Properties

Label 731.2.n.a.208.5
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.5
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.60

$q$-expansion

\(f(q)\) \(=\) \(q-2.53263i q^{2} +(-2.42847 - 0.650707i) q^{3} -4.41419 q^{4} +(-2.11001 - 0.565376i) q^{5} +(-1.64800 + 6.15041i) q^{6} +(-4.08395 + 1.09429i) q^{7} +6.11424i q^{8} +(2.87598 + 1.66045i) q^{9} +O(q^{10})\) \(q-2.53263i q^{2} +(-2.42847 - 0.650707i) q^{3} -4.41419 q^{4} +(-2.11001 - 0.565376i) q^{5} +(-1.64800 + 6.15041i) q^{6} +(-4.08395 + 1.09429i) q^{7} +6.11424i q^{8} +(2.87598 + 1.66045i) q^{9} +(-1.43189 + 5.34387i) q^{10} +(-1.07177 - 1.07177i) q^{11} +(10.7197 + 2.87235i) q^{12} +(1.97616 - 3.42281i) q^{13} +(2.77143 + 10.3431i) q^{14} +(4.75622 + 2.74600i) q^{15} +6.65669 q^{16} +(-3.54610 - 2.10361i) q^{17} +(4.20530 - 7.28379i) q^{18} +(-3.99000 + 2.30363i) q^{19} +(9.31400 + 2.49568i) q^{20} +10.6298 q^{21} +(-2.71440 + 2.71440i) q^{22} +(0.742606 - 2.77144i) q^{23} +(3.97858 - 14.8483i) q^{24} +(-0.197621 - 0.114097i) q^{25} +(-8.66870 - 5.00487i) q^{26} +(-0.570486 - 0.570486i) q^{27} +(18.0273 - 4.83041i) q^{28} +(-2.45006 - 9.14374i) q^{29} +(6.95459 - 12.0457i) q^{30} +(-8.63854 - 2.31469i) q^{31} -4.63043i q^{32} +(1.90536 + 3.30018i) q^{33} +(-5.32767 + 8.98093i) q^{34} +9.23587 q^{35} +(-12.6951 - 7.32954i) q^{36} +(7.30442 + 1.95721i) q^{37} +(5.83422 + 10.1052i) q^{38} +(-7.02630 + 7.02630i) q^{39} +(3.45684 - 12.9011i) q^{40} +(-1.37910 - 1.37910i) q^{41} -26.9214i q^{42} +(1.01850 + 6.47786i) q^{43} +(4.73101 + 4.73101i) q^{44} +(-5.12959 - 5.12959i) q^{45} +(-7.01902 - 1.88074i) q^{46} +6.20009 q^{47} +(-16.1656 - 4.33156i) q^{48} +(9.41899 - 5.43806i) q^{49} +(-0.288964 + 0.500500i) q^{50} +(7.24276 + 7.41604i) q^{51} +(-8.72315 + 15.1089i) q^{52} +(2.85752 - 1.64979i) q^{53} +(-1.44483 + 1.44483i) q^{54} +(1.65550 + 2.86741i) q^{55} +(-6.69075 - 24.9702i) q^{56} +(11.1886 - 2.99797i) q^{57} +(-23.1577 + 6.20508i) q^{58} -7.71656i q^{59} +(-20.9948 - 12.1214i) q^{60} +(-9.32791 + 2.49941i) q^{61} +(-5.86224 + 21.8782i) q^{62} +(-13.5624 - 3.63403i) q^{63} +1.58625 q^{64} +(-6.10490 + 6.10490i) q^{65} +(8.35812 - 4.82556i) q^{66} +(-1.61706 - 2.80082i) q^{67} +(15.6531 + 9.28575i) q^{68} +(-3.60680 + 6.24715i) q^{69} -23.3910i q^{70} +(3.20997 + 11.9798i) q^{71} +(-10.1524 + 17.5844i) q^{72} +(-2.08022 - 7.76348i) q^{73} +(4.95689 - 18.4994i) q^{74} +(0.405674 + 0.405674i) q^{75} +(17.6126 - 10.1686i) q^{76} +(5.54990 + 3.20423i) q^{77} +(17.7950 + 17.7950i) q^{78} +(2.01902 - 0.540996i) q^{79} +(-14.0457 - 3.76354i) q^{80} +(-3.96716 - 6.87132i) q^{81} +(-3.49274 + 3.49274i) q^{82} +(10.4541 - 6.03566i) q^{83} -46.9221 q^{84} +(6.29298 + 6.44353i) q^{85} +(16.4060 - 2.57948i) q^{86} +23.7996i q^{87} +(6.55307 - 6.55307i) q^{88} +(-2.46611 - 4.27142i) q^{89} +(-12.9913 + 12.9913i) q^{90} +(-4.32499 + 16.1411i) q^{91} +(-3.27800 + 12.2337i) q^{92} +(19.4723 + 11.2423i) q^{93} -15.7025i q^{94} +(9.72137 - 2.60483i) q^{95} +(-3.01305 + 11.2449i) q^{96} +(-1.89789 + 1.89789i) q^{97} +(-13.7726 - 23.8548i) q^{98} +(-1.30278 - 4.86203i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.53263i 1.79084i −0.445226 0.895418i \(-0.646877\pi\)
0.445226 0.895418i \(-0.353123\pi\)
\(3\) −2.42847 0.650707i −1.40208 0.375686i −0.522988 0.852340i \(-0.675183\pi\)
−0.879091 + 0.476654i \(0.841850\pi\)
\(4\) −4.41419 −2.20709
\(5\) −2.11001 0.565376i −0.943627 0.252844i −0.245971 0.969277i \(-0.579107\pi\)
−0.697656 + 0.716433i \(0.745773\pi\)
\(6\) −1.64800 + 6.15041i −0.672792 + 2.51089i
\(7\) −4.08395 + 1.09429i −1.54359 + 0.413603i −0.927423 0.374014i \(-0.877981\pi\)
−0.616165 + 0.787617i \(0.711315\pi\)
\(8\) 6.11424i 2.16171i
\(9\) 2.87598 + 1.66045i 0.958661 + 0.553483i
\(10\) −1.43189 + 5.34387i −0.452802 + 1.68988i
\(11\) −1.07177 1.07177i −0.323152 0.323152i 0.526823 0.849975i \(-0.323383\pi\)
−0.849975 + 0.526823i \(0.823383\pi\)
\(12\) 10.7197 + 2.87235i 3.09452 + 0.829175i
\(13\) 1.97616 3.42281i 0.548088 0.949317i −0.450317 0.892869i \(-0.648689\pi\)
0.998406 0.0564483i \(-0.0179776\pi\)
\(14\) 2.77143 + 10.3431i 0.740696 + 2.76431i
\(15\) 4.75622 + 2.74600i 1.22805 + 0.709015i
\(16\) 6.65669 1.66417
\(17\) −3.54610 2.10361i −0.860055 0.510202i
\(18\) 4.20530 7.28379i 0.991198 1.71681i
\(19\) −3.99000 + 2.30363i −0.915369 + 0.528488i −0.882155 0.470960i \(-0.843908\pi\)
−0.0332140 + 0.999448i \(0.510574\pi\)
\(20\) 9.31400 + 2.49568i 2.08267 + 0.558051i
\(21\) 10.6298 2.31962
\(22\) −2.71440 + 2.71440i −0.578712 + 0.578712i
\(23\) 0.742606 2.77144i 0.154844 0.577886i −0.844275 0.535911i \(-0.819968\pi\)
0.999119 0.0419750i \(-0.0133650\pi\)
\(24\) 3.97858 14.8483i 0.812124 3.03089i
\(25\) −0.197621 0.114097i −0.0395242 0.0228193i
\(26\) −8.66870 5.00487i −1.70007 0.981537i
\(27\) −0.570486 0.570486i −0.109790 0.109790i
\(28\) 18.0273 4.83041i 3.40684 0.912861i
\(29\) −2.45006 9.14374i −0.454964 1.69795i −0.688192 0.725528i \(-0.741596\pi\)
0.233228 0.972422i \(-0.425071\pi\)
\(30\) 6.95459 12.0457i 1.26973 2.19924i
\(31\) −8.63854 2.31469i −1.55153 0.415731i −0.621559 0.783368i \(-0.713500\pi\)
−0.929969 + 0.367637i \(0.880167\pi\)
\(32\) 4.63043i 0.818551i
\(33\) 1.90536 + 3.30018i 0.331681 + 0.574488i
\(34\) −5.32767 + 8.98093i −0.913687 + 1.54022i
\(35\) 9.23587 1.56115
\(36\) −12.6951 7.32954i −2.11586 1.22159i
\(37\) 7.30442 + 1.95721i 1.20084 + 0.321764i 0.803162 0.595761i \(-0.203149\pi\)
0.397678 + 0.917525i \(0.369816\pi\)
\(38\) 5.83422 + 10.1052i 0.946436 + 1.63928i
\(39\) −7.02630 + 7.02630i −1.12511 + 1.12511i
\(40\) 3.45684 12.9011i 0.546575 2.03985i
\(41\) −1.37910 1.37910i −0.215379 0.215379i 0.591169 0.806548i \(-0.298667\pi\)
−0.806548 + 0.591169i \(0.798667\pi\)
\(42\) 26.9214i 4.15406i
\(43\) 1.01850 + 6.47786i 0.155320 + 0.987864i
\(44\) 4.73101 + 4.73101i 0.713226 + 0.713226i
\(45\) −5.12959 5.12959i −0.764673 0.764673i
\(46\) −7.01902 1.88074i −1.03490 0.277300i
\(47\) 6.20009 0.904376 0.452188 0.891923i \(-0.350644\pi\)
0.452188 + 0.891923i \(0.350644\pi\)
\(48\) −16.1656 4.33156i −2.33330 0.625206i
\(49\) 9.41899 5.43806i 1.34557 0.776866i
\(50\) −0.288964 + 0.500500i −0.0408657 + 0.0707814i
\(51\) 7.24276 + 7.41604i 1.01419 + 1.03845i
\(52\) −8.72315 + 15.1089i −1.20968 + 2.09523i
\(53\) 2.85752 1.64979i 0.392510 0.226616i −0.290737 0.956803i \(-0.593900\pi\)
0.683247 + 0.730187i \(0.260567\pi\)
\(54\) −1.44483 + 1.44483i −0.196616 + 0.196616i
\(55\) 1.65550 + 2.86741i 0.223228 + 0.386641i
\(56\) −6.69075 24.9702i −0.894090 3.33679i
\(57\) 11.1886 2.99797i 1.48197 0.397091i
\(58\) −23.1577 + 6.20508i −3.04075 + 0.814767i
\(59\) 7.71656i 1.00461i −0.864690 0.502305i \(-0.832485\pi\)
0.864690 0.502305i \(-0.167515\pi\)
\(60\) −20.9948 12.1214i −2.71042 1.56486i
\(61\) −9.32791 + 2.49941i −1.19432 + 0.320016i −0.800591 0.599212i \(-0.795481\pi\)
−0.393726 + 0.919228i \(0.628814\pi\)
\(62\) −5.86224 + 21.8782i −0.744506 + 2.77853i
\(63\) −13.5624 3.63403i −1.70870 0.457845i
\(64\) 1.58625 0.198281
\(65\) −6.10490 + 6.10490i −0.757220 + 0.757220i
\(66\) 8.35812 4.82556i 1.02881 0.593986i
\(67\) −1.61706 2.80082i −0.197555 0.342175i 0.750180 0.661233i \(-0.229967\pi\)
−0.947735 + 0.319058i \(0.896633\pi\)
\(68\) 15.6531 + 9.28575i 1.89822 + 1.12606i
\(69\) −3.60680 + 6.24715i −0.434207 + 0.752069i
\(70\) 23.3910i 2.79576i
\(71\) 3.20997 + 11.9798i 0.380953 + 1.42174i 0.844449 + 0.535637i \(0.179928\pi\)
−0.463496 + 0.886099i \(0.653405\pi\)
\(72\) −10.1524 + 17.5844i −1.19647 + 2.07235i
\(73\) −2.08022 7.76348i −0.243471 0.908647i −0.974146 0.225921i \(-0.927461\pi\)
0.730675 0.682726i \(-0.239206\pi\)
\(74\) 4.95689 18.4994i 0.576227 2.15051i
\(75\) 0.405674 + 0.405674i 0.0468432 + 0.0468432i
\(76\) 17.6126 10.1686i 2.02031 1.16642i
\(77\) 5.54990 + 3.20423i 0.632469 + 0.365156i
\(78\) 17.7950 + 17.7950i 2.01489 + 2.01489i
\(79\) 2.01902 0.540996i 0.227158 0.0608668i −0.143445 0.989658i \(-0.545818\pi\)
0.370602 + 0.928792i \(0.379151\pi\)
\(80\) −14.0457 3.76354i −1.57036 0.420776i
\(81\) −3.96716 6.87132i −0.440796 0.763480i
\(82\) −3.49274 + 3.49274i −0.385708 + 0.385708i
\(83\) 10.4541 6.03566i 1.14748 0.662500i 0.199211 0.979957i \(-0.436162\pi\)
0.948273 + 0.317456i \(0.102829\pi\)
\(84\) −46.9221 −5.11962
\(85\) 6.29298 + 6.44353i 0.682569 + 0.698899i
\(86\) 16.4060 2.57948i 1.76910 0.278153i
\(87\) 23.7996i 2.55159i
\(88\) 6.55307 6.55307i 0.698560 0.698560i
\(89\) −2.46611 4.27142i −0.261407 0.452770i 0.705209 0.708999i \(-0.250853\pi\)
−0.966616 + 0.256229i \(0.917520\pi\)
\(90\) −12.9913 + 12.9913i −1.36941 + 1.36941i
\(91\) −4.32499 + 16.1411i −0.453382 + 1.69205i
\(92\) −3.27800 + 12.2337i −0.341755 + 1.27545i
\(93\) 19.4723 + 11.2423i 2.01918 + 1.16578i
\(94\) 15.7025i 1.61959i
\(95\) 9.72137 2.60483i 0.997391 0.267250i
\(96\) −3.01305 + 11.2449i −0.307518 + 1.14767i
\(97\) −1.89789 + 1.89789i −0.192701 + 0.192701i −0.796862 0.604161i \(-0.793508\pi\)
0.604161 + 0.796862i \(0.293508\pi\)
\(98\) −13.7726 23.8548i −1.39124 2.40970i
\(99\) −1.30278 4.86203i −0.130934 0.488652i
\(100\) 0.872337 + 0.503644i 0.0872337 + 0.0503644i
\(101\) −9.02547 + 15.6326i −0.898068 + 1.55550i −0.0681077 + 0.997678i \(0.521696\pi\)
−0.829961 + 0.557822i \(0.811637\pi\)
\(102\) 18.7821 18.3432i 1.85970 1.81625i
\(103\) 3.52598 6.10717i 0.347425 0.601757i −0.638366 0.769733i \(-0.720390\pi\)
0.985791 + 0.167975i \(0.0537229\pi\)
\(104\) 20.9279 + 12.0827i 2.05215 + 1.18481i
\(105\) −22.4291 6.00985i −2.18885 0.586501i
\(106\) −4.17830 7.23702i −0.405832 0.702922i
\(107\) −8.13721 + 8.13721i −0.786654 + 0.786654i −0.980944 0.194290i \(-0.937760\pi\)
0.194290 + 0.980944i \(0.437760\pi\)
\(108\) 2.51823 + 2.51823i 0.242317 + 0.242317i
\(109\) 1.74745 6.52159i 0.167376 0.624655i −0.830349 0.557243i \(-0.811859\pi\)
0.997725 0.0674119i \(-0.0214742\pi\)
\(110\) 7.26207 4.19276i 0.692411 0.399764i
\(111\) −16.4650 9.50609i −1.56279 0.902278i
\(112\) −27.1856 + 7.28436i −2.56880 + 0.688307i
\(113\) 4.33446 + 4.33446i 0.407752 + 0.407752i 0.880954 0.473202i \(-0.156902\pi\)
−0.473202 + 0.880954i \(0.656902\pi\)
\(114\) −7.59274 28.3365i −0.711126 2.65396i
\(115\) −3.13382 + 5.42793i −0.292230 + 0.506157i
\(116\) 10.8150 + 40.3622i 1.00415 + 3.74754i
\(117\) 11.3668 6.56263i 1.05086 0.606716i
\(118\) −19.5432 −1.79909
\(119\) 16.7840 + 4.71059i 1.53859 + 0.431820i
\(120\) −16.7897 + 29.0806i −1.53268 + 2.65469i
\(121\) 8.70261i 0.791146i
\(122\) 6.33006 + 23.6241i 0.573096 + 2.13883i
\(123\) 2.45171 + 4.24649i 0.221063 + 0.382893i
\(124\) 38.1322 + 10.2175i 3.42437 + 0.917557i
\(125\) 8.07566 + 8.07566i 0.722309 + 0.722309i
\(126\) −9.20364 + 34.3485i −0.819925 + 3.06000i
\(127\) 5.57885i 0.495043i 0.968882 + 0.247522i \(0.0796161\pi\)
−0.968882 + 0.247522i \(0.920384\pi\)
\(128\) 13.2782i 1.17364i
\(129\) 1.74179 16.3941i 0.153356 1.44342i
\(130\) 15.4614 + 15.4614i 1.35606 + 1.35606i
\(131\) −1.32868 + 1.32868i −0.116088 + 0.116088i −0.762764 0.646677i \(-0.776158\pi\)
0.646677 + 0.762764i \(0.276158\pi\)
\(132\) −8.41062 14.5676i −0.732051 1.26795i
\(133\) 13.7741 13.7741i 1.19437 1.19437i
\(134\) −7.09344 + 4.09540i −0.612779 + 0.353788i
\(135\) 0.881193 + 1.52627i 0.0758411 + 0.131361i
\(136\) 12.8620 21.6817i 1.10291 1.85919i
\(137\) −5.92047 −0.505820 −0.252910 0.967490i \(-0.581388\pi\)
−0.252910 + 0.967490i \(0.581388\pi\)
\(138\) 15.8217 + 9.13466i 1.34683 + 0.777594i
\(139\) −2.53396 0.678972i −0.214928 0.0575897i 0.149748 0.988724i \(-0.452154\pi\)
−0.364676 + 0.931134i \(0.618820\pi\)
\(140\) −40.7689 −3.44560
\(141\) −15.0567 4.03444i −1.26801 0.339761i
\(142\) 30.3402 8.12964i 2.54610 0.682224i
\(143\) −5.78647 + 1.55048i −0.483889 + 0.129658i
\(144\) 19.1445 + 11.0531i 1.59538 + 0.921092i
\(145\) 20.6786i 1.71727i
\(146\) −19.6620 + 5.26841i −1.62724 + 0.436017i
\(147\) −26.4124 + 7.07717i −2.17845 + 0.583715i
\(148\) −32.2431 8.63952i −2.65037 0.710164i
\(149\) 5.38678 + 9.33018i 0.441302 + 0.764358i 0.997786 0.0665003i \(-0.0211833\pi\)
−0.556484 + 0.830858i \(0.687850\pi\)
\(150\) 1.02742 1.02742i 0.0838885 0.0838885i
\(151\) 10.2167i 0.831423i −0.909497 0.415711i \(-0.863533\pi\)
0.909497 0.415711i \(-0.136467\pi\)
\(152\) −14.0849 24.3958i −1.14244 1.97876i
\(153\) −6.70557 11.9381i −0.542113 0.965137i
\(154\) 8.11512 14.0558i 0.653935 1.13265i
\(155\) 16.9188 + 9.76806i 1.35895 + 0.784589i
\(156\) 31.0154 31.0154i 2.48322 2.48322i
\(157\) −3.28356 + 5.68730i −0.262057 + 0.453896i −0.966788 0.255578i \(-0.917734\pi\)
0.704731 + 0.709474i \(0.251068\pi\)
\(158\) −1.37014 5.11343i −0.109002 0.406802i
\(159\) −8.01294 + 2.14706i −0.635467 + 0.170273i
\(160\) −2.61793 + 9.77026i −0.206966 + 0.772407i
\(161\) 12.1311i 0.956061i
\(162\) −17.4025 + 10.0473i −1.36727 + 0.789393i
\(163\) −24.2133 + 6.48793i −1.89653 + 0.508174i −0.898998 + 0.437952i \(0.855704\pi\)
−0.997531 + 0.0702218i \(0.977629\pi\)
\(164\) 6.08760 + 6.08760i 0.475361 + 0.475361i
\(165\) −2.15449 8.04067i −0.167727 0.625965i
\(166\) −15.2861 26.4763i −1.18643 2.05496i
\(167\) 0.647017 + 0.173368i 0.0500677 + 0.0134156i 0.283766 0.958894i \(-0.408416\pi\)
−0.233698 + 0.972309i \(0.575083\pi\)
\(168\) 64.9933i 5.01434i
\(169\) −1.31042 2.26972i −0.100802 0.174594i
\(170\) 16.3191 15.9378i 1.25161 1.22237i
\(171\) −15.3002 −1.17004
\(172\) −4.49586 28.5945i −0.342806 2.18031i
\(173\) 10.9118 10.9118i 0.829606 0.829606i −0.157856 0.987462i \(-0.550458\pi\)
0.987462 + 0.157856i \(0.0504582\pi\)
\(174\) 60.2755 4.56947
\(175\) 0.931930 + 0.249710i 0.0704473 + 0.0188763i
\(176\) −7.13446 7.13446i −0.537780 0.537780i
\(177\) −5.02122 + 18.7395i −0.377418 + 1.40854i
\(178\) −10.8179 + 6.24573i −0.810837 + 0.468137i
\(179\) 9.75254 + 5.63063i 0.728939 + 0.420853i 0.818034 0.575170i \(-0.195064\pi\)
−0.0890950 + 0.996023i \(0.528397\pi\)
\(180\) 22.6430 + 22.6430i 1.68771 + 1.68771i
\(181\) −3.48504 + 0.933814i −0.259041 + 0.0694099i −0.386002 0.922498i \(-0.626144\pi\)
0.126961 + 0.991908i \(0.459478\pi\)
\(182\) 40.8793 + 10.9536i 3.03018 + 0.811933i
\(183\) 24.2790 1.79475
\(184\) 16.9453 + 4.54047i 1.24922 + 0.334728i
\(185\) −14.3059 8.25950i −1.05179 0.607250i
\(186\) 28.4726 49.3160i 2.08771 3.61602i
\(187\) 1.54601 + 6.05521i 0.113056 + 0.442801i
\(188\) −27.3684 −1.99604
\(189\) 2.95411 + 1.70556i 0.214880 + 0.124061i
\(190\) −6.59706 24.6206i −0.478601 1.78616i
\(191\) −2.48955 4.31202i −0.180137 0.312007i 0.761790 0.647824i \(-0.224321\pi\)
−0.941927 + 0.335817i \(0.890988\pi\)
\(192\) −3.85216 1.03218i −0.278006 0.0744914i
\(193\) −6.65096 6.65096i −0.478747 0.478747i 0.425984 0.904731i \(-0.359928\pi\)
−0.904731 + 0.425984i \(0.859928\pi\)
\(194\) 4.80664 + 4.80664i 0.345096 + 0.345096i
\(195\) 18.7981 10.8531i 1.34616 0.777206i
\(196\) −41.5772 + 24.0046i −2.96980 + 1.71462i
\(197\) 11.4254 3.06143i 0.814027 0.218118i 0.172294 0.985046i \(-0.444882\pi\)
0.641734 + 0.766928i \(0.278215\pi\)
\(198\) −12.3137 + 3.29944i −0.875096 + 0.234481i
\(199\) −7.84300 + 7.84300i −0.555975 + 0.555975i −0.928159 0.372184i \(-0.878609\pi\)
0.372184 + 0.928159i \(0.378609\pi\)
\(200\) 0.697614 1.20830i 0.0493287 0.0854399i
\(201\) 2.10446 + 7.85395i 0.148437 + 0.553975i
\(202\) 39.5915 + 22.8581i 2.78565 + 1.60829i
\(203\) 20.0118 + 34.6615i 1.40456 + 2.43276i
\(204\) −31.9709 32.7358i −2.23841 2.29197i
\(205\) 2.13020 + 3.68962i 0.148780 + 0.257694i
\(206\) −15.4672 8.92998i −1.07765 0.622181i
\(207\) 6.73757 6.73757i 0.468293 0.468293i
\(208\) 13.1547 22.7846i 0.912114 1.57983i
\(209\) 6.74534 + 1.80741i 0.466585 + 0.125021i
\(210\) −15.2207 + 56.8044i −1.05033 + 3.91988i
\(211\) 1.30654 + 1.30654i 0.0899460 + 0.0899460i 0.750648 0.660702i \(-0.229741\pi\)
−0.660702 + 0.750648i \(0.729741\pi\)
\(212\) −12.6136 + 7.28248i −0.866308 + 0.500163i
\(213\) 31.1813i 2.13651i
\(214\) 20.6085 + 20.6085i 1.40877 + 1.40877i
\(215\) 1.51338 14.2442i 0.103211 0.971447i
\(216\) 3.48809 3.48809i 0.237334 0.237334i
\(217\) 37.8123 2.56687
\(218\) −16.5167 4.42565i −1.11865 0.299743i
\(219\) 20.2070i 1.36546i
\(220\) −7.30769 12.6573i −0.492684 0.853354i
\(221\) −14.2079 + 7.98054i −0.955729 + 0.536829i
\(222\) −24.0754 + 41.6997i −1.61583 + 2.79870i
\(223\) 22.0642i 1.47753i 0.673965 + 0.738763i \(0.264590\pi\)
−0.673965 + 0.738763i \(0.735410\pi\)
\(224\) 5.06703 + 18.9104i 0.338555 + 1.26351i
\(225\) −0.378903 0.656280i −0.0252602 0.0437520i
\(226\) 10.9776 10.9776i 0.730217 0.730217i
\(227\) 3.34958 12.5008i 0.222319 0.829706i −0.761142 0.648586i \(-0.775361\pi\)
0.983461 0.181121i \(-0.0579725\pi\)
\(228\) −49.3886 + 13.2336i −3.27084 + 0.876418i
\(229\) 0.803956 + 0.464164i 0.0531269 + 0.0306728i 0.526328 0.850281i \(-0.323568\pi\)
−0.473201 + 0.880954i \(0.656902\pi\)
\(230\) 13.7469 + 7.93678i 0.906444 + 0.523336i
\(231\) −11.3928 11.3928i −0.749588 0.749588i
\(232\) 55.9070 14.9802i 3.67047 0.983501i
\(233\) 4.98992 + 18.6227i 0.326901 + 1.22001i 0.912387 + 0.409328i \(0.134237\pi\)
−0.585486 + 0.810682i \(0.699096\pi\)
\(234\) −16.6207 28.7879i −1.08653 1.88192i
\(235\) −13.0823 3.50538i −0.853393 0.228666i
\(236\) 34.0624i 2.21727i
\(237\) −5.25517 −0.341360
\(238\) 11.9302 42.5077i 0.773318 2.75537i
\(239\) −9.05713 15.6874i −0.585857 1.01473i −0.994768 0.102160i \(-0.967425\pi\)
0.408911 0.912574i \(-0.365909\pi\)
\(240\) 31.6607 + 18.2793i 2.04369 + 1.17992i
\(241\) −6.46188 24.1161i −0.416247 1.55345i −0.782326 0.622870i \(-0.785967\pi\)
0.366079 0.930584i \(-0.380700\pi\)
\(242\) −22.0404 −1.41681
\(243\) 5.78936 + 21.6062i 0.371387 + 1.38604i
\(244\) 41.1752 11.0329i 2.63597 0.706306i
\(245\) −22.9488 + 6.14910i −1.46614 + 0.392852i
\(246\) 10.7548 6.20927i 0.685699 0.395888i
\(247\) 18.2094i 1.15863i
\(248\) 14.1526 52.8181i 0.898689 3.35395i
\(249\) −29.3149 + 7.85490i −1.85776 + 0.497784i
\(250\) 20.4526 20.4526i 1.29354 1.29354i
\(251\) −12.8442 + 22.2468i −0.810719 + 1.40421i 0.101643 + 0.994821i \(0.467590\pi\)
−0.912362 + 0.409385i \(0.865743\pi\)
\(252\) 59.8670 + 16.0413i 3.77126 + 1.01051i
\(253\) −3.76626 + 2.17445i −0.236783 + 0.136707i
\(254\) 14.1291 0.886541
\(255\) −11.0895 19.7428i −0.694450 1.23634i
\(256\) −30.4563 −1.90352
\(257\) 15.1313i 0.943864i −0.881635 0.471932i \(-0.843557\pi\)
0.881635 0.471932i \(-0.156443\pi\)
\(258\) −41.5200 4.41129i −2.58492 0.274635i
\(259\) −31.9727 −1.98668
\(260\) 26.9482 26.9482i 1.67126 1.67126i
\(261\) 8.13640 30.3655i 0.503631 1.87957i
\(262\) 3.36506 + 3.36506i 0.207894 + 0.207894i
\(263\) 10.1509 5.86061i 0.625930 0.361381i −0.153244 0.988188i \(-0.548972\pi\)
0.779174 + 0.626808i \(0.215639\pi\)
\(264\) −20.1781 + 11.6498i −1.24188 + 0.716997i
\(265\) −6.96215 + 1.86550i −0.427682 + 0.114597i
\(266\) −34.8847 34.8847i −2.13892 2.13892i
\(267\) 3.20943 + 11.9778i 0.196414 + 0.733026i
\(268\) 7.13799 + 12.3634i 0.436022 + 0.755213i
\(269\) −13.7302 + 13.7302i −0.837147 + 0.837147i −0.988482 0.151335i \(-0.951643\pi\)
0.151335 + 0.988482i \(0.451643\pi\)
\(270\) 3.86547 2.23173i 0.235245 0.135819i
\(271\) −1.37367 + 2.37927i −0.0834446 + 0.144530i −0.904727 0.425991i \(-0.859925\pi\)
0.821283 + 0.570521i \(0.193259\pi\)
\(272\) −23.6053 14.0031i −1.43128 0.849063i
\(273\) 21.0062 36.3839i 1.27136 2.20205i
\(274\) 14.9943i 0.905840i
\(275\) 0.0895193 + 0.334091i 0.00539822 + 0.0201464i
\(276\) 15.9211 27.5761i 0.958337 1.65989i
\(277\) 10.4748 + 2.80671i 0.629369 + 0.168639i 0.559383 0.828909i \(-0.311038\pi\)
0.0699857 + 0.997548i \(0.477705\pi\)
\(278\) −1.71958 + 6.41757i −0.103134 + 0.384900i
\(279\) −21.0009 21.0009i −1.25729 1.25729i
\(280\) 56.4703i 3.37475i
\(281\) 4.05822 2.34301i 0.242093 0.139773i −0.374045 0.927410i \(-0.622030\pi\)
0.616138 + 0.787638i \(0.288696\pi\)
\(282\) −10.2177 + 38.1331i −0.608457 + 2.27079i
\(283\) 17.7211 4.74836i 1.05341 0.282261i 0.309751 0.950818i \(-0.399754\pi\)
0.743661 + 0.668557i \(0.233088\pi\)
\(284\) −14.1694 52.8809i −0.840799 3.13791i
\(285\) −25.3031 −1.49882
\(286\) 3.92678 + 14.6550i 0.232196 + 0.866566i
\(287\) 7.14130 + 4.12303i 0.421538 + 0.243375i
\(288\) 7.68859 13.3170i 0.453055 0.784714i
\(289\) 8.14961 + 14.9192i 0.479389 + 0.877603i
\(290\) 52.3712 3.07534
\(291\) 5.84394 3.37400i 0.342578 0.197787i
\(292\) 9.18248 + 34.2695i 0.537364 + 2.00547i
\(293\) −18.3125 −1.06983 −0.534915 0.844906i \(-0.679656\pi\)
−0.534915 + 0.844906i \(0.679656\pi\)
\(294\) 17.9238 + 66.8926i 1.04534 + 3.90126i
\(295\) −4.36276 + 16.2820i −0.254010 + 0.947977i
\(296\) −11.9669 + 44.6610i −0.695560 + 2.59587i
\(297\) 1.22286i 0.0709577i
\(298\) 23.6298 13.6427i 1.36884 0.790300i
\(299\) −8.01862 8.01862i −0.463729 0.463729i
\(300\) −1.79072 1.79072i −0.103387 0.103387i
\(301\) −11.2482 25.3407i −0.648334 1.46061i
\(302\) −25.8751 −1.48894
\(303\) 32.0904 32.0904i 1.84354 1.84354i
\(304\) −26.5602 + 15.3345i −1.52333 + 0.879496i
\(305\) 21.0951 1.20790
\(306\) −30.2347 + 16.9827i −1.72840 + 0.970836i
\(307\) −14.4269 24.9881i −0.823386 1.42615i −0.903147 0.429332i \(-0.858749\pi\)
0.0797614 0.996814i \(-0.474584\pi\)
\(308\) −24.4983 14.1441i −1.39592 0.805935i
\(309\) −12.5367 + 12.5367i −0.713189 + 0.713189i
\(310\) 24.7388 42.8489i 1.40507 2.43365i
\(311\) −28.9516 7.75757i −1.64170 0.439891i −0.684425 0.729083i \(-0.739947\pi\)
−0.957271 + 0.289192i \(0.906613\pi\)
\(312\) −42.9605 42.9605i −2.43216 2.43216i
\(313\) 2.12766 7.94052i 0.120262 0.448825i −0.879364 0.476149i \(-0.842032\pi\)
0.999627 + 0.0273247i \(0.00869880\pi\)
\(314\) 14.4038 + 8.31604i 0.812853 + 0.469301i
\(315\) 26.5622 + 15.3357i 1.49661 + 0.864069i
\(316\) −8.91235 + 2.38806i −0.501359 + 0.134339i
\(317\) 14.2612 + 14.2612i 0.800987 + 0.800987i 0.983250 0.182263i \(-0.0583421\pi\)
−0.182263 + 0.983250i \(0.558342\pi\)
\(318\) 5.43770 + 20.2938i 0.304931 + 1.13802i
\(319\) −7.17411 + 12.4259i −0.401673 + 0.695718i
\(320\) −3.34700 0.896827i −0.187103 0.0501341i
\(321\) 25.0559 14.4660i 1.39849 0.807416i
\(322\) 30.7234 1.71215
\(323\) 18.9949 + 0.224536i 1.05690 + 0.0124935i
\(324\) 17.5118 + 30.3313i 0.972878 + 1.68507i
\(325\) −0.781062 + 0.450947i −0.0433255 + 0.0250140i
\(326\) 16.4315 + 61.3231i 0.910056 + 3.39637i
\(327\) −8.48729 + 14.7004i −0.469348 + 0.812935i
\(328\) 8.43213 8.43213i 0.465586 0.465586i
\(329\) −25.3209 + 6.78470i −1.39598 + 0.374053i
\(330\) −20.3640 + 5.45652i −1.12100 + 0.300371i
\(331\) −21.8160 12.5955i −1.19912 0.692310i −0.238758 0.971079i \(-0.576740\pi\)
−0.960358 + 0.278769i \(0.910073\pi\)
\(332\) −46.1463 + 26.6426i −2.53261 + 1.46220i
\(333\) 17.7576 + 17.7576i 0.973108 + 0.973108i
\(334\) 0.439075 1.63865i 0.0240251 0.0896630i
\(335\) 1.82849 + 6.82402i 0.0999011 + 0.372836i
\(336\) 70.7594 3.86024
\(337\) −5.52274 20.6111i −0.300843 1.12276i −0.936465 0.350761i \(-0.885923\pi\)
0.635622 0.772000i \(-0.280744\pi\)
\(338\) −5.74835 + 3.31881i −0.312669 + 0.180520i
\(339\) −7.70566 13.3466i −0.418514 0.724888i
\(340\) −27.7784 28.4430i −1.50650 1.54254i
\(341\) 6.77773 + 11.7394i 0.367035 + 0.635723i
\(342\) 38.7498i 2.09535i
\(343\) −11.5883 + 11.5883i −0.625708 + 0.625708i
\(344\) −39.6072 + 6.22736i −2.13548 + 0.335757i
\(345\) 11.1424 11.1424i 0.599886 0.599886i
\(346\) −27.6354 27.6354i −1.48569 1.48569i
\(347\) −2.62132 + 9.78289i −0.140720 + 0.525173i 0.859189 + 0.511658i \(0.170969\pi\)
−0.999909 + 0.0135145i \(0.995698\pi\)
\(348\) 105.056i 5.63159i
\(349\) −21.3265 + 12.3129i −1.14158 + 0.659094i −0.946822 0.321757i \(-0.895727\pi\)
−0.194761 + 0.980851i \(0.562393\pi\)
\(350\) 0.632421 2.36023i 0.0338043 0.126160i
\(351\) −3.08004 + 0.825293i −0.164400 + 0.0440509i
\(352\) −4.96276 + 4.96276i −0.264516 + 0.264516i
\(353\) −1.76377 + 3.05493i −0.0938758 + 0.162598i −0.909139 0.416493i \(-0.863259\pi\)
0.815263 + 0.579091i \(0.196592\pi\)
\(354\) 47.4600 + 12.7169i 2.52247 + 0.675894i
\(355\) 27.0923i 1.43791i
\(356\) 10.8859 + 18.8549i 0.576950 + 0.999306i
\(357\) −37.6944 22.3611i −1.99500 1.18347i
\(358\) 14.2603 24.6995i 0.753679 1.30541i
\(359\) −14.7315 8.50522i −0.777497 0.448888i 0.0580455 0.998314i \(-0.481513\pi\)
−0.835543 + 0.549426i \(0.814846\pi\)
\(360\) 31.3635 31.3635i 1.65300 1.65300i
\(361\) 1.11340 1.92846i 0.0585998 0.101498i
\(362\) 2.36500 + 8.82631i 0.124302 + 0.463900i
\(363\) −5.66285 + 21.1340i −0.297223 + 1.10925i
\(364\) 19.0913 71.2498i 1.00066 3.73450i
\(365\) 17.5572i 0.918983i
\(366\) 61.4895i 3.21411i
\(367\) 3.86600 14.4281i 0.201804 0.753141i −0.788597 0.614911i \(-0.789192\pi\)
0.990400 0.138230i \(-0.0441414\pi\)
\(368\) 4.94330 18.4486i 0.257687 0.961702i
\(369\) −1.67634 6.25618i −0.0872668 0.325684i
\(370\) −20.9182 + 36.2314i −1.08749 + 1.88358i
\(371\) −9.86461 + 9.86461i −0.512145 + 0.512145i
\(372\) −85.9543 49.6258i −4.45653 2.57298i
\(373\) 9.06521 15.7014i 0.469379 0.812988i −0.530008 0.847993i \(-0.677811\pi\)
0.999387 + 0.0350042i \(0.0111445\pi\)
\(374\) 15.3356 3.91547i 0.792983 0.202464i
\(375\) −14.3566 24.8664i −0.741373 1.28410i
\(376\) 37.9088i 1.95500i
\(377\) −36.1390 9.68342i −1.86125 0.498721i
\(378\) 4.31954 7.48166i 0.222173 0.384815i
\(379\) 22.1745 22.1745i 1.13903 1.13903i 0.150400 0.988625i \(-0.451944\pi\)
0.988625 0.150400i \(-0.0480561\pi\)
\(380\) −42.9120 + 11.4982i −2.20134 + 0.589847i
\(381\) 3.63020 13.5481i 0.185981 0.694090i
\(382\) −10.9207 + 6.30509i −0.558754 + 0.322597i
\(383\) 31.0284i 1.58547i −0.609563 0.792737i \(-0.708655\pi\)
0.609563 0.792737i \(-0.291345\pi\)
\(384\) −8.64024 + 32.2458i −0.440920 + 1.64554i
\(385\) −9.89876 9.89876i −0.504487 0.504487i
\(386\) −16.8444 + 16.8444i −0.857357 + 0.857357i
\(387\) −7.82697 + 20.3214i −0.397867 + 1.03299i
\(388\) 8.37763 8.37763i 0.425310 0.425310i
\(389\) 1.74518i 0.0884839i −0.999021 0.0442420i \(-0.985913\pi\)
0.999021 0.0442420i \(-0.0140873\pi\)
\(390\) −27.4868 47.6085i −1.39185 2.41075i
\(391\) −8.46340 + 8.26565i −0.428013 + 0.418012i
\(392\) 33.2496 + 57.5900i 1.67936 + 2.90873i
\(393\) 4.09126 2.36209i 0.206377 0.119152i
\(394\) −7.75346 28.9363i −0.390614 1.45779i
\(395\) −4.56603 −0.229742
\(396\) 5.75070 + 21.4619i 0.288984 + 1.07850i
\(397\) −7.46181 + 27.8478i −0.374497 + 1.39764i 0.479581 + 0.877498i \(0.340789\pi\)
−0.854078 + 0.520145i \(0.825878\pi\)
\(398\) 19.8634 + 19.8634i 0.995661 + 0.995661i
\(399\) −42.4130 + 24.4872i −2.12331 + 1.22589i
\(400\) −1.31550 0.759506i −0.0657751 0.0379753i
\(401\) 24.2396 6.49499i 1.21047 0.324344i 0.403523 0.914969i \(-0.367785\pi\)
0.806946 + 0.590625i \(0.201119\pi\)
\(402\) 19.8911 5.32981i 0.992079 0.265827i
\(403\) −24.9939 + 24.9939i −1.24503 + 1.24503i
\(404\) 39.8402 69.0052i 1.98212 3.43314i
\(405\) 4.48588 + 16.7415i 0.222905 + 0.831893i
\(406\) 87.7846 50.6825i 4.35668 2.51533i
\(407\) −5.73099 9.92637i −0.284075 0.492032i
\(408\) −45.3434 + 44.2840i −2.24483 + 2.19238i
\(409\) 17.9851 0.889308 0.444654 0.895702i \(-0.353327\pi\)
0.444654 + 0.895702i \(0.353327\pi\)
\(410\) 9.34443 5.39501i 0.461489 0.266441i
\(411\) 14.3777 + 3.85249i 0.709199 + 0.190029i
\(412\) −15.5643 + 26.9582i −0.766799 + 1.32814i
\(413\) 8.44416 + 31.5140i 0.415510 + 1.55070i
\(414\) −17.0637 17.0637i −0.838636 0.838636i
\(415\) −25.4707 + 6.82484i −1.25031 + 0.335018i
\(416\) −15.8491 9.15047i −0.777065 0.448639i
\(417\) 5.71184 + 3.29773i 0.279710 + 0.161491i
\(418\) 4.57749 17.0834i 0.223892 0.835577i
\(419\) −0.598952 0.598952i −0.0292607 0.0292607i 0.692325 0.721586i \(-0.256586\pi\)
−0.721586 + 0.692325i \(0.756586\pi\)
\(420\) 99.0062 + 26.5286i 4.83101 + 1.29446i
\(421\) −6.60668 + 11.4431i −0.321990 + 0.557703i −0.980899 0.194520i \(-0.937685\pi\)
0.658909 + 0.752223i \(0.271018\pi\)
\(422\) 3.30898 3.30898i 0.161078 0.161078i
\(423\) 17.8314 + 10.2949i 0.866990 + 0.500557i
\(424\) 10.0872 + 17.4715i 0.489878 + 0.848493i
\(425\) 0.460768 + 0.820316i 0.0223506 + 0.0397912i
\(426\) −78.9705 −3.82613
\(427\) 35.3596 20.4149i 1.71117 0.987946i
\(428\) 35.9192 35.9192i 1.73622 1.73622i
\(429\) 15.0612 0.727161
\(430\) −36.0752 3.83282i −1.73970 0.184835i
\(431\) 13.7203 + 13.7203i 0.660885 + 0.660885i 0.955589 0.294704i \(-0.0952209\pi\)
−0.294704 + 0.955589i \(0.595221\pi\)
\(432\) −3.79755 3.79755i −0.182710 0.182710i
\(433\) 18.5333 10.7002i 0.890651 0.514218i 0.0164958 0.999864i \(-0.494749\pi\)
0.874155 + 0.485646i \(0.161416\pi\)
\(434\) 95.7644i 4.59684i
\(435\) 13.4557 50.2175i 0.645153 2.40774i
\(436\) −7.71360 + 28.7875i −0.369414 + 1.37867i
\(437\) 3.42137 + 12.7687i 0.163667 + 0.610812i
\(438\) 51.1768 2.44532
\(439\) 0.981158 + 3.66173i 0.0468281 + 0.174765i 0.985379 0.170375i \(-0.0544980\pi\)
−0.938551 + 0.345140i \(0.887831\pi\)
\(440\) −17.5320 + 10.1221i −0.835806 + 0.482553i
\(441\) 36.1185 1.71993
\(442\) 20.2117 + 35.9834i 0.961373 + 1.71155i
\(443\) −18.2445 + 31.6004i −0.866823 + 1.50138i −0.00159712 + 0.999999i \(0.500508\pi\)
−0.865226 + 0.501383i \(0.832825\pi\)
\(444\) 72.6797 + 41.9617i 3.44923 + 1.99141i
\(445\) 2.78856 + 10.4070i 0.132190 + 0.493341i
\(446\) 55.8803 2.64601
\(447\) −7.01043 26.1633i −0.331582 1.23748i
\(448\) −6.47815 + 1.73582i −0.306064 + 0.0820096i
\(449\) 7.30258 27.2536i 0.344630 1.28618i −0.548413 0.836207i \(-0.684768\pi\)
0.893044 0.449970i \(-0.148565\pi\)
\(450\) −1.66211 + 0.959620i −0.0783527 + 0.0452369i
\(451\) 2.95616i 0.139200i
\(452\) −19.1331 19.1331i −0.899948 0.899948i
\(453\) −6.64808 + 24.8110i −0.312354 + 1.16572i
\(454\) −31.6598 8.48322i −1.48587 0.398137i
\(455\) 18.2516 31.6127i 0.855647 1.48202i
\(456\) 18.3303 + 68.4097i 0.858396 + 3.20358i
\(457\) 6.76287i 0.316354i 0.987411 + 0.158177i \(0.0505616\pi\)
−0.987411 + 0.158177i \(0.949438\pi\)
\(458\) 1.17555 2.03612i 0.0549300 0.0951416i
\(459\) 0.822916 + 3.22308i 0.0384104 + 0.150441i
\(460\) 13.8333 23.9599i 0.644979 1.11714i
\(461\) −7.32588 + 4.22960i −0.341200 + 0.196992i −0.660803 0.750560i \(-0.729784\pi\)
0.319602 + 0.947552i \(0.396451\pi\)
\(462\) −28.8536 + 28.8536i −1.34239 + 1.34239i
\(463\) −10.2812 17.8076i −0.477809 0.827589i 0.521867 0.853027i \(-0.325236\pi\)
−0.999676 + 0.0254372i \(0.991902\pi\)
\(464\) −16.3093 60.8671i −0.757139 2.82568i
\(465\) −34.7306 34.7306i −1.61059 1.61059i
\(466\) 47.1642 12.6376i 2.18484 0.585426i
\(467\) 21.5794 12.4589i 0.998574 0.576527i 0.0907478 0.995874i \(-0.471074\pi\)
0.907826 + 0.419347i \(0.137741\pi\)
\(468\) −50.1753 + 28.9687i −2.31935 + 1.33908i
\(469\) 9.66889 + 9.66889i 0.446468 + 0.446468i
\(470\) −8.87782 + 33.1325i −0.409503 + 1.52829i
\(471\) 11.6748 11.6748i 0.537947 0.537947i
\(472\) 47.1809 2.17168
\(473\) 5.85119 8.03439i 0.269038 0.369422i
\(474\) 13.3094i 0.611320i
\(475\) 1.05134 0.0482390
\(476\) −74.0880 20.7935i −3.39582 0.953067i
\(477\) 10.9576 0.501713
\(478\) −39.7303 + 22.9383i −1.81722 + 1.04917i
\(479\) 28.7393 + 7.70067i 1.31313 + 0.351853i 0.846401 0.532546i \(-0.178765\pi\)
0.466731 + 0.884399i \(0.345432\pi\)
\(480\) 12.7152 22.0233i 0.580365 1.00522i
\(481\) 21.1339 21.1339i 0.963623 0.963623i
\(482\) −61.0770 + 16.3655i −2.78198 + 0.745430i
\(483\) 7.89377 29.4599i 0.359179 1.34047i
\(484\) 38.4150i 1.74613i
\(485\) 5.07759 2.93155i 0.230561 0.133115i
\(486\) 54.7203 14.6623i 2.48217 0.665094i
\(487\) 11.1647 2.99158i 0.505922 0.135561i 0.00317471 0.999995i \(-0.498989\pi\)
0.502747 + 0.864434i \(0.332323\pi\)
\(488\) −15.2820 57.0330i −0.691782 2.58176i
\(489\) 63.0230 2.85000
\(490\) 15.5734 + 58.1206i 0.703533 + 2.62562i
\(491\) 8.64255 + 4.98978i 0.390033 + 0.225185i 0.682174 0.731190i \(-0.261035\pi\)
−0.292142 + 0.956375i \(0.594368\pi\)
\(492\) −10.8223 18.7448i −0.487908 0.845081i
\(493\) −10.5468 + 37.5786i −0.475002 + 1.69245i
\(494\) 46.1175 2.07492
\(495\) 10.9955i 0.494211i
\(496\) −57.5041 15.4082i −2.58201 0.691848i
\(497\) −26.2187 45.4121i −1.17607 2.03701i
\(498\) 19.8935 + 74.2436i 0.891450 + 3.32694i
\(499\) 2.20934 0.591990i 0.0989035 0.0265011i −0.209028 0.977910i \(-0.567030\pi\)
0.307931 + 0.951409i \(0.400363\pi\)
\(500\) −35.6475 35.6475i −1.59420 1.59420i
\(501\) −1.45845 0.842038i −0.0651588 0.0376195i
\(502\) 56.3428 + 32.5295i 2.51470 + 1.45186i
\(503\) −13.8454 + 3.70987i −0.617337 + 0.165415i −0.553917 0.832572i \(-0.686867\pi\)
−0.0634202 + 0.997987i \(0.520201\pi\)
\(504\) 22.2193 82.9237i 0.989728 3.69371i
\(505\) 27.8822 27.8822i 1.24074 1.24074i
\(506\) 5.50707 + 9.53853i 0.244819 + 0.424039i
\(507\) 1.70541 + 6.36466i 0.0757397 + 0.282664i
\(508\) 24.6261i 1.09261i
\(509\) 7.64328 13.2386i 0.338783 0.586789i −0.645421 0.763827i \(-0.723318\pi\)
0.984204 + 0.177038i \(0.0566516\pi\)
\(510\) −50.0012 + 28.0855i −2.21409 + 1.24365i
\(511\) 16.9910 + 29.4293i 0.751638 + 1.30188i
\(512\) 50.5778i 2.23525i
\(513\) 3.59042 + 0.962051i 0.158521 + 0.0424756i
\(514\) −38.3219 −1.69031
\(515\) −10.8927 + 10.8927i −0.479990 + 0.479990i
\(516\) −7.68858 + 72.3664i −0.338471 + 3.18576i
\(517\) −6.64509 6.64509i −0.292251 0.292251i
\(518\) 80.9748i 3.55783i
\(519\) −33.5993 + 19.3986i −1.47484 + 0.851502i
\(520\) −37.3268 37.3268i −1.63689 1.63689i
\(521\) −2.62855 + 9.80987i −0.115159 + 0.429778i −0.999299 0.0374439i \(-0.988078\pi\)
0.884140 + 0.467222i \(0.154745\pi\)
\(522\) −76.9043 20.6064i −3.36601 0.901920i
\(523\) −11.4318 + 19.8004i −0.499877 + 0.865813i −1.00000 0.000141803i \(-0.999955\pi\)
0.500123 + 0.865954i \(0.333288\pi\)
\(524\) 5.86506 5.86506i 0.256216 0.256216i
\(525\) −2.10068 1.21283i −0.0916811 0.0529321i
\(526\) −14.8427 25.7084i −0.647174 1.12094i
\(527\) 25.7639 + 26.3803i 1.12229 + 1.14914i
\(528\) 12.6834 + 21.9683i 0.551974 + 0.956047i
\(529\) 12.7892 + 7.38382i 0.556050 + 0.321036i
\(530\) 4.72462 + 17.6325i 0.205224 + 0.765908i
\(531\) 12.8130 22.1927i 0.556035 0.963081i
\(532\) −60.8016 + 60.8016i −2.63608 + 2.63608i
\(533\) −7.44571 + 1.99507i −0.322509 + 0.0864161i
\(534\) 30.3352 8.12828i 1.31273 0.351745i
\(535\) 21.7702 12.5690i 0.941208 0.543407i
\(536\) 17.1249 9.88706i 0.739683 0.427056i
\(537\) −20.0199 20.0199i −0.863922 0.863922i
\(538\) 34.7735 + 34.7735i 1.49919 + 1.49919i
\(539\) −15.9234 4.26666i −0.685869 0.183778i
\(540\) −3.88976 6.73725i −0.167388 0.289925i
\(541\) 1.59044 + 5.93561i 0.0683785 + 0.255192i 0.991650 0.128955i \(-0.0411623\pi\)
−0.923272 + 0.384147i \(0.874496\pi\)
\(542\) 6.02580 + 3.47899i 0.258830 + 0.149436i
\(543\) 9.07097 0.389273
\(544\) −9.74063 + 16.4199i −0.417626 + 0.703999i
\(545\) −7.37431 + 12.7727i −0.315881 + 0.547121i
\(546\) −92.1467 53.2009i −3.94352 2.27679i
\(547\) 38.0732 + 10.2017i 1.62789 + 0.436192i 0.953307 0.302004i \(-0.0976557\pi\)
0.674585 + 0.738197i \(0.264322\pi\)
\(548\) 26.1341 1.11639
\(549\) −30.9771 8.30028i −1.32207 0.354247i
\(550\) 0.846126 0.226719i 0.0360789 0.00966732i
\(551\) 30.8395 + 30.8395i 1.31381 + 1.31381i
\(552\) −38.1966 22.0528i −1.62575 0.938630i
\(553\) −7.65358 + 4.41880i −0.325463 + 0.187906i
\(554\) 7.10835 26.5287i 0.302005 1.12710i
\(555\) 29.3669 + 29.3669i 1.24656 + 1.24656i
\(556\) 11.1854 + 2.99711i 0.474366 + 0.127106i
\(557\) 8.26241 0.350090 0.175045 0.984560i \(-0.443993\pi\)
0.175045 + 0.984560i \(0.443993\pi\)
\(558\) −53.1874 + 53.1874i −2.25160 + 2.25160i
\(559\) 24.1852 + 9.31515i 1.02293 + 0.393989i
\(560\) 61.4804 2.59802
\(561\) 0.185717 15.7109i 0.00784097 0.663315i
\(562\) −5.93398 10.2779i −0.250310 0.433549i
\(563\) 23.9792i 1.01060i 0.862943 + 0.505302i \(0.168619\pi\)
−0.862943 + 0.505302i \(0.831381\pi\)
\(564\) 66.4633 + 17.8088i 2.79861 + 0.749886i
\(565\) −6.69517 11.5964i −0.281668 0.487863i
\(566\) −12.0258 44.8810i −0.505483 1.88649i
\(567\) 23.7209 + 23.7209i 0.996185 + 0.996185i
\(568\) −73.2471 + 19.6265i −3.07338 + 0.823509i
\(569\) 35.1365 20.2861i 1.47300 0.850437i 0.473461 0.880815i \(-0.343005\pi\)
0.999538 + 0.0303784i \(0.00967123\pi\)
\(570\) 64.0832i 2.68415i
\(571\) −0.787863 + 2.94034i −0.0329710 + 0.123050i −0.980450 0.196769i \(-0.936955\pi\)
0.947479 + 0.319818i \(0.103622\pi\)
\(572\) 25.5426 6.84411i 1.06799 0.286167i
\(573\) 3.23993 + 12.0916i 0.135350 + 0.505134i
\(574\) 10.4421 18.0862i 0.435844 0.754905i
\(575\) −0.462967 + 0.462967i −0.0193071 + 0.0193071i
\(576\) 4.56202 + 2.63388i 0.190084 + 0.109745i
\(577\) −16.2679 + 28.1769i −0.677243 + 1.17302i 0.298565 + 0.954389i \(0.403492\pi\)
−0.975808 + 0.218630i \(0.929841\pi\)
\(578\) 37.7849 20.6399i 1.57164 0.858507i
\(579\) 11.8238 + 20.4795i 0.491382 + 0.851099i
\(580\) 91.2794i 3.79017i
\(581\) −36.0892 + 36.0892i −1.49723 + 1.49723i
\(582\) −8.54507 14.8005i −0.354205 0.613500i
\(583\) −4.83081 1.29441i −0.200072 0.0536090i
\(584\) 47.4678 12.7189i 1.96423 0.526314i
\(585\) −27.6945 + 7.42072i −1.14503 + 0.306809i
\(586\) 46.3788i 1.91589i
\(587\) −15.4593 8.92541i −0.638072 0.368391i 0.145799 0.989314i \(-0.453425\pi\)
−0.783872 + 0.620923i \(0.786758\pi\)
\(588\) 116.589 31.2400i 4.80806 1.28831i
\(589\) 39.8000 10.6644i 1.63993 0.439418i
\(590\) 41.2363 + 11.0492i 1.69767 + 0.454890i
\(591\) −29.7384 −1.22327
\(592\) 48.6233 + 13.0286i 1.99840 + 0.535471i
\(593\) 20.2168 + 11.6722i 0.830205 + 0.479319i 0.853923 0.520399i \(-0.174217\pi\)
−0.0237177 + 0.999719i \(0.507550\pi\)
\(594\) 3.09705 0.127074
\(595\) −32.7513 19.4287i −1.34267 0.796500i
\(596\) −23.7783 41.1852i −0.973996 1.68701i
\(597\) 24.1500 13.9430i 0.988394 0.570649i
\(598\) −20.3081 + 20.3081i −0.830462 + 0.830462i
\(599\) 12.0801 + 20.9233i 0.493578 + 0.854903i 0.999973 0.00739925i \(-0.00235528\pi\)
−0.506394 + 0.862302i \(0.669022\pi\)
\(600\) −2.48039 + 2.48039i −0.101261 + 0.101261i
\(601\) 5.48816 + 5.48816i 0.223867 + 0.223867i 0.810125 0.586258i \(-0.199399\pi\)
−0.586258 + 0.810125i \(0.699399\pi\)
\(602\) −64.1785 + 28.4874i −2.61572 + 1.16106i
\(603\) 10.7402i 0.437373i
\(604\) 45.0984i 1.83503i
\(605\) −4.92025 + 18.3626i −0.200037 + 0.746547i
\(606\) −81.2728 81.2728i −3.30148 3.30148i
\(607\) −40.8713 10.9514i −1.65891 0.444505i −0.696826 0.717241i \(-0.745405\pi\)
−0.962089 + 0.272736i \(0.912071\pi\)
\(608\) 10.6668 + 18.4754i 0.432595 + 0.749276i
\(609\) −26.0437 97.1964i −1.05534 3.93860i
\(610\) 53.4260i 2.16316i
\(611\) 12.2524 21.2217i 0.495678 0.858540i
\(612\) 29.5997 + 52.6970i 1.19650 + 2.13015i
\(613\) −10.8240 −0.437177 −0.218589 0.975817i \(-0.570145\pi\)
−0.218589 + 0.975817i \(0.570145\pi\)
\(614\) −63.2855 + 36.5379i −2.55399 + 1.47455i
\(615\) −2.77228 10.3463i −0.111789 0.417203i
\(616\) −19.5914 + 33.9334i −0.789362 + 1.36721i
\(617\) 1.44458 + 5.39124i 0.0581565 + 0.217043i 0.988889 0.148659i \(-0.0474956\pi\)
−0.930732 + 0.365702i \(0.880829\pi\)
\(618\) 31.7508 + 31.7508i 1.27720 + 1.27720i
\(619\) 3.41253 0.914385i 0.137161 0.0367522i −0.189585 0.981864i \(-0.560714\pi\)
0.326746 + 0.945112i \(0.394048\pi\)
\(620\) −74.6827 43.1181i −2.99933 1.73166i
\(621\) −2.00471 + 1.15742i −0.0804464 + 0.0464458i
\(622\) −19.6470 + 73.3236i −0.787773 + 2.94001i
\(623\) 14.7456 + 14.7456i 0.590772 + 0.590772i
\(624\) −46.7719 + 46.7719i −1.87237 + 1.87237i
\(625\) −11.9035 20.6174i −0.476139 0.824697i
\(626\) −20.1104 5.38855i −0.803772 0.215370i
\(627\) −15.2048 8.77848i −0.607220 0.350579i
\(628\) 14.4943 25.1048i 0.578385 1.00179i
\(629\) −21.7850 22.3062i −0.868624 0.889405i
\(630\) 38.8396 67.2722i 1.54741 2.68019i
\(631\) −10.7648 6.21505i −0.428539 0.247417i 0.270185 0.962808i \(-0.412915\pi\)
−0.698724 + 0.715391i \(0.746248\pi\)
\(632\) 3.30777 + 12.3448i 0.131576 + 0.491049i
\(633\) −2.32272 4.02307i −0.0923199 0.159903i
\(634\) 36.1182 36.1182i 1.43444 1.43444i
\(635\) 3.15415 11.7715i 0.125169 0.467136i
\(636\) 35.3706 9.47753i 1.40254 0.375808i
\(637\) 42.9859i 1.70316i
\(638\) 31.4702 + 18.1693i 1.24592 + 0.719330i
\(639\) −10.6600 + 39.7836i −0.421702 + 1.57381i
\(640\) −7.50719 + 28.0172i −0.296748 + 1.10748i
\(641\) 22.4406 22.4406i 0.886349 0.886349i −0.107822 0.994170i \(-0.534388\pi\)
0.994170 + 0.107822i \(0.0343876\pi\)
\(642\) −36.6371 63.4573i −1.44595 2.50446i
\(643\) 32.9777 32.9777i 1.30051 1.30051i 0.372468 0.928045i \(-0.378512\pi\)
0.928045 0.372468i \(-0.121488\pi\)
\(644\) 53.5488i 2.11012i
\(645\) −12.9440 + 33.6069i −0.509670 + 1.32327i
\(646\) 0.568666 48.1069i 0.0223738 1.89274i
\(647\) −35.1064 −1.38017 −0.690087 0.723727i \(-0.742428\pi\)
−0.690087 + 0.723727i \(0.742428\pi\)
\(648\) 42.0129 24.2562i 1.65042 0.952872i
\(649\) −8.27040 + 8.27040i −0.324641 + 0.324641i
\(650\) 1.14208 + 1.97814i 0.0447960 + 0.0775890i
\(651\) −91.8262 24.6048i −3.59895 0.964336i
\(652\) 106.882 28.6389i 4.18582 1.12159i
\(653\) −3.83629 3.83629i −0.150126 0.150126i 0.628048 0.778174i \(-0.283854\pi\)
−0.778174 + 0.628048i \(0.783854\pi\)
\(654\) 37.2307 + 21.4951i 1.45583 + 0.840526i
\(655\) 3.55475 2.05233i 0.138895 0.0801913i
\(656\) −9.18022 9.18022i −0.358428 0.358428i
\(657\) 6.90820 25.7817i 0.269514 1.00584i
\(658\) 17.1831 + 64.1282i 0.669867 + 2.49998i
\(659\) −16.7292 + 28.9759i −0.651678 + 1.12874i 0.331038 + 0.943617i \(0.392601\pi\)
−0.982716 + 0.185122i \(0.940732\pi\)
\(660\) 9.51033 + 35.4930i 0.370189 + 1.38157i
\(661\) 41.3259i 1.60739i 0.595040 + 0.803696i \(0.297136\pi\)
−0.595040 + 0.803696i \(0.702864\pi\)
\(662\) −31.8996 + 55.2517i −1.23981 + 2.14742i
\(663\) 39.6966 10.1353i 1.54169 0.393623i
\(664\) 36.9035 + 63.9187i 1.43213 + 2.48053i
\(665\) −36.8511 + 21.2760i −1.42903 + 0.825048i
\(666\) 44.9732 44.9732i 1.74268 1.74268i
\(667\) −27.1608 −1.05167
\(668\) −2.85606 0.765278i −0.110504 0.0296095i
\(669\) 14.3573 53.5823i 0.555086 2.07161i
\(670\) 17.2827 4.63088i 0.667688 0.178907i
\(671\) 12.6762 + 7.31860i 0.489359 + 0.282532i
\(672\) 49.2206i 1.89873i
\(673\) 42.5821 11.4098i 1.64142 0.439817i 0.684227 0.729270i \(-0.260140\pi\)
0.957192 + 0.289453i \(0.0934733\pi\)
\(674\) −52.2003 + 13.9870i −2.01068 + 0.538760i
\(675\) 0.0476496 + 0.177831i 0.00183403 + 0.00684470i
\(676\) 5.78446 + 10.0190i 0.222479 + 0.385345i
\(677\) 31.7198 31.7198i 1.21909 1.21909i 0.251138 0.967951i \(-0.419195\pi\)
0.967951 0.251138i \(-0.0808049\pi\)
\(678\) −33.8019 + 19.5156i −1.29816 + 0.749490i
\(679\) 5.67403 9.82772i 0.217749 0.377153i
\(680\) −39.3973 + 38.4768i −1.51082 + 1.47552i
\(681\) −16.2687 + 28.1782i −0.623418 + 1.07979i
\(682\) 29.7314 17.1655i 1.13848 0.657299i
\(683\) 41.8731 + 11.2199i 1.60223 + 0.429316i 0.945715 0.324996i \(-0.105363\pi\)
0.656515 + 0.754313i \(0.272030\pi\)
\(684\) 67.5381 2.58238
\(685\) 12.4923 + 3.34729i 0.477305 + 0.127893i
\(686\) 29.3487 + 29.3487i 1.12054 + 1.12054i
\(687\) −1.65035 1.65035i −0.0629648 0.0629648i
\(688\) 6.77985 + 43.1211i 0.258479 + 1.64398i
\(689\) 13.0410i 0.496822i
\(690\) −28.2195 28.2195i −1.07430 1.07430i
\(691\) −9.08771 + 33.9158i −0.345713 + 1.29022i 0.546065 + 0.837743i \(0.316125\pi\)
−0.891777 + 0.452474i \(0.850541\pi\)
\(692\) −48.1666 + 48.1666i −1.83102 + 1.83102i
\(693\) 10.6409 + 18.4307i 0.404216 + 0.700123i
\(694\) 24.7764 + 6.63881i 0.940499 + 0.252006i
\(695\) 4.96281 + 2.86528i 0.188250 + 0.108686i
\(696\) −145.516 −5.51578
\(697\) 1.98932 + 7.79150i 0.0753510 + 0.295124i
\(698\) 31.1839 + 54.0121i 1.18033 + 2.04439i
\(699\) 48.4716i 1.83336i
\(700\) −4.11371 1.10227i −0.155484 0.0416618i
\(701\) 12.1461 21.0376i 0.458751 0.794580i −0.540144 0.841573i \(-0.681630\pi\)
0.998895 + 0.0469921i \(0.0149636\pi\)
\(702\) 2.09016 + 7.80058i 0.0788880 + 0.294414i
\(703\) −33.6533 + 9.01739i −1.26926 + 0.340097i
\(704\) −1.70010 1.70010i −0.0640748 0.0640748i
\(705\) 29.4890 + 17.0255i 1.11062 + 0.641216i
\(706\) 7.73700 + 4.46696i 0.291186 + 0.168116i
\(707\) 19.7530 73.7192i 0.742888 2.77249i
\(708\) 22.1646 82.7195i 0.832998 3.10879i
\(709\) −7.63433 + 7.63433i −0.286713 + 0.286713i −0.835779 0.549066i \(-0.814984\pi\)
0.549066 + 0.835779i \(0.314984\pi\)
\(710\) −68.6146 −2.57506
\(711\) 6.70497 + 1.79659i 0.251456 + 0.0673775i
\(712\) 26.1165 15.0784i 0.978757 0.565086i
\(713\) −12.8301 + 22.2223i −0.480490 + 0.832233i
\(714\) −56.6322 + 95.4658i −2.11941 + 3.57272i
\(715\) 13.0861 0.489394
\(716\) −43.0495 24.8547i −1.60884 0.928863i
\(717\) 11.7871 + 43.9900i 0.440197 + 1.64284i
\(718\) −21.5405 + 37.3093i −0.803885 + 1.39237i
\(719\) −33.3448 8.93470i −1.24355 0.333208i −0.423708 0.905799i \(-0.639272\pi\)
−0.819841 + 0.572591i \(0.805938\pi\)
\(720\) −34.1461 34.1461i −1.27255 1.27255i
\(721\) −7.71689 + 28.7998i −0.287392 + 1.07256i
\(722\) −4.88406 2.81982i −0.181766 0.104943i
\(723\) 62.7700i 2.33444i
\(724\) 15.3836 4.12203i 0.571728 0.153194i
\(725\) −0.559087 + 2.08654i −0.0207640 + 0.0774922i
\(726\) 53.5246 + 14.3419i 1.98648 + 0.532277i
\(727\) −39.3936 −1.46103 −0.730514 0.682897i \(-0.760720\pi\)
−0.730514 + 0.682897i \(0.760720\pi\)
\(728\) −98.6904 26.4440i −3.65771 0.980080i
\(729\) 32.4342i 1.20127i
\(730\) 44.4657 1.64575
\(731\) 10.0152 25.1137i 0.370426 0.928862i
\(732\) −107.172 −3.96119
\(733\) 24.6303i 0.909741i −0.890558 0.454871i \(-0.849686\pi\)
0.890558 0.454871i \(-0.150314\pi\)
\(734\) −36.5410 9.79113i −1.34875 0.361397i
\(735\) 59.7317 2.20324
\(736\) −12.8330 3.43858i −0.473029 0.126748i
\(737\) −1.26873 + 4.73496i −0.0467342 + 0.174415i
\(738\) −15.8446 + 4.24554i −0.583247 + 0.156280i
\(739\) 12.6905i 0.466826i 0.972378 + 0.233413i \(0.0749894\pi\)
−0.972378 + 0.233413i \(0.925011\pi\)
\(740\) 63.1488 + 36.4590i 2.32140 + 1.34026i
\(741\) 11.8490 44.2209i 0.435282 1.62450i
\(742\) 24.9834 + 24.9834i 0.917168 + 0.917168i
\(743\) 1.53035 + 0.410057i 0.0561432 + 0.0150435i 0.286781 0.957996i \(-0.407415\pi\)
−0.230638 + 0.973040i \(0.574081\pi\)
\(744\) −68.7382 + 119.058i −2.52007 + 4.36488i
\(745\) −6.09112 22.7324i −0.223161 0.832849i
\(746\) −39.7658 22.9588i −1.45593 0.840581i
\(747\) 40.0877 1.46673
\(748\) −6.82439 26.7288i −0.249525 0.977303i
\(749\) 24.3275 42.1364i 0.888907 1.53963i
\(750\) −62.9773 + 36.3600i −2.29961 + 1.32768i
\(751\) −28.7043 7.69128i −1.04743 0.280659i −0.306243 0.951953i \(-0.599072\pi\)
−0.741191 + 0.671295i \(0.765739\pi\)
\(752\) 41.2721 1.50504
\(753\) 45.6679 45.6679i 1.66423 1.66423i
\(754\) −24.5245 + 91.5266i −0.893129 + 3.33320i
\(755\) −5.77628 + 21.5574i −0.210220 + 0.784553i
\(756\) −13.0400 7.52866i −0.474261 0.273815i
\(757\) −23.9292 13.8156i −0.869723 0.502135i −0.00246705 0.999997i \(-0.500785\pi\)
−0.867256 + 0.497862i