Properties

Label 273.2.bh.a.131.12
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.12
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.987309 - 0.570023i) q^{2} +(1.12414 + 1.31769i) q^{3} +(-0.350147 - 0.606472i) q^{4} +(-0.578962 + 1.00279i) q^{5} +(-0.358764 - 1.94175i) q^{6} +(-2.55265 + 0.695677i) q^{7} +3.07846i q^{8} +(-0.472604 + 2.96254i) q^{9} +O(q^{10})\) \(q+(-0.987309 - 0.570023i) q^{2} +(1.12414 + 1.31769i) q^{3} +(-0.350147 - 0.606472i) q^{4} +(-0.578962 + 1.00279i) q^{5} +(-0.358764 - 1.94175i) q^{6} +(-2.55265 + 0.695677i) q^{7} +3.07846i q^{8} +(-0.472604 + 2.96254i) q^{9} +(1.14323 - 0.660043i) q^{10} +(-2.88243 + 1.66417i) q^{11} +(0.405526 - 1.14315i) q^{12} -1.00000i q^{13} +(2.91681 + 0.768223i) q^{14} +(-1.97220 + 0.364390i) q^{15} +(1.05450 - 1.82645i) q^{16} +(2.80806 + 4.86371i) q^{17} +(2.15532 - 2.65555i) q^{18} +(-0.600609 - 0.346762i) q^{19} +0.810886 q^{20} +(-3.78623 - 2.58156i) q^{21} +3.79447 q^{22} +(-6.42002 - 3.70660i) q^{23} +(-4.05645 + 3.46063i) q^{24} +(1.82961 + 3.16897i) q^{25} +(-0.570023 + 0.987309i) q^{26} +(-4.43498 + 2.70757i) q^{27} +(1.31571 + 1.30452i) q^{28} +3.13574i q^{29} +(2.15488 + 0.764436i) q^{30} +(5.29706 - 3.05826i) q^{31} +(3.24981 - 1.87628i) q^{32} +(-5.43313 - 1.92738i) q^{33} -6.40265i q^{34} +(0.780269 - 2.96255i) q^{35} +(1.96218 - 0.750702i) q^{36} +(-4.98890 + 8.64102i) q^{37} +(0.395325 + 0.684723i) q^{38} +(1.31769 - 1.12414i) q^{39} +(-3.08705 - 1.78231i) q^{40} -5.92904 q^{41} +(2.26663 + 4.70704i) q^{42} +12.1671 q^{43} +(2.01855 + 1.16541i) q^{44} +(-2.69719 - 2.18912i) q^{45} +(4.22569 + 7.31912i) q^{46} +(-1.34842 + 2.33554i) q^{47} +(3.59210 - 0.663687i) q^{48} +(6.03207 - 3.55164i) q^{49} -4.17167i q^{50} +(-3.25219 + 9.16766i) q^{51} +(-0.606472 + 0.350147i) q^{52} +(9.81343 - 5.66579i) q^{53} +(5.92208 - 0.145171i) q^{54} -3.85397i q^{55} +(-2.14162 - 7.85824i) q^{56} +(-0.218247 - 1.18123i) q^{57} +(1.78745 - 3.09595i) q^{58} +(-2.77665 - 4.80929i) q^{59} +(0.911552 + 1.06850i) q^{60} +(-9.38886 - 5.42066i) q^{61} -6.97311 q^{62} +(-0.854577 - 7.89112i) q^{63} -8.49610 q^{64} +(1.00279 + 0.578962i) q^{65} +(4.26553 + 4.99993i) q^{66} +(-0.342963 - 0.594029i) q^{67} +(1.96647 - 3.40602i) q^{68} +(-2.33288 - 12.6263i) q^{69} +(-2.45909 + 2.48018i) q^{70} +0.968922i q^{71} +(-9.12006 - 1.45489i) q^{72} +(1.05102 - 0.606807i) q^{73} +(9.85117 - 5.68758i) q^{74} +(-2.11898 + 5.97323i) q^{75} +0.485670i q^{76} +(6.20012 - 6.25330i) q^{77} +(-1.94175 + 0.358764i) q^{78} +(5.42596 - 9.39803i) q^{79} +(1.22103 + 2.11489i) q^{80} +(-8.55329 - 2.80022i) q^{81} +(5.85380 + 3.37969i) q^{82} +11.6625 q^{83} +(-0.239906 + 3.20017i) q^{84} -6.50305 q^{85} +(-12.0127 - 6.93555i) q^{86} +(-4.13193 + 3.52502i) q^{87} +(-5.12309 - 8.87346i) q^{88} +(-1.09337 + 1.89377i) q^{89} +(1.41511 + 3.69880i) q^{90} +(0.695677 + 2.55265i) q^{91} +5.19141i q^{92} +(9.98448 + 3.54195i) q^{93} +(2.66262 - 1.53727i) q^{94} +(0.695460 - 0.401524i) q^{95} +(6.12561 + 2.17303i) q^{96} +10.5820i q^{97} +(-7.98004 + 0.0681537i) q^{98} +(-3.56793 - 9.32582i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.987309 0.570023i −0.698133 0.403067i 0.108519 0.994094i \(-0.465389\pi\)
−0.806652 + 0.591027i \(0.798723\pi\)
\(3\) 1.12414 + 1.31769i 0.649024 + 0.760768i
\(4\) −0.350147 0.606472i −0.175073 0.303236i
\(5\) −0.578962 + 1.00279i −0.258920 + 0.448462i −0.965953 0.258719i \(-0.916700\pi\)
0.707033 + 0.707180i \(0.250033\pi\)
\(6\) −0.358764 1.94175i −0.146465 0.792718i
\(7\) −2.55265 + 0.695677i −0.964812 + 0.262941i
\(8\) 3.07846i 1.08840i
\(9\) −0.472604 + 2.96254i −0.157535 + 0.987513i
\(10\) 1.14323 0.660043i 0.361521 0.208724i
\(11\) −2.88243 + 1.66417i −0.869086 + 0.501767i −0.867045 0.498231i \(-0.833983\pi\)
−0.00204186 + 0.999998i \(0.500650\pi\)
\(12\) 0.405526 1.14315i 0.117065 0.329998i
\(13\) 1.00000i 0.277350i
\(14\) 2.91681 + 0.768223i 0.779550 + 0.205316i
\(15\) −1.97220 + 0.364390i −0.509220 + 0.0940850i
\(16\) 1.05450 1.82645i 0.263625 0.456612i
\(17\) 2.80806 + 4.86371i 0.681056 + 1.17962i 0.974659 + 0.223696i \(0.0718121\pi\)
−0.293604 + 0.955927i \(0.594855\pi\)
\(18\) 2.15532 2.65555i 0.508015 0.625919i
\(19\) −0.600609 0.346762i −0.137789 0.0795527i 0.429521 0.903057i \(-0.358683\pi\)
−0.567310 + 0.823504i \(0.692016\pi\)
\(20\) 0.810886 0.181320
\(21\) −3.78623 2.58156i −0.826224 0.563342i
\(22\) 3.79447 0.808984
\(23\) −6.42002 3.70660i −1.33867 0.772879i −0.352056 0.935979i \(-0.614517\pi\)
−0.986610 + 0.163100i \(0.947851\pi\)
\(24\) −4.05645 + 3.46063i −0.828020 + 0.706398i
\(25\) 1.82961 + 3.16897i 0.365921 + 0.633794i
\(26\) −0.570023 + 0.987309i −0.111791 + 0.193627i
\(27\) −4.43498 + 2.70757i −0.853512 + 0.521073i
\(28\) 1.31571 + 1.30452i 0.248646 + 0.246532i
\(29\) 3.13574i 0.582292i 0.956679 + 0.291146i \(0.0940366\pi\)
−0.956679 + 0.291146i \(0.905963\pi\)
\(30\) 2.15488 + 0.764436i 0.393426 + 0.139566i
\(31\) 5.29706 3.05826i 0.951380 0.549279i 0.0578705 0.998324i \(-0.481569\pi\)
0.893509 + 0.449045i \(0.148236\pi\)
\(32\) 3.24981 1.87628i 0.574491 0.331683i
\(33\) −5.43313 1.92738i −0.945787 0.335514i
\(34\) 6.40265i 1.09805i
\(35\) 0.780269 2.96255i 0.131889 0.500762i
\(36\) 1.96218 0.750702i 0.327030 0.125117i
\(37\) −4.98890 + 8.64102i −0.820170 + 1.42058i 0.0853860 + 0.996348i \(0.472788\pi\)
−0.905556 + 0.424228i \(0.860546\pi\)
\(38\) 0.395325 + 0.684723i 0.0641302 + 0.111077i
\(39\) 1.31769 1.12414i 0.210999 0.180007i
\(40\) −3.08705 1.78231i −0.488106 0.281808i
\(41\) −5.92904 −0.925961 −0.462980 0.886369i \(-0.653220\pi\)
−0.462980 + 0.886369i \(0.653220\pi\)
\(42\) 2.26663 + 4.70704i 0.349749 + 0.726312i
\(43\) 12.1671 1.85547 0.927735 0.373239i \(-0.121753\pi\)
0.927735 + 0.373239i \(0.121753\pi\)
\(44\) 2.01855 + 1.16541i 0.304308 + 0.175692i
\(45\) −2.69719 2.18912i −0.402073 0.326335i
\(46\) 4.22569 + 7.31912i 0.623045 + 1.07914i
\(47\) −1.34842 + 2.33554i −0.196688 + 0.340673i −0.947452 0.319897i \(-0.896352\pi\)
0.750765 + 0.660570i \(0.229685\pi\)
\(48\) 3.59210 0.663687i 0.518475 0.0957950i
\(49\) 6.03207 3.55164i 0.861724 0.507378i
\(50\) 4.17167i 0.589964i
\(51\) −3.25219 + 9.16766i −0.455397 + 1.28373i
\(52\) −0.606472 + 0.350147i −0.0841025 + 0.0485566i
\(53\) 9.81343 5.66579i 1.34798 0.778255i 0.360015 0.932946i \(-0.382772\pi\)
0.987963 + 0.154691i \(0.0494382\pi\)
\(54\) 5.92208 0.145171i 0.805893 0.0197553i
\(55\) 3.85397i 0.519669i
\(56\) −2.14162 7.85824i −0.286185 1.05010i
\(57\) −0.218247 1.18123i −0.0289075 0.156457i
\(58\) 1.78745 3.09595i 0.234703 0.406518i
\(59\) −2.77665 4.80929i −0.361488 0.626116i 0.626718 0.779246i \(-0.284398\pi\)
−0.988206 + 0.153130i \(0.951065\pi\)
\(60\) 0.911552 + 1.06850i 0.117681 + 0.137942i
\(61\) −9.38886 5.42066i −1.20212 0.694044i −0.241094 0.970502i \(-0.577506\pi\)
−0.961026 + 0.276457i \(0.910840\pi\)
\(62\) −6.97311 −0.885586
\(63\) −0.854577 7.89112i −0.107667 0.994187i
\(64\) −8.49610 −1.06201
\(65\) 1.00279 + 0.578962i 0.124381 + 0.0718114i
\(66\) 4.26553 + 4.99993i 0.525050 + 0.615449i
\(67\) −0.342963 0.594029i −0.0418996 0.0725722i 0.844315 0.535847i \(-0.180008\pi\)
−0.886215 + 0.463275i \(0.846674\pi\)
\(68\) 1.96647 3.40602i 0.238469 0.413041i
\(69\) −2.33288 12.6263i −0.280845 1.52003i
\(70\) −2.45909 + 2.48018i −0.293917 + 0.296438i
\(71\) 0.968922i 0.114990i 0.998346 + 0.0574949i \(0.0183113\pi\)
−0.998346 + 0.0574949i \(0.981689\pi\)
\(72\) −9.12006 1.45489i −1.07481 0.171461i
\(73\) 1.05102 0.606807i 0.123013 0.0710214i −0.437231 0.899349i \(-0.644041\pi\)
0.560244 + 0.828328i \(0.310707\pi\)
\(74\) 9.85117 5.68758i 1.14518 0.661167i
\(75\) −2.11898 + 5.97323i −0.244678 + 0.689729i
\(76\) 0.485670i 0.0557102i
\(77\) 6.20012 6.25330i 0.706569 0.712630i
\(78\) −1.94175 + 0.358764i −0.219860 + 0.0406220i
\(79\) 5.42596 9.39803i 0.610468 1.05736i −0.380694 0.924701i \(-0.624315\pi\)
0.991162 0.132660i \(-0.0423519\pi\)
\(80\) 1.22103 + 2.11489i 0.136515 + 0.236452i
\(81\) −8.55329 2.80022i −0.950366 0.311136i
\(82\) 5.85380 + 3.37969i 0.646444 + 0.373224i
\(83\) 11.6625 1.28012 0.640062 0.768323i \(-0.278909\pi\)
0.640062 + 0.768323i \(0.278909\pi\)
\(84\) −0.239906 + 3.20017i −0.0261759 + 0.349167i
\(85\) −6.50305 −0.705354
\(86\) −12.0127 6.93555i −1.29537 0.747880i
\(87\) −4.13193 + 3.52502i −0.442989 + 0.377922i
\(88\) −5.12309 8.87346i −0.546124 0.945914i
\(89\) −1.09337 + 1.89377i −0.115897 + 0.200739i −0.918138 0.396261i \(-0.870308\pi\)
0.802241 + 0.597000i \(0.203641\pi\)
\(90\) 1.41511 + 3.69880i 0.149166 + 0.389888i
\(91\) 0.695677 + 2.55265i 0.0729268 + 0.267591i
\(92\) 5.19141i 0.541242i
\(93\) 9.98448 + 3.54195i 1.03534 + 0.367283i
\(94\) 2.66262 1.53727i 0.274628 0.158557i
\(95\) 0.695460 0.401524i 0.0713527 0.0411955i
\(96\) 6.12561 + 2.17303i 0.625192 + 0.221784i
\(97\) 10.5820i 1.07444i 0.843442 + 0.537220i \(0.180526\pi\)
−0.843442 + 0.537220i \(0.819474\pi\)
\(98\) −7.98004 + 0.0681537i −0.806105 + 0.00688456i
\(99\) −3.56793 9.32582i −0.358591 0.937280i
\(100\) 1.28126 2.21921i 0.128126 0.221921i
\(101\) 2.97194 + 5.14756i 0.295719 + 0.512201i 0.975152 0.221537i \(-0.0711073\pi\)
−0.679433 + 0.733738i \(0.737774\pi\)
\(102\) 8.43669 7.19749i 0.835357 0.712658i
\(103\) 0.440177 + 0.254137i 0.0433720 + 0.0250408i 0.521529 0.853233i \(-0.325362\pi\)
−0.478157 + 0.878274i \(0.658695\pi\)
\(104\) 3.07846 0.301868
\(105\) 4.78085 2.30218i 0.466563 0.224669i
\(106\) −12.9185 −1.25476
\(107\) 1.61553 + 0.932727i 0.156179 + 0.0901701i 0.576053 0.817412i \(-0.304592\pi\)
−0.419874 + 0.907583i \(0.637926\pi\)
\(108\) 3.19496 + 1.74164i 0.307435 + 0.167590i
\(109\) 6.34844 + 10.9958i 0.608070 + 1.05321i 0.991558 + 0.129663i \(0.0413895\pi\)
−0.383488 + 0.923546i \(0.625277\pi\)
\(110\) −2.19685 + 3.80506i −0.209462 + 0.362798i
\(111\) −16.9944 + 3.13994i −1.61304 + 0.298030i
\(112\) −1.42115 + 5.39588i −0.134287 + 0.509863i
\(113\) 11.1298i 1.04700i 0.852025 + 0.523502i \(0.175375\pi\)
−0.852025 + 0.523502i \(0.824625\pi\)
\(114\) −0.457849 + 1.29064i −0.0428815 + 0.120880i
\(115\) 7.43389 4.29196i 0.693213 0.400227i
\(116\) 1.90174 1.09797i 0.176572 0.101944i
\(117\) 2.96254 + 0.472604i 0.273887 + 0.0436923i
\(118\) 6.33101i 0.582817i
\(119\) −10.5516 10.4619i −0.967262 0.959036i
\(120\) −1.12176 6.07135i −0.102402 0.554236i
\(121\) 0.0389485 0.0674608i 0.00354078 0.00613280i
\(122\) 6.17981 + 10.7037i 0.559493 + 0.969071i
\(123\) −6.66509 7.81263i −0.600971 0.704441i
\(124\) −3.70950 2.14168i −0.333123 0.192328i
\(125\) −10.0267 −0.896816
\(126\) −3.65439 + 8.27810i −0.325559 + 0.737472i
\(127\) 8.97828 0.796694 0.398347 0.917235i \(-0.369584\pi\)
0.398347 + 0.917235i \(0.369584\pi\)
\(128\) 1.88865 + 1.09041i 0.166935 + 0.0963799i
\(129\) 13.6776 + 16.0325i 1.20425 + 1.41158i
\(130\) −0.660043 1.14323i −0.0578896 0.100268i
\(131\) −3.17912 + 5.50640i −0.277761 + 0.481096i −0.970828 0.239777i \(-0.922926\pi\)
0.693067 + 0.720873i \(0.256259\pi\)
\(132\) 0.733491 + 3.96991i 0.0638422 + 0.345536i
\(133\) 1.77438 + 0.467332i 0.153858 + 0.0405229i
\(134\) 0.781988i 0.0675535i
\(135\) −0.147448 6.01494i −0.0126903 0.517684i
\(136\) −14.9727 + 8.64451i −1.28390 + 0.741261i
\(137\) 1.75177 1.01138i 0.149664 0.0864084i −0.423298 0.905991i \(-0.639128\pi\)
0.572962 + 0.819582i \(0.305794\pi\)
\(138\) −4.89403 + 13.7959i −0.416607 + 1.17438i
\(139\) 8.15987i 0.692111i 0.938214 + 0.346055i \(0.112479\pi\)
−0.938214 + 0.346055i \(0.887521\pi\)
\(140\) −2.06991 + 0.564115i −0.174939 + 0.0476764i
\(141\) −4.59333 + 0.848677i −0.386828 + 0.0714715i
\(142\) 0.552308 0.956625i 0.0463487 0.0802782i
\(143\) 1.66417 + 2.88243i 0.139165 + 0.241041i
\(144\) 4.91257 + 3.98719i 0.409381 + 0.332266i
\(145\) −3.14449 1.81547i −0.261136 0.150767i
\(146\) −1.38358 −0.114506
\(147\) 11.4609 + 3.95583i 0.945276 + 0.326271i
\(148\) 6.98738 0.574359
\(149\) −1.82291 1.05246i −0.149339 0.0862206i 0.423469 0.905911i \(-0.360812\pi\)
−0.572807 + 0.819690i \(0.694146\pi\)
\(150\) 5.49697 4.68956i 0.448825 0.382901i
\(151\) 4.52532 + 7.83808i 0.368265 + 0.637854i 0.989294 0.145933i \(-0.0466185\pi\)
−0.621029 + 0.783787i \(0.713285\pi\)
\(152\) 1.06749 1.84895i 0.0865851 0.149970i
\(153\) −15.7360 + 6.02039i −1.27218 + 0.486720i
\(154\) −9.68597 + 2.63973i −0.780517 + 0.212715i
\(155\) 7.08246i 0.568877i
\(156\) −1.14315 0.405526i −0.0915249 0.0324681i
\(157\) −9.45875 + 5.46101i −0.754891 + 0.435836i −0.827458 0.561527i \(-0.810214\pi\)
0.0725677 + 0.997363i \(0.476881\pi\)
\(158\) −10.7142 + 6.18584i −0.852376 + 0.492119i
\(159\) 18.4974 + 6.56188i 1.46694 + 0.520391i
\(160\) 4.34518i 0.343516i
\(161\) 18.9667 + 4.99539i 1.49478 + 0.393692i
\(162\) 6.84855 + 7.64026i 0.538073 + 0.600275i
\(163\) 1.33302 2.30887i 0.104410 0.180844i −0.809087 0.587689i \(-0.800038\pi\)
0.913497 + 0.406845i \(0.133371\pi\)
\(164\) 2.07603 + 3.59580i 0.162111 + 0.280785i
\(165\) 5.07833 4.33242i 0.395348 0.337278i
\(166\) −11.5145 6.64789i −0.893697 0.515976i
\(167\) 4.34535 0.336253 0.168127 0.985765i \(-0.446228\pi\)
0.168127 + 0.985765i \(0.446228\pi\)
\(168\) 7.94723 11.6558i 0.613142 0.899262i
\(169\) −1.00000 −0.0769231
\(170\) 6.42052 + 3.70689i 0.492431 + 0.284305i
\(171\) 1.31115 1.61545i 0.100266 0.123536i
\(172\) −4.26028 7.37903i −0.324843 0.562645i
\(173\) −0.0472049 + 0.0817613i −0.00358892 + 0.00621619i −0.867814 0.496889i \(-0.834476\pi\)
0.864225 + 0.503105i \(0.167809\pi\)
\(174\) 6.08884 1.12499i 0.461593 0.0852853i
\(175\) −6.87493 6.81647i −0.519696 0.515276i
\(176\) 7.01949i 0.529114i
\(177\) 3.21580 9.06508i 0.241714 0.681373i
\(178\) 2.15898 1.24649i 0.161823 0.0934284i
\(179\) −16.3356 + 9.43137i −1.22098 + 0.704934i −0.965127 0.261782i \(-0.915690\pi\)
−0.255854 + 0.966715i \(0.582357\pi\)
\(180\) −0.383228 + 2.40228i −0.0285642 + 0.179056i
\(181\) 4.05663i 0.301527i 0.988570 + 0.150763i \(0.0481732\pi\)
−0.988570 + 0.150763i \(0.951827\pi\)
\(182\) 0.768223 2.91681i 0.0569444 0.216208i
\(183\) −3.41168 18.4652i −0.252199 1.36499i
\(184\) 11.4106 19.7638i 0.841202 1.45700i
\(185\) −5.77676 10.0056i −0.424716 0.735630i
\(186\) −7.83878 9.18839i −0.574767 0.673725i
\(187\) −16.1881 9.34621i −1.18379 0.683463i
\(188\) 1.88858 0.137739
\(189\) 9.43736 9.99681i 0.686467 0.727161i
\(190\) −0.915512 −0.0664182
\(191\) 13.9069 + 8.02913i 1.00626 + 0.580967i 0.910096 0.414398i \(-0.136008\pi\)
0.0961691 + 0.995365i \(0.469341\pi\)
\(192\) −9.55083 11.1952i −0.689272 0.807945i
\(193\) 7.34283 + 12.7182i 0.528549 + 0.915473i 0.999446 + 0.0332851i \(0.0105969\pi\)
−0.470897 + 0.882188i \(0.656070\pi\)
\(194\) 6.03199 10.4477i 0.433072 0.750102i
\(195\) 0.364390 + 1.97220i 0.0260945 + 0.141232i
\(196\) −4.26608 2.41468i −0.304720 0.172477i
\(197\) 7.74004i 0.551455i −0.961236 0.275728i \(-0.911081\pi\)
0.961236 0.275728i \(-0.0889188\pi\)
\(198\) −1.79328 + 11.2413i −0.127443 + 0.798883i
\(199\) −18.5731 + 10.7232i −1.31661 + 0.760145i −0.983182 0.182631i \(-0.941539\pi\)
−0.333428 + 0.942776i \(0.608205\pi\)
\(200\) −9.75555 + 5.63237i −0.689822 + 0.398269i
\(201\) 0.397206 1.11969i 0.0280168 0.0789770i
\(202\) 6.77631i 0.476779i
\(203\) −2.18146 8.00446i −0.153109 0.561803i
\(204\) 6.69867 1.23767i 0.469001 0.0866539i
\(205\) 3.43269 5.94559i 0.239749 0.415258i
\(206\) −0.289727 0.501823i −0.0201863 0.0349636i
\(207\) 14.0151 17.2678i 0.974115 1.20019i
\(208\) −1.82645 1.05450i −0.126641 0.0731165i
\(209\) 2.30829 0.159668
\(210\) −6.03247 0.452234i −0.416280 0.0312071i
\(211\) −18.2972 −1.25963 −0.629816 0.776744i \(-0.716870\pi\)
−0.629816 + 0.776744i \(0.716870\pi\)
\(212\) −6.87228 3.96771i −0.471990 0.272504i
\(213\) −1.27674 + 1.08921i −0.0874806 + 0.0746312i
\(214\) −1.06335 1.84178i −0.0726893 0.125902i
\(215\) −7.04430 + 12.2011i −0.480418 + 0.832108i
\(216\) −8.33516 13.6529i −0.567136 0.928963i
\(217\) −11.3940 + 11.4917i −0.773474 + 0.780108i
\(218\) 14.4750i 0.980373i
\(219\) 1.98108 + 0.702779i 0.133869 + 0.0474894i
\(220\) −2.33733 + 1.34946i −0.157582 + 0.0909803i
\(221\) 4.86371 2.80806i 0.327168 0.188891i
\(222\) 18.5686 + 6.58712i 1.24624 + 0.442099i
\(223\) 11.0508i 0.740016i −0.929029 0.370008i \(-0.879355\pi\)
0.929029 0.370008i \(-0.120645\pi\)
\(224\) −6.99036 + 7.05031i −0.467063 + 0.471069i
\(225\) −10.2529 + 3.92261i −0.683526 + 0.261508i
\(226\) 6.34425 10.9886i 0.422013 0.730948i
\(227\) −10.6054 18.3691i −0.703907 1.21920i −0.967084 0.254456i \(-0.918104\pi\)
0.263177 0.964748i \(-0.415230\pi\)
\(228\) −0.639962 + 0.545963i −0.0423825 + 0.0361573i
\(229\) 0.389713 + 0.225001i 0.0257530 + 0.0148685i 0.512821 0.858495i \(-0.328600\pi\)
−0.487068 + 0.873364i \(0.661934\pi\)
\(230\) −9.78606 −0.645274
\(231\) 15.2097 + 1.14022i 1.00073 + 0.0750212i
\(232\) −9.65325 −0.633767
\(233\) 11.2355 + 6.48683i 0.736063 + 0.424966i 0.820636 0.571451i \(-0.193619\pi\)
−0.0845729 + 0.996417i \(0.526953\pi\)
\(234\) −2.65555 2.15532i −0.173599 0.140898i
\(235\) −1.56137 2.70437i −0.101853 0.176414i
\(236\) −1.94447 + 3.36792i −0.126574 + 0.219233i
\(237\) 18.4832 3.41501i 1.20061 0.221829i
\(238\) 4.45418 + 16.3437i 0.288721 + 1.05941i
\(239\) 17.6489i 1.14161i −0.821086 0.570805i \(-0.806631\pi\)
0.821086 0.570805i \(-0.193369\pi\)
\(240\) −1.41415 + 3.98638i −0.0912830 + 0.257319i
\(241\) 16.6059 9.58745i 1.06968 0.617582i 0.141588 0.989926i \(-0.454779\pi\)
0.928095 + 0.372344i \(0.121446\pi\)
\(242\) −0.0769085 + 0.0444031i −0.00494387 + 0.00285434i
\(243\) −5.92531 14.4184i −0.380109 0.924942i
\(244\) 7.59211i 0.486035i
\(245\) 0.0692224 + 8.10517i 0.00442245 + 0.517820i
\(246\) 2.12713 + 11.5127i 0.135621 + 0.734025i
\(247\) −0.346762 + 0.600609i −0.0220639 + 0.0382159i
\(248\) 9.41473 + 16.3068i 0.597836 + 1.03548i
\(249\) 13.1103 + 15.3675i 0.830832 + 0.973877i
\(250\) 9.89946 + 5.71546i 0.626097 + 0.361477i
\(251\) −5.89768 −0.372258 −0.186129 0.982525i \(-0.559594\pi\)
−0.186129 + 0.982525i \(0.559594\pi\)
\(252\) −4.48651 + 3.28133i −0.282624 + 0.206704i
\(253\) 24.6737 1.55122
\(254\) −8.86434 5.11783i −0.556198 0.321121i
\(255\) −7.31035 8.56899i −0.457792 0.536611i
\(256\) 7.25298 + 12.5625i 0.453311 + 0.785158i
\(257\) 5.66163 9.80623i 0.353163 0.611696i −0.633639 0.773629i \(-0.718439\pi\)
0.986802 + 0.161933i \(0.0517728\pi\)
\(258\) −4.36513 23.6256i −0.271761 1.47086i
\(259\) 6.72355 25.5282i 0.417781 1.58624i
\(260\) 0.810886i 0.0502890i
\(261\) −9.28976 1.48197i −0.575022 0.0917313i
\(262\) 6.27755 3.62435i 0.387829 0.223913i
\(263\) 2.11608 1.22172i 0.130483 0.0753344i −0.433338 0.901232i \(-0.642664\pi\)
0.563821 + 0.825897i \(0.309331\pi\)
\(264\) 5.93336 16.7257i 0.365173 1.02939i
\(265\) 13.1211i 0.806022i
\(266\) −1.48547 1.47284i −0.0910802 0.0903056i
\(267\) −3.72450 + 0.688149i −0.227936 + 0.0421140i
\(268\) −0.240175 + 0.415995i −0.0146710 + 0.0254109i
\(269\) −1.66585 2.88533i −0.101568 0.175922i 0.810763 0.585375i \(-0.199053\pi\)
−0.912331 + 0.409453i \(0.865719\pi\)
\(270\) −3.28308 + 6.02266i −0.199802 + 0.366527i
\(271\) 26.1725 + 15.1107i 1.58987 + 0.917910i 0.993328 + 0.115325i \(0.0367911\pi\)
0.596539 + 0.802584i \(0.296542\pi\)
\(272\) 11.8444 0.718174
\(273\) −2.58156 + 3.78623i −0.156243 + 0.229153i
\(274\) −2.30605 −0.139314
\(275\) −10.5474 6.08957i −0.636035 0.367215i
\(276\) −6.84066 + 5.83589i −0.411760 + 0.351279i
\(277\) 6.34839 + 10.9957i 0.381437 + 0.660669i 0.991268 0.131863i \(-0.0420958\pi\)
−0.609830 + 0.792532i \(0.708762\pi\)
\(278\) 4.65131 8.05631i 0.278967 0.483186i
\(279\) 6.55680 + 17.1381i 0.392545 + 1.02603i
\(280\) 9.12009 + 2.40203i 0.545029 + 0.143549i
\(281\) 18.8766i 1.12608i 0.826428 + 0.563042i \(0.190369\pi\)
−0.826428 + 0.563042i \(0.809631\pi\)
\(282\) 5.01880 + 1.78040i 0.298865 + 0.106021i
\(283\) −8.18888 + 4.72785i −0.486778 + 0.281042i −0.723237 0.690600i \(-0.757347\pi\)
0.236459 + 0.971642i \(0.424013\pi\)
\(284\) 0.587624 0.339265i 0.0348691 0.0201317i
\(285\) 1.31088 + 0.465029i 0.0776498 + 0.0275459i
\(286\) 3.79447i 0.224372i
\(287\) 15.1348 4.12470i 0.893378 0.243473i
\(288\) 4.02268 + 10.5144i 0.237039 + 0.619569i
\(289\) −7.27045 + 12.5928i −0.427673 + 0.740752i
\(290\) 2.06972 + 3.58487i 0.121538 + 0.210511i
\(291\) −13.9438 + 11.8957i −0.817399 + 0.697338i
\(292\) −0.736023 0.424943i −0.0430725 0.0248679i
\(293\) 20.3935 1.19140 0.595700 0.803207i \(-0.296875\pi\)
0.595700 + 0.803207i \(0.296875\pi\)
\(294\) −9.06051 10.4386i −0.528420 0.608791i
\(295\) 6.43029 0.374386
\(296\) −26.6011 15.3581i −1.54615 0.892673i
\(297\) 8.27766 15.1850i 0.480319 0.881122i
\(298\) 1.19985 + 2.07820i 0.0695054 + 0.120387i
\(299\) −3.70660 + 6.42002i −0.214358 + 0.371279i
\(300\) 4.36455 0.806407i 0.251987 0.0465579i
\(301\) −31.0585 + 8.46440i −1.79018 + 0.487880i
\(302\) 10.3181i 0.593743i
\(303\) −3.44199 + 9.70269i −0.197737 + 0.557405i
\(304\) −1.26669 + 0.731322i −0.0726495 + 0.0419442i
\(305\) 10.8716 6.27671i 0.622505 0.359403i
\(306\) 18.9681 + 3.02592i 1.08433 + 0.172980i
\(307\) 15.3648i 0.876913i 0.898752 + 0.438456i \(0.144475\pi\)
−0.898752 + 0.438456i \(0.855525\pi\)
\(308\) −5.96340 1.57063i −0.339796 0.0894948i
\(309\) 0.159950 + 0.865702i 0.00909922 + 0.0492481i
\(310\) 4.03717 6.99258i 0.229296 0.397152i
\(311\) −16.1032 27.8916i −0.913130 1.58159i −0.809616 0.586960i \(-0.800325\pi\)
−0.103514 0.994628i \(-0.533009\pi\)
\(312\) 3.46063 + 4.05645i 0.195920 + 0.229651i
\(313\) −1.42273 0.821415i −0.0804176 0.0464291i 0.459252 0.888306i \(-0.348117\pi\)
−0.539670 + 0.841877i \(0.681451\pi\)
\(314\) 12.4516 0.702686
\(315\) 8.40791 + 3.71169i 0.473732 + 0.209130i
\(316\) −7.59953 −0.427507
\(317\) 16.6075 + 9.58836i 0.932772 + 0.538536i 0.887687 0.460447i \(-0.152311\pi\)
0.0450849 + 0.998983i \(0.485644\pi\)
\(318\) −14.5223 17.0226i −0.814368 0.954579i
\(319\) −5.21842 9.03856i −0.292175 0.506062i
\(320\) 4.91892 8.51981i 0.274976 0.476272i
\(321\) 0.587044 + 3.17728i 0.0327656 + 0.177339i
\(322\) −15.8785 15.7434i −0.884873 0.877348i
\(323\) 3.89492i 0.216719i
\(324\) 1.29665 + 6.16782i 0.0720362 + 0.342657i
\(325\) 3.16897 1.82961i 0.175783 0.101488i
\(326\) −2.63221 + 1.51971i −0.145785 + 0.0841689i
\(327\) −7.35251 + 20.7261i −0.406595 + 1.14616i
\(328\) 18.2523i 1.00782i
\(329\) 1.81727 6.89988i 0.100190 0.380403i
\(330\) −7.48346 + 1.38267i −0.411951 + 0.0761133i
\(331\) −1.32548 + 2.29580i −0.0728551 + 0.126189i −0.900152 0.435577i \(-0.856544\pi\)
0.827296 + 0.561766i \(0.189878\pi\)
\(332\) −4.08358 7.07297i −0.224116 0.388180i
\(333\) −23.2416 18.8636i −1.27363 1.03372i
\(334\) −4.29020 2.47695i −0.234749 0.135533i
\(335\) 0.794250 0.0433945
\(336\) −8.70767 + 4.19311i −0.475042 + 0.228753i
\(337\) 29.9011 1.62882 0.814409 0.580291i \(-0.197061\pi\)
0.814409 + 0.580291i \(0.197061\pi\)
\(338\) 0.987309 + 0.570023i 0.0537026 + 0.0310052i
\(339\) −14.6656 + 12.5115i −0.796526 + 0.679531i
\(340\) 2.27702 + 3.94392i 0.123489 + 0.213889i
\(341\) −10.1789 + 17.6305i −0.551221 + 0.954742i
\(342\) −2.21535 + 0.847563i −0.119792 + 0.0458310i
\(343\) −12.9270 + 13.2625i −0.697991 + 0.716107i
\(344\) 37.4560i 2.01949i
\(345\) 14.0122 + 4.97077i 0.754392 + 0.267617i
\(346\) 0.0932117 0.0538158i 0.00501109 0.00289315i
\(347\) 2.69427 1.55554i 0.144636 0.0835057i −0.425936 0.904754i \(-0.640055\pi\)
0.570572 + 0.821248i \(0.306722\pi\)
\(348\) 3.58461 + 1.27162i 0.192155 + 0.0681662i
\(349\) 6.36171i 0.340535i −0.985398 0.170267i \(-0.945537\pi\)
0.985398 0.170267i \(-0.0544631\pi\)
\(350\) 2.90214 + 10.6488i 0.155126 + 0.569204i
\(351\) 2.70757 + 4.43498i 0.144520 + 0.236722i
\(352\) −6.24491 + 10.8165i −0.332855 + 0.576522i
\(353\) −8.99031 15.5717i −0.478506 0.828797i 0.521190 0.853441i \(-0.325488\pi\)
−0.999696 + 0.0246437i \(0.992155\pi\)
\(354\) −8.34230 + 7.11696i −0.443388 + 0.378262i
\(355\) −0.971626 0.560969i −0.0515686 0.0297731i
\(356\) 1.53136 0.0811617
\(357\) 1.92397 25.6643i 0.101827 1.35830i
\(358\) 21.5044 1.13654
\(359\) −9.45306 5.45773i −0.498913 0.288048i 0.229351 0.973344i \(-0.426340\pi\)
−0.728265 + 0.685296i \(0.759673\pi\)
\(360\) 6.73912 8.30319i 0.355183 0.437617i
\(361\) −9.25951 16.0379i −0.487343 0.844102i
\(362\) 2.31237 4.00515i 0.121536 0.210506i
\(363\) 0.132676 0.0245136i 0.00696369 0.00128663i
\(364\) 1.30452 1.31571i 0.0683756 0.0689620i
\(365\) 1.40527i 0.0735553i
\(366\) −7.15720 + 20.1756i −0.374113 + 1.05459i
\(367\) 2.04478 1.18056i 0.106737 0.0616246i −0.445681 0.895192i \(-0.647039\pi\)
0.552418 + 0.833567i \(0.313705\pi\)
\(368\) −13.5398 + 7.81722i −0.705812 + 0.407501i
\(369\) 2.80209 17.5650i 0.145871 0.914398i
\(370\) 13.1716i 0.684757i
\(371\) −21.1087 + 21.2898i −1.09591 + 1.10531i
\(372\) −1.34794 7.29551i −0.0698874 0.378255i
\(373\) 11.4679 19.8630i 0.593785 1.02847i −0.399932 0.916545i \(-0.630966\pi\)
0.993717 0.111922i \(-0.0357005\pi\)
\(374\) 10.6551 + 18.4552i 0.550963 + 0.954296i
\(375\) −11.2715 13.2121i −0.582055 0.682268i
\(376\) −7.18986 4.15107i −0.370789 0.214075i
\(377\) 3.13574 0.161499
\(378\) −15.0160 + 4.49043i −0.772340 + 0.230963i
\(379\) 10.5578 0.542318 0.271159 0.962535i \(-0.412593\pi\)
0.271159 + 0.962535i \(0.412593\pi\)
\(380\) −0.487026 0.281185i −0.0249839 0.0144245i
\(381\) 10.0929 + 11.8306i 0.517074 + 0.606099i
\(382\) −9.15358 15.8545i −0.468338 0.811185i
\(383\) 9.88272 17.1174i 0.504983 0.874657i −0.495000 0.868893i \(-0.664832\pi\)
0.999983 0.00576391i \(-0.00183472\pi\)
\(384\) 0.686290 + 3.71444i 0.0350221 + 0.189552i
\(385\) 2.68112 + 9.83785i 0.136643 + 0.501383i
\(386\) 16.7423i 0.852163i
\(387\) −5.75024 + 36.0456i −0.292301 + 1.83230i
\(388\) 6.41769 3.70526i 0.325809 0.188106i
\(389\) −15.2961 + 8.83122i −0.775544 + 0.447761i −0.834849 0.550479i \(-0.814445\pi\)
0.0593046 + 0.998240i \(0.481112\pi\)
\(390\) 0.764436 2.15488i 0.0387087 0.109117i
\(391\) 41.6334i 2.10549i
\(392\) 10.9336 + 18.5695i 0.552230 + 0.937900i
\(393\) −10.8295 + 2.00089i −0.546276 + 0.100932i
\(394\) −4.41201 + 7.64182i −0.222274 + 0.384989i
\(395\) 6.28284 + 10.8822i 0.316124 + 0.547543i
\(396\) −4.40655 + 5.42926i −0.221437 + 0.272830i
\(397\) −31.0871 17.9481i −1.56022 0.900791i −0.997234 0.0743205i \(-0.976321\pi\)
−0.562981 0.826470i \(-0.690345\pi\)
\(398\) 24.4498 1.22556
\(399\) 1.37886 + 2.86343i 0.0690294 + 0.143351i
\(400\) 7.71729 0.385864
\(401\) 21.4826 + 12.4030i 1.07279 + 0.619376i 0.928943 0.370224i \(-0.120719\pi\)
0.143848 + 0.989600i \(0.454052\pi\)
\(402\) −1.03042 + 0.879066i −0.0513925 + 0.0438438i
\(403\) −3.05826 5.29706i −0.152343 0.263865i
\(404\) 2.08123 3.60480i 0.103545 0.179346i
\(405\) 7.76006 6.95594i 0.385601 0.345644i
\(406\) −2.40895 + 9.14636i −0.119554 + 0.453926i
\(407\) 33.2096i 1.64614i
\(408\) −28.2223 10.0117i −1.39721 0.495654i
\(409\) 14.4326 8.33269i 0.713648 0.412025i −0.0987624 0.995111i \(-0.531488\pi\)
0.812410 + 0.583086i \(0.198155\pi\)
\(410\) −6.77825 + 3.91342i −0.334754 + 0.193270i
\(411\) 3.30193 + 1.17135i 0.162872 + 0.0577782i
\(412\) 0.355940i 0.0175359i
\(413\) 10.4335 + 10.3448i 0.513400 + 0.509034i
\(414\) −23.6803 + 9.05974i −1.16382 + 0.445262i
\(415\) −6.75213 + 11.6950i −0.331449 + 0.574087i
\(416\) −1.87628 3.24981i −0.0919922 0.159335i
\(417\) −10.7522 + 9.17286i −0.526536 + 0.449197i
\(418\) −2.27900 1.31578i −0.111469 0.0643568i
\(419\) 3.86092 0.188618 0.0943092 0.995543i \(-0.469936\pi\)
0.0943092 + 0.995543i \(0.469936\pi\)
\(420\) −3.07020 2.09335i −0.149811 0.102145i
\(421\) 6.23300 0.303778 0.151889 0.988398i \(-0.451464\pi\)
0.151889 + 0.988398i \(0.451464\pi\)
\(422\) 18.0650 + 10.4298i 0.879391 + 0.507717i
\(423\) −6.28185 5.09854i −0.305434 0.247900i
\(424\) 17.4419 + 30.2103i 0.847053 + 1.46714i
\(425\) −10.2753 + 17.7973i −0.498425 + 0.863298i
\(426\) 1.88141 0.347614i 0.0911545 0.0168420i
\(427\) 27.7375 + 7.30544i 1.34231 + 0.353535i
\(428\) 1.30637i 0.0631455i
\(429\) −1.92738 + 5.43313i −0.0930547 + 0.262314i
\(430\) 13.9098 8.03084i 0.670791 0.387281i
\(431\) 1.84655 1.06611i 0.0889452 0.0513525i −0.454868 0.890559i \(-0.650313\pi\)
0.543813 + 0.839207i \(0.316980\pi\)
\(432\) 0.268556 + 10.9554i 0.0129209 + 0.527092i
\(433\) 15.9100i 0.764585i 0.924041 + 0.382293i \(0.124865\pi\)
−0.924041 + 0.382293i \(0.875135\pi\)
\(434\) 17.7999 4.85104i 0.854424 0.232857i
\(435\) −1.14263 6.18431i −0.0547850 0.296515i
\(436\) 4.44577 7.70030i 0.212914 0.368778i
\(437\) 2.57061 + 4.45243i 0.122969 + 0.212989i
\(438\) −1.55534 1.82312i −0.0743169 0.0871121i
\(439\) −5.90758 3.41074i −0.281953 0.162786i 0.352354 0.935867i \(-0.385381\pi\)
−0.634307 + 0.773081i \(0.718715\pi\)
\(440\) 11.8643 0.565608
\(441\) 7.67111 + 19.5488i 0.365291 + 0.930893i
\(442\) −6.40265 −0.304543
\(443\) 0.693051 + 0.400133i 0.0329279 + 0.0190109i 0.516374 0.856363i \(-0.327282\pi\)
−0.483446 + 0.875374i \(0.660615\pi\)
\(444\) 7.85482 + 9.20719i 0.372773 + 0.436954i
\(445\) −1.26604 2.19284i −0.0600159 0.103951i
\(446\) −6.29921 + 10.9105i −0.298276 + 0.516629i
\(447\) −0.662400 3.58514i −0.0313305 0.169571i
\(448\) 21.6876 5.91054i 1.02464 0.279247i
\(449\) 4.17909i 0.197223i −0.995126 0.0986117i \(-0.968560\pi\)
0.995126 0.0986117i \(-0.0314402\pi\)
\(450\) 12.3588 + 1.97155i 0.582597 + 0.0929398i
\(451\) 17.0901 9.86695i 0.804740 0.464617i
\(452\) 6.74991 3.89706i 0.317489 0.183302i
\(453\) −5.24104 + 14.7741i −0.246246 + 0.694147i
\(454\) 24.1814i 1.13489i
\(455\) −2.96255 0.780269i −0.138886 0.0365796i
\(456\) 3.63636 0.671864i 0.170288 0.0314629i
\(457\) 19.3764 33.5609i 0.906388 1.56991i 0.0873453 0.996178i \(-0.472162\pi\)
0.819043 0.573732i \(-0.194505\pi\)
\(458\) −0.256512 0.444291i −0.0119860 0.0207604i
\(459\) −25.6226 13.9674i −1.19596 0.651943i
\(460\) −5.20590 3.00563i −0.242726 0.140138i
\(461\) −32.8166 −1.52842 −0.764211 0.644966i \(-0.776872\pi\)
−0.764211 + 0.644966i \(0.776872\pi\)
\(462\) −14.3668 9.79565i −0.668402 0.455735i
\(463\) −6.83806 −0.317792 −0.158896 0.987295i \(-0.550793\pi\)
−0.158896 + 0.987295i \(0.550793\pi\)
\(464\) 5.72727 + 3.30664i 0.265882 + 0.153507i
\(465\) −9.33247 + 7.96170i −0.432783 + 0.369215i
\(466\) −7.39529 12.8090i −0.342580 0.593366i
\(467\) −16.9174 + 29.3017i −0.782842 + 1.35592i 0.147438 + 0.989071i \(0.452897\pi\)
−0.930280 + 0.366851i \(0.880436\pi\)
\(468\) −0.750702 1.96218i −0.0347012 0.0907017i
\(469\) 1.28872 + 1.27776i 0.0595075 + 0.0590014i
\(470\) 3.56007i 0.164214i
\(471\) −17.8289 6.32473i −0.821512 0.291428i
\(472\) 14.8052 8.54779i 0.681465 0.393444i
\(473\) −35.0710 + 20.2482i −1.61256 + 0.931014i
\(474\) −20.1953 7.16420i −0.927601 0.329062i
\(475\) 2.53775i 0.116440i
\(476\) −2.65022 + 10.0624i −0.121473 + 0.461210i
\(477\) 12.1472 + 31.7504i 0.556184 + 1.45375i
\(478\) −10.0603 + 17.4249i −0.460145 + 0.796995i
\(479\) −16.0537 27.8059i −0.733514 1.27048i −0.955372 0.295405i \(-0.904545\pi\)
0.221858 0.975079i \(-0.428788\pi\)
\(480\) −5.72559 + 4.88460i −0.261336 + 0.222951i
\(481\) 8.64102 + 4.98890i 0.393997 + 0.227474i
\(482\) −21.8603 −0.995708
\(483\) 14.7389 + 30.6077i 0.670642 + 1.39270i
\(484\) −0.0545508 −0.00247958
\(485\) −10.6115 6.12658i −0.481845 0.278194i
\(486\) −2.36872 + 17.6130i −0.107448 + 0.798942i
\(487\) 4.88254 + 8.45680i 0.221249 + 0.383214i 0.955187 0.296001i \(-0.0956533\pi\)
−0.733939 + 0.679216i \(0.762320\pi\)
\(488\) 16.6873 28.9032i 0.755398 1.30839i
\(489\) 4.54087 0.838985i 0.205345 0.0379402i
\(490\) 4.55179 8.04177i 0.205629 0.363290i
\(491\) 10.3757i 0.468250i 0.972207 + 0.234125i \(0.0752225\pi\)
−0.972207 + 0.234125i \(0.924778\pi\)
\(492\) −2.40438 + 6.77776i −0.108398 + 0.305565i
\(493\) −15.2513 + 8.80536i −0.686885 + 0.396573i
\(494\) 0.684723 0.395325i 0.0308071 0.0177865i
\(495\) 11.4175 + 1.82140i 0.513181 + 0.0818660i
\(496\) 12.8997i 0.579216i
\(497\) −0.674057 2.47332i −0.0302356 0.110944i
\(498\) −4.18408 22.6457i −0.187493 1.01478i
\(499\) −7.31298 + 12.6665i −0.327374 + 0.567028i −0.981990 0.188933i \(-0.939497\pi\)
0.654616 + 0.755962i \(0.272830\pi\)
\(500\) 3.51082 + 6.08092i 0.157009 + 0.271947i
\(501\) 4.88479 + 5.72581i 0.218236 + 0.255810i
\(502\) 5.82283 + 3.36181i 0.259886 + 0.150045i
\(503\) 33.1403 1.47765 0.738825 0.673897i \(-0.235381\pi\)
0.738825 + 0.673897i \(0.235381\pi\)
\(504\) 24.2925 2.63078i 1.08207 0.117184i
\(505\) −6.88257 −0.306270
\(506\) −24.3606 14.0646i −1.08296 0.625247i
\(507\) −1.12414 1.31769i −0.0499249 0.0585206i
\(508\) −3.14372 5.44508i −0.139480 0.241586i
\(509\) 21.1317 36.6011i 0.936645 1.62232i 0.164971 0.986298i \(-0.447247\pi\)
0.771674 0.636018i \(-0.219420\pi\)
\(510\) 2.33306 + 12.6273i 0.103310 + 0.559147i
\(511\) −2.26075 + 2.28014i −0.100010 + 0.100867i
\(512\) 20.8991i 0.923619i
\(513\) 3.60257 0.0883120i 0.159058 0.00389907i
\(514\) −11.1796 + 6.45452i −0.493109 + 0.284697i
\(515\) −0.509692 + 0.294271i −0.0224597 + 0.0129671i
\(516\) 4.93409 13.9088i 0.217211 0.612301i
\(517\) 8.97604i 0.394766i
\(518\) −21.1899 + 21.3716i −0.931030 + 0.939016i
\(519\) −0.160801 + 0.0297100i −0.00705838 + 0.00130413i
\(520\) −1.78231 + 3.08705i −0.0781595 + 0.135376i
\(521\) −20.9354 36.2612i −0.917196 1.58863i −0.803654 0.595097i \(-0.797114\pi\)
−0.113542 0.993533i \(-0.536220\pi\)
\(522\) 8.32711 + 6.75854i 0.364468 + 0.295813i
\(523\) 8.15800 + 4.71002i 0.356724 + 0.205955i 0.667643 0.744482i \(-0.267303\pi\)
−0.310919 + 0.950437i \(0.600637\pi\)
\(524\) 4.45264 0.194514
\(525\) 1.25357 16.7217i 0.0547103 0.729795i
\(526\) −2.78563 −0.121459
\(527\) 29.7490 + 17.1756i 1.29588 + 0.748179i
\(528\) −9.24950 + 7.89091i −0.402533 + 0.343408i
\(529\) 15.9777 + 27.6742i 0.694684 + 1.20323i
\(530\) 7.47933 12.9546i 0.324881 0.562711i
\(531\) 15.5600 5.95303i 0.675245 0.258340i
\(532\) −0.337870 1.23975i −0.0146485 0.0537499i
\(533\) 5.92904i 0.256815i
\(534\) 4.06949 + 1.44363i 0.176104 + 0.0624722i
\(535\) −1.87066 + 1.08003i −0.0808757 + 0.0466936i
\(536\) 1.82870 1.05580i 0.0789876 0.0456035i
\(537\) −30.7912 10.9230i −1.32874 0.471364i
\(538\) 3.79829i 0.163756i
\(539\) −11.4765 + 20.2758i −0.494327 + 0.873340i
\(540\) −3.59626 + 2.19553i −0.154759 + 0.0944808i
\(541\) 4.14442 7.17834i 0.178182 0.308621i −0.763076 0.646309i \(-0.776312\pi\)
0.941258 + 0.337688i \(0.109645\pi\)
\(542\) −17.2269 29.8379i −0.739959 1.28165i
\(543\) −5.34537 + 4.56023i −0.229392 + 0.195698i
\(544\) 18.2514 + 10.5374i 0.782521 + 0.451789i
\(545\) −14.7020 −0.629765
\(546\) 4.70704 2.26663i 0.201443 0.0970030i
\(547\) 4.39634 0.187974 0.0939870 0.995573i \(-0.470039\pi\)
0.0939870 + 0.995573i \(0.470039\pi\)
\(548\) −1.22675 0.708266i −0.0524043 0.0302556i
\(549\) 20.4961 25.2530i 0.874754 1.07777i
\(550\) 6.94239 + 12.0246i 0.296025 + 0.512730i
\(551\) 1.08736 1.88336i 0.0463229 0.0802336i
\(552\) 38.8696 7.18167i 1.65440 0.305672i
\(553\) −7.31258 + 27.7646i −0.310963 + 1.18067i
\(554\) 14.4749i 0.614980i
\(555\) 6.69041 18.8597i 0.283992 0.800552i
\(556\) 4.94873 2.85715i 0.209873 0.121170i
\(557\) 25.4288 14.6813i 1.07745 0.622069i 0.147246 0.989100i \(-0.452959\pi\)
0.930209 + 0.367031i \(0.119626\pi\)
\(558\) 3.29552 20.6581i 0.139511 0.874528i
\(559\) 12.1671i 0.514615i
\(560\) −4.58815 4.54913i −0.193885 0.192236i
\(561\) −5.88236 31.8374i −0.248354 1.34417i
\(562\) 10.7601 18.6370i 0.453888 0.786156i
\(563\) 19.3315 + 33.4831i 0.814724 + 1.41114i 0.909526 + 0.415647i \(0.136445\pi\)
−0.0948018 + 0.995496i \(0.530222\pi\)
\(564\) 2.12304 + 2.48856i 0.0893960 + 0.104787i
\(565\) −11.1609 6.44373i −0.469541 0.271090i
\(566\) 10.7799 0.453115
\(567\) 23.7816 + 1.19766i 0.998734 + 0.0502968i
\(568\) −2.98279 −0.125155
\(569\) 23.8868 + 13.7910i 1.00139 + 0.578150i 0.908658 0.417541i \(-0.137108\pi\)
0.0927276 + 0.995692i \(0.470441\pi\)
\(570\) −1.02917 1.20636i −0.0431070 0.0505288i
\(571\) −21.8712 37.8821i −0.915282 1.58532i −0.806488 0.591251i \(-0.798634\pi\)
−0.108794 0.994064i \(-0.534699\pi\)
\(572\) 1.16541 2.01855i 0.0487282 0.0843998i
\(573\) 5.05341 + 27.3508i 0.211109 + 1.14260i
\(574\) −17.2939 4.55482i −0.721833 0.190115i
\(575\) 27.1265i 1.13125i
\(576\) 4.01529 25.1700i 0.167304 1.04875i
\(577\) −11.5339 + 6.65907i −0.480161 + 0.277221i −0.720483 0.693472i \(-0.756080\pi\)
0.240323 + 0.970693i \(0.422747\pi\)
\(578\) 14.3564 8.28865i 0.597146 0.344762i
\(579\) −8.50417 + 23.9726i −0.353421 + 0.996267i
\(580\) 2.54273i 0.105581i
\(581\) −29.7703 + 8.11333i −1.23508 + 0.336598i
\(582\) 20.5477 3.79644i 0.851728 0.157368i
\(583\) −18.8577 + 32.6625i −0.781006 + 1.35274i
\(584\) 1.86803 + 3.23552i 0.0772997 + 0.133887i
\(585\) −2.18912 + 2.69719i −0.0905090 + 0.111515i
\(586\) −20.1347 11.6248i −0.831756 0.480214i
\(587\) −19.6830 −0.812406 −0.406203 0.913783i \(-0.633147\pi\)
−0.406203 + 0.913783i \(0.633147\pi\)
\(588\) −1.61389 8.33581i −0.0665556 0.343763i
\(589\) −4.24195 −0.174787
\(590\) −6.34868 3.66541i −0.261371 0.150903i
\(591\) 10.1990 8.70092i 0.419529 0.357908i
\(592\) 10.5216 + 18.2239i 0.432435 + 0.748999i
\(593\) 0.992042 1.71827i 0.0407383 0.0705608i −0.844937 0.534865i \(-0.820362\pi\)
0.885676 + 0.464305i \(0.153696\pi\)
\(594\) −16.8284 + 10.2738i −0.690478 + 0.421540i
\(595\) 16.6000 4.52402i 0.680534 0.185467i
\(596\) 1.47406i 0.0603797i
\(597\) −35.0086 12.4191i −1.43281 0.508281i
\(598\) 7.31912 4.22569i 0.299301 0.172801i
\(599\) −24.3041 + 14.0320i −0.993037 + 0.573330i −0.906181 0.422891i \(-0.861015\pi\)
−0.0868565 + 0.996221i \(0.527682\pi\)
\(600\) −18.3884 6.52319i −0.750701 0.266308i
\(601\) 29.9548i 1.22188i −0.791676 0.610941i \(-0.790791\pi\)
0.791676 0.610941i \(-0.209209\pi\)
\(602\) 35.4892 + 9.34707i 1.44643 + 0.380958i
\(603\) 1.92192 0.735301i 0.0782667 0.0299438i
\(604\) 3.16905 5.48896i 0.128947 0.223343i
\(605\) 0.0450994 + 0.0781145i 0.00183355 + 0.00317581i
\(606\) 8.92906 7.61754i 0.362718 0.309441i
\(607\) −37.7283 21.7824i −1.53134 0.884122i −0.999300 0.0374048i \(-0.988091\pi\)
−0.532044 0.846717i \(-0.678576\pi\)
\(608\) −2.60249 −0.105545
\(609\) 8.09510 11.8726i 0.328030 0.481104i
\(610\) −14.3115 −0.579455
\(611\) 2.33554 + 1.34842i 0.0944857 + 0.0545514i
\(612\) 9.16112 + 7.43545i 0.370316 + 0.300560i
\(613\) 7.60454 + 13.1714i 0.307144 + 0.531990i 0.977736 0.209837i \(-0.0672932\pi\)
−0.670592 + 0.741826i \(0.733960\pi\)
\(614\) 8.75827 15.1698i 0.353455 0.612202i
\(615\) 11.6933 2.16048i 0.471518 0.0871190i
\(616\) 19.2505 + 19.0868i 0.775626 + 0.769030i
\(617\) 13.7286i 0.552692i 0.961058 + 0.276346i \(0.0891236\pi\)
−0.961058 + 0.276346i \(0.910876\pi\)
\(618\) 0.335551 0.945891i 0.0134978 0.0380493i
\(619\) 31.9696 18.4576i 1.28497 0.741875i 0.307213 0.951641i \(-0.400603\pi\)
0.977752 + 0.209766i \(0.0672701\pi\)
\(620\) 4.29531 2.47990i 0.172504 0.0995952i
\(621\) 38.5085 0.943982i 1.54529 0.0378807i
\(622\) 36.7169i 1.47221i
\(623\) 1.47354 5.59476i 0.0590360 0.224149i
\(624\) −0.663687 3.59210i −0.0265687 0.143799i
\(625\) −3.34295 + 5.79017i −0.133718 + 0.231607i
\(626\) 0.936452 + 1.62198i 0.0374281 + 0.0648274i
\(627\) 2.59485 + 3.04161i 0.103628 + 0.121470i
\(628\) 6.62390 + 3.82431i 0.264322 + 0.152607i
\(629\) −56.0366 −2.23432
\(630\) −6.18546 8.45729i −0.246434 0.336947i
\(631\) 9.47126 0.377045 0.188523 0.982069i \(-0.439630\pi\)
0.188523 + 0.982069i \(0.439630\pi\)
\(632\) 28.9315 + 16.7036i 1.15083 + 0.664433i
\(633\) −20.5687 24.1100i −0.817532 0.958288i
\(634\) −10.9312 18.9334i −0.434133 0.751940i
\(635\) −5.19808 + 9.00334i −0.206280 + 0.357287i
\(636\) −2.49722 13.5158i −0.0990211 0.535936i
\(637\) −3.55164 6.03207i −0.140721 0.238999i
\(638\) 11.8985i 0.471065i
\(639\) −2.87047 0.457917i −0.113554 0.0181149i
\(640\) −2.18691 + 1.26262i −0.0864454 + 0.0499093i
\(641\) −15.5481 + 8.97668i −0.614112 + 0.354557i −0.774573 0.632485i \(-0.782035\pi\)
0.160461 + 0.987042i \(0.448702\pi\)
\(642\) 1.23153 3.47159i 0.0486047 0.137013i
\(643\) 16.1616i 0.637350i 0.947864 + 0.318675i \(0.103238\pi\)
−0.947864 + 0.318675i \(0.896762\pi\)
\(644\) −3.61155 13.2519i −0.142315 0.522197i
\(645\) −23.9960 + 4.43358i −0.944843 + 0.174572i
\(646\) −2.22020 + 3.84549i −0.0873524 + 0.151299i
\(647\) 11.7745 + 20.3941i 0.462904 + 0.801773i 0.999104 0.0423177i \(-0.0134742\pi\)
−0.536200 + 0.844091i \(0.680141\pi\)
\(648\) 8.62037 26.3310i 0.338640 1.03438i
\(649\) 16.0070 + 9.24164i 0.628329 + 0.362766i
\(650\) −4.17167 −0.163627
\(651\) −27.9510 2.09539i −1.09548 0.0821249i
\(652\) −1.86702 −0.0731180
\(653\) 1.05254 + 0.607686i 0.0411892 + 0.0237806i 0.520453 0.853890i \(-0.325763\pi\)
−0.479264 + 0.877671i \(0.659096\pi\)
\(654\) 19.0736 16.2720i 0.745836 0.636286i
\(655\) −3.68118 6.37599i −0.143836 0.249131i
\(656\) −6.25218 + 10.8291i −0.244107 + 0.422805i
\(657\) 1.30097 + 3.40047i 0.0507558 + 0.132665i
\(658\) −5.72731 + 5.77643i −0.223274 + 0.225189i
\(659\) 24.3604i 0.948948i 0.880270 + 0.474474i \(0.157362\pi\)
−0.880270 + 0.474474i \(0.842638\pi\)
\(660\) −4.40565 1.56289i −0.171490 0.0608352i
\(661\) −39.1761 + 22.6183i −1.52377 + 0.879751i −0.524169 + 0.851614i \(0.675624\pi\)
−0.999604 + 0.0281362i \(0.991043\pi\)
\(662\) 2.61732 1.51111i 0.101725 0.0587310i
\(663\) 9.16766 + 3.25219i 0.356042 + 0.126304i
\(664\) 35.9025i 1.39329i
\(665\) −1.49594 + 1.50877i −0.0580099 + 0.0585074i
\(666\) 12.1940 + 31.8725i 0.472507 + 1.23503i
\(667\) 11.6229 20.1315i 0.450042 0.779495i
\(668\) −1.52151 2.63533i −0.0588690 0.101964i
\(669\) 14.5615 12.4227i 0.562980 0.480288i
\(670\) −0.784170 0.452741i −0.0302951 0.0174909i
\(671\) 36.0837 1.39299
\(672\) −17.1483 1.28555i −0.661509 0.0495912i
\(673\) −15.6186 −0.602051 −0.301025 0.953616i \(-0.597329\pi\)
−0.301025 + 0.953616i \(0.597329\pi\)
\(674\) −29.5217 17.0443i −1.13713 0.656524i
\(675\) −16.6945 9.10053i −0.642571 0.350280i
\(676\) 0.350147 + 0.606472i 0.0134672 + 0.0233258i
\(677\) 17.3645 30.0762i 0.667373 1.15592i −0.311263 0.950324i \(-0.600752\pi\)
0.978636 0.205600i \(-0.0659145\pi\)
\(678\) 21.6113 3.99297i 0.829978 0.153349i
\(679\) −7.36166 27.0122i −0.282515 1.03663i
\(680\) 20.0194i 0.767708i
\(681\) 12.2828 34.6242i 0.470677 1.32680i
\(682\) 20.0995 11.6045i 0.769651 0.444358i
\(683\) 35.7178 20.6217i 1.36671 0.789068i 0.376200 0.926539i \(-0.377231\pi\)
0.990506 + 0.137471i \(0.0438973\pi\)
\(684\) −1.43882 0.229530i −0.0550146 0.00877630i
\(685\) 2.34221i 0.0894913i
\(686\) 20.3228 5.72550i 0.775930 0.218601i
\(687\) 0.141612 + 0.766454i 0.00540284 + 0.0292420i
\(688\) 12.8303 22.2227i 0.489149 0.847231i
\(689\) −5.66579 9.81343i −0.215849 0.373862i
\(690\) −11.0009 12.8950i −0.418798 0.490903i
\(691\) −1.68394 0.972223i −0.0640601 0.0369851i 0.467628 0.883925i \(-0.345109\pi\)
−0.531688 + 0.846940i \(0.678442\pi\)
\(692\) 0.0661146 0.00251330
\(693\) 15.5954 + 21.3234i 0.592422 + 0.810011i
\(694\) −3.54678 −0.134634
\(695\) −8.18264 4.72425i −0.310385 0.179201i
\(696\) −10.8516 12.7200i −0.411330 0.482150i
\(697\) −16.6491 28.8371i −0.630631 1.09228i
\(698\) −3.62632 + 6.28098i −0.137258 + 0.237739i
\(699\) 4.08271 + 22.0970i 0.154422 + 0.835787i
\(700\) −1.72676 + 6.55622i −0.0652654 + 0.247802i
\(701\) 8.15085i 0.307853i −0.988082 0.153927i \(-0.950808\pi\)
0.988082 0.153927i \(-0.0491920\pi\)
\(702\) −0.145171 5.92208i −0.00547914 0.223514i
\(703\) 5.99276 3.45992i 0.226021 0.130493i
\(704\) 24.4894 14.1390i 0.922980 0.532883i
\(705\) 1.80832 5.09750i 0.0681051 0.191983i
\(706\) 20.4988i 0.771481i
\(707\) −11.1674 11.0724i −0.419992 0.416421i
\(708\) −6.62372 + 1.22382i −0.248935 + 0.0459939i
\(709\) −10.3034 + 17.8461i −0.386953 + 0.670223i −0.992038 0.125938i \(-0.959806\pi\)
0.605085 + 0.796161i \(0.293139\pi\)
\(710\) 0.639530 + 1.10770i 0.0240011 + 0.0415712i
\(711\) 25.2777 + 20.5162i 0.947989 + 0.769416i
\(712\) −5.82989 3.36589i −0.218484 0.126142i
\(713\) −45.3429 −1.69811
\(714\) −16.5288 + 24.2419i −0.618575 + 0.907231i
\(715\) −3.85397 −0.144130
\(716\) 11.4397 + 6.60473i 0.427523 + 0.246830i
\(717\) 23.2557 19.8398i 0.868499 0.740932i
\(718\) 6.22206 + 10.7769i 0.232205 + 0.402191i
\(719\) 6.89752 11.9469i 0.257234 0.445543i −0.708266 0.705946i \(-0.750522\pi\)
0.965500 + 0.260403i \(0.0838555\pi\)
\(720\) −6.84251 + 2.61785i −0.255005 + 0.0975615i
\(721\) −1.30042 0.342501i −0.0484300 0.0127554i
\(722\) 21.1126i 0.785728i
\(723\) 31.3007 + 11.1038i 1.16409 + 0.412955i
\(724\) 2.46023 1.42042i 0.0914338 0.0527893i
\(725\) −9.93707 + 5.73717i −0.369054 + 0.213073i
\(726\) −0.144966 0.0514259i −0.00538018 0.00190860i
\(727\) 12.0151i 0.445614i −0.974863 0.222807i \(-0.928478\pi\)
0.974863 0.222807i \(-0.0715220\pi\)
\(728\) −7.85824 + 2.14162i −0.291246 + 0.0793735i
\(729\) 12.3381 24.0161i 0.456966 0.889484i
\(730\) 0.801038 1.38744i 0.0296477 0.0513514i
\(731\) 34.1661 + 59.1774i 1.26368 + 2.18876i
\(732\) −10.0040 + 8.53461i −0.369760 + 0.315448i
\(733\) 20.2559 + 11.6948i 0.748169 + 0.431956i 0.825032 0.565086i \(-0.191157\pi\)
−0.0768629 + 0.997042i \(0.524490\pi\)
\(734\) −2.69178 −0.0993554
\(735\) −10.6023 + 9.20258i −0.391071 + 0.339442i
\(736\) −27.8185 −1.02540
\(737\) 1.97714 + 1.14150i 0.0728288 + 0.0420477i
\(738\) −12.7790 + 15.7449i −0.470402 + 0.579576i
\(739\) 1.41970 + 2.45899i 0.0522244 + 0.0904553i 0.890956 0.454090i \(-0.150036\pi\)
−0.838731 + 0.544545i \(0.816702\pi\)
\(740\) −4.04543 + 7.00689i −0.148713 + 0.257578i
\(741\) −1.18123 + 0.218247i −0.0433934 + 0.00801749i
\(742\) 32.9765 8.98712i 1.21060 0.329928i
\(743\) 31.2604i 1.14683i 0.819265 + 0.573416i \(0.194382\pi\)
−0.819265 + 0.573416i \(0.805618\pi\)
\(744\) −10.9038 + 30.7368i −0.399751 + 1.12687i
\(745\) 2.11079 1.21866i 0.0773333 0.0446484i
\(746\) −22.6447 + 13.0739i −0.829083 + 0.478671i
\(747\) −5.51174 + 34.5506i −0.201664 + 1.26414i
\(748\) 13.0902i 0.478625i
\(749\) −4.77276 1.25704i −0.174393 0.0459312i
\(750\) 3.59722 + 19.4694i 0.131352 + 0.710922i
\(751\) −2.60689 + 4.51527i −0.0951268 + 0.164764i −0.909662 0.415350i \(-0.863659\pi\)
0.814535 + 0.580115i \(0.196992\pi\)
\(752\) 2.84383 + 4.92565i 0.103704 + 0.179620i
\(753\) −6.62983 7.77130i −0.241604 0.283202i
\(754\) −3.09595 1.78745i −0.112748 0.0650949i
\(755\) −10.4799 −0.381404
\(756\) −9.36725 2.22315i −0.340683 0.0808550i
\(757\) −36.3568 −1.32141 −0.660705 0.750646i \(-0.729742\pi\)
−0.660705 + 0.750646i \(0.729742\pi\)
\(758\) −10.4238 6.01820i −0.378610 0.218591i
\(759\) 27.7368 + 32.5122i 1.00678 + 1.18012i
\(760\) 1.23608 + 2.14095i 0.0448372 + 0.0776603i
\(761\) −4.11661 + 7.13018i −0.149227 + 0.258469i −0.930942 0.365167i \(-0.881012\pi\)
0.781715 + 0.623636i \(0.214345\pi\)
\(762\) −3.22109 17.4336i −0.116688 0.631553i
\(763\) −23.8549 23.6520i −0.863606 0.856262i
\(764\) 11.2455i 0.406848i
\(765\) 3.07337 19.2655i 0.111118 0.696547i
\(766\) −19.5146 + 11.2668i −0.705091 + 0.407085i
\(767\) −4.80929 + 2.77665i −0.173653 + 0.100259i
\(768\) −8.40010 + 23.6792i −0.303113 + 0.854451i
\(769\) 2.60147i 0.0938112i 0.998899 + 0.0469056i \(0.0149360\pi\)
−0.998899 + 0.0469056i \(0.985064\pi\)
\(770\) 2.96071 11.2413i 0.106697 0.405108i
\(771\) 19.2860 3.56335i 0.694570 0.128331i
\(772\) 5.14214 8.90645i 0.185070 0.320550i
\(773\) −18.3748 31.8261i −0.660896 1.14471i −0.980381 0.197114i \(-0.936843\pi\)
0.319485 0.947591i \(-0.396490\pi\)
\(774\) 26.2241 32.3104i 0.942606 1.16137i
\(775\) 19.3831 + 11.1908i 0.696260 + 0.401986i