\pi\)
\(308\) 0.697347 + 2.02849i 0.0397350 + 0.115584i
\(309\) −5.08688 6.37874i −0.289382 0.362874i
\(310\) 2.69048 1.31331i 0.152809 0.0745909i
\(311\) 5.01176 21.9580i 0.284191 1.24512i −0.608172 0.793805i \(-0.708097\pi\)
0.892363 0.451318i \(-0.149046\pi\)
\(312\) −16.3472 + 0.260382i −0.925476 + 0.0147412i
\(313\) 12.1551i 0.687044i 0.939145 + 0.343522i \(0.111620\pi\)
−0.939145 + 0.343522i \(0.888380\pi\)
\(314\) 4.01172 18.0169i 0.226394 1.01675i
\(315\) 2.32446 3.57046i 0.130969 0.201172i
\(316\) −8.99471 + 2.15371i −0.505992 + 0.121156i
\(317\) 5.30270 + 23.2326i 0.297829 + 1.30487i 0.873352 + 0.487089i \(0.161941\pi\)
−0.575523 + 0.817786i \(0.695201\pi\)
\(318\) 9.96710 8.03543i 0.558927 0.450605i
\(319\) 1.65259 1.31789i 0.0925271 0.0737879i
\(320\) −12.4617 + 3.26513i −0.696629 + 0.182526i
\(321\) 19.3346 4.41300i 1.07915 0.246309i
\(322\) −1.31556 + 0.444463i −0.0733134 + 0.0247690i
\(323\) 0.0895031 + 0.0204285i 0.00498008 + 0.00113667i
\(324\) −1.99989 + 0.0212355i −0.111105 + 0.00117975i
\(325\) 13.9130i 0.771755i
\(326\) −1.18899 + 5.33982i −0.0658521 + 0.295745i
\(327\) −11.8047 + 5.68482i −0.652799 + 0.314371i
\(328\) −8.95304 10.8671i −0.494349 0.600035i
\(329\) −0.485204 5.03330i −0.0267502 0.277495i
\(330\) 0.724790 + 0.571732i 0.0398984 + 0.0314728i
\(331\) 28.1187 + 6.41791i 1.54554 + 0.352760i 0.908439 0.418016i \(-0.137275\pi\)
0.637105 + 0.770777i \(0.280132\pi\)
\(332\) 1.58787 2.03509i 0.0871458 0.111690i
\(333\) 7.22938 3.48149i 0.396168 0.190784i
\(334\) 6.76722 5.45571i 0.370286 0.298523i
\(335\) −16.1562 7.78044i −0.882710 0.425091i
\(336\) 7.44477 7.52167i 0.406145 0.410341i
\(337\) 6.50681 3.13352i 0.354449 0.170693i −0.248183 0.968713i \(-0.579833\pi\)
0.602631 + 0.798020i \(0.294119\pi\)
\(338\) 12.3867 26.0745i 0.673750 1.41827i
\(339\) −4.66526 20.4399i −0.253382 1.11014i
\(340\) 0.654448 + 0.306648i 0.0354924 + 0.0166303i
\(341\) −0.416660 0.332275i −0.0225634 0.0179937i
\(342\) −0.00307149 0.578541i −0.000166087 0.0312839i
\(343\) −12.4483 13.7127i −0.672147 0.740418i
\(344\) 19.7928 0.315266i 1.06716 0.0169980i
\(345\) −0.372608 + 0.467235i −0.0200605 + 0.0251551i
\(346\) 32.4283 + 15.4051i 1.74336 + 0.828184i
\(347\) 31.6969 7.23460i 1.70158 0.388374i 0.742128 0.670258i \(-0.233817\pi\)
0.959448 + 0.281884i \(0.0909595\pi\)
\(348\) −9.44346 4.42483i −0.506222 0.237196i
\(349\) −1.70363 3.53763i −0.0911935 0.189365i 0.850383 0.526164i \(-0.176370\pi\)
−0.941577 + 0.336799i \(0.890656\pi\)
\(350\) −6.29914 6.43655i −0.336703 0.344048i
\(351\) 2.50799 5.20789i 0.133867 0.277977i
\(352\) 1.47681 + 1.75425i 0.0787144 + 0.0935018i
\(353\) −2.60306 5.40531i −0.138547 0.287696i 0.820138 0.572166i \(-0.193897\pi\)
−0.958685 + 0.284470i \(0.908182\pi\)
\(354\) −6.10324 4.81438i −0.324383 0.255882i
\(355\) 1.26811 5.55594i 0.0673041 0.294879i
\(356\) 4.80604 + 3.74991i 0.254720 + 0.198745i
\(357\) −0.590991 + 0.0569708i −0.0312785 + 0.00301522i
\(358\) −2.13010 2.64216i −0.112579 0.139643i
\(359\) 8.56098 + 17.7771i 0.451831 + 0.938238i 0.995118 + 0.0986904i \(0.0314653\pi\)
−0.543287 + 0.839547i \(0.682820\pi\)
\(360\) 0.942645 4.45598i 0.0496818 0.234851i
\(361\) −18.8326 −0.991192
\(362\) 25.0481 0.132981i 1.31650 0.00698934i
\(363\) −2.41116 + 10.5640i −0.126553 + 0.554466i
\(364\) 9.94376 + 28.9251i 0.521195 + 1.51609i
\(365\) 4.47307 + 19.5978i 0.234131 + 1.02580i
\(366\) −2.09097 8.94205i −0.109297 0.467408i
\(367\) −13.0821 16.4044i −0.682880 0.856304i 0.312736 0.949840i \(-0.398754\pi\)
−0.995616 + 0.0935361i \(0.970183\pi\)
\(368\) −1.14071 + 0.950002i −0.0594635 + 0.0495223i
\(369\) 4.85328 1.10773i 0.252651 0.0576661i
\(370\) 4.16066 + 17.7931i 0.216302 + 0.925018i
\(371\) −20.0728 13.0679i −1.04213 0.678453i
\(372\) −0.557834 + 2.56949i −0.0289224 + 0.133222i
\(373\) −9.69926 −0.502208 −0.251104 0.967960i \(-0.580794\pi\)
−0.251104 + 0.967960i \(0.580794\pi\)
\(374\) −0.000682990 0.128647i −3.53166e−5 0.00665218i
\(375\) −11.6283 2.65409i −0.600484 0.137057i
\(376\) −2.42274 4.83245i −0.124943 0.249215i
\(377\) 23.5649 18.7924i 1.21366 0.967858i
\(378\) 1.19762 + 3.54481i 0.0615988 + 0.182326i
\(379\) −0.832162 0.663627i −0.0427453 0.0340882i 0.601884 0.798583i \(-0.294417\pi\)
−0.644629 + 0.764495i \(0.722988\pi\)
\(380\) 1.28754 + 0.279523i 0.0660492 + 0.0143392i
\(381\) −10.0692 8.02993i −0.515861 0.411386i
\(382\) 25.3236 12.3613i 1.29567 0.632458i
\(383\) 18.1795 + 22.7964i 0.928932 + 1.16484i 0.986046 + 0.166476i \(0.0532387\pi\)
−0.0571141 + 0.998368i \(0.518190\pi\)
\(384\) 4.52672 10.3686i 0.231003 0.529123i
\(385\) 0.596574 1.62074i 0.0304042 0.0826005i
\(386\) −5.86842 12.0222i −0.298695 0.611914i
\(387\) −3.03663 + 6.30562i −0.154360 + 0.320533i
\(388\) −22.3066 + 5.34114i −1.13245 + 0.271155i
\(389\) 20.6879 + 9.96278i 1.04892 + 0.505133i 0.877256 0.480022i \(-0.159371\pi\)
0.171664 + 0.985156i \(0.445086\pi\)
\(390\) 10.3351 + 8.15257i 0.523337 + 0.412821i
\(391\) 0.0832833 0.00421182
\(392\) −17.6962 8.87952i −0.893791 0.448483i
\(393\) 0.563991 0.0284496
\(394\) 4.54714 + 3.58690i 0.229082 + 0.180705i
\(395\) 6.70930 + 3.23103i 0.337582 + 0.162571i
\(396\) −0.788451 + 0.188788i −0.0396212 + 0.00948697i
\(397\) 5.42418 11.2634i 0.272232 0.565295i −0.719370 0.694627i \(-0.755569\pi\)
0.991601 + 0.129333i \(0.0412835\pi\)
\(398\) 9.63030 + 19.7289i 0.482724 + 0.988921i
\(399\) −1.02725 + 0.340991i −0.0514268 + 0.0170709i
\(400\) −8.76112 3.99222i −0.438056 0.199611i
\(401\) −1.58038 1.98173i −0.0789202 0.0989628i 0.740804 0.671721i \(-0.234445\pi\)
−0.819724 + 0.572758i \(0.805873\pi\)
\(402\) 14.1525 6.90827i 0.705862 0.344553i
\(403\) −5.94133 4.73805i −0.295959 0.236019i
\(404\) 9.53984 + 2.07109i 0.474625 + 0.103041i
\(405\) 1.25898 + 1.00400i 0.0625591 + 0.0498892i
\(406\) −2.39350 + 19.3630i −0.118788 + 0.960967i
\(407\) 2.54305 2.02802i 0.126054 0.100525i
\(408\) −0.567408 + 0.284469i −0.0280909 + 0.0140833i
\(409\) 16.1499 + 3.68612i 0.798562 + 0.182267i 0.602284 0.798282i \(-0.294257\pi\)
0.196278 + 0.980548i \(0.437114\pi\)
\(410\) 0.0601854 + 11.3364i 0.00297234 + 0.559866i
\(411\) −0.0525140 −0.00259033
\(412\) −3.46186 + 15.9460i −0.170553 + 0.785602i
\(413\) −5.02357 + 13.6477i −0.247194 + 0.671562i
\(414\) −0.119504 0.511061i −0.00587332 0.0251173i
\(415\) −2.02619 + 0.462464i −0.0994615 + 0.0227014i
\(416\) 21.0585 + 25.0146i 1.03248 + 1.22644i
\(417\) 11.1448 + 13.9752i 0.545765 + 0.684367i
\(418\) −0.0534001 0.228366i −0.00261188 0.0111697i
\(419\) −3.69724 16.1986i −0.180622 0.791356i −0.981335 0.192307i \(-0.938403\pi\)
0.800713 0.599048i \(-0.204454\pi\)
\(420\) −8.47239 + 0.907621i −0.413410 + 0.0442874i
\(421\) 4.92320 21.5699i 0.239942 1.05125i −0.701126 0.713037i \(-0.747319\pi\)
0.941068 0.338217i \(-0.109824\pi\)
\(422\) −22.1342 + 0.117511i −1.07748 + 0.00572035i
\(423\) 1.91123 0.0929270
\(424\) −25.0512 5.29947i −1.21659 0.257365i
\(425\) 0.234359 + 0.486652i 0.0113681 + 0.0236061i
\(426\) 3.14123 + 3.89636i 0.152193 + 0.188779i
\(427\) −14.6922 + 8.90513i −0.711007 + 0.430949i
\(428\) −31.2711 24.3992i −1.51155 1.17938i
\(429\) 0.521403 2.28442i 0.0251736 0.110293i
\(430\) −12.5135 9.87098i −0.603456 0.476021i
\(431\) 10.5087 + 21.8215i 0.506186 + 1.05111i 0.984898 + 0.173134i \(0.0553894\pi\)
−0.478712 + 0.877972i \(0.658896\pi\)
\(432\) 2.55980 + 3.07366i 0.123159 + 0.147882i
\(433\) −8.25017 + 17.1316i −0.396478 + 0.823295i 0.603192 + 0.797596i \(0.293895\pi\)
−0.999670 + 0.0256985i \(0.991819\pi\)
\(434\) 4.89379 0.497992i 0.234909 0.0239044i
\(435\) 3.64316 + 7.56511i 0.174676 + 0.362719i
\(436\) 23.7287 + 11.1183i 1.13640 + 0.532471i
\(437\) 0.148018 0.0337842i 0.00708068 0.00161612i
\(438\) −15.9462 7.57527i −0.761940 0.361960i
\(439\) −21.0351 + 26.3772i −1.00395 + 1.25892i −0.0382478 + 0.999268i \(0.512178\pi\)
−0.965704 + 0.259647i \(0.916394\pi\)
\(440\) −0.0294045 1.84606i −0.00140180 0.0880073i
\(441\) 5.61048 4.18600i 0.267165 0.199333i
\(442\) −0.00973904 1.83443i −0.000463239 0.0872550i
\(443\) −28.6987 22.8865i −1.36352 1.08737i −0.986958 0.160976i \(-0.948536\pi\)
−0.376559 0.926393i \(-0.622893\pi\)
\(444\) −14.5319 6.80906i −0.689652 0.323144i
\(445\) −1.09215 4.78502i −0.0517729 0.226832i
\(446\) 5.47084 11.5163i 0.259052 0.545314i
\(447\) 6.96989 3.35652i 0.329664 0.158758i
\(448\) −21.0677 2.03817i −0.995353 0.0962943i
\(449\) −30.0331 14.4632i −1.41735 0.682559i −0.440751 0.897630i \(-0.645288\pi\)
−0.976599 + 0.215070i \(0.931002\pi\)
\(450\) 2.65001 2.13643i 0.124923 0.100712i
\(451\) 1.81812 0.875561i 0.0856120 0.0412286i
\(452\) −25.7940 + 33.0587i −1.21325 + 1.55495i
\(453\) −16.2311 3.70464i −0.762603 0.174059i
\(454\) 29.1455 + 22.9907i 1.36787 + 1.07901i
\(455\) 8.50680 23.1108i 0.398805 1.08345i
\(456\) −0.893051 + 0.735755i −0.0418210 + 0.0344549i
\(457\) −2.00082 + 0.963544i −0.0935944 + 0.0450727i −0.480095 0.877216i \(-0.659398\pi\)
0.386501 + 0.922289i \(0.373684\pi\)
\(458\) −0.464598 + 2.08654i −0.0217092 + 0.0974975i
\(459\) 0.224409i 0.0104745i
\(460\) 1.19517 0.0126907i 0.0557249 0.000591706i
\(461\) 11.1416 + 2.54300i 0.518917 + 0.118439i 0.473955 0.880549i \(-0.342826\pi\)
0.0449624 + 0.998989i \(0.485683\pi\)
\(462\) 0.793058 + 1.29290i 0.0368964 + 0.0601512i
\(463\) 23.1164 5.27616i 1.07431 0.245204i 0.351455 0.936205i \(-0.385687\pi\)
0.722854 + 0.691001i \(0.242830\pi\)
\(464\) 5.07195 + 20.2313i 0.235460 + 0.939217i
\(465\) 1.65515 1.31993i 0.0767555 0.0612105i
\(466\) −11.9886 + 9.66519i −0.555363 + 0.447731i
\(467\) 8.16566 + 35.7761i 0.377862 + 1.65552i 0.704002 + 0.710198i \(0.251395\pi\)
−0.326140 + 0.945321i \(0.605748\pi\)
\(468\) −11.2429 + 2.69201i −0.519701 + 0.124438i
\(469\) −20.4953 21.1660i −0.946386 0.977357i
\(470\) −0.945966 + 4.24839i −0.0436342 + 0.195964i
\(471\) 13.0518i 0.601397i
\(472\) 0.247606 + 15.5451i 0.0113970 + 0.715521i
\(473\) −0.631306 + 2.76593i −0.0290275 + 0.127178i
\(474\) −5.87719 + 2.86884i −0.269948 + 0.131770i
\(475\) 0.613936 + 0.769851i 0.0281693 + 0.0353232i
\(476\) 0.835047 + 0.844250i 0.0382743 + 0.0386961i
\(477\) 5.64441 7.07787i 0.258440 0.324073i
\(478\) 0.213556 0.959091i 0.00976781 0.0438678i
\(479\) −11.2604 + 14.1201i −0.514503 + 0.645166i −0.969432 0.245362i \(-0.921093\pi\)
0.454929 + 0.890528i \(0.349665\pi\)
\(480\) −8.09930 + 4.16877i −0.369681 + 0.190277i
\(481\) 36.2624 28.9183i 1.65342 1.31856i
\(482\) −20.3580 9.67111i −0.927283 0.440507i
\(483\) −0.839699 + 0.508951i −0.0382076 + 0.0231581i
\(484\) 19.4243 9.60963i 0.882922 0.436801i
\(485\) 16.6389 + 8.01285i 0.755532 + 0.363845i
\(486\) −1.37707 + 0.322007i −0.0624650 + 0.0146066i
\(487\) 2.27671 4.72763i 0.103167 0.214229i −0.842995 0.537921i \(-0.819210\pi\)
0.946163 + 0.323692i \(0.104924\pi\)
\(488\) −11.2212 + 14.5401i −0.507960 + 0.658199i
\(489\) 3.86830i 0.174930i
\(490\) 6.52797 + 14.5432i 0.294903 + 0.656993i
\(491\) 31.8218i 1.43610i −0.695992 0.718050i \(-0.745035\pi\)
0.695992 0.718050i \(-0.254965\pi\)
\(492\) −7.84952 6.12457i −0.353884 0.276117i
\(493\) 0.507708 1.05427i 0.0228660 0.0474818i
\(494\) −0.761454 3.25636i −0.0342594 0.146511i
\(495\) 0.588119 + 0.283223i 0.0264340 + 0.0127299i
\(496\) 4.68841 2.38176i 0.210516 0.106944i
\(497\) 5.10855 7.84692i 0.229150 0.351982i
\(498\) 0.783195 1.64865i 0.0350958 0.0738780i
\(499\) −28.4156 + 22.6607i −1.27206 + 1.01443i −0.273438 + 0.961890i \(0.588161\pi\)
−0.998619 + 0.0525418i \(0.983268\pi\)
\(500\) 10.5778 + 21.3813i 0.473054 + 0.956199i
\(501\) 3.83231 4.80556i 0.171215 0.214697i
\(502\) −24.5825 5.47365i −1.09717 0.244301i
\(503\) −15.1265 + 18.9681i −0.674458 + 0.845744i −0.994831 0.101548i \(-0.967621\pi\)
0.320372 + 0.947292i \(0.396192\pi\)
\(504\) 3.98245 6.33562i 0.177392 0.282211i
\(505\) −4.90056 6.14511i −0.218072 0.273454i
\(506\) −0.0933280 0.191194i −0.00414894 0.00849963i
\(507\) 4.54213 19.9004i 0.201723 0.883807i
\(508\) 0.273492 + 25.7566i 0.0121342 + 1.14276i
\(509\) 31.9056i 1.41419i 0.707119 + 0.707095i \(0.249995\pi\)
−0.707119 + 0.707095i \(0.750005\pi\)
\(510\) 0.498830 + 0.111072i 0.0220885 + 0.00491834i
\(511\) −4.22576 + 32.7563i −0.186937 + 1.44905i
\(512\) −21.7944 + 6.08298i −0.963187 + 0.268832i
\(513\) −0.0910324 0.398839i −0.00401918 0.0176092i
\(514\) 4.58514 + 5.68738i 0.202242 + 0.250860i
\(515\) 10.2716 8.19136i 0.452623 0.360955i
\(516\) 13.6126 3.25944i 0.599263 0.143489i
\(517\) 0.755327 0.172399i 0.0332193 0.00758208i
\(518\) −3.68319 + 29.7963i −0.161830 + 1.30917i
\(519\) 24.7497 + 5.64895i 1.08639 + 0.247961i
\(520\) −0.419291 26.3237i −0.0183871 1.15437i
\(521\) 20.2833i 0.888627i 0.895871 + 0.444313i \(0.146552\pi\)
−0.895871 + 0.444313i \(0.853448\pi\)
\(522\) −7.19794 1.60273i −0.315045 0.0701494i
\(523\) 11.1189 5.35458i 0.486196 0.234140i −0.174694 0.984623i \(-0.555894\pi\)
0.660889 + 0.750483i \(0.270179\pi\)
\(524\) −0.712610 0.874375i −0.0311305 0.0381973i
\(525\) −5.33688 3.47445i −0.232921 0.151638i
\(526\) 8.14671 10.3277i 0.355213 0.450307i
\(527\) −0.287628 0.0656492i −0.0125293 0.00285972i
\(528\) 1.28890 + 0.983827i 0.0560923 + 0.0428156i
\(529\) −20.5982 + 9.91957i −0.895574 + 0.431285i
\(530\) 12.9394 + 16.0499i 0.562051 + 0.697165i
\(531\) −4.95237 2.38494i −0.214915 0.103497i
\(532\) 1.82659 + 1.16173i 0.0791928 + 0.0503676i
\(533\) 25.9254 12.4850i 1.12295 0.540785i
\(534\) 3.89345 + 1.84959i 0.168486 + 0.0800395i
\(535\) 7.10622 + 31.1344i 0.307229 + 1.34606i
\(536\) −28.5920 13.2124i −1.23498 0.570689i
\(537\) −1.87626 1.49627i −0.0809667 0.0645688i
\(538\) 44.2299 0.234818i 1.90689 0.0101237i
\(539\) 1.83970 2.16041i 0.0792415 0.0930555i
\(540\) −0.0341954 3.22040i −0.00147153 0.138584i
\(541\) −4.40295 + 5.52112i −0.189298 + 0.237372i −0.867419 0.497578i \(-0.834223\pi\)
0.678122 + 0.734950i \(0.262794\pi\)
\(542\) 10.2749 21.6290i 0.441344 0.929046i
\(543\) 17.2679 3.94128i 0.741036 0.169137i
\(544\) 1.15795 + 0.520242i 0.0496467 + 0.0223052i
\(545\) −9.15423 19.0089i −0.392124 0.814254i
\(546\) 11.3085 + 18.4360i 0.483961 + 0.788989i
\(547\) −1.25620 + 2.60853i −0.0537113 + 0.111533i −0.926097 0.377286i \(-0.876858\pi\)
0.872386 + 0.488818i \(0.162572\pi\)
\(548\) 0.0663521 + 0.0814143i 0.00283442 + 0.00347785i
\(549\) −2.81745 5.85048i −0.120246 0.249693i
\(550\) 0.854587 1.08337i 0.0364397 0.0461950i
\(551\) 0.474675 2.07969i 0.0202219 0.0885977i
\(552\) −0.641320 + 0.831003i −0.0272964 + 0.0353698i
\(553\) 8.51122 + 8.78975i 0.361934 + 0.373778i
\(554\) −10.4539 + 8.42787i −0.444143 + 0.358066i
\(555\) 5.60621 + 11.6414i 0.237970 + 0.494151i
\(556\) 7.58457 34.9360i 0.321658 1.48162i
\(557\) −4.78223 −0.202630 −0.101315 0.994854i \(-0.532305\pi\)
−0.101315 + 0.994854i \(0.532305\pi\)
\(558\) 0.00987056 + 1.85920i 0.000417854 + 0.0787064i
\(559\) −9.00205 + 39.4406i −0.380746 + 1.66816i
\(560\) 12.1121 + 11.9883i 0.511829 + 0.506596i
\(561\) −0.0202424 0.0886876i −0.000854634 0.00374440i
\(562\) 17.7515 4.15095i 0.748804 0.175097i
\(563\) 23.5780 + 29.5659i 0.993694 + 1.24605i 0.969180 + 0.246354i \(0.0792325\pi\)
0.0245143 + 0.999699i \(0.492196\pi\)
\(564\) −2.41486 2.96304i −0.101684 0.124767i
\(565\) 32.9141 7.51244i 1.38471 0.316051i
\(566\) −42.3143 + 9.89460i −1.77860 + 0.415901i
\(567\) 1.37138 + 2.26259i 0.0575926 + 0.0950199i
\(568\) 2.07168 9.79306i 0.0869259 0.410908i
\(569\) −22.4589 −0.941527 −0.470764 0.882259i \(-0.656022\pi\)
−0.470764 + 0.882259i \(0.656022\pi\)
\(570\) 0.931620 0.00494600i 0.0390213 0.000207165i
\(571\) 14.1523 + 3.23017i 0.592255 + 0.135178i 0.508135 0.861277i \(-0.330335\pi\)
0.0841197 + 0.996456i \(0.473192\pi\)
\(572\) −4.20041 + 2.07804i −0.175628 + 0.0868872i
\(573\) 15.5787 12.4236i 0.650811 0.519005i
\(574\) −6.34119 + 17.5137i −0.264676 + 0.731006i
\(575\) 0.698392 + 0.556949i 0.0291250 + 0.0232264i
\(576\) 1.53086 7.85216i 0.0637860 0.327173i
\(577\) 24.0669 + 19.1927i 1.00192 + 0.799003i 0.979643 0.200748i \(-0.0643374\pi\)
0.0222757 + 0.999752i \(0.492909\pi\)
\(578\) 10.5149 + 21.5411i 0.437361 + 0.895991i
\(579\) −5.89803 7.39589i −0.245114 0.307363i
\(580\) 7.12527 15.2067i 0.295861 0.631425i
\(581\) −3.38662 0.436895i −0.140501 0.0181255i
\(582\) −14.5752 + 7.11464i −0.604163 + 0.294911i
\(583\) 1.59226 3.30636i 0.0659445 0.136935i
\(584\) 8.40403 + 34.2934i 0.347761 + 1.41907i
\(585\) 8.38623 + 4.03860i 0.346728 + 0.166975i
\(586\) 14.4811 18.3578i 0.598209 0.758355i
\(587\) −22.9521 −0.947336 −0.473668 0.880704i \(-0.657070\pi\)
−0.473668 + 0.880704i \(0.657070\pi\)
\(588\) −13.5786 3.40906i −0.559972 0.140587i
\(589\) −0.537828 −0.0221608
\(590\) 7.75257 9.82800i 0.319168 0.404612i
\(591\) 3.68970 + 1.77687i 0.151774 + 0.0730906i
\(592\) 7.80488 + 31.1326i 0.320778 + 1.27954i
\(593\) 9.79782 20.3454i 0.402348 0.835485i −0.597097 0.802169i \(-0.703679\pi\)
0.999445 0.0333155i \(-0.0106066\pi\)
\(594\) −0.515178 + 0.251475i −0.0211380 + 0.0103181i
\(595\) −0.0917397 0.951668i −0.00376096 0.0390146i
\(596\) −14.0103 6.56465i −0.573883 0.268899i
\(597\) 9.67889 + 12.1369i 0.396131 + 0.496732i
\(598\) −1.33080 2.72632i −0.0544206 0.111488i
\(599\) 22.6091 + 18.0302i 0.923783 + 0.736693i 0.964943 0.262460i \(-0.0845338\pi\)
−0.0411595 + 0.999153i \(0.513105\pi\)
\(600\) −6.66050 1.40900i −0.271914 0.0575223i
\(601\) −18.0441 14.3897i −0.736033 0.586967i 0.182081 0.983284i \(-0.441717\pi\)
−0.918114 + 0.396317i \(0.870288\pi\)
\(602\) −13.6922 22.3220i −0.558052 0.909777i
\(603\) 8.70641 6.94313i 0.354552 0.282746i
\(604\) 14.7647 + 29.8445i 0.600769 + 1.21435i
\(605\) −17.0111 3.88268i −0.691601 0.157853i
\(606\) 6.90273 0.0366467i 0.280404 0.00148867i
\(607\) −7.67133 −0.311369 −0.155685 0.987807i \(-0.549758\pi\)
−0.155685 + 0.987807i \(0.549758\pi\)
\(608\) 2.26905 + 0.454893i 0.0920220 + 0.0184483i
\(609\) 1.32377 + 13.7322i 0.0536419 + 0.556458i
\(610\) 14.3993 3.36707i 0.583011 0.136329i
\(611\) 10.7705 2.45830i 0.435729 0.0994523i
\(612\) −0.347909 + 0.283543i −0.0140634 + 0.0114616i
\(613\) −9.92138 12.4410i −0.400721 0.502488i 0.540002 0.841664i \(-0.318423\pi\)
−0.940723 + 0.339175i \(0.889852\pi\)
\(614\) 10.4755 2.44956i 0.422758 0.0988560i
\(615\) 1.78377 + 7.81519i 0.0719284 + 0.315139i
\(616\) 1.00239 2.86310i 0.0403875 0.115358i
\(617\) 5.74906 25.1883i 0.231449 1.01404i −0.716991 0.697083i \(-0.754481\pi\)
0.948439 0.316959i \(-0.102662\pi\)
\(618\) 0.0612556 + 11.5380i 0.00246406 + 0.464127i
\(619\) −39.5594 −1.59003 −0.795014 0.606591i \(-0.792536\pi\)
−0.795014 + 0.606591i \(0.792536\pi\)
\(620\) −4.13764 0.898277i −0.166171 0.0360757i
\(621\) −0.161024 0.334370i −0.00646168 0.0134178i
\(622\) −24.7970 + 19.9912i −0.994269 + 0.801576i
\(623\) 1.03177 7.99782i 0.0413369 0.320426i
\(624\) 18.3790 + 14.0288i 0.735749 + 0.561601i
\(625\) 1.59587 6.99195i 0.0638347 0.279678i
\(626\) 10.6462 13.4963i 0.425507 0.539419i
\(627\) −0.0719530 0.149412i −0.00287353 0.00596694i
\(628\) −20.2347 + 16.4912i −0.807454 + 0.658069i
\(629\) 0.781277 1.62234i 0.0311515 0.0646868i
\(630\) −5.70819 + 1.92851i −0.227420 + 0.0768338i
\(631\) −4.27904 8.88552i −0.170346 0.353727i 0.798266 0.602305i \(-0.205751\pi\)
−0.968612 + 0.248578i \(0.920037\pi\)
\(632\) 11.8736 + 5.48680i 0.472305 + 0.218253i
\(633\) −15.2591 + 3.48278i −0.606493 + 0.138428i
\(634\) 14.4609 30.4406i 0.574314 1.20895i
\(635\) 12.9305 16.2144i 0.513133 0.643448i
\(636\) −18.1048 + 0.192244i −0.717904 + 0.00762295i
\(637\) 26.2331 30.8062i 1.03939 1.22059i
\(638\) −2.98923 + 0.0158699i −0.118345 + 0.000628296i
\(639\) 2.76690 + 2.20653i 0.109457 + 0.0872889i
\(640\) 16.6966 + 7.28934i 0.659989 + 0.288137i
\(641\) −4.02105 17.6174i −0.158822 0.695844i −0.990144 0.140053i \(-0.955273\pi\)
0.831322 0.555791i \(-0.187584\pi\)
\(642\) −25.3332 12.0346i −0.999822 0.474967i
\(643\) −39.5473 + 19.0450i −1.55959 + 0.751061i −0.997126 0.0757588i \(-0.975862\pi\)
−0.562467 + 0.826819i \(0.690148\pi\)
\(644\) 1.85001 + 0.658749i 0.0729008 + 0.0259583i
\(645\) −10.1539 4.88986i −0.399809 0.192538i
\(646\) −0.0814864 0.101075i −0.00320604 0.00397675i
\(647\) −18.6819 + 8.99675i −0.734463 + 0.353699i −0.763438 0.645881i \(-0.776490\pi\)
0.0289748 + 0.999580i \(0.490776\pi\)
\(648\) 2.23916 + 1.72805i 0.0879625 + 0.0678843i
\(649\) −2.17233 0.495821i −0.0852715 0.0194627i
\(650\) 12.1859 15.4482i 0.477971 0.605928i
\(651\) 3.30118 1.09581i 0.129383 0.0429483i
\(652\) 5.99715 4.88764i 0.234867 0.191415i
\(653\) 17.3113 8.33668i 0.677443 0.326239i −0.0633319 0.997993i \(-0.520173\pi\)
0.740775 + 0.671753i \(0.234458\pi\)
\(654\) 18.0863 + 4.02719i 0.707232 + 0.157476i
\(655\) 0.908191i 0.0354860i
\(656\) 0.422825 + 19.9079i 0.0165085 + 0.777271i
\(657\) −12.1703 2.77780i −0.474810 0.108372i
\(658\) −3.86975 + 6.01366i −0.150858 + 0.234437i
\(659\) −24.6666 + 5.62998i −0.960873 + 0.219313i −0.674062 0.738674i \(-0.735452\pi\)
−0.286810 + 0.957987i \(0.592595\pi\)
\(660\) −0.304005 1.26964i −0.0118334 0.0494205i
\(661\) 20.9710 16.7238i 0.815677 0.650480i −0.124100 0.992270i \(-0.539604\pi\)
0.939777 + 0.341789i \(0.111033\pi\)
\(662\) −25.6002 31.7543i −0.994979 1.23417i
\(663\) −0.288644 1.26463i −0.0112100 0.0491143i
\(664\) −3.54554 + 0.868880i −0.137594 + 0.0337191i
\(665\) −0.549096 1.65417i −0.0212930 0.0641461i
\(666\) −11.0764 2.46632i −0.429202 0.0955681i
\(667\) 1.93517i 0.0749299i
\(668\) −12.2924 + 0.130525i −0.475607 + 0.00505016i
\(669\) 2.00612 8.78939i 0.0775611 0.339818i
\(670\) 11.1243 + 22.7896i 0.429771 + 0.880440i
\(671\) −1.64120 2.05800i −0.0633579 0.0794483i
\(672\) −14.8542 + 1.83101i −0.573013 + 0.0706328i
\(673\) −29.8267 + 37.4015i −1.14973 + 1.44172i −0.272178 + 0.962247i \(0.587744\pi\)
−0.877556 + 0.479474i \(0.840827\pi\)
\(674\) −9.96933 2.21982i −0.384004 0.0855041i
\(675\) 1.50071 1.88184i 0.0577625 0.0724319i
\(676\) −36.5913 + 18.1026i −1.40736 + 0.696252i
\(677\) 24.6455 19.6541i 0.947202 0.755368i −0.0224779 0.999747i \(-0.507156\pi\)
0.969680 + 0.244379i \(0.0785841\pi\)
\(678\) −12.7225 + 26.7814i −0.488605 + 1.02853i
\(679\) 21.1076 + 21.7983i 0.810034 + 0.836543i
\(680\) −0.458079 0.913693i −0.0175665 0.0350385i
\(681\) 23.6497 + 11.3891i 0.906257 + 0.436430i
\(682\) 0.171607 + 0.733877i 0.00657117 + 0.0281016i
\(683\) 17.0957 35.4997i 0.654150 1.35836i −0.264923 0.964270i \(-0.585347\pi\)
0.919073 0.394087i \(-0.128939\pi\)
\(684\) −0.503314 + 0.645069i −0.0192447 + 0.0246648i
\(685\) 0.0845630i 0.00323098i
\(686\) 1.81141 + 26.1289i 0.0691600 + 0.997606i
\(687\) 1.51154i 0.0576687i
\(688\) −22.2530 16.9858i −0.848386 0.647578i
\(689\) 22.7047 47.1467i 0.864979 1.79615i
\(690\) 0.822957 0.192437i 0.0313295 0.00732595i
\(691\) −15.1083 7.27578i −0.574747 0.276784i 0.123848 0.992301i \(-0.460477\pi\)
−0.698595 + 0.715518i \(0.746191\pi\)
\(692\) −22.5137 45.5078i −0.855844 1.72995i
\(693\) 0.746070 + 0.770485i 0.0283409 + 0.0292683i
\(694\) −41.5309 19.7293i −1.57649 0.748914i
\(695\) −22.5041 + 17.9464i −0.853630 + 0.680747i
\(696\) 6.60992 + 13.1843i 0.250548 + 0.499749i
\(697\) 0.696517 0.873405i 0.0263825 0.0330826i
\(698\) −1.20687 + 5.42014i −0.0456808 + 0.205155i
\(699\) −6.78922 + 8.51341i −0.256792 + 0.322007i
\(700\) 1.35665 + 12.6640i 0.0512766 + 0.478653i
\(701\) −31.4191 39.3983i −1.18668 1.48805i −0.833520 0.552490i \(-0.813678\pi\)
−0.353162 0.935562i \(-0.614894\pi\)
\(702\) −7.34614 + 3.58588i −0.277262 + 0.135340i
\(703\) 0.730445 3.20029i 0.0275493 0.120701i
\(704\) −0.103283 3.24131i −0.00389263 0.122161i
\(705\) 3.07763i 0.115910i
\(706\) −1.84404 + 8.28168i −0.0694012 + 0.311685i
\(707\) −4.06846 12.2564i −0.153010 0.460949i
\(708\) 2.55993 + 10.6912i 0.0962081 + 0.401801i
\(709\) −1.16491 5.10379i −0.0437490 0.191677i 0.948331 0.317282i \(-0.102770\pi\)
−0.992080 + 0.125605i \(0.959913\pi\)
\(710\) −6.27428 + 5.05830i −0.235470 + 0.189835i
\(711\) −3.61556 + 2.88332i −0.135594 + 0.108133i
\(712\) −2.05194 8.37312i −0.0768997 0.313796i
\(713\) −0.475673 + 0.108569i −0.0178141 + 0.00406595i
\(714\) 0.706101 + 0.454371i 0.0264251 + 0.0170044i
\(715\) 3.67858 + 0.839612i 0.137571 + 0.0313997i
\(716\) 0.0509616 + 4.79939i 0.00190452 + 0.179362i
\(717\) 0.694788i 0.0259473i
\(718\) 6.06469 27.2369i 0.226332 1.01647i
\(719\) 18.6406 8.97685i 0.695178 0.334780i −0.0527054 0.998610i \(-0.516784\pi\)
0.747884 + 0.663830i \(0.231070\pi\)
\(720\) −4.94950 + 4.12203i −0.184457 + 0.153619i
\(721\) 20.4867 6.80049i 0.762966 0.253263i
\(722\) 20.9107 + 16.4949i 0.778215 + 0.613875i
\(723\) −15.5375 3.54633i −0.577845 0.131889i
\(724\) −27.9285 21.7912i −1.03795 0.809862i
\(725\) 11.3078 5.44556i 0.419962 0.202243i
\(726\) 11.9299 9.61780i 0.442759 0.356950i
\(727\) 8.16728 + 3.93316i 0.302908 + 0.145873i 0.579163 0.815212i \(-0.303379\pi\)
−0.276256 + 0.961084i \(0.589094\pi\)
\(728\) 14.2935 40.8262i 0.529753 1.51312i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) 12.1984 25.6781i 0.451483 0.950388i
\(731\) 0.349485 + 1.53120i 0.0129262 + 0.0566333i
\(732\) −5.51033 + 11.7601i −0.203668 + 0.434667i
\(733\) 26.4934 + 21.1278i 0.978557 + 0.780373i 0.975585 0.219622i \(-0.0704824\pi\)
0.00297233 + 0.999996i \(0.499054\pi\)
\(734\) 0.157533 + 29.6727i 0.00581465 + 1.09524i
\(735\) 6.74068 + 9.03451i 0.248634 + 0.333243i
\(736\) 2.09865 0.0557214i 0.0773572 0.00205392i
\(737\) 2.81453 3.52931i 0.103674 0.130004i
\(738\) −6.35902 3.02086i −0.234079 0.111199i
\(739\) −16.2703 + 3.71359i −0.598513 + 0.136607i −0.511035 0.859560i \(-0.670738\pi\)
−0.0874779 + 0.996166i \(0.527881\pi\)
\(740\) 10.9646 23.4006i 0.403066 0.860222i
\(741\) −1.02601 2.13053i −0.0376914 0.0782669i
\(742\) 10.8419 + 32.0910i 0.398020 + 1.17810i
\(743\) −2.09599 + 4.35236i −0.0768943 + 0.159673i −0.935872 0.352341i \(-0.885386\pi\)
0.858978 + 0.512013i \(0.171100\pi\)
\(744\) 2.86992 2.36443i 0.105216 0.0866842i
\(745\) 5.40498 + 11.2236i 0.198023 + 0.411199i
\(746\) 10.7695 + 8.49524i 0.394299 + 0.311033i
\(747\) 0.287192 1.25827i 0.0105078 0.0460378i
\(748\) −0.111919 + 0.143440i −0.00409217 + 0.00524470i
\(749\) −6.71333 + 52.0388i −0.245300 + 1.90146i
\(750\) 10.5868 + 13.1318i 0.386575 + 0.479505i
\(751\) −10.3071 21.4030i −0.376112 0.781006i 0.623887 0.781514i \(-0.285552\pi\)
−1.00000 0.000508623i \(0.999838\pi\)
\(752\) −1.54250 + 7.48767i −0.0562493 + 0.273047i
\(753\) −17.8081 −0.648964
\(754\) −42.6247 + 0.226296i −1.55230 + 0.00824121i
\(755\) 5.96555 26.1368i 0.217109 0.951215i
\(756\) 1.77502 4.98491i 0.0645567 0.181299i
\(757\) 5.20929 + 22.8234i 0.189335 + 0.829530i 0.976968 + 0.213386i \(0.0684491\pi\)
−0.787633 + 0.616144i \(0.788694\pi\)
\(758\) 0.342737 + 1.46572i 0.0124488 + 0.0532372i
\(759\) −0.0937989 0.117620i −0.00340468 0.00426934i
\(760\) −1.18478 1.43807i −0.0429765 0.0521644i
\(761\) −22.2588 + 5.08043i −0.806882 + 0.184165i −0.606015 0.795453i \(-0.707233\pi\)
−0.200867 + 0.979619i \(0.564376\pi\)
\(762\) 4.14714 + 17.7352i 0.150235 + 0.642480i
\(763\) −3.32626 34.5051i −0.120419 1.24917i
\(764\) −38.9447 8.45486i −1.40897 0.305886i
\(765\) 0.361364 0.0130651
\(766\) −0.218916 41.2347i −0.00790975 1.48987i
\(767\) −30.9762 7.07012i −1.11849 0.255287i
\(768\) −14.1077 + 7.54795i −0.509069 + 0.272363i
\(769\) −2.48101 + 1.97854i −0.0894677 + 0.0713481i −0.667202 0.744877i \(-0.732508\pi\)
0.577735 + 0.816225i \(0.303937\pi\)
\(770\) −2.08195 + 1.27706i −0.0750283 + 0.0460219i
\(771\) 4.03874 + 3.22079i