Properties

Label 731.2.n.a.208.9
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 208.9
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.56

$q$-expansion

\(f(q)\) \(=\) \(q-2.24302i q^{2} +(-2.58532 - 0.692735i) q^{3} -3.03116 q^{4} +(-2.60177 - 0.697143i) q^{5} +(-1.55382 + 5.79894i) q^{6} +(2.01210 - 0.539141i) q^{7} +2.31291i q^{8} +(3.60594 + 2.08189i) q^{9} +O(q^{10})\) \(q-2.24302i q^{2} +(-2.58532 - 0.692735i) q^{3} -3.03116 q^{4} +(-2.60177 - 0.697143i) q^{5} +(-1.55382 + 5.79894i) q^{6} +(2.01210 - 0.539141i) q^{7} +2.31291i q^{8} +(3.60594 + 2.08189i) q^{9} +(-1.56371 + 5.83584i) q^{10} +(2.69807 + 2.69807i) q^{11} +(7.83652 + 2.09979i) q^{12} +(-3.41870 + 5.92137i) q^{13} +(-1.20931 - 4.51319i) q^{14} +(6.24349 + 3.60468i) q^{15} -0.874400 q^{16} +(3.91303 - 1.29930i) q^{17} +(4.66973 - 8.08821i) q^{18} +(0.0486330 - 0.0280783i) q^{19} +(7.88639 + 2.11315i) q^{20} -5.57541 q^{21} +(6.05183 - 6.05183i) q^{22} +(0.368975 - 1.37703i) q^{23} +(1.60224 - 5.97962i) q^{24} +(1.95310 + 1.12762i) q^{25} +(13.2818 + 7.66824i) q^{26} +(-2.20256 - 2.20256i) q^{27} +(-6.09899 + 1.63422i) q^{28} +(1.14292 + 4.26543i) q^{29} +(8.08539 - 14.0043i) q^{30} +(-8.96370 - 2.40182i) q^{31} +6.58712i q^{32} +(-5.10633 - 8.84442i) q^{33} +(-2.91436 - 8.77702i) q^{34} -5.61089 q^{35} +(-10.9302 - 6.31054i) q^{36} +(0.229473 + 0.0614872i) q^{37} +(-0.0629803 - 0.109085i) q^{38} +(12.9404 - 12.9404i) q^{39} +(1.61243 - 6.01767i) q^{40} +(-2.14240 - 2.14240i) q^{41} +12.5058i q^{42} +(4.95254 - 4.29795i) q^{43} +(-8.17826 - 8.17826i) q^{44} +(-7.93047 - 7.93047i) q^{45} +(-3.08872 - 0.827621i) q^{46} +9.27352 q^{47} +(2.26061 + 0.605728i) q^{48} +(-2.30430 + 1.33039i) q^{49} +(2.52928 - 4.38084i) q^{50} +(-11.0165 + 0.648417i) q^{51} +(10.3626 - 17.9486i) q^{52} +(-0.435403 + 0.251380i) q^{53} +(-4.94040 + 4.94040i) q^{54} +(-5.13882 - 8.90070i) q^{55} +(1.24698 + 4.65381i) q^{56} +(-0.145183 + 0.0389016i) q^{57} +(9.56746 - 2.56359i) q^{58} +7.77975i q^{59} +(-18.9250 - 10.9264i) q^{60} +(9.17494 - 2.45842i) q^{61} +(-5.38733 + 20.1058i) q^{62} +(8.37795 + 2.24487i) q^{63} +13.0263 q^{64} +(13.0227 - 13.0227i) q^{65} +(-19.8382 + 11.4536i) q^{66} +(7.19224 + 12.4573i) q^{67} +(-11.8610 + 3.93838i) q^{68} +(-1.90784 + 3.30448i) q^{69} +12.5854i q^{70} +(0.876641 + 3.27167i) q^{71} +(-4.81523 + 8.34022i) q^{72} +(-0.971054 - 3.62402i) q^{73} +(0.137917 - 0.514714i) q^{74} +(-4.26824 - 4.26824i) q^{75} +(-0.147414 + 0.0851097i) q^{76} +(6.88342 + 3.97414i) q^{77} +(-29.0256 - 29.0256i) q^{78} +(1.85752 - 0.497722i) q^{79} +(2.27499 + 0.609582i) q^{80} +(-2.07713 - 3.59770i) q^{81} +(-4.80545 + 4.80545i) q^{82} +(-12.3029 + 7.10306i) q^{83} +16.9000 q^{84} +(-11.0866 + 0.652543i) q^{85} +(-9.64040 - 11.1087i) q^{86} -11.8193i q^{87} +(-6.24039 + 6.24039i) q^{88} +(4.10771 + 7.11476i) q^{89} +(-17.7882 + 17.7882i) q^{90} +(-3.68633 + 13.7576i) q^{91} +(-1.11842 + 4.17401i) q^{92} +(21.5103 + 12.4190i) q^{93} -20.8007i q^{94} +(-0.146107 + 0.0391492i) q^{95} +(4.56313 - 17.0298i) q^{96} +(7.67392 - 7.67392i) q^{97} +(2.98409 + 5.16860i) q^{98} +(4.11199 + 15.3461i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.24302i 1.58606i −0.609184 0.793029i \(-0.708503\pi\)
0.609184 0.793029i \(-0.291497\pi\)
\(3\) −2.58532 0.692735i −1.49264 0.399951i −0.582011 0.813181i \(-0.697734\pi\)
−0.910627 + 0.413230i \(0.864401\pi\)
\(4\) −3.03116 −1.51558
\(5\) −2.60177 0.697143i −1.16355 0.311772i −0.375167 0.926957i \(-0.622414\pi\)
−0.788382 + 0.615185i \(0.789081\pi\)
\(6\) −1.55382 + 5.79894i −0.634345 + 2.36741i
\(7\) 2.01210 0.539141i 0.760503 0.203776i 0.142331 0.989819i \(-0.454540\pi\)
0.618172 + 0.786043i \(0.287874\pi\)
\(8\) 2.31291i 0.817738i
\(9\) 3.60594 + 2.08189i 1.20198 + 0.693964i
\(10\) −1.56371 + 5.83584i −0.494488 + 1.84546i
\(11\) 2.69807 + 2.69807i 0.813498 + 0.813498i 0.985156 0.171659i \(-0.0549127\pi\)
−0.171659 + 0.985156i \(0.554913\pi\)
\(12\) 7.83652 + 2.09979i 2.26221 + 0.606157i
\(13\) −3.41870 + 5.92137i −0.948178 + 1.64229i −0.198918 + 0.980016i \(0.563743\pi\)
−0.749260 + 0.662276i \(0.769591\pi\)
\(14\) −1.20931 4.51319i −0.323201 1.20620i
\(15\) 6.24349 + 3.60468i 1.61206 + 0.930725i
\(16\) −0.874400 −0.218600
\(17\) 3.91303 1.29930i 0.949050 0.315127i
\(18\) 4.66973 8.08821i 1.10067 1.90641i
\(19\) 0.0486330 0.0280783i 0.0111572 0.00644160i −0.494411 0.869228i \(-0.664616\pi\)
0.505568 + 0.862787i \(0.331283\pi\)
\(20\) 7.88639 + 2.11315i 1.76345 + 0.472515i
\(21\) −5.57541 −1.21666
\(22\) 6.05183 6.05183i 1.29025 1.29025i
\(23\) 0.368975 1.37703i 0.0769367 0.287132i −0.916729 0.399510i \(-0.869180\pi\)
0.993665 + 0.112378i \(0.0358469\pi\)
\(24\) 1.60224 5.97962i 0.327055 1.22059i
\(25\) 1.95310 + 1.12762i 0.390619 + 0.225524i
\(26\) 13.2818 + 7.66824i 2.60477 + 1.50386i
\(27\) −2.20256 2.20256i −0.423883 0.423883i
\(28\) −6.09899 + 1.63422i −1.15260 + 0.308839i
\(29\) 1.14292 + 4.26543i 0.212235 + 0.792070i 0.987122 + 0.159971i \(0.0511399\pi\)
−0.774887 + 0.632099i \(0.782193\pi\)
\(30\) 8.08539 14.0043i 1.47618 2.55683i
\(31\) −8.96370 2.40182i −1.60993 0.431379i −0.661907 0.749586i \(-0.730253\pi\)
−0.948021 + 0.318207i \(0.896919\pi\)
\(32\) 6.58712i 1.16445i
\(33\) −5.10633 8.84442i −0.888898 1.53962i
\(34\) −2.91436 8.77702i −0.499809 1.50525i
\(35\) −5.61089 −0.948414
\(36\) −10.9302 6.31054i −1.82170 1.05176i
\(37\) 0.229473 + 0.0614872i 0.0377252 + 0.0101084i 0.277632 0.960687i \(-0.410450\pi\)
−0.239907 + 0.970796i \(0.577117\pi\)
\(38\) −0.0629803 0.109085i −0.0102167 0.0176959i
\(39\) 12.9404 12.9404i 2.07212 2.07212i
\(40\) 1.61243 6.01767i 0.254948 0.951478i
\(41\) −2.14240 2.14240i −0.334586 0.334586i 0.519739 0.854325i \(-0.326029\pi\)
−0.854325 + 0.519739i \(0.826029\pi\)
\(42\) 12.5058i 1.92969i
\(43\) 4.95254 4.29795i 0.755255 0.655431i
\(44\) −8.17826 8.17826i −1.23292 1.23292i
\(45\) −7.93047 7.93047i −1.18220 1.18220i
\(46\) −3.08872 0.827621i −0.455407 0.122026i
\(47\) 9.27352 1.35268 0.676341 0.736589i \(-0.263565\pi\)
0.676341 + 0.736589i \(0.263565\pi\)
\(48\) 2.26061 + 0.605728i 0.326290 + 0.0874293i
\(49\) −2.30430 + 1.33039i −0.329186 + 0.190055i
\(50\) 2.52928 4.38084i 0.357694 0.619544i
\(51\) −11.0165 + 0.648417i −1.54262 + 0.0907965i
\(52\) 10.3626 17.9486i 1.43704 2.48902i
\(53\) −0.435403 + 0.251380i −0.0598072 + 0.0345297i −0.529605 0.848244i \(-0.677660\pi\)
0.469798 + 0.882774i \(0.344327\pi\)
\(54\) −4.94040 + 4.94040i −0.672303 + 0.672303i
\(55\) −5.13882 8.90070i −0.692918 1.20017i
\(56\) 1.24698 + 4.65381i 0.166635 + 0.621892i
\(57\) −0.145183 + 0.0389016i −0.0192299 + 0.00515265i
\(58\) 9.56746 2.56359i 1.25627 0.336616i
\(59\) 7.77975i 1.01284i 0.862288 + 0.506418i \(0.169031\pi\)
−0.862288 + 0.506418i \(0.830969\pi\)
\(60\) −18.9250 10.9264i −2.44321 1.41059i
\(61\) 9.17494 2.45842i 1.17473 0.314768i 0.381896 0.924205i \(-0.375271\pi\)
0.792834 + 0.609437i \(0.208605\pi\)
\(62\) −5.38733 + 20.1058i −0.684192 + 2.55344i
\(63\) 8.37795 + 2.24487i 1.05552 + 0.282826i
\(64\) 13.0263 1.62828
\(65\) 13.0227 13.0227i 1.61527 1.61527i
\(66\) −19.8382 + 11.4536i −2.44192 + 1.40984i
\(67\) 7.19224 + 12.4573i 0.878672 + 1.52190i 0.852799 + 0.522239i \(0.174903\pi\)
0.0258727 + 0.999665i \(0.491764\pi\)
\(68\) −11.8610 + 3.93838i −1.43836 + 0.477599i
\(69\) −1.90784 + 3.30448i −0.229677 + 0.397813i
\(70\) 12.5854i 1.50424i
\(71\) 0.876641 + 3.27167i 0.104038 + 0.388276i 0.998234 0.0593997i \(-0.0189186\pi\)
−0.894196 + 0.447676i \(0.852252\pi\)
\(72\) −4.81523 + 8.34022i −0.567480 + 0.982904i
\(73\) −0.971054 3.62402i −0.113653 0.424160i 0.885529 0.464584i \(-0.153796\pi\)
−0.999183 + 0.0404235i \(0.987129\pi\)
\(74\) 0.137917 0.514714i 0.0160326 0.0598343i
\(75\) −4.26824 4.26824i −0.492854 0.492854i
\(76\) −0.147414 + 0.0851097i −0.0169096 + 0.00976275i
\(77\) 6.88342 + 3.97414i 0.784438 + 0.452896i
\(78\) −29.0256 29.0256i −3.28651 3.28651i
\(79\) 1.85752 0.497722i 0.208988 0.0559981i −0.152806 0.988256i \(-0.548831\pi\)
0.361794 + 0.932258i \(0.382164\pi\)
\(80\) 2.27499 + 0.609582i 0.254352 + 0.0681533i
\(81\) −2.07713 3.59770i −0.230792 0.399744i
\(82\) −4.80545 + 4.80545i −0.530673 + 0.530673i
\(83\) −12.3029 + 7.10306i −1.35041 + 0.779662i −0.988307 0.152474i \(-0.951276\pi\)
−0.362107 + 0.932136i \(0.617943\pi\)
\(84\) 16.9000 1.84394
\(85\) −11.0866 + 0.652543i −1.20251 + 0.0707782i
\(86\) −9.64040 11.1087i −1.03955 1.19788i
\(87\) 11.8193i 1.26716i
\(88\) −6.24039 + 6.24039i −0.665227 + 0.665227i
\(89\) 4.10771 + 7.11476i 0.435416 + 0.754163i 0.997330 0.0730329i \(-0.0232678\pi\)
−0.561913 + 0.827196i \(0.689934\pi\)
\(90\) −17.7882 + 17.7882i −1.87504 + 1.87504i
\(91\) −3.68633 + 13.7576i −0.386432 + 1.44218i
\(92\) −1.11842 + 4.17401i −0.116604 + 0.435171i
\(93\) 21.5103 + 12.4190i 2.23051 + 1.28779i
\(94\) 20.8007i 2.14543i
\(95\) −0.146107 + 0.0391492i −0.0149902 + 0.00401662i
\(96\) 4.56313 17.0298i 0.465723 1.73810i
\(97\) 7.67392 7.67392i 0.779169 0.779169i −0.200521 0.979689i \(-0.564263\pi\)
0.979689 + 0.200521i \(0.0642634\pi\)
\(98\) 2.98409 + 5.16860i 0.301439 + 0.522108i
\(99\) 4.11199 + 15.3461i 0.413270 + 1.54235i
\(100\) −5.92014 3.41799i −0.592014 0.341799i
\(101\) −5.37445 + 9.30883i −0.534778 + 0.926263i 0.464396 + 0.885628i \(0.346271\pi\)
−0.999174 + 0.0406351i \(0.987062\pi\)
\(102\) 1.45441 + 24.7103i 0.144009 + 2.44669i
\(103\) −6.31445 + 10.9370i −0.622182 + 1.07765i 0.366897 + 0.930262i \(0.380420\pi\)
−0.989079 + 0.147389i \(0.952913\pi\)
\(104\) −13.6956 7.90716i −1.34296 0.775361i
\(105\) 14.5060 + 3.88686i 1.41564 + 0.379319i
\(106\) 0.563852 + 0.976620i 0.0547661 + 0.0948577i
\(107\) 10.4332 10.4332i 1.00861 1.00861i 0.00864830 0.999963i \(-0.497247\pi\)
0.999963 0.00864830i \(-0.00275287\pi\)
\(108\) 6.67631 + 6.67631i 0.642428 + 0.642428i
\(109\) 1.16201 4.33668i 0.111300 0.415379i −0.887683 0.460455i \(-0.847686\pi\)
0.998984 + 0.0450759i \(0.0143530\pi\)
\(110\) −19.9645 + 11.5265i −1.90354 + 1.09901i
\(111\) −0.550669 0.317929i −0.0522672 0.0301765i
\(112\) −1.75938 + 0.471425i −0.166246 + 0.0445454i
\(113\) 5.69266 + 5.69266i 0.535521 + 0.535521i 0.922210 0.386689i \(-0.126381\pi\)
−0.386689 + 0.922210i \(0.626381\pi\)
\(114\) 0.0872573 + 0.325649i 0.00817240 + 0.0304998i
\(115\) −1.91998 + 3.32551i −0.179039 + 0.310105i
\(116\) −3.46436 12.9292i −0.321658 1.20044i
\(117\) −24.6553 + 14.2347i −2.27938 + 1.31600i
\(118\) 17.4502 1.60642
\(119\) 7.17291 4.72400i 0.657540 0.433048i
\(120\) −8.33731 + 14.4406i −0.761089 + 1.31824i
\(121\) 3.55912i 0.323556i
\(122\) −5.51429 20.5796i −0.499240 1.86319i
\(123\) 4.05468 + 7.02291i 0.365598 + 0.633234i
\(124\) 27.1704 + 7.28029i 2.43997 + 0.653789i
\(125\) 5.22775 + 5.22775i 0.467585 + 0.467585i
\(126\) 5.03529 18.7919i 0.448579 1.67412i
\(127\) 19.2587i 1.70894i 0.519505 + 0.854468i \(0.326117\pi\)
−0.519505 + 0.854468i \(0.673883\pi\)
\(128\) 16.0440i 1.41810i
\(129\) −15.7813 + 7.68079i −1.38946 + 0.676256i
\(130\) −29.2103 29.2103i −2.56191 2.56191i
\(131\) 5.68375 5.68375i 0.496591 0.496591i −0.413784 0.910375i \(-0.635793\pi\)
0.910375 + 0.413784i \(0.135793\pi\)
\(132\) 15.4781 + 26.8088i 1.34719 + 2.33341i
\(133\) 0.0827164 0.0827164i 0.00717242 0.00717242i
\(134\) 27.9421 16.1324i 2.41383 1.39362i
\(135\) 4.19507 + 7.26607i 0.361054 + 0.625364i
\(136\) 3.00517 + 9.05049i 0.257691 + 0.776073i
\(137\) 10.3634 0.885402 0.442701 0.896669i \(-0.354020\pi\)
0.442701 + 0.896669i \(0.354020\pi\)
\(138\) 7.41203 + 4.27934i 0.630954 + 0.364281i
\(139\) −3.73862 1.00176i −0.317106 0.0849682i 0.0967556 0.995308i \(-0.469153\pi\)
−0.413861 + 0.910340i \(0.635820\pi\)
\(140\) 17.0075 1.43740
\(141\) −23.9751 6.42410i −2.01906 0.541007i
\(142\) 7.33844 1.96633i 0.615828 0.165011i
\(143\) −25.2001 + 6.75236i −2.10734 + 0.564660i
\(144\) −3.15303 1.82040i −0.262753 0.151700i
\(145\) 11.8945i 0.987781i
\(146\) −8.12877 + 2.17810i −0.672742 + 0.180261i
\(147\) 6.87897 1.84321i 0.567368 0.152026i
\(148\) −0.695570 0.186377i −0.0571755 0.0153201i
\(149\) 3.97820 + 6.89045i 0.325907 + 0.564487i 0.981696 0.190457i \(-0.0609970\pi\)
−0.655789 + 0.754945i \(0.727664\pi\)
\(150\) −9.57377 + 9.57377i −0.781695 + 0.781695i
\(151\) 0.573105i 0.0466386i 0.999728 + 0.0233193i \(0.00742343\pi\)
−0.999728 + 0.0233193i \(0.992577\pi\)
\(152\) 0.0649426 + 0.112484i 0.00526754 + 0.00912364i
\(153\) 16.8152 + 3.46131i 1.35943 + 0.279830i
\(154\) 8.91410 15.4397i 0.718319 1.24416i
\(155\) 21.6471 + 12.4980i 1.73874 + 1.00386i
\(156\) −39.2244 + 39.2244i −3.14046 + 3.14046i
\(157\) 8.04542 13.9351i 0.642094 1.11214i −0.342870 0.939383i \(-0.611399\pi\)
0.984964 0.172757i \(-0.0552676\pi\)
\(158\) −1.11640 4.16647i −0.0888163 0.331467i
\(159\) 1.29980 0.348280i 0.103081 0.0276204i
\(160\) 4.59217 17.1382i 0.363043 1.35489i
\(161\) 2.96966i 0.234042i
\(162\) −8.06972 + 4.65906i −0.634017 + 0.366050i
\(163\) 17.7731 4.76228i 1.39209 0.373010i 0.516594 0.856230i \(-0.327199\pi\)
0.875499 + 0.483220i \(0.160533\pi\)
\(164\) 6.49394 + 6.49394i 0.507092 + 0.507092i
\(165\) 7.11969 + 26.5710i 0.554267 + 2.06855i
\(166\) 15.9323 + 27.5956i 1.23659 + 2.14184i
\(167\) −0.549862 0.147335i −0.0425496 0.0114011i 0.237481 0.971392i \(-0.423678\pi\)
−0.280031 + 0.959991i \(0.590345\pi\)
\(168\) 12.8954i 0.994905i
\(169\) −16.8751 29.2285i −1.29808 2.24835i
\(170\) 1.46367 + 24.8676i 0.112258 + 1.90726i
\(171\) 0.233824 0.0178809
\(172\) −15.0119 + 13.0278i −1.14465 + 0.993357i
\(173\) 3.83987 3.83987i 0.291940 0.291940i −0.545907 0.837846i \(-0.683815\pi\)
0.837846 + 0.545907i \(0.183815\pi\)
\(174\) −26.5109 −2.00978
\(175\) 4.53777 + 1.21589i 0.343023 + 0.0919128i
\(176\) −2.35919 2.35919i −0.177830 0.177830i
\(177\) 5.38931 20.1132i 0.405085 1.51180i
\(178\) 15.9586 9.21369i 1.19615 0.690596i
\(179\) −6.35088 3.66668i −0.474687 0.274061i 0.243513 0.969898i \(-0.421700\pi\)
−0.718200 + 0.695837i \(0.755034\pi\)
\(180\) 24.0385 + 24.0385i 1.79172 + 1.79172i
\(181\) −19.1796 + 5.13917i −1.42561 + 0.381992i −0.887471 0.460863i \(-0.847540\pi\)
−0.538141 + 0.842855i \(0.680873\pi\)
\(182\) 30.8585 + 8.26852i 2.28739 + 0.612903i
\(183\) −25.4232 −1.87934
\(184\) 3.18496 + 0.853407i 0.234798 + 0.0629140i
\(185\) −0.554173 0.319952i −0.0407436 0.0235233i
\(186\) 27.8560 48.2480i 2.04250 3.53772i
\(187\) 14.0632 + 7.05202i 1.02840 + 0.515695i
\(188\) −28.1095 −2.05010
\(189\) −5.61927 3.24428i −0.408741 0.235987i
\(190\) 0.0878125 + 0.327721i 0.00637059 + 0.0237754i
\(191\) 1.44427 + 2.50155i 0.104504 + 0.181006i 0.913535 0.406759i \(-0.133341\pi\)
−0.809031 + 0.587765i \(0.800008\pi\)
\(192\) −33.6771 9.02376i −2.43044 0.651234i
\(193\) −4.40043 4.40043i −0.316750 0.316750i 0.530768 0.847517i \(-0.321904\pi\)
−0.847517 + 0.530768i \(0.821904\pi\)
\(194\) −17.2128 17.2128i −1.23581 1.23581i
\(195\) −42.6893 + 24.6467i −3.05705 + 1.76499i
\(196\) 6.98470 4.03262i 0.498907 0.288044i
\(197\) 13.8157 3.70190i 0.984327 0.263750i 0.269461 0.963011i \(-0.413154\pi\)
0.714866 + 0.699261i \(0.246488\pi\)
\(198\) 34.4218 9.22329i 2.44625 0.655471i
\(199\) −16.5085 + 16.5085i −1.17025 + 1.17025i −0.188104 + 0.982149i \(0.560234\pi\)
−0.982149 + 0.188104i \(0.939766\pi\)
\(200\) −2.60809 + 4.51734i −0.184419 + 0.319424i
\(201\) −9.96464 37.1885i −0.702851 2.62308i
\(202\) 20.8799 + 12.0550i 1.46911 + 0.848189i
\(203\) 4.59933 + 7.96628i 0.322810 + 0.559123i
\(204\) 33.3928 1.96545i 2.33797 0.137609i
\(205\) 4.08048 + 7.06759i 0.284993 + 0.493622i
\(206\) 24.5319 + 14.1635i 1.70922 + 0.986816i
\(207\) 4.19734 4.19734i 0.291735 0.291735i
\(208\) 2.98931 5.17764i 0.207272 0.359005i
\(209\) 0.206972 + 0.0554580i 0.0143166 + 0.00383611i
\(210\) 8.71833 32.5372i 0.601622 2.24528i
\(211\) −1.02996 1.02996i −0.0709051 0.0709051i 0.670765 0.741670i \(-0.265966\pi\)
−0.741670 + 0.670765i \(0.765966\pi\)
\(212\) 1.31978 0.761973i 0.0906425 0.0523325i
\(213\) 9.06561i 0.621165i
\(214\) −23.4018 23.4018i −1.59971 1.59971i
\(215\) −15.8817 + 7.72967i −1.08312 + 0.527159i
\(216\) 5.09433 5.09433i 0.346625 0.346625i
\(217\) −19.3308 −1.31226
\(218\) −9.72729 2.60642i −0.658815 0.176529i
\(219\) 10.0420i 0.678573i
\(220\) 15.5766 + 26.9794i 1.05017 + 1.81895i
\(221\) −5.68386 + 27.6124i −0.382338 + 1.85741i
\(222\) −0.713122 + 1.23516i −0.0478616 + 0.0828987i
\(223\) 15.1601i 1.01519i 0.861595 + 0.507597i \(0.169466\pi\)
−0.861595 + 0.507597i \(0.830534\pi\)
\(224\) 3.55139 + 13.2540i 0.237287 + 0.885567i
\(225\) 4.69517 + 8.13227i 0.313011 + 0.542151i
\(226\) 12.7688 12.7688i 0.849367 0.849367i
\(227\) −2.21929 + 8.28250i −0.147299 + 0.549729i 0.852343 + 0.522983i \(0.175181\pi\)
−0.999642 + 0.0267455i \(0.991486\pi\)
\(228\) 0.440072 0.117917i 0.0291445 0.00780924i
\(229\) −3.54058 2.04416i −0.233968 0.135082i 0.378433 0.925629i \(-0.376463\pi\)
−0.612401 + 0.790547i \(0.709796\pi\)
\(230\) 7.45919 + 4.30657i 0.491844 + 0.283967i
\(231\) −15.0428 15.0428i −0.989746 0.989746i
\(232\) −9.86555 + 2.64347i −0.647705 + 0.173552i
\(233\) 2.90299 + 10.8341i 0.190181 + 0.709766i 0.993462 + 0.114165i \(0.0364194\pi\)
−0.803280 + 0.595601i \(0.796914\pi\)
\(234\) 31.9289 + 55.3024i 2.08726 + 3.61523i
\(235\) −24.1276 6.46497i −1.57391 0.421728i
\(236\) 23.5816i 1.53503i
\(237\) −5.14709 −0.334340
\(238\) −10.5960 16.0890i −0.686840 1.04290i
\(239\) 11.0267 + 19.0988i 0.713257 + 1.23540i 0.963628 + 0.267248i \(0.0861142\pi\)
−0.250370 + 0.968150i \(0.580552\pi\)
\(240\) −5.45931 3.15193i −0.352397 0.203456i
\(241\) −6.93714 25.8898i −0.446860 1.66771i −0.710977 0.703215i \(-0.751747\pi\)
0.264117 0.964491i \(-0.414920\pi\)
\(242\) 7.98319 0.513179
\(243\) 5.29639 + 19.7664i 0.339763 + 1.26801i
\(244\) −27.8107 + 7.45185i −1.78040 + 0.477056i
\(245\) 6.92274 1.85494i 0.442278 0.118508i
\(246\) 15.7525 9.09474i 1.00435 0.579859i
\(247\) 0.383965i 0.0244311i
\(248\) 5.55519 20.7322i 0.352755 1.31650i
\(249\) 36.7274 9.84109i 2.32751 0.623653i
\(250\) 11.7260 11.7260i 0.741616 0.741616i
\(251\) −7.25070 + 12.5586i −0.457660 + 0.792691i −0.998837 0.0482181i \(-0.984646\pi\)
0.541177 + 0.840909i \(0.317979\pi\)
\(252\) −25.3949 6.80454i −1.59973 0.428646i
\(253\) 4.71085 2.71981i 0.296169 0.170993i
\(254\) 43.1978 2.71047
\(255\) 29.1146 + 5.99306i 1.82322 + 0.375300i
\(256\) −9.93454 −0.620909
\(257\) 3.34677i 0.208766i 0.994537 + 0.104383i \(0.0332867\pi\)
−0.994537 + 0.104383i \(0.966713\pi\)
\(258\) 17.2282 + 35.3977i 1.07258 + 2.20377i
\(259\) 0.494874 0.0307500
\(260\) −39.4740 + 39.4740i −2.44807 + 2.44807i
\(261\) −4.75886 + 17.7603i −0.294566 + 1.09934i
\(262\) −12.7488 12.7488i −0.787622 0.787622i
\(263\) 7.87440 4.54629i 0.485556 0.280336i −0.237173 0.971467i \(-0.576221\pi\)
0.722729 + 0.691131i \(0.242887\pi\)
\(264\) 20.4564 11.8105i 1.25900 0.726885i
\(265\) 1.30807 0.350496i 0.0803540 0.0215308i
\(266\) −0.185535 0.185535i −0.0113759 0.0113759i
\(267\) −5.69111 21.2395i −0.348290 1.29984i
\(268\) −21.8008 37.7601i −1.33170 2.30657i
\(269\) −15.1136 + 15.1136i −0.921490 + 0.921490i −0.997135 0.0756452i \(-0.975898\pi\)
0.0756452 + 0.997135i \(0.475898\pi\)
\(270\) 16.2980 9.40964i 0.991863 0.572652i
\(271\) −6.86604 + 11.8923i −0.417082 + 0.722408i −0.995645 0.0932306i \(-0.970281\pi\)
0.578562 + 0.815638i \(0.303614\pi\)
\(272\) −3.42155 + 1.13611i −0.207462 + 0.0688867i
\(273\) 19.0607 33.0141i 1.15361 1.99810i
\(274\) 23.2453i 1.40430i
\(275\) 2.22719 + 8.31198i 0.134304 + 0.501231i
\(276\) 5.78297 10.0164i 0.348094 0.602916i
\(277\) −13.4857 3.61348i −0.810277 0.217113i −0.170186 0.985412i \(-0.554437\pi\)
−0.640091 + 0.768299i \(0.721103\pi\)
\(278\) −2.24697 + 8.38581i −0.134764 + 0.502948i
\(279\) −27.3223 27.3223i −1.63574 1.63574i
\(280\) 12.9775i 0.775554i
\(281\) 15.8659 9.16018i 0.946480 0.546451i 0.0544946 0.998514i \(-0.482645\pi\)
0.891986 + 0.452063i \(0.149312\pi\)
\(282\) −14.4094 + 53.7766i −0.858068 + 3.20235i
\(283\) −13.5382 + 3.62754i −0.804761 + 0.215635i −0.637673 0.770307i \(-0.720103\pi\)
−0.167088 + 0.985942i \(0.553436\pi\)
\(284\) −2.65724 9.91695i −0.157678 0.588463i
\(285\) 0.404853 0.0239814
\(286\) 15.1457 + 56.5245i 0.895584 + 3.34236i
\(287\) −5.46577 3.15567i −0.322634 0.186273i
\(288\) −13.7137 + 23.7528i −0.808086 + 1.39965i
\(289\) 13.6236 10.1684i 0.801390 0.598142i
\(290\) −26.6796 −1.56668
\(291\) −25.1556 + 14.5236i −1.47465 + 0.851387i
\(292\) 2.94342 + 10.9850i 0.172251 + 0.642848i
\(293\) 11.0426 0.645115 0.322557 0.946550i \(-0.395457\pi\)
0.322557 + 0.946550i \(0.395457\pi\)
\(294\) −4.13437 15.4297i −0.241122 0.899878i
\(295\) 5.42360 20.2411i 0.315774 1.17849i
\(296\) −0.142214 + 0.530752i −0.00826605 + 0.0308493i
\(297\) 11.8853i 0.689656i
\(298\) 15.4554 8.92320i 0.895310 0.516907i
\(299\) 6.89251 + 6.89251i 0.398604 + 0.398604i
\(300\) 12.9377 + 12.9377i 0.746959 + 0.746959i
\(301\) 7.64781 11.3180i 0.440812 0.652360i
\(302\) 1.28549 0.0739715
\(303\) 20.3433 20.3433i 1.16869 1.16869i
\(304\) −0.0425247 + 0.0245516i −0.00243896 + 0.00140813i
\(305\) −25.5850 −1.46499
\(306\) 7.76379 37.7168i 0.443826 2.15613i
\(307\) 13.7298 + 23.7807i 0.783599 + 1.35723i 0.929832 + 0.367983i \(0.119952\pi\)
−0.146233 + 0.989250i \(0.546715\pi\)
\(308\) −20.8647 12.0463i −1.18888 0.686399i
\(309\) 23.9013 23.9013i 1.35970 1.35970i
\(310\) 28.0333 48.5550i 1.59218 2.75774i
\(311\) 26.4923 + 7.09858i 1.50224 + 0.402524i 0.913849 0.406054i \(-0.133095\pi\)
0.588390 + 0.808578i \(0.299762\pi\)
\(312\) 29.9300 + 29.9300i 1.69445 + 1.69445i
\(313\) −4.23530 + 15.8063i −0.239393 + 0.893427i 0.736726 + 0.676191i \(0.236371\pi\)
−0.976119 + 0.217236i \(0.930296\pi\)
\(314\) −31.2567 18.0461i −1.76392 1.01840i
\(315\) −20.2325 11.6813i −1.13997 0.658165i
\(316\) −5.63045 + 1.50867i −0.316738 + 0.0848696i
\(317\) 3.99722 + 3.99722i 0.224506 + 0.224506i 0.810393 0.585887i \(-0.199254\pi\)
−0.585887 + 0.810393i \(0.699254\pi\)
\(318\) −0.781200 2.91548i −0.0438075 0.163492i
\(319\) −8.42474 + 14.5921i −0.471695 + 0.816999i
\(320\) −33.8914 9.08118i −1.89459 0.507653i
\(321\) −34.2005 + 19.7457i −1.90889 + 1.10210i
\(322\) −6.66103 −0.371204
\(323\) 0.153820 0.173060i 0.00855879 0.00962932i
\(324\) 6.29611 + 10.9052i 0.349784 + 0.605844i
\(325\) −13.3541 + 7.71000i −0.740753 + 0.427674i
\(326\) −10.6819 39.8654i −0.591616 2.20794i
\(327\) −6.00835 + 10.4068i −0.332262 + 0.575496i
\(328\) 4.95517 4.95517i 0.273604 0.273604i
\(329\) 18.6593 4.99973i 1.02872 0.275644i
\(330\) 59.5995 15.9696i 3.28084 0.879099i
\(331\) −6.78158 3.91535i −0.372749 0.215207i 0.301910 0.953337i \(-0.402376\pi\)
−0.674659 + 0.738130i \(0.735709\pi\)
\(332\) 37.2919 21.5305i 2.04666 1.18164i
\(333\) 0.699458 + 0.699458i 0.0383301 + 0.0383301i
\(334\) −0.330476 + 1.23335i −0.0180828 + 0.0674861i
\(335\) −10.0280 37.4252i −0.547891 2.04476i
\(336\) 4.87514 0.265961
\(337\) −0.836004 3.12001i −0.0455400 0.169958i 0.939410 0.342794i \(-0.111373\pi\)
−0.984951 + 0.172837i \(0.944707\pi\)
\(338\) −65.5602 + 37.8512i −3.56600 + 2.05883i
\(339\) −10.7739 18.6609i −0.585156 1.01352i
\(340\) 33.6053 1.97796i 1.82250 0.107270i
\(341\) −17.7044 30.6649i −0.958747 1.66060i
\(342\) 0.524472i 0.0283602i
\(343\) −14.2299 + 14.2299i −0.768344 + 0.768344i
\(344\) 9.94077 + 11.4548i 0.535971 + 0.617600i
\(345\) 7.26747 7.26747i 0.391267 0.391267i
\(346\) −8.61291 8.61291i −0.463033 0.463033i
\(347\) −7.56634 + 28.2380i −0.406182 + 1.51589i 0.395682 + 0.918387i \(0.370508\pi\)
−0.801865 + 0.597506i \(0.796159\pi\)
\(348\) 35.8260i 1.92048i
\(349\) −1.90862 + 1.10194i −0.102166 + 0.0589857i −0.550213 0.835025i \(-0.685453\pi\)
0.448046 + 0.894010i \(0.352120\pi\)
\(350\) 2.72728 10.1783i 0.145779 0.544055i
\(351\) 20.5721 5.51227i 1.09806 0.294223i
\(352\) −17.7725 + 17.7725i −0.947277 + 0.947277i
\(353\) 4.68927 8.12205i 0.249584 0.432293i −0.713826 0.700323i \(-0.753039\pi\)
0.963411 + 0.268030i \(0.0863727\pi\)
\(354\) −45.1143 12.0883i −2.39780 0.642488i
\(355\) 9.12329i 0.484214i
\(356\) −12.4511 21.5660i −0.659908 1.14299i
\(357\) −21.8168 + 7.24414i −1.15467 + 0.383401i
\(358\) −8.22446 + 14.2452i −0.434676 + 0.752881i
\(359\) −17.2014 9.93125i −0.907856 0.524151i −0.0281155 0.999605i \(-0.508951\pi\)
−0.879741 + 0.475454i \(0.842284\pi\)
\(360\) 18.3425 18.3425i 0.966733 0.966733i
\(361\) −9.49842 + 16.4518i −0.499917 + 0.865882i
\(362\) 11.5273 + 43.0204i 0.605861 + 2.26110i
\(363\) 2.46553 9.20148i 0.129407 0.482953i
\(364\) 11.1738 41.7013i 0.585668 2.18574i
\(365\) 10.1059i 0.528965i
\(366\) 57.0249i 2.98074i
\(367\) −4.27260 + 15.9456i −0.223028 + 0.832352i 0.760157 + 0.649740i \(0.225122\pi\)
−0.983185 + 0.182612i \(0.941545\pi\)
\(368\) −0.322632 + 1.20408i −0.0168184 + 0.0627669i
\(369\) −3.26512 12.1856i −0.169975 0.634357i
\(370\) −0.717660 + 1.24302i −0.0373093 + 0.0646217i
\(371\) −0.740546 + 0.740546i −0.0384472 + 0.0384472i
\(372\) −65.2010 37.6438i −3.38051 1.95174i
\(373\) −14.4873 + 25.0928i −0.750126 + 1.29926i 0.197636 + 0.980276i \(0.436674\pi\)
−0.947761 + 0.318980i \(0.896660\pi\)
\(374\) 15.8179 31.5441i 0.817922 1.63111i
\(375\) −9.89399 17.1369i −0.510923 0.884945i
\(376\) 21.4488i 1.10614i
\(377\) −29.1645 7.81460i −1.50205 0.402472i
\(378\) −7.27701 + 12.6041i −0.374289 + 0.648287i
\(379\) −24.5842 + 24.5842i −1.26281 + 1.26281i −0.313080 + 0.949727i \(0.601361\pi\)
−0.949727 + 0.313080i \(0.898639\pi\)
\(380\) 0.442872 0.118667i 0.0227189 0.00608750i
\(381\) 13.3412 49.7900i 0.683490 2.55082i
\(382\) 5.61105 3.23954i 0.287086 0.165749i
\(383\) 18.3769i 0.939017i −0.882928 0.469508i \(-0.844431\pi\)
0.882928 0.469508i \(-0.155569\pi\)
\(384\) −11.1142 + 41.4789i −0.567172 + 2.11671i
\(385\) −15.1386 15.1386i −0.771532 0.771532i
\(386\) −9.87027 + 9.87027i −0.502384 + 0.502384i
\(387\) 26.8064 5.18751i 1.36265 0.263696i
\(388\) −23.2609 + 23.2609i −1.18089 + 1.18089i
\(389\) 16.0142i 0.811953i −0.913883 0.405977i \(-0.866931\pi\)
0.913883 0.405977i \(-0.133069\pi\)
\(390\) 55.2831 + 95.7532i 2.79937 + 4.84865i
\(391\) −0.345370 5.86779i −0.0174661 0.296747i
\(392\) −3.07707 5.32964i −0.155415 0.269188i
\(393\) −18.6317 + 10.7570i −0.939843 + 0.542618i
\(394\) −8.30346 30.9889i −0.418322 1.56120i
\(395\) −5.17984 −0.260626
\(396\) −12.4641 46.5166i −0.626344 2.33755i
\(397\) 2.65396 9.90470i 0.133198 0.497103i −0.866801 0.498655i \(-0.833827\pi\)
0.999999 + 0.00155235i \(0.000494130\pi\)
\(398\) 37.0289 + 37.0289i 1.85609 + 1.85609i
\(399\) −0.271149 + 0.156548i −0.0135744 + 0.00783720i
\(400\) −1.70779 0.985991i −0.0853893 0.0492995i
\(401\) 29.2330 7.83296i 1.45983 0.391160i 0.560397 0.828224i \(-0.310649\pi\)
0.899430 + 0.437064i \(0.143982\pi\)
\(402\) −83.4148 + 22.3509i −4.16035 + 1.11476i
\(403\) 44.8663 44.8663i 2.23495 2.23495i
\(404\) 16.2908 28.2165i 0.810498 1.40382i
\(405\) 2.89612 + 10.8085i 0.143909 + 0.537077i
\(406\) 17.8686 10.3164i 0.886801 0.511995i
\(407\) 0.453238 + 0.785031i 0.0224662 + 0.0389125i
\(408\) −1.49973 25.4802i −0.0742477 1.26146i
\(409\) 8.08719 0.399886 0.199943 0.979808i \(-0.435924\pi\)
0.199943 + 0.979808i \(0.435924\pi\)
\(410\) 15.8528 9.15261i 0.782913 0.452015i
\(411\) −26.7927 7.17907i −1.32158 0.354118i
\(412\) 19.1401 33.1516i 0.942965 1.63326i
\(413\) 4.19438 + 15.6536i 0.206392 + 0.770265i
\(414\) −9.41474 9.41474i −0.462709 0.462709i
\(415\) 36.9611 9.90371i 1.81435 0.486154i
\(416\) −39.0048 22.5194i −1.91237 1.10411i
\(417\) 8.97159 + 5.17975i 0.439341 + 0.253653i
\(418\) 0.124394 0.464243i 0.00608429 0.0227069i
\(419\) −13.3201 13.3201i −0.650730 0.650730i 0.302439 0.953169i \(-0.402199\pi\)
−0.953169 + 0.302439i \(0.902199\pi\)
\(420\) −43.9699 11.7817i −2.14551 0.574888i
\(421\) −3.58964 + 6.21745i −0.174949 + 0.303020i −0.940143 0.340779i \(-0.889309\pi\)
0.765195 + 0.643799i \(0.222643\pi\)
\(422\) −2.31022 + 2.31022i −0.112460 + 0.112460i
\(423\) 33.4398 + 19.3065i 1.62590 + 0.938712i
\(424\) −0.581420 1.00705i −0.0282362 0.0489066i
\(425\) 9.10764 + 1.87476i 0.441786 + 0.0909390i
\(426\) −20.3344 −0.985204
\(427\) 17.1355 9.89317i 0.829243 0.478764i
\(428\) −31.6245 + 31.6245i −1.52863 + 1.52863i
\(429\) 69.8281 3.37133
\(430\) 17.3378 + 35.6230i 0.836104 + 1.71789i
\(431\) 7.83581 + 7.83581i 0.377438 + 0.377438i 0.870177 0.492739i \(-0.164004\pi\)
−0.492739 + 0.870177i \(0.664004\pi\)
\(432\) 1.92592 + 1.92592i 0.0926608 + 0.0926608i
\(433\) 17.3251 10.0027i 0.832593 0.480698i −0.0221464 0.999755i \(-0.507050\pi\)
0.854740 + 0.519057i \(0.173717\pi\)
\(434\) 43.3594i 2.08132i
\(435\) −8.23971 + 30.7510i −0.395064 + 1.47440i
\(436\) −3.52224 + 13.1452i −0.168685 + 0.629540i
\(437\) −0.0207204 0.0773295i −0.000991190 0.00369917i
\(438\) 22.5244 1.07626
\(439\) 2.10532 + 7.85717i 0.100482 + 0.375002i 0.997793 0.0663948i \(-0.0211497\pi\)
−0.897312 + 0.441397i \(0.854483\pi\)
\(440\) 20.5865 11.8856i 0.981424 0.566625i
\(441\) −11.0789 −0.527566
\(442\) 61.9353 + 12.7490i 2.94596 + 0.606410i
\(443\) −5.17995 + 8.97194i −0.246107 + 0.426270i −0.962442 0.271486i \(-0.912485\pi\)
0.716335 + 0.697756i \(0.245818\pi\)
\(444\) 1.66916 + 0.963692i 0.0792150 + 0.0457348i
\(445\) −5.72733 21.3747i −0.271501 1.01326i
\(446\) 34.0044 1.61016
\(447\) −5.51168 20.5699i −0.260694 0.972922i
\(448\) 26.2102 7.02300i 1.23831 0.331805i
\(449\) 4.12970 15.4122i 0.194892 0.727348i −0.797402 0.603448i \(-0.793793\pi\)
0.992295 0.123900i \(-0.0395403\pi\)
\(450\) 18.2409 10.5314i 0.859883 0.496454i
\(451\) 11.5607i 0.544370i
\(452\) −17.2554 17.2554i −0.811624 0.811624i
\(453\) 0.397010 1.48166i 0.0186531 0.0696145i
\(454\) 18.5779 + 4.97792i 0.871902 + 0.233625i
\(455\) 19.1820 33.2242i 0.899265 1.55757i
\(456\) −0.0899760 0.335795i −0.00421351 0.0157250i
\(457\) 36.1685i 1.69189i 0.533270 + 0.845945i \(0.320963\pi\)
−0.533270 + 0.845945i \(0.679037\pi\)
\(458\) −4.58509 + 7.94162i −0.214247 + 0.371087i
\(459\) −11.4805 5.75690i −0.535863 0.268709i
\(460\) 5.81977 10.0801i 0.271348 0.469989i
\(461\) −12.5584 + 7.25059i −0.584903 + 0.337694i −0.763079 0.646305i \(-0.776313\pi\)
0.178177 + 0.983999i \(0.442980\pi\)
\(462\) −33.7414 + 33.7414i −1.56979 + 1.56979i
\(463\) −14.7677 25.5785i −0.686315 1.18873i −0.973022 0.230714i \(-0.925894\pi\)
0.286707 0.958018i \(-0.407440\pi\)
\(464\) −0.999367 3.72969i −0.0463944 0.173146i
\(465\) −47.3070 47.3070i −2.19381 2.19381i
\(466\) 24.3012 6.51148i 1.12573 0.301638i
\(467\) 18.8333 10.8734i 0.871500 0.503161i 0.00365368 0.999993i \(-0.498837\pi\)
0.867846 + 0.496832i \(0.165504\pi\)
\(468\) 74.7341 43.1477i 3.45458 1.99450i
\(469\) 21.1878 + 21.1878i 0.978360 + 0.978360i
\(470\) −14.5011 + 54.1188i −0.668886 + 2.49631i
\(471\) −30.4533 + 30.4533i −1.40322 + 1.40322i
\(472\) −17.9939 −0.828235
\(473\) 24.9584 + 1.76613i 1.14759 + 0.0812065i
\(474\) 11.5451i 0.530282i
\(475\) 0.126647 0.00581094
\(476\) −21.7422 + 14.3192i −0.996553 + 0.656319i
\(477\) −2.09338 −0.0958495
\(478\) 42.8390 24.7331i 1.95941 1.13127i
\(479\) 33.7419 + 9.04112i 1.54171 + 0.413099i 0.926817 0.375514i \(-0.122534\pi\)
0.614890 + 0.788613i \(0.289200\pi\)
\(480\) −23.7445 + 41.1267i −1.08378 + 1.87717i
\(481\) −1.14859 + 1.14859i −0.0523712 + 0.0523712i
\(482\) −58.0713 + 15.5602i −2.64508 + 0.708746i
\(483\) −2.05719 + 7.67754i −0.0936054 + 0.349340i
\(484\) 10.7883i 0.490375i
\(485\) −25.3156 + 14.6160i −1.14952 + 0.663678i
\(486\) 44.3365 11.8799i 2.01114 0.538884i
\(487\) −23.2830 + 6.23865i −1.05505 + 0.282700i −0.744338 0.667803i \(-0.767235\pi\)
−0.310714 + 0.950503i \(0.600568\pi\)
\(488\) 5.68610 + 21.2208i 0.257398 + 0.960621i
\(489\) −49.2481 −2.22708
\(490\) −4.16068 15.5279i −0.187960 0.701478i
\(491\) −13.8081 7.97210i −0.623150 0.359776i 0.154944 0.987923i \(-0.450480\pi\)
−0.778094 + 0.628147i \(0.783813\pi\)
\(492\) −12.2904 21.2875i −0.554092 0.959716i
\(493\) 10.0143 + 15.2058i 0.451024 + 0.684833i
\(494\) 0.861243 0.0387492
\(495\) 42.7939i 1.92344i
\(496\) 7.83786 + 2.10015i 0.351930 + 0.0942994i
\(497\) 3.52778 + 6.11030i 0.158243 + 0.274084i
\(498\) −22.0738 82.3805i −0.989150 3.69156i
\(499\) 1.87627 0.502745i 0.0839934 0.0225060i −0.216578 0.976265i \(-0.569489\pi\)
0.300571 + 0.953759i \(0.402823\pi\)
\(500\) −15.8461 15.8461i −0.708661 0.708661i
\(501\) 1.31951 + 0.761818i 0.0589512 + 0.0340355i
\(502\) 28.1692 + 16.2635i 1.25725 + 0.725876i
\(503\) 37.6894 10.0988i 1.68049 0.450285i 0.712580 0.701591i \(-0.247527\pi\)
0.967908 + 0.251305i \(0.0808599\pi\)
\(504\) −5.19217 + 19.3775i −0.231278 + 0.863140i
\(505\) 20.4727 20.4727i 0.911023 0.911023i
\(506\) −6.10060 10.5666i −0.271205 0.469741i
\(507\) 23.3799 + 87.2551i 1.03834 + 3.87513i
\(508\) 58.3762i 2.59003i
\(509\) 10.6650 18.4723i 0.472717 0.818770i −0.526795 0.849992i \(-0.676607\pi\)
0.999512 + 0.0312221i \(0.00993991\pi\)
\(510\) 13.4426 65.3047i 0.595248 2.89174i
\(511\) −3.90772 6.76837i −0.172867 0.299415i
\(512\) 9.80459i 0.433306i
\(513\) −0.168961 0.0452730i −0.00745982 0.00199885i
\(514\) 7.50688 0.331114
\(515\) 24.0534 24.0534i 1.05992 1.05992i
\(516\) 47.8355 23.2817i 2.10584 1.02492i
\(517\) 25.0206 + 25.0206i 1.10040 + 1.10040i
\(518\) 1.11001i 0.0487712i
\(519\) −12.5873 + 7.26728i −0.552521 + 0.318998i
\(520\) 30.1204 + 30.1204i 1.32087 + 1.32087i
\(521\) 4.50190 16.8013i 0.197232 0.736079i −0.794446 0.607335i \(-0.792239\pi\)
0.991678 0.128744i \(-0.0410946\pi\)
\(522\) 39.8368 + 10.6742i 1.74361 + 0.467199i
\(523\) 2.46994 4.27806i 0.108003 0.187066i −0.806958 0.590609i \(-0.798888\pi\)
0.914961 + 0.403542i \(0.132221\pi\)
\(524\) −17.2283 + 17.2283i −0.752623 + 0.752623i
\(525\) −10.8893 6.28695i −0.475249 0.274385i
\(526\) −10.1974 17.6625i −0.444629 0.770120i
\(527\) −38.1959 + 2.24816i −1.66384 + 0.0979313i
\(528\) 4.46497 + 7.73356i 0.194313 + 0.336560i
\(529\) 18.1585 + 10.4838i 0.789500 + 0.455818i
\(530\) −0.786171 2.93403i −0.0341491 0.127446i
\(531\) −16.1966 + 28.0533i −0.702872 + 1.21741i
\(532\) −0.250726 + 0.250726i −0.0108704 + 0.0108704i
\(533\) 20.0101 5.36170i 0.866736 0.232241i
\(534\) −47.6408 + 12.7653i −2.06162 + 0.552409i
\(535\) −34.4181 + 19.8713i −1.48802 + 0.859112i
\(536\) −28.8127 + 16.6350i −1.24452 + 0.718523i
\(537\) 13.8790 + 13.8790i 0.598925 + 0.598925i
\(538\) 33.9001 + 33.9001i 1.46154 + 1.46154i
\(539\) −9.80663 2.62768i −0.422401 0.113182i
\(540\) −12.7159 22.0246i −0.547206 0.947788i
\(541\) 3.48417 + 13.0031i 0.149796 + 0.559047i 0.999495 + 0.0317785i \(0.0101171\pi\)
−0.849699 + 0.527268i \(0.823216\pi\)
\(542\) 26.6748 + 15.4007i 1.14578 + 0.661516i
\(543\) 53.1457 2.28070
\(544\) 8.55865 + 25.7756i 0.366949 + 1.10512i
\(545\) −6.04658 + 10.4730i −0.259007 + 0.448613i
\(546\) −74.0514 42.7536i −3.16911 1.82968i
\(547\) 22.2893 + 5.97239i 0.953020 + 0.255361i 0.701643 0.712528i \(-0.252450\pi\)
0.251377 + 0.967889i \(0.419117\pi\)
\(548\) −31.4130 −1.34190
\(549\) 38.2024 + 10.2363i 1.63044 + 0.436875i
\(550\) 18.6440 4.99563i 0.794981 0.213015i
\(551\) 0.175349 + 0.175349i 0.00747014 + 0.00747014i
\(552\) −7.64297 4.41267i −0.325306 0.187816i
\(553\) 3.46919 2.00293i 0.147525 0.0851735i
\(554\) −8.10513 + 30.2487i −0.344354 + 1.28515i
\(555\) 1.21107 + 1.21107i 0.0514072 + 0.0514072i
\(556\) 11.3323 + 3.03649i 0.480599 + 0.128776i
\(557\) −38.7814 −1.64322 −0.821610 0.570050i \(-0.806924\pi\)
−0.821610 + 0.570050i \(0.806924\pi\)
\(558\) −61.2845 + 61.2845i −2.59438 + 2.59438i
\(559\) 8.51848 + 44.0192i 0.360293 + 1.86181i
\(560\) 4.90616 0.207323
\(561\) −31.4728 27.9738i −1.32878 1.18106i
\(562\) −20.5465 35.5876i −0.866702 1.50117i
\(563\) 10.7730i 0.454027i 0.973892 + 0.227013i \(0.0728961\pi\)
−0.973892 + 0.227013i \(0.927104\pi\)
\(564\) 72.6722 + 19.4724i 3.06005 + 0.819938i
\(565\) −10.8424 18.7796i −0.456144 0.790065i
\(566\) 8.13667 + 30.3665i 0.342010 + 1.27640i
\(567\) −6.11906 6.11906i −0.256977 0.256977i
\(568\) −7.56708 + 2.02759i −0.317508 + 0.0850759i
\(569\) −15.4971 + 8.94723i −0.649670 + 0.375087i −0.788330 0.615253i \(-0.789054\pi\)
0.138660 + 0.990340i \(0.455721\pi\)
\(570\) 0.908095i 0.0380359i
\(571\) −4.35993 + 16.2715i −0.182458 + 0.680941i 0.812703 + 0.582678i \(0.197995\pi\)
−0.995161 + 0.0982627i \(0.968671\pi\)
\(572\) 76.3856 20.4675i 3.19384 0.855787i
\(573\) −2.00100 7.46783i −0.0835929 0.311973i
\(574\) −7.07823 + 12.2599i −0.295440 + 0.511717i
\(575\) 2.27342 2.27342i 0.0948080 0.0948080i
\(576\) 46.9720 + 27.1193i 1.95717 + 1.12997i
\(577\) 10.8886 18.8596i 0.453297 0.785134i −0.545291 0.838247i \(-0.683581\pi\)
0.998589 + 0.0531125i \(0.0169142\pi\)
\(578\) −22.8080 30.5581i −0.948687 1.27105i
\(579\) 8.32820 + 14.4249i 0.346108 + 0.599477i
\(580\) 36.0540i 1.49706i
\(581\) −20.9251 + 20.9251i −0.868118 + 0.868118i
\(582\) 32.5767 + 56.4246i 1.35035 + 2.33887i
\(583\) −1.85299 0.496506i −0.0767429 0.0205632i
\(584\) 8.38205 2.24596i 0.346852 0.0929386i
\(585\) 74.0712 19.8473i 3.06247 0.820585i
\(586\) 24.7688i 1.02319i
\(587\) −15.9316 9.19813i −0.657569 0.379647i 0.133781 0.991011i \(-0.457288\pi\)
−0.791350 + 0.611363i \(0.790621\pi\)
\(588\) −20.8512 + 5.58707i −0.859891 + 0.230407i
\(589\) −0.503371 + 0.134878i −0.0207410 + 0.00555754i
\(590\) −45.4014 12.1653i −1.86915 0.500836i
\(591\) −38.2825 −1.57473
\(592\) −0.200651 0.0537644i −0.00824673 0.00220970i
\(593\) −15.0378 8.68208i −0.617529 0.356530i 0.158378 0.987379i \(-0.449374\pi\)
−0.775906 + 0.630848i \(0.782707\pi\)
\(594\) −26.6590 −1.09383
\(595\) −21.9556 + 7.29023i −0.900092 + 0.298870i
\(596\) −12.0586 20.8860i −0.493938 0.855525i
\(597\) 54.1157 31.2437i 2.21481 1.27872i
\(598\) 15.4601 15.4601i 0.632210 0.632210i
\(599\) 3.31628 + 5.74397i 0.135500 + 0.234692i 0.925788 0.378043i \(-0.123403\pi\)
−0.790289 + 0.612735i \(0.790069\pi\)
\(600\) 9.87206 9.87206i 0.403025 0.403025i
\(601\) −2.77847 2.77847i −0.113336 0.113336i 0.648164 0.761501i \(-0.275537\pi\)
−0.761501 + 0.648164i \(0.775537\pi\)
\(602\) −25.3866 17.1542i −1.03468 0.699154i
\(603\) 59.8938i 2.43907i
\(604\) 1.73717i 0.0706844i
\(605\) 2.48122 9.26003i 0.100876 0.376474i
\(606\) −45.6304 45.6304i −1.85361 1.85361i
\(607\) −12.8730 3.44930i −0.522497 0.140003i −0.0120758 0.999927i \(-0.503844\pi\)
−0.510421 + 0.859924i \(0.670511\pi\)
\(608\) 0.184955 + 0.320351i 0.00750092 + 0.0129920i
\(609\) −6.37224 23.7815i −0.258216 0.963676i
\(610\) 57.3877i 2.32356i
\(611\) −31.7034 + 54.9119i −1.28258 + 2.22150i
\(612\) −50.9694 10.4918i −2.06032 0.424104i
\(613\) 36.2427 1.46383 0.731914 0.681397i \(-0.238627\pi\)
0.731914 + 0.681397i \(0.238627\pi\)
\(614\) 53.3406 30.7962i 2.15265 1.24283i
\(615\) −5.65338 21.0987i −0.227966 0.850782i
\(616\) −9.19184 + 15.9207i −0.370350 + 0.641465i
\(617\) −7.56582 28.2360i −0.304589 1.13674i −0.933299 0.359101i \(-0.883083\pi\)
0.628710 0.777640i \(-0.283583\pi\)
\(618\) −53.6112 53.6112i −2.15656 2.15656i
\(619\) −2.52659 + 0.676998i −0.101552 + 0.0272109i −0.309237 0.950985i \(-0.600074\pi\)
0.207685 + 0.978196i \(0.433407\pi\)
\(620\) −65.6158 37.8833i −2.63520 1.52143i
\(621\) −3.84569 + 2.22031i −0.154322 + 0.0890981i
\(622\) 15.9223 59.4228i 0.638426 2.38264i
\(623\) 12.1010 + 12.1010i 0.484816 + 0.484816i
\(624\) −11.3151 + 11.3151i −0.452966 + 0.452966i
\(625\) −15.5950 27.0114i −0.623802 1.08046i
\(626\) 35.4540 + 9.49987i 1.41703 + 0.379691i
\(627\) −0.496672 0.286754i −0.0198352 0.0114518i
\(628\) −24.3869 + 42.2394i −0.973145 + 1.68554i
\(629\) 0.977827 0.0575535i 0.0389885 0.00229481i
\(630\) −26.2014 + 45.3821i −1.04389 + 1.80807i
\(631\) 29.2845 + 16.9074i 1.16580 + 0.673073i 0.952686 0.303955i \(-0.0983072\pi\)
0.213110 + 0.977028i \(0.431641\pi\)
\(632\) 1.15119 + 4.29629i 0.0457918 + 0.170897i
\(633\) 1.94928 + 3.37626i 0.0774770 + 0.134194i
\(634\) 8.96585 8.96585i 0.356079 0.356079i
\(635\) 13.4261 50.1069i 0.532798 1.98843i
\(636\) −3.93989 + 1.05569i −0.156227 + 0.0418609i
\(637\) 18.1928i 0.720826i
\(638\) 32.7304 + 18.8969i 1.29581 + 0.748135i
\(639\) −3.65014 + 13.6225i −0.144397 + 0.538899i
\(640\) −11.1850 + 41.7429i −0.442125 + 1.65003i
\(641\) −12.3439 + 12.3439i −0.487556 + 0.487556i −0.907534 0.419978i \(-0.862038\pi\)
0.419978 + 0.907534i \(0.362038\pi\)
\(642\) 44.2900 + 76.7125i 1.74799 + 3.02760i
\(643\) −12.1828 + 12.1828i −0.480443 + 0.480443i −0.905273 0.424830i \(-0.860334\pi\)
0.424830 + 0.905273i \(0.360334\pi\)
\(644\) 9.00152i 0.354709i
\(645\) 46.4139 8.98189i 1.82755 0.353661i
\(646\) −0.388178 0.345023i −0.0152727 0.0135747i
\(647\) −28.5963 −1.12424 −0.562119 0.827057i \(-0.690014\pi\)
−0.562119 + 0.827057i \(0.690014\pi\)
\(648\) 8.32115 4.80422i 0.326886 0.188728i
\(649\) −20.9903 + 20.9903i −0.823940 + 0.823940i
\(650\) 17.2937 + 29.9536i 0.678315 + 1.17488i
\(651\) 49.9764 + 13.3911i 1.95873 + 0.524840i
\(652\) −53.8729 + 14.4352i −2.10983 + 0.565327i
\(653\) −8.71909 8.71909i −0.341204 0.341204i 0.515616 0.856820i \(-0.327563\pi\)
−0.856820 + 0.515616i \(0.827563\pi\)
\(654\) 23.3426 + 13.4769i 0.912769 + 0.526987i
\(655\) −18.7502 + 10.8254i −0.732631 + 0.422985i
\(656\) 1.87331 + 1.87331i 0.0731405 + 0.0731405i
\(657\) 4.04326 15.0896i 0.157743 0.588703i
\(658\) −11.2145 41.8532i −0.437188 1.63161i
\(659\) 17.8062 30.8413i 0.693633 1.20141i −0.277007 0.960868i \(-0.589342\pi\)
0.970639 0.240539i \(-0.0773242\pi\)
\(660\) −21.5809 80.5410i −0.840035 3.13505i
\(661\) 5.96711i 0.232094i 0.993244 + 0.116047i \(0.0370223\pi\)
−0.993244 + 0.116047i \(0.962978\pi\)
\(662\) −8.78222 + 15.2112i −0.341331 + 0.591202i
\(663\) 33.8227 67.4497i 1.31357 2.61953i
\(664\) −16.4287 28.4554i −0.637559 1.10428i
\(665\) −0.272875 + 0.157544i −0.0105816 + 0.00610930i
\(666\) 1.56890 1.56890i 0.0607937 0.0607937i
\(667\) 6.29535 0.243757
\(668\) 1.66672 + 0.446596i 0.0644872 + 0.0172793i
\(669\) 10.5019 39.1937i 0.406028 1.51532i
\(670\) −83.9456 + 22.4931i −3.24310 + 0.868986i
\(671\) 31.3876 + 18.1216i 1.21170 + 0.699577i
\(672\) 36.7259i 1.41673i
\(673\) −25.5123 + 6.83600i −0.983427 + 0.263509i −0.714487 0.699648i \(-0.753340\pi\)
−0.268940 + 0.963157i \(0.586673\pi\)
\(674\) −6.99825 + 1.87518i −0.269563 + 0.0722291i
\(675\) −1.81816 6.78547i −0.0699810 0.261173i
\(676\) 51.1510 + 88.5961i 1.96735 + 3.40754i
\(677\) 11.0888 11.0888i 0.426178 0.426178i −0.461146 0.887324i \(-0.652562\pi\)
0.887324 + 0.461146i \(0.152562\pi\)
\(678\) −41.8568 + 24.1660i −1.60750 + 0.928091i
\(679\) 11.3034 19.5780i 0.433784 0.751336i
\(680\) −1.50927 25.6424i −0.0578780 0.983340i
\(681\) 11.4752 19.8756i 0.439729 0.761633i
\(682\) −68.7822 + 39.7114i −2.63381 + 1.52063i
\(683\) −35.1364 9.41477i −1.34446 0.360246i −0.486371 0.873752i \(-0.661680\pi\)
−0.858086 + 0.513506i \(0.828346\pi\)
\(684\) −0.708756 −0.0271000
\(685\) −26.9632 7.22476i −1.03021 0.276044i
\(686\) 31.9181 + 31.9181i 1.21864 + 1.21864i
\(687\) 7.73750 + 7.73750i 0.295204 + 0.295204i
\(688\) −4.33050 + 3.75812i −0.165099 + 0.143277i
\(689\) 3.43758i 0.130961i
\(690\) −16.3011 16.3011i −0.620573 0.620573i
\(691\) 4.28493 15.9916i 0.163006 0.608348i −0.835280 0.549825i \(-0.814694\pi\)
0.998286 0.0585229i \(-0.0186391\pi\)
\(692\) −11.6392 + 11.6392i −0.442457 + 0.442457i
\(693\) 16.5475 + 28.6611i 0.628586 + 1.08874i
\(694\) 63.3384 + 16.9715i 2.40429 + 0.644229i
\(695\) 9.02868 + 5.21271i 0.342477 + 0.197729i
\(696\) 27.3369 1.03620
\(697\) −11.1669 5.59965i −0.422976 0.212102i
\(698\) 2.47169 + 4.28109i 0.0935548 + 0.162042i
\(699\) 30.0207i 1.13549i
\(700\) −13.7547 3.68556i −0.519879 0.139301i
\(701\) −9.66611 + 16.7422i −0.365084 + 0.632344i −0.988790 0.149315i \(-0.952293\pi\)
0.623706 + 0.781659i \(0.285626\pi\)
\(702\) −12.3642 46.1437i −0.466655 1.74158i
\(703\) 0.0128864 0.00345291i 0.000486021 0.000130229i
\(704\) 35.1457 + 35.1457i 1.32461 + 1.32461i
\(705\) 57.8992 + 33.4281i 2.18061 + 1.25898i
\(706\) −18.2179 10.5181i −0.685641 0.395855i
\(707\) −5.79517 + 21.6279i −0.217950 + 0.813400i
\(708\) −16.3358 + 60.9662i −0.613938 + 2.29125i
\(709\) −32.6321 + 32.6321i −1.22552 + 1.22552i −0.259882 + 0.965640i \(0.583684\pi\)
−0.965640 + 0.259882i \(0.916316\pi\)
\(710\) −20.4638 −0.767992
\(711\) 7.73433 + 2.07241i 0.290060 + 0.0777213i
\(712\) −16.4558 + 9.50077i −0.616708 + 0.356056i
\(713\) −6.61477 + 11.4571i −0.247725 + 0.429073i
\(714\) 16.2488 + 48.9356i 0.608095 + 1.83137i
\(715\) 70.2724 2.62804
\(716\) 19.2505 + 11.1143i 0.719426 + 0.415361i
\(717\) −15.2772 57.0151i −0.570536 2.12927i
\(718\) −22.2760 + 38.5832i −0.831334 + 1.43991i
\(719\) 19.5348 + 5.23433i 0.728524 + 0.195207i 0.603972 0.797006i \(-0.293584\pi\)
0.124552 + 0.992213i \(0.460251\pi\)
\(720\) 6.93440 + 6.93440i 0.258430 + 0.258430i
\(721\) −6.80876 + 25.4106i −0.253571 + 0.946342i
\(722\) 36.9017 + 21.3052i 1.37334 + 0.792897i
\(723\) 71.7390i 2.66800i
\(724\) 58.1365 15.5776i 2.16063 0.578938i
\(725\) −2.57756 + 9.61957i −0.0957280 + 0.357262i
\(726\) −20.6391 5.53024i −0.765991 0.205247i
\(727\) 46.3649 1.71958 0.859789 0.510650i \(-0.170595\pi\)
0.859789 + 0.510650i \(0.170595\pi\)
\(728\) −31.8200 8.52614i −1.17933 0.316000i
\(729\) 42.3087i 1.56699i
\(730\) 22.6677 0.838969
\(731\) 13.7951 23.2528i 0.510231 0.860038i
\(732\) 77.0618 2.84828
\(733\) 22.6199i 0.835484i 0.908566 + 0.417742i \(0.137178\pi\)
−0.908566 + 0.417742i \(0.862822\pi\)
\(734\) 35.7663 + 9.58355i 1.32016 + 0.353735i
\(735\) −19.1825 −0.707558
\(736\) 9.07070 + 2.43049i 0.334350 + 0.0895889i
\(737\) −14.2055 + 53.0158i −0.523268 + 1.95286i
\(738\) −27.3326 + 7.32375i −1.00613 + 0.269591i
\(739\) 37.4896i 1.37908i −0.724249 0.689538i \(-0.757814\pi\)
0.724249 0.689538i \(-0.242186\pi\)
\(740\) 1.67978 + 0.969824i 0.0617501 + 0.0356514i
\(741\) 0.265986 0.992675i 0.00977125 0.0364668i
\(742\) 1.66106 + 1.66106i 0.0609795 + 0.0609795i
\(743\) 17.6125 + 4.71925i 0.646139 + 0.173132i 0.566982 0.823730i \(-0.308111\pi\)
0.0791562 + 0.996862i \(0.474777\pi\)
\(744\) −28.7239 + 49.7513i −1.05307 + 1.82397i
\(745\) −5.54675 20.7008i −0.203217 0.758418i
\(746\) 56.2837 + 32.4954i 2.06069 + 1.18974i
\(747\) −59.1512 −2.16423
\(748\) −42.6278 21.3758i −1.55863 0.781576i
\(749\) 15.3676 26.6175i 0.561521 0.972582i
\(750\) −38.4385 + 22.1925i −1.40357 + 0.810354i
\(751\) 9.10551 + 2.43981i 0.332265 + 0.0890301i 0.421095 0.907017i \(-0.361646\pi\)
−0.0888297 + 0.996047i \(0.528313\pi\)
\(752\) −8.10876 −0.295696
\(753\) 27.4452 27.4452i 1.00016 1.00016i
\(754\) −17.5283 + 65.4166i −0.638344 + 2.38233i
\(755\) 0.399536 1.49109i 0.0145406 0.0542663i
\(756\) 17.0329 + 9.83394i 0.619480 + 0.357657i
\(757\) −40.8175 23.5660i −1.48354 0.856521i −0.483714