Properties

Label 273.2.br.b.257.9
Level $273$
Weight $2$
Character 273.257
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 257.9
Character \(\chi\) \(=\) 273.257
Dual form 273.2.br.b.17.9

$q$-expansion

\(f(q)\) \(=\) \(q-1.52138 q^{2} +(-1.64324 - 0.547514i) q^{3} +0.314598 q^{4} +(1.84777 + 1.06681i) q^{5} +(2.49999 + 0.832977i) q^{6} +(-2.46764 - 0.954340i) q^{7} +2.56414 q^{8} +(2.40046 + 1.79939i) q^{9} +O(q^{10})\) \(q-1.52138 q^{2} +(-1.64324 - 0.547514i) q^{3} +0.314598 q^{4} +(1.84777 + 1.06681i) q^{5} +(2.49999 + 0.832977i) q^{6} +(-2.46764 - 0.954340i) q^{7} +2.56414 q^{8} +(2.40046 + 1.79939i) q^{9} +(-2.81117 - 1.62303i) q^{10} +(-0.983176 + 1.70291i) q^{11} +(-0.516959 - 0.172247i) q^{12} +(1.00389 - 3.46298i) q^{13} +(3.75422 + 1.45191i) q^{14} +(-2.45224 - 2.76471i) q^{15} -4.53022 q^{16} -2.98019 q^{17} +(-3.65201 - 2.73756i) q^{18} +(-1.80461 - 3.12568i) q^{19} +(0.581306 + 0.335617i) q^{20} +(3.53240 + 2.91927i) q^{21} +(1.49578 - 2.59078i) q^{22} -8.06678i q^{23} +(-4.21349 - 1.40390i) q^{24} +(-0.223820 - 0.387667i) q^{25} +(-1.52730 + 5.26850i) q^{26} +(-2.95933 - 4.27111i) q^{27} +(-0.776314 - 0.300234i) q^{28} +(-5.67051 + 3.27387i) q^{29} +(3.73078 + 4.20617i) q^{30} +(-2.68142 - 4.64436i) q^{31} +1.76392 q^{32} +(2.54796 - 2.25998i) q^{33} +4.53400 q^{34} +(-3.54153 - 4.39591i) q^{35} +(0.755179 + 0.566085i) q^{36} -3.66472i q^{37} +(2.74550 + 4.75534i) q^{38} +(-3.54566 + 5.14084i) q^{39} +(4.73795 + 2.73546i) q^{40} +(1.26089 - 0.727976i) q^{41} +(-5.37412 - 4.44133i) q^{42} +(0.823833 - 1.42692i) q^{43} +(-0.309305 + 0.535733i) q^{44} +(2.51589 + 5.88571i) q^{45} +12.2726i q^{46} +(7.14926 + 4.12763i) q^{47} +(7.44423 + 2.48036i) q^{48} +(5.17847 + 4.70993i) q^{49} +(0.340515 + 0.589789i) q^{50} +(4.89715 + 1.63169i) q^{51} +(0.315823 - 1.08945i) q^{52} +(-0.312061 + 0.180168i) q^{53} +(4.50226 + 6.49798i) q^{54} +(-3.63338 + 2.09773i) q^{55} +(-6.32736 - 2.44706i) q^{56} +(1.25405 + 6.12428i) q^{57} +(8.62700 - 4.98080i) q^{58} -12.2757i q^{59} +(-0.771469 - 0.869772i) q^{60} +(-1.10960 + 0.640630i) q^{61} +(4.07946 + 7.06584i) q^{62} +(-4.20623 - 6.73110i) q^{63} +6.37686 q^{64} +(5.54932 - 5.32783i) q^{65} +(-3.87642 + 3.43830i) q^{66} +(-5.03764 - 2.90848i) q^{67} -0.937561 q^{68} +(-4.41668 + 13.2556i) q^{69} +(5.38802 + 6.68786i) q^{70} +(-6.36642 + 11.0270i) q^{71} +(6.15510 + 4.61388i) q^{72} +(-1.00356 - 1.73822i) q^{73} +5.57543i q^{74} +(0.155536 + 0.759573i) q^{75} +(-0.567727 - 0.983332i) q^{76} +(4.05128 - 3.26388i) q^{77} +(5.39430 - 7.82118i) q^{78} +(-3.35196 + 5.80576i) q^{79} +(-8.37083 - 4.83290i) q^{80} +(2.52439 + 8.63872i) q^{81} +(-1.91830 + 1.10753i) q^{82} +0.817821i q^{83} +(1.11129 + 0.918398i) q^{84} +(-5.50671 - 3.17930i) q^{85} +(-1.25336 + 2.17089i) q^{86} +(11.1105 - 2.27506i) q^{87} +(-2.52100 + 4.36650i) q^{88} -15.4001i q^{89} +(-3.82763 - 8.95440i) q^{90} +(-5.78210 + 7.58731i) q^{91} -2.53779i q^{92} +(1.86336 + 9.09990i) q^{93} +(-10.8767 - 6.27969i) q^{94} -7.70073i q^{95} +(-2.89854 - 0.965771i) q^{96} +(9.24604 - 16.0146i) q^{97} +(-7.87842 - 7.16560i) q^{98} +(-5.42427 + 2.31865i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 6 q^{3} + 56 q^{4} - 6 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 6 q^{3} + 56 q^{4} - 6 q^{7} - 6 q^{10} - 6 q^{12} - 12 q^{13} - 9 q^{15} + 16 q^{16} - 36 q^{18} - 12 q^{21} - 18 q^{22} - 12 q^{24} + 16 q^{25} + 18 q^{28} - 22 q^{30} + 36 q^{31} - 15 q^{33} - 24 q^{34} - 4 q^{36} - 9 q^{39} - 54 q^{40} + 39 q^{42} - 12 q^{43} - 6 q^{45} - 54 q^{48} + 2 q^{49} - 14 q^{51} - 48 q^{52} + 18 q^{54} + 42 q^{55} + 30 q^{58} - 9 q^{60} + 6 q^{61} + 3 q^{63} - 28 q^{64} - 9 q^{66} + 48 q^{67} - 39 q^{69} - 84 q^{70} - 123 q^{72} - 12 q^{73} + 18 q^{76} - 11 q^{78} + 4 q^{79} - 66 q^{82} + 27 q^{84} - 30 q^{85} - 30 q^{88} + 130 q^{91} + 84 q^{94} - 24 q^{96} - 12 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.52138 −1.07578 −0.537889 0.843016i \(-0.680778\pi\)
−0.537889 + 0.843016i \(0.680778\pi\)
\(3\) −1.64324 0.547514i −0.948723 0.316107i
\(4\) 0.314598 0.157299
\(5\) 1.84777 + 1.06681i 0.826350 + 0.477093i 0.852601 0.522562i \(-0.175024\pi\)
−0.0262514 + 0.999655i \(0.508357\pi\)
\(6\) 2.49999 + 0.832977i 1.02062 + 0.340061i
\(7\) −2.46764 0.954340i −0.932679 0.360707i
\(8\) 2.56414 0.906559
\(9\) 2.40046 + 1.79939i 0.800152 + 0.599797i
\(10\) −2.81117 1.62303i −0.888969 0.513247i
\(11\) −0.983176 + 1.70291i −0.296439 + 0.513447i −0.975319 0.220802i \(-0.929132\pi\)
0.678880 + 0.734249i \(0.262466\pi\)
\(12\) −0.516959 0.172247i −0.149233 0.0497234i
\(13\) 1.00389 3.46298i 0.278430 0.960456i
\(14\) 3.75422 + 1.45191i 1.00336 + 0.388041i
\(15\) −2.45224 2.76471i −0.633165 0.713845i
\(16\) −4.53022 −1.13256
\(17\) −2.98019 −0.722802 −0.361401 0.932411i \(-0.617701\pi\)
−0.361401 + 0.932411i \(0.617701\pi\)
\(18\) −3.65201 2.73756i −0.860787 0.645248i
\(19\) −1.80461 3.12568i −0.414006 0.717079i 0.581318 0.813677i \(-0.302537\pi\)
−0.995324 + 0.0965974i \(0.969204\pi\)
\(20\) 0.581306 + 0.335617i 0.129984 + 0.0750463i
\(21\) 3.53240 + 2.91927i 0.770833 + 0.637038i
\(22\) 1.49578 2.59078i 0.318902 0.552355i
\(23\) 8.06678i 1.68204i −0.541004 0.841020i \(-0.681955\pi\)
0.541004 0.841020i \(-0.318045\pi\)
\(24\) −4.21349 1.40390i −0.860074 0.286570i
\(25\) −0.223820 0.387667i −0.0447639 0.0775334i
\(26\) −1.52730 + 5.26850i −0.299529 + 1.03324i
\(27\) −2.95933 4.27111i −0.569523 0.821975i
\(28\) −0.776314 0.300234i −0.146710 0.0567388i
\(29\) −5.67051 + 3.27387i −1.05299 + 0.607942i −0.923484 0.383637i \(-0.874672\pi\)
−0.129503 + 0.991579i \(0.541338\pi\)
\(30\) 3.73078 + 4.20617i 0.681145 + 0.767939i
\(31\) −2.68142 4.64436i −0.481598 0.834152i 0.518179 0.855272i \(-0.326610\pi\)
−0.999777 + 0.0211203i \(0.993277\pi\)
\(32\) 1.76392 0.311820
\(33\) 2.54796 2.25998i 0.443543 0.393413i
\(34\) 4.53400 0.777574
\(35\) −3.54153 4.39591i −0.598629 0.743045i
\(36\) 0.755179 + 0.566085i 0.125863 + 0.0943475i
\(37\) 3.66472i 0.602476i −0.953549 0.301238i \(-0.902600\pi\)
0.953549 0.301238i \(-0.0973998\pi\)
\(38\) 2.74550 + 4.75534i 0.445379 + 0.771418i
\(39\) −3.54566 + 5.14084i −0.567760 + 0.823194i
\(40\) 4.73795 + 2.73546i 0.749135 + 0.432513i
\(41\) 1.26089 0.727976i 0.196918 0.113691i −0.398299 0.917256i \(-0.630399\pi\)
0.595217 + 0.803565i \(0.297066\pi\)
\(42\) −5.37412 4.44133i −0.829245 0.685311i
\(43\) 0.823833 1.42692i 0.125633 0.217603i −0.796347 0.604840i \(-0.793237\pi\)
0.921980 + 0.387237i \(0.126570\pi\)
\(44\) −0.309305 + 0.535733i −0.0466295 + 0.0807647i
\(45\) 2.51589 + 5.88571i 0.375047 + 0.877389i
\(46\) 12.2726i 1.80950i
\(47\) 7.14926 + 4.12763i 1.04283 + 0.602076i 0.920633 0.390430i \(-0.127674\pi\)
0.122194 + 0.992506i \(0.461007\pi\)
\(48\) 7.44423 + 2.48036i 1.07448 + 0.358009i
\(49\) 5.17847 + 4.70993i 0.739781 + 0.672847i
\(50\) 0.340515 + 0.589789i 0.0481560 + 0.0834087i
\(51\) 4.89715 + 1.63169i 0.685739 + 0.228483i
\(52\) 0.315823 1.08945i 0.0437968 0.151079i
\(53\) −0.312061 + 0.180168i −0.0428648 + 0.0247480i −0.521279 0.853386i \(-0.674545\pi\)
0.478414 + 0.878134i \(0.341212\pi\)
\(54\) 4.50226 + 6.49798i 0.612681 + 0.884263i
\(55\) −3.63338 + 2.09773i −0.489924 + 0.282858i
\(56\) −6.32736 2.44706i −0.845529 0.327002i
\(57\) 1.25405 + 6.12428i 0.166103 + 0.811180i
\(58\) 8.62700 4.98080i 1.13278 0.654011i
\(59\) 12.2757i 1.59816i −0.601227 0.799078i \(-0.705321\pi\)
0.601227 0.799078i \(-0.294679\pi\)
\(60\) −0.771469 0.869772i −0.0995962 0.112287i
\(61\) −1.10960 + 0.640630i −0.142070 + 0.0820243i −0.569350 0.822095i \(-0.692805\pi\)
0.427280 + 0.904119i \(0.359472\pi\)
\(62\) 4.07946 + 7.06584i 0.518092 + 0.897362i
\(63\) −4.20623 6.73110i −0.529935 0.848038i
\(64\) 6.37686 0.797107
\(65\) 5.54932 5.32783i 0.688308 0.660836i
\(66\) −3.87642 + 3.43830i −0.477154 + 0.423225i
\(67\) −5.03764 2.90848i −0.615446 0.355328i 0.159648 0.987174i \(-0.448964\pi\)
−0.775094 + 0.631846i \(0.782297\pi\)
\(68\) −0.937561 −0.113696
\(69\) −4.41668 + 13.2556i −0.531705 + 1.59579i
\(70\) 5.38802 + 6.68786i 0.643992 + 0.799352i
\(71\) −6.36642 + 11.0270i −0.755556 + 1.30866i 0.189542 + 0.981873i \(0.439300\pi\)
−0.945098 + 0.326788i \(0.894034\pi\)
\(72\) 6.15510 + 4.61388i 0.725386 + 0.543751i
\(73\) −1.00356 1.73822i −0.117458 0.203443i 0.801302 0.598260i \(-0.204141\pi\)
−0.918760 + 0.394818i \(0.870808\pi\)
\(74\) 5.57543i 0.648130i
\(75\) 0.155536 + 0.759573i 0.0179597 + 0.0877079i
\(76\) −0.567727 0.983332i −0.0651228 0.112796i
\(77\) 4.05128 3.26388i 0.461686 0.371954i
\(78\) 5.39430 7.82118i 0.610784 0.885574i
\(79\) −3.35196 + 5.80576i −0.377125 + 0.653199i −0.990643 0.136482i \(-0.956421\pi\)
0.613518 + 0.789681i \(0.289754\pi\)
\(80\) −8.37083 4.83290i −0.935888 0.540335i
\(81\) 2.52439 + 8.63872i 0.280488 + 0.959858i
\(82\) −1.91830 + 1.10753i −0.211840 + 0.122306i
\(83\) 0.817821i 0.0897675i 0.998992 + 0.0448838i \(0.0142917\pi\)
−0.998992 + 0.0448838i \(0.985708\pi\)
\(84\) 1.11129 + 0.918398i 0.121251 + 0.100205i
\(85\) −5.50671 3.17930i −0.597287 0.344844i
\(86\) −1.25336 + 2.17089i −0.135154 + 0.234093i
\(87\) 11.1105 2.27506i 1.19117 0.243912i
\(88\) −2.52100 + 4.36650i −0.268739 + 0.465470i
\(89\) 15.4001i 1.63241i −0.577763 0.816205i \(-0.696074\pi\)
0.577763 0.816205i \(-0.303926\pi\)
\(90\) −3.82763 8.95440i −0.403467 0.943876i
\(91\) −5.78210 + 7.58731i −0.606129 + 0.795366i
\(92\) 2.53779i 0.264583i
\(93\) 1.86336 + 9.09990i 0.193222 + 0.943616i
\(94\) −10.8767 6.27969i −1.12185 0.647701i
\(95\) 7.70073i 0.790078i
\(96\) −2.89854 0.965771i −0.295831 0.0985685i
\(97\) 9.24604 16.0146i 0.938793 1.62604i 0.171067 0.985259i \(-0.445279\pi\)
0.767726 0.640778i \(-0.221388\pi\)
\(98\) −7.87842 7.16560i −0.795841 0.723835i
\(99\) −5.42427 + 2.31865i −0.545160 + 0.233033i
\(100\) −0.0704132 0.121959i −0.00704132 0.0121959i
\(101\) −2.25160 + 3.89989i −0.224043 + 0.388054i −0.956032 0.293263i \(-0.905259\pi\)
0.731989 + 0.681316i \(0.238592\pi\)
\(102\) −7.45044 2.48243i −0.737703 0.245797i
\(103\) −12.3721 7.14302i −1.21906 0.703822i −0.254340 0.967115i \(-0.581858\pi\)
−0.964716 + 0.263293i \(0.915192\pi\)
\(104\) 2.57412 8.87954i 0.252413 0.870711i
\(105\) 3.41276 + 9.16257i 0.333051 + 0.894175i
\(106\) 0.474763 0.274104i 0.0461130 0.0266234i
\(107\) 13.6102i 1.31575i 0.753129 + 0.657873i \(0.228544\pi\)
−0.753129 + 0.657873i \(0.771456\pi\)
\(108\) −0.930999 1.34368i −0.0895855 0.129296i
\(109\) 5.53592 3.19617i 0.530245 0.306137i −0.210871 0.977514i \(-0.567630\pi\)
0.741116 + 0.671377i \(0.234297\pi\)
\(110\) 5.52775 3.19145i 0.527050 0.304292i
\(111\) −2.00648 + 6.02200i −0.190447 + 0.571583i
\(112\) 11.1790 + 4.32338i 1.05631 + 0.408521i
\(113\) 8.99405 + 5.19271i 0.846089 + 0.488489i 0.859329 0.511423i \(-0.170881\pi\)
−0.0132406 + 0.999912i \(0.504215\pi\)
\(114\) −1.90789 9.31736i −0.178690 0.872650i
\(115\) 8.60575 14.9056i 0.802490 1.38995i
\(116\) −1.78393 + 1.02995i −0.165634 + 0.0956288i
\(117\) 8.64105 6.50633i 0.798865 0.601510i
\(118\) 18.6760i 1.71926i
\(119\) 7.35402 + 2.84411i 0.674142 + 0.260719i
\(120\) −6.28787 7.08909i −0.574002 0.647143i
\(121\) 3.56673 + 6.17776i 0.324248 + 0.561614i
\(122\) 1.68813 0.974643i 0.152836 0.0882400i
\(123\) −2.47052 + 0.505882i −0.222759 + 0.0456138i
\(124\) −0.843571 1.46111i −0.0757549 0.131211i
\(125\) 11.6232i 1.03961i
\(126\) 6.39927 + 10.2406i 0.570092 + 0.912301i
\(127\) −5.54147 9.59811i −0.491726 0.851694i 0.508229 0.861222i \(-0.330301\pi\)
−0.999955 + 0.00952776i \(0.996967\pi\)
\(128\) −13.2295 −1.16933
\(129\) −2.13501 + 1.89371i −0.187977 + 0.166732i
\(130\) −8.44262 + 8.10566i −0.740467 + 0.710913i
\(131\) −2.71371 + 4.70029i −0.237098 + 0.410666i −0.959880 0.280410i \(-0.909530\pi\)
0.722782 + 0.691076i \(0.242863\pi\)
\(132\) 0.801583 0.710987i 0.0697689 0.0618835i
\(133\) 1.47016 + 9.43525i 0.127479 + 0.818140i
\(134\) 7.66417 + 4.42491i 0.662083 + 0.382254i
\(135\) −0.911698 11.0491i −0.0784664 0.950955i
\(136\) −7.64161 −0.655263
\(137\) −20.8080 −1.77774 −0.888872 0.458156i \(-0.848510\pi\)
−0.888872 + 0.458156i \(0.848510\pi\)
\(138\) 6.71944 20.1669i 0.571997 1.71672i
\(139\) 16.8386 + 9.72179i 1.42823 + 0.824591i 0.996981 0.0776402i \(-0.0247386\pi\)
0.431252 + 0.902231i \(0.358072\pi\)
\(140\) −1.11416 1.38295i −0.0941637 0.116880i
\(141\) −9.48800 10.6970i −0.799034 0.900849i
\(142\) 9.68575 16.7762i 0.812810 1.40783i
\(143\) 4.91013 + 5.11426i 0.410606 + 0.427676i
\(144\) −10.8746 8.15164i −0.906217 0.679304i
\(145\) −13.9704 −1.16018
\(146\) 1.52680 + 2.64449i 0.126358 + 0.218859i
\(147\) −5.93070 10.5748i −0.489156 0.872196i
\(148\) 1.15291i 0.0947688i
\(149\) −1.71483 2.97017i −0.140484 0.243326i 0.787195 0.616704i \(-0.211533\pi\)
−0.927679 + 0.373379i \(0.878199\pi\)
\(150\) −0.236629 1.15560i −0.0193207 0.0943543i
\(151\) 0.857777 0.495238i 0.0698049 0.0403019i −0.464691 0.885473i \(-0.653835\pi\)
0.534496 + 0.845171i \(0.320501\pi\)
\(152\) −4.62727 8.01466i −0.375321 0.650075i
\(153\) −7.15381 5.36252i −0.578351 0.433534i
\(154\) −6.16354 + 4.96561i −0.496672 + 0.400140i
\(155\) 11.4423i 0.919068i
\(156\) −1.11546 + 1.61730i −0.0893082 + 0.129488i
\(157\) −6.80298 + 3.92770i −0.542937 + 0.313465i −0.746268 0.665645i \(-0.768156\pi\)
0.203332 + 0.979110i \(0.434823\pi\)
\(158\) 5.09960 8.83277i 0.405703 0.702698i
\(159\) 0.611434 0.125202i 0.0484899 0.00992914i
\(160\) 3.25933 + 1.88177i 0.257672 + 0.148767i
\(161\) −7.69846 + 19.9059i −0.606723 + 1.56880i
\(162\) −3.84055 13.1428i −0.301742 1.03259i
\(163\) −1.05396 + 0.608506i −0.0825528 + 0.0476619i −0.540708 0.841210i \(-0.681844\pi\)
0.458155 + 0.888872i \(0.348510\pi\)
\(164\) 0.396674 0.229020i 0.0309750 0.0178835i
\(165\) 7.11903 1.45775i 0.554216 0.113485i
\(166\) 1.24422i 0.0965700i
\(167\) 6.12231 3.53472i 0.473759 0.273525i −0.244053 0.969762i \(-0.578477\pi\)
0.717812 + 0.696237i \(0.245144\pi\)
\(168\) 9.05756 + 7.48542i 0.698806 + 0.577513i
\(169\) −10.9844 6.95292i −0.844953 0.534840i
\(170\) 8.37781 + 4.83693i 0.642548 + 0.370976i
\(171\) 1.29242 10.7503i 0.0988341 0.822092i
\(172\) 0.259176 0.448907i 0.0197620 0.0342288i
\(173\) 3.12542 + 5.41338i 0.237621 + 0.411572i 0.960031 0.279893i \(-0.0902991\pi\)
−0.722410 + 0.691465i \(0.756966\pi\)
\(174\) −16.9033 + 3.46124i −1.28143 + 0.262396i
\(175\) 0.182339 + 1.17022i 0.0137836 + 0.0884604i
\(176\) 4.45401 7.71457i 0.335734 0.581508i
\(177\) −6.72110 + 20.1718i −0.505189 + 1.51621i
\(178\) 23.4294i 1.75611i
\(179\) 13.9037 + 8.02733i 1.03921 + 0.599991i 0.919611 0.392831i \(-0.128504\pi\)
0.119604 + 0.992822i \(0.461838\pi\)
\(180\) 0.791494 + 1.85163i 0.0589945 + 0.138013i
\(181\) 4.68253i 0.348050i 0.984741 + 0.174025i \(0.0556773\pi\)
−0.984741 + 0.174025i \(0.944323\pi\)
\(182\) 8.79678 11.5432i 0.652061 0.855638i
\(183\) 2.17410 0.445184i 0.160714 0.0329089i
\(184\) 20.6843i 1.52487i
\(185\) 3.90957 6.77157i 0.287437 0.497856i
\(186\) −2.83488 13.8444i −0.207864 1.01512i
\(187\) 2.93005 5.07499i 0.214266 0.371120i
\(188\) 2.24914 + 1.29854i 0.164036 + 0.0947060i
\(189\) 3.22646 + 13.3638i 0.234690 + 0.972070i
\(190\) 11.7157i 0.849949i
\(191\) −17.5596 + 10.1380i −1.27057 + 0.733562i −0.975095 0.221789i \(-0.928810\pi\)
−0.295472 + 0.955351i \(0.595477\pi\)
\(192\) −10.4787 3.49142i −0.756234 0.251971i
\(193\) 11.0346 + 6.37082i 0.794287 + 0.458582i 0.841470 0.540304i \(-0.181691\pi\)
−0.0471825 + 0.998886i \(0.515024\pi\)
\(194\) −14.0667 + 24.3643i −1.00993 + 1.74926i
\(195\) −12.0359 + 5.71656i −0.861909 + 0.409371i
\(196\) 1.62914 + 1.48174i 0.116367 + 0.105838i
\(197\) 6.02585 + 10.4371i 0.429324 + 0.743611i 0.996813 0.0797701i \(-0.0254186\pi\)
−0.567490 + 0.823381i \(0.692085\pi\)
\(198\) 8.25238 3.52754i 0.586471 0.250692i
\(199\) 0.787685i 0.0558375i 0.999610 + 0.0279188i \(0.00888797\pi\)
−0.999610 + 0.0279188i \(0.991112\pi\)
\(200\) −0.573904 0.994031i −0.0405811 0.0702886i
\(201\) 6.68560 + 7.53750i 0.471566 + 0.531655i
\(202\) 3.42554 5.93322i 0.241020 0.417460i
\(203\) 17.1171 2.66713i 1.20139 0.187196i
\(204\) 1.54064 + 0.513328i 0.107866 + 0.0359401i
\(205\) 3.10646 0.216964
\(206\) 18.8226 + 10.8672i 1.31143 + 0.757157i
\(207\) 14.5153 19.3640i 1.00888 1.34589i
\(208\) −4.54786 + 15.6881i −0.315338 + 1.08777i
\(209\) 7.09700 0.490910
\(210\) −5.19210 13.9398i −0.358289 0.961934i
\(211\) 9.50759 + 16.4676i 0.654529 + 1.13368i 0.982012 + 0.188821i \(0.0604665\pi\)
−0.327482 + 0.944857i \(0.606200\pi\)
\(212\) −0.0981737 + 0.0566806i −0.00674260 + 0.00389284i
\(213\) 16.4990 14.6342i 1.13049 1.00272i
\(214\) 20.7063i 1.41545i
\(215\) 3.04452 1.75775i 0.207634 0.119878i
\(216\) −7.58813 10.9517i −0.516307 0.745169i
\(217\) 2.18448 + 14.0196i 0.148292 + 0.951712i
\(218\) −8.42224 + 4.86258i −0.570426 + 0.329336i
\(219\) 0.697389 + 3.40576i 0.0471252 + 0.230140i
\(220\) −1.14305 + 0.659942i −0.0770646 + 0.0444933i
\(221\) −2.99179 + 10.3203i −0.201250 + 0.694220i
\(222\) 3.05262 9.16175i 0.204879 0.614896i
\(223\) −0.792230 1.37218i −0.0530516 0.0918881i 0.838280 0.545240i \(-0.183561\pi\)
−0.891332 + 0.453352i \(0.850228\pi\)
\(224\) −4.35271 1.68338i −0.290828 0.112476i
\(225\) 0.160295 1.33332i 0.0106863 0.0888878i
\(226\) −13.6834 7.90009i −0.910204 0.525506i
\(227\) 11.2711i 0.748092i 0.927410 + 0.374046i \(0.122030\pi\)
−0.927410 + 0.374046i \(0.877970\pi\)
\(228\) 0.394522 + 1.92669i 0.0261279 + 0.127598i
\(229\) 1.70730 2.95713i 0.112821 0.195412i −0.804085 0.594514i \(-0.797345\pi\)
0.916907 + 0.399101i \(0.130678\pi\)
\(230\) −13.0926 + 22.6771i −0.863302 + 1.49528i
\(231\) −8.44423 + 3.14520i −0.555590 + 0.206939i
\(232\) −14.5400 + 8.39465i −0.954595 + 0.551136i
\(233\) −24.9375 14.3977i −1.63371 0.943222i −0.982936 0.183948i \(-0.941112\pi\)
−0.650772 0.759273i \(-0.725555\pi\)
\(234\) −13.1463 + 9.89860i −0.859402 + 0.647091i
\(235\) 8.80681 + 15.2539i 0.574493 + 0.995051i
\(236\) 3.86190i 0.251389i
\(237\) 8.68680 7.70500i 0.564268 0.500494i
\(238\) −11.1883 4.32698i −0.725227 0.280476i
\(239\) 12.4394 0.804638 0.402319 0.915500i \(-0.368204\pi\)
0.402319 + 0.915500i \(0.368204\pi\)
\(240\) 11.1092 + 12.5248i 0.717095 + 0.808469i
\(241\) 23.9445 1.54240 0.771202 0.636590i \(-0.219656\pi\)
0.771202 + 0.636590i \(0.219656\pi\)
\(242\) −5.42635 9.39872i −0.348819 0.604172i
\(243\) 0.581651 15.5776i 0.0373129 0.999304i
\(244\) −0.349079 + 0.201541i −0.0223475 + 0.0129023i
\(245\) 4.54403 + 14.2274i 0.290307 + 0.908952i
\(246\) 3.75860 0.769638i 0.239640 0.0490704i
\(247\) −12.6358 + 3.11147i −0.803995 + 0.197978i
\(248\) −6.87554 11.9088i −0.436597 0.756208i
\(249\) 0.447768 1.34387i 0.0283762 0.0851646i
\(250\) 17.6833i 1.11839i
\(251\) 4.84713 8.39547i 0.305948 0.529917i −0.671524 0.740983i \(-0.734360\pi\)
0.977472 + 0.211065i \(0.0676933\pi\)
\(252\) −1.32327 2.11759i −0.0833582 0.133396i
\(253\) 13.7370 + 7.93107i 0.863639 + 0.498622i
\(254\) 8.43068 + 14.6024i 0.528988 + 0.916234i
\(255\) 7.30813 + 8.23935i 0.457653 + 0.515968i
\(256\) 7.37333 0.460833
\(257\) 3.37176 0.210325 0.105162 0.994455i \(-0.466464\pi\)
0.105162 + 0.994455i \(0.466464\pi\)
\(258\) 3.24817 2.88105i 0.202222 0.179367i
\(259\) −3.49739 + 9.04319i −0.217317 + 0.561916i
\(260\) 1.74580 1.67613i 0.108270 0.103949i
\(261\) −19.5028 2.34468i −1.20719 0.145132i
\(262\) 4.12859 7.15093i 0.255065 0.441786i
\(263\) −3.40506 1.96591i −0.209965 0.121223i 0.391330 0.920250i \(-0.372015\pi\)
−0.601295 + 0.799027i \(0.705348\pi\)
\(264\) 6.53332 5.79491i 0.402098 0.356652i
\(265\) −0.768823 −0.0472284
\(266\) −2.23668 14.3546i −0.137140 0.880137i
\(267\) −8.43178 + 25.3061i −0.516017 + 1.54871i
\(268\) −1.58483 0.915003i −0.0968090 0.0558927i
\(269\) −9.95794 −0.607147 −0.303573 0.952808i \(-0.598180\pi\)
−0.303573 + 0.952808i \(0.598180\pi\)
\(270\) 1.38704 + 16.8099i 0.0844125 + 1.02302i
\(271\) 7.75422 0.471035 0.235518 0.971870i \(-0.424321\pi\)
0.235518 + 0.971870i \(0.424321\pi\)
\(272\) 13.5009 0.818613
\(273\) 13.6555 9.30197i 0.826470 0.562981i
\(274\) 31.6568 1.91246
\(275\) 0.880216 0.0530790
\(276\) −1.38948 + 4.17020i −0.0836367 + 0.251016i
\(277\) 25.0939 1.50775 0.753875 0.657018i \(-0.228183\pi\)
0.753875 + 0.657018i \(0.228183\pi\)
\(278\) −25.6180 14.7905i −1.53646 0.887077i
\(279\) 1.92038 15.9735i 0.114970 0.956309i
\(280\) −9.08098 11.2717i −0.542692 0.673615i
\(281\) −12.6834 −0.756631 −0.378315 0.925677i \(-0.623496\pi\)
−0.378315 + 0.925677i \(0.623496\pi\)
\(282\) 14.4349 + 16.2742i 0.859583 + 0.969114i
\(283\) 17.7369 + 10.2404i 1.05435 + 0.608727i 0.923863 0.382723i \(-0.125014\pi\)
0.130484 + 0.991450i \(0.458347\pi\)
\(284\) −2.00287 + 3.46906i −0.118848 + 0.205851i
\(285\) −4.21626 + 12.6541i −0.249749 + 0.749565i
\(286\) −7.47018 7.78073i −0.441721 0.460084i
\(287\) −3.80616 + 0.593061i −0.224671 + 0.0350073i
\(288\) 4.23421 + 3.17398i 0.249503 + 0.187029i
\(289\) −8.11848 −0.477558
\(290\) 21.2543 1.24810
\(291\) −23.9617 + 21.2535i −1.40466 + 1.24590i
\(292\) −0.315718 0.546839i −0.0184760 0.0320014i
\(293\) −0.806381 0.465564i −0.0471093 0.0271986i 0.476260 0.879304i \(-0.341992\pi\)
−0.523370 + 0.852106i \(0.675325\pi\)
\(294\) 9.02285 + 16.0883i 0.526223 + 0.938290i
\(295\) 13.0959 22.6827i 0.762470 1.32064i
\(296\) 9.39683i 0.546180i
\(297\) 10.1829 0.840222i 0.590870 0.0487546i
\(298\) 2.60890 + 4.51876i 0.151130 + 0.261764i
\(299\) −27.9351 8.09820i −1.61553 0.468331i
\(300\) 0.0489312 + 0.238960i 0.00282505 + 0.0137964i
\(301\) −3.39469 + 2.73491i −0.195667 + 0.157637i
\(302\) −1.30500 + 0.753445i −0.0750946 + 0.0433559i
\(303\) 5.83516 5.17566i 0.335221 0.297334i
\(304\) 8.17529 + 14.1600i 0.468885 + 0.812133i
\(305\) −2.73373 −0.156533
\(306\) 10.8837 + 8.15843i 0.622178 + 0.466387i
\(307\) −30.5349 −1.74272 −0.871359 0.490646i \(-0.836761\pi\)
−0.871359 + 0.490646i \(0.836761\pi\)
\(308\) 1.27452 1.02681i 0.0726228 0.0585080i
\(309\) 16.4193 + 18.5116i 0.934064 + 1.05309i
\(310\) 17.4081i 0.988714i
\(311\) −7.99319 13.8446i −0.453252 0.785056i 0.545334 0.838219i \(-0.316403\pi\)
−0.998586 + 0.0531633i \(0.983070\pi\)
\(312\) −9.09157 + 13.1818i −0.514709 + 0.746274i
\(313\) −18.2511 10.5373i −1.03161 0.595603i −0.114167 0.993462i \(-0.536420\pi\)
−0.917447 + 0.397859i \(0.869753\pi\)
\(314\) 10.3499 5.97553i 0.584079 0.337218i
\(315\) −0.591336 16.9248i −0.0333180 0.953605i
\(316\) −1.05452 + 1.82648i −0.0593214 + 0.102748i
\(317\) 0.601375 1.04161i 0.0337766 0.0585028i −0.848643 0.528966i \(-0.822580\pi\)
0.882420 + 0.470463i \(0.155913\pi\)
\(318\) −0.930224 + 0.190479i −0.0521644 + 0.0106816i
\(319\) 12.8752i 0.720871i
\(320\) 11.7830 + 6.80291i 0.658689 + 0.380294i
\(321\) 7.45177 22.3648i 0.415917 1.24828i
\(322\) 11.7123 30.2844i 0.652700 1.68769i
\(323\) 5.37808 + 9.31510i 0.299244 + 0.518306i
\(324\) 0.794168 + 2.71772i 0.0441204 + 0.150985i
\(325\) −1.56717 + 0.385905i −0.0869311 + 0.0214062i
\(326\) 1.60348 0.925770i 0.0888086 0.0512736i
\(327\) −10.8468 + 2.22106i −0.599828 + 0.122825i
\(328\) 3.23310 1.86663i 0.178518 0.103067i
\(329\) −13.7026 17.0083i −0.755450 0.937699i
\(330\) −10.8308 + 2.21778i −0.596214 + 0.122085i
\(331\) 4.19705 2.42317i 0.230690 0.133189i −0.380200 0.924904i \(-0.624145\pi\)
0.610891 + 0.791715i \(0.290812\pi\)
\(332\) 0.257285i 0.0141203i
\(333\) 6.59425 8.79699i 0.361363 0.482072i
\(334\) −9.31437 + 5.37765i −0.509660 + 0.294252i
\(335\) −6.20561 10.7484i −0.339049 0.587250i
\(336\) −16.0026 13.2250i −0.873011 0.721481i
\(337\) −17.4614 −0.951181 −0.475590 0.879667i \(-0.657765\pi\)
−0.475590 + 0.879667i \(0.657765\pi\)
\(338\) 16.7114 + 10.5780i 0.908983 + 0.575369i
\(339\) −11.9363 13.4572i −0.648289 0.730896i
\(340\) −1.73240 1.00020i −0.0939527 0.0542436i
\(341\) 10.5452 0.571057
\(342\) −1.96627 + 16.3552i −0.106324 + 0.884389i
\(343\) −8.28370 16.5644i −0.447278 0.894395i
\(344\) 2.11242 3.65882i 0.113894 0.197270i
\(345\) −22.3023 + 19.7817i −1.20072 + 1.06501i
\(346\) −4.75495 8.23581i −0.255627 0.442760i
\(347\) 3.10439i 0.166652i −0.996522 0.0833262i \(-0.973446\pi\)
0.996522 0.0833262i \(-0.0265544\pi\)
\(348\) 3.49534 0.715730i 0.187370 0.0383672i
\(349\) −6.68893 11.5856i −0.358050 0.620161i 0.629585 0.776932i \(-0.283225\pi\)
−0.987635 + 0.156771i \(0.949892\pi\)
\(350\) −0.277408 1.78035i −0.0148281 0.0951638i
\(351\) −17.7616 + 5.96034i −0.948044 + 0.318140i
\(352\) −1.73424 + 3.00380i −0.0924355 + 0.160103i
\(353\) −6.07968 3.51011i −0.323589 0.186824i 0.329402 0.944190i \(-0.393153\pi\)
−0.652991 + 0.757366i \(0.726486\pi\)
\(354\) 10.2254 30.6891i 0.543471 1.63110i
\(355\) −23.5274 + 13.5836i −1.24871 + 0.720941i
\(356\) 4.84485i 0.256777i
\(357\) −10.5272 8.69998i −0.557159 0.460452i
\(358\) −21.1529 12.2126i −1.11796 0.645457i
\(359\) −2.02933 + 3.51489i −0.107104 + 0.185509i −0.914596 0.404369i \(-0.867491\pi\)
0.807492 + 0.589878i \(0.200824\pi\)
\(360\) 6.45109 + 15.0918i 0.340002 + 0.795406i
\(361\) 2.98676 5.17323i 0.157198 0.272275i
\(362\) 7.12391i 0.374424i
\(363\) −2.47857 12.1044i −0.130091 0.635314i
\(364\) −1.81904 + 2.38695i −0.0953435 + 0.125110i
\(365\) 4.28244i 0.224153i
\(366\) −3.30763 + 0.677294i −0.172893 + 0.0354027i
\(367\) 1.24170 + 0.716898i 0.0648164 + 0.0374218i 0.532058 0.846708i \(-0.321419\pi\)
−0.467242 + 0.884130i \(0.654752\pi\)
\(368\) 36.5443i 1.90501i
\(369\) 4.33663 + 0.521361i 0.225756 + 0.0271410i
\(370\) −5.94794 + 10.3021i −0.309219 + 0.535582i
\(371\) 0.941994 0.146778i 0.0489059 0.00762033i
\(372\) 0.586210 + 2.86281i 0.0303936 + 0.148430i
\(373\) −14.0574 24.3481i −0.727865 1.26070i −0.957784 0.287489i \(-0.907179\pi\)
0.229919 0.973210i \(-0.426154\pi\)
\(374\) −4.45772 + 7.72100i −0.230503 + 0.399243i
\(375\) −6.36388 + 19.0997i −0.328629 + 0.986305i
\(376\) 18.3317 + 10.5838i 0.945385 + 0.545818i
\(377\) 5.64474 + 22.9235i 0.290719 + 1.18062i
\(378\) −4.90867 20.3314i −0.252475 1.04573i
\(379\) 18.3318 10.5839i 0.941643 0.543658i 0.0511683 0.998690i \(-0.483706\pi\)
0.890475 + 0.455032i \(0.150372\pi\)
\(380\) 2.42263i 0.124279i
\(381\) 3.85085 + 18.8060i 0.197285 + 0.963461i
\(382\) 26.7148 15.4238i 1.36685 0.789150i
\(383\) 27.3258 15.7765i 1.39628 0.806144i 0.402281 0.915516i \(-0.368217\pi\)
0.994001 + 0.109372i \(0.0348841\pi\)
\(384\) 21.7391 + 7.24331i 1.10937 + 0.369634i
\(385\) 10.9678 1.70896i 0.558971 0.0870967i
\(386\) −16.7878 9.69245i −0.854477 0.493333i
\(387\) 4.54516 1.94287i 0.231044 0.0987614i
\(388\) 2.90879 5.03817i 0.147671 0.255774i
\(389\) 31.3731 18.1133i 1.59068 0.918379i 0.597489 0.801877i \(-0.296165\pi\)
0.993191 0.116502i \(-0.0371680\pi\)
\(390\) 18.3112 8.69706i 0.927223 0.440393i
\(391\) 24.0405i 1.21578i
\(392\) 13.2783 + 12.0769i 0.670656 + 0.609976i
\(393\) 7.03275 6.23790i 0.354755 0.314660i
\(394\) −9.16760 15.8788i −0.461857 0.799960i
\(395\) −12.3873 + 7.15183i −0.623274 + 0.359847i
\(396\) −1.70647 + 0.729442i −0.0857532 + 0.0366558i
\(397\) 6.48319 + 11.2292i 0.325382 + 0.563578i 0.981590 0.191002i \(-0.0611738\pi\)
−0.656208 + 0.754580i \(0.727840\pi\)
\(398\) 1.19837i 0.0600688i
\(399\) 2.75010 16.3093i 0.137677 0.816486i
\(400\) 1.01395 + 1.75622i 0.0506976 + 0.0878109i
\(401\) 28.8738 1.44189 0.720944 0.692994i \(-0.243709\pi\)
0.720944 + 0.692994i \(0.243709\pi\)
\(402\) −10.1713 11.4674i −0.507300 0.571942i
\(403\) −18.7752 + 4.62325i −0.935258 + 0.230301i
\(404\) −0.708350 + 1.22690i −0.0352417 + 0.0610405i
\(405\) −4.55140 + 18.6555i −0.226161 + 0.926997i
\(406\) −26.0417 + 4.05772i −1.29243 + 0.201381i
\(407\) 6.24069 + 3.60306i 0.309339 + 0.178597i
\(408\) 12.5570 + 4.18389i 0.621663 + 0.207133i
\(409\) −14.9605 −0.739748 −0.369874 0.929082i \(-0.620599\pi\)
−0.369874 + 0.929082i \(0.620599\pi\)
\(410\) −4.72610 −0.233406
\(411\) 34.1924 + 11.3926i 1.68659 + 0.561958i
\(412\) −3.89223 2.24718i −0.191756 0.110711i
\(413\) −11.7152 + 30.2919i −0.576466 + 1.49057i
\(414\) −22.0833 + 29.4600i −1.08533 + 1.44788i
\(415\) −0.872462 + 1.51115i −0.0428275 + 0.0741794i
\(416\) 1.77079 6.10841i 0.0868200 0.299489i
\(417\) −22.3470 25.1946i −1.09434 1.23378i
\(418\) −10.7972 −0.528110
\(419\) −3.05253 5.28714i −0.149126 0.258294i 0.781779 0.623556i \(-0.214313\pi\)
−0.930905 + 0.365262i \(0.880979\pi\)
\(420\) 1.07365 + 2.88253i 0.0523886 + 0.140653i
\(421\) 2.03050i 0.0989607i −0.998775 0.0494804i \(-0.984243\pi\)
0.998775 0.0494804i \(-0.0157565\pi\)
\(422\) −14.4647 25.0535i −0.704129 1.21959i
\(423\) 9.73428 + 22.7725i 0.473297 + 1.10724i
\(424\) −0.800166 + 0.461976i −0.0388595 + 0.0224355i
\(425\) 0.667024 + 1.15532i 0.0323554 + 0.0560412i
\(426\) −25.1012 + 22.2642i −1.21616 + 1.07870i
\(427\) 3.34948 0.521903i 0.162093 0.0252567i
\(428\) 4.28174i 0.206966i
\(429\) −5.26839 11.0923i −0.254360 0.535541i
\(430\) −4.63187 + 2.67421i −0.223368 + 0.128962i
\(431\) −1.16281 + 2.01405i −0.0560106 + 0.0970132i −0.892671 0.450708i \(-0.851171\pi\)
0.836661 + 0.547722i \(0.184505\pi\)
\(432\) 13.4064 + 19.3491i 0.645017 + 0.930933i
\(433\) −11.1370 6.42996i −0.535211 0.309004i 0.207925 0.978145i \(-0.433329\pi\)
−0.743136 + 0.669141i \(0.766662\pi\)
\(434\) −3.32342 21.3291i −0.159529 1.02383i
\(435\) 22.9567 + 7.64900i 1.10069 + 0.366742i
\(436\) 1.74159 1.00551i 0.0834070 0.0481551i
\(437\) −25.2142 + 14.5574i −1.20616 + 0.696375i
\(438\) −1.06099 5.18146i −0.0506962 0.247580i
\(439\) 34.2942i 1.63677i −0.574669 0.818386i \(-0.694869\pi\)
0.574669 0.818386i \(-0.305131\pi\)
\(440\) −9.31647 + 5.37887i −0.444145 + 0.256428i
\(441\) 3.95568 + 20.6241i 0.188366 + 0.982099i
\(442\) 4.55165 15.7011i 0.216500 0.746826i
\(443\) −2.84466 1.64237i −0.135154 0.0780311i 0.430899 0.902400i \(-0.358197\pi\)
−0.566052 + 0.824369i \(0.691530\pi\)
\(444\) −0.631236 + 1.89451i −0.0299571 + 0.0899094i
\(445\) 16.4291 28.4560i 0.778812 1.34894i
\(446\) 1.20528 + 2.08761i 0.0570718 + 0.0988512i
\(447\) 1.19166 + 5.81958i 0.0563636 + 0.275257i
\(448\) −15.7358 6.08569i −0.743445 0.287522i
\(449\) 17.2112 29.8106i 0.812246 1.40685i −0.0990430 0.995083i \(-0.531578\pi\)
0.911289 0.411768i \(-0.135089\pi\)
\(450\) −0.243869 + 2.02848i −0.0114961 + 0.0956235i
\(451\) 2.86291i 0.134809i
\(452\) 2.82951 + 1.63362i 0.133089 + 0.0768389i
\(453\) −1.68068 + 0.344148i −0.0789652 + 0.0161695i
\(454\) 17.1477i 0.804782i
\(455\) −18.7783 + 7.85122i −0.880339 + 0.368071i
\(456\) 3.21556 + 15.7035i 0.150582 + 0.735383i
\(457\) 11.3831i 0.532480i 0.963907 + 0.266240i \(0.0857813\pi\)
−0.963907 + 0.266240i \(0.914219\pi\)
\(458\) −2.59745 + 4.49891i −0.121371 + 0.210220i
\(459\) 8.81936 + 12.7287i 0.411652 + 0.594125i
\(460\) 2.70735 4.68927i 0.126231 0.218638i
\(461\) −8.28378 4.78265i −0.385814 0.222750i 0.294531 0.955642i \(-0.404837\pi\)
−0.680345 + 0.732892i \(0.738170\pi\)
\(462\) 12.8469 4.78505i 0.597691 0.222621i
\(463\) 8.59018i 0.399220i −0.979875 0.199610i \(-0.936033\pi\)
0.979875 0.199610i \(-0.0639674\pi\)
\(464\) 25.6887 14.8314i 1.19257 0.688529i
\(465\) −6.26482 + 18.8024i −0.290524 + 0.871942i
\(466\) 37.9394 + 21.9043i 1.75751 + 1.01470i
\(467\) −5.74246 + 9.94623i −0.265729 + 0.460257i −0.967754 0.251895i \(-0.918946\pi\)
0.702025 + 0.712152i \(0.252279\pi\)
\(468\) 2.71846 2.04688i 0.125661 0.0946170i
\(469\) 9.65538 + 11.9847i 0.445844 + 0.553402i
\(470\) −13.3985 23.2069i −0.618027 1.07045i
\(471\) 13.3294 2.72942i 0.614185 0.125765i
\(472\) 31.4765i 1.44882i
\(473\) 1.61995 + 2.80583i 0.0744852 + 0.129012i
\(474\) −13.2159 + 11.7222i −0.607027 + 0.538420i
\(475\) −0.807814 + 1.39918i −0.0370651 + 0.0641986i
\(476\) 2.31356 + 0.894753i 0.106042 + 0.0410109i
\(477\) −1.07328 0.129033i −0.0491422 0.00590800i
\(478\) −18.9251 −0.865612
\(479\) 10.0631 + 5.80991i 0.459793 + 0.265461i 0.711957 0.702223i \(-0.247809\pi\)
−0.252164 + 0.967684i \(0.581142\pi\)
\(480\) −4.32555 4.87672i −0.197433 0.222591i
\(481\) −12.6908 3.67899i −0.578652 0.167747i
\(482\) −36.4288 −1.65928
\(483\) 23.5491 28.4951i 1.07152 1.29657i
\(484\) 1.12209 + 1.94351i 0.0510039 + 0.0883414i
\(485\) 34.1692 19.7276i 1.55154 0.895784i
\(486\) −0.884912 + 23.6995i −0.0401404 + 1.07503i
\(487\) 17.9245i 0.812236i −0.913821 0.406118i \(-0.866882\pi\)
0.913821 0.406118i \(-0.133118\pi\)
\(488\) −2.84518 + 1.64266i −0.128795 + 0.0743599i
\(489\) 2.06508 0.422860i 0.0933861 0.0191224i
\(490\) −6.91319 21.6452i −0.312306 0.977831i
\(491\) −22.9168 + 13.2310i −1.03422 + 0.597107i −0.918191 0.396139i \(-0.870350\pi\)
−0.116029 + 0.993246i \(0.537017\pi\)
\(492\) −0.777221 + 0.159149i −0.0350398 + 0.00717501i
\(493\) 16.8992 9.75675i 0.761101 0.439422i
\(494\) 19.2238 4.73373i 0.864921 0.212981i
\(495\) −12.4964 1.50235i −0.561671 0.0675256i
\(496\) 12.1474 + 21.0400i 0.545436 + 0.944724i
\(497\) 26.2335 21.1348i 1.17673 0.948027i
\(498\) −0.681226 + 2.04454i −0.0305265 + 0.0916182i
\(499\) 17.9158 + 10.3437i 0.802023 + 0.463048i 0.844178 0.536063i \(-0.180089\pi\)
−0.0421553 + 0.999111i \(0.513422\pi\)
\(500\) 3.65665i 0.163530i
\(501\) −11.9957 + 2.45633i −0.535929 + 0.109741i
\(502\) −7.37432 + 12.7727i −0.329132 + 0.570074i
\(503\) −7.35956 + 12.7471i −0.328147 + 0.568367i −0.982144 0.188130i \(-0.939757\pi\)
0.653997 + 0.756497i \(0.273091\pi\)
\(504\) −10.7853 17.2595i −0.480417 0.768797i
\(505\) −8.32091 + 4.80408i −0.370276 + 0.213779i
\(506\) −20.8992 12.0662i −0.929084 0.536407i
\(507\) 14.2431 + 17.4394i 0.632560 + 0.774511i
\(508\) −1.74334 3.01955i −0.0773480 0.133971i
\(509\) 42.1320i 1.86747i 0.357965 + 0.933735i \(0.383471\pi\)
−0.357965 + 0.933735i \(0.616529\pi\)
\(510\) −11.1184 12.5352i −0.492333 0.555067i
\(511\) 0.817571 + 5.24702i 0.0361672 + 0.232115i
\(512\) 15.2413 0.673576
\(513\) −8.00967 + 16.9576i −0.353636 + 0.748696i
\(514\) −5.12973 −0.226263
\(515\) −15.2405 26.3974i −0.671578 1.16321i
\(516\) −0.671671 + 0.595758i −0.0295687 + 0.0262268i
\(517\) −14.0580 + 8.11637i −0.618269 + 0.356958i
\(518\) 5.32086 13.7581i 0.233785 0.604498i
\(519\) −2.17190 10.6067i −0.0953358 0.465581i
\(520\) 14.2292 13.6613i 0.623992 0.599087i
\(521\) 8.45049 + 14.6367i 0.370223 + 0.641244i 0.989600 0.143849i \(-0.0459481\pi\)
−0.619377 + 0.785094i \(0.712615\pi\)
\(522\) 29.6712 + 3.56714i 1.29867 + 0.156130i
\(523\) 17.4693i 0.763880i 0.924187 + 0.381940i \(0.124744\pi\)
−0.924187 + 0.381940i \(0.875256\pi\)
\(524\) −0.853729 + 1.47870i −0.0372953 + 0.0645974i
\(525\) 0.341086 2.02278i 0.0148862 0.0882816i
\(526\) 5.18039 + 2.99090i 0.225876 + 0.130409i
\(527\) 7.99114 + 13.8411i 0.348100 + 0.602926i
\(528\) −11.5428 + 10.2382i −0.502337 + 0.445562i
\(529\) −42.0730 −1.82926
\(530\) 1.16967 0.0508073
\(531\) 22.0887 29.4672i 0.958569 1.27877i
\(532\) 0.462511 + 2.96831i 0.0200524 + 0.128693i
\(533\) −1.25516 5.09725i −0.0543671 0.220786i
\(534\) 12.8279 38.5001i 0.555119 1.66606i
\(535\) −14.5195 + 25.1486i −0.627734 + 1.08727i
\(536\) −12.9172 7.45775i −0.557938 0.322126i
\(537\) −18.4521 20.8033i −0.796266 0.897729i
\(538\) 15.1498 0.653155
\(539\) −13.1119 + 4.18778i −0.564771 + 0.180380i
\(540\) −0.286818 3.47603i −0.0123427 0.149584i
\(541\) −29.2962 16.9141i −1.25954 0.727196i −0.286555 0.958064i \(-0.592510\pi\)
−0.972985 + 0.230868i \(0.925844\pi\)
\(542\) −11.7971 −0.506730
\(543\) 2.56375 7.69450i 0.110021 0.330203i
\(544\) −5.25681 −0.225384
\(545\) 13.6388 0.584224
\(546\) −20.7752 + 14.1518i −0.889099 + 0.605643i
\(547\) 32.5242 1.39064 0.695318 0.718702i \(-0.255264\pi\)
0.695318 + 0.718702i \(0.255264\pi\)
\(548\) −6.54614 −0.279637
\(549\) −3.81630 0.458806i −0.162876 0.0195814i
\(550\) −1.33914 −0.0571013
\(551\) 20.4661 + 11.8161i 0.871886 + 0.503384i
\(552\) −11.3250 + 33.9893i −0.482022 + 1.44668i
\(553\) 13.8121 11.1276i 0.587350 0.473194i
\(554\) −38.1774 −1.62200
\(555\) −10.1319 + 8.98675i −0.430074 + 0.381466i
\(556\) 5.29740 + 3.05846i 0.224660 + 0.129707i
\(557\) −0.0426284 + 0.0738346i −0.00180622 + 0.00312847i −0.866927 0.498435i \(-0.833908\pi\)
0.865121 + 0.501563i \(0.167242\pi\)
\(558\) −2.92162 + 24.3018i −0.123682 + 1.02878i
\(559\) −4.11435 4.28539i −0.174019 0.181253i
\(560\) 16.0439 + 19.9145i 0.677980 + 0.841540i
\(561\) −7.59340 + 6.73518i −0.320593 + 0.284359i
\(562\) 19.2963 0.813967
\(563\) −20.5016 −0.864038 −0.432019 0.901865i \(-0.642199\pi\)
−0.432019 + 0.901865i \(0.642199\pi\)
\(564\) −2.98491 3.36525i −0.125687 0.141703i
\(565\) 11.0793 + 19.1899i 0.466110 + 0.807326i
\(566\) −26.9845 15.5795i −1.13424 0.654856i
\(567\) 2.01500 23.7264i 0.0846222 0.996413i
\(568\) −16.3244 + 28.2747i −0.684956 + 1.18638i
\(569\) 19.3818i 0.812528i −0.913756 0.406264i \(-0.866831\pi\)
0.913756 0.406264i \(-0.133169\pi\)
\(570\) 6.41453 19.2517i 0.268675 0.806366i
\(571\) 0.256292 + 0.443910i 0.0107255 + 0.0185771i 0.871338 0.490683i \(-0.163253\pi\)
−0.860613 + 0.509260i \(0.829919\pi\)
\(572\) 1.54472 + 1.60894i 0.0645879 + 0.0672730i
\(573\) 34.4053 7.04507i 1.43730 0.294312i
\(574\) 5.79062 0.902272i 0.241696 0.0376601i
\(575\) −3.12722 + 1.80550i −0.130414 + 0.0752947i
\(576\) 15.3074 + 11.4745i 0.637807 + 0.478102i
\(577\) 4.27288 + 7.40085i 0.177882 + 0.308101i 0.941155 0.337975i \(-0.109742\pi\)
−0.763273 + 0.646077i \(0.776409\pi\)
\(578\) 12.3513 0.513746
\(579\) −14.6443 16.5104i −0.608598 0.686147i
\(580\) −4.39507 −0.182495
\(581\) 0.780480 2.01809i 0.0323798 0.0837243i
\(582\) 36.4548 32.3346i 1.51110 1.34031i
\(583\) 0.708549i 0.0293451i
\(584\) −2.57326 4.45702i −0.106482 0.184433i
\(585\) 22.9077 2.80384i 0.947119 0.115924i
\(586\) 1.22681 + 0.708300i 0.0506791 + 0.0292596i
\(587\) −17.7192 + 10.2302i −0.731351 + 0.422245i −0.818916 0.573913i \(-0.805425\pi\)
0.0875655 + 0.996159i \(0.472091\pi\)
\(588\) −1.86579 3.32682i −0.0769438 0.137196i
\(589\) −9.67785 + 16.7625i −0.398769 + 0.690688i
\(590\) −19.9238 + 34.5090i −0.820249 + 1.42071i
\(591\) −4.18745 20.4498i −0.172249 0.841193i
\(592\) 16.6020i 0.682337i
\(593\) 0.0584810 + 0.0337640i 0.00240153 + 0.00138652i 0.501200 0.865331i \(-0.332892\pi\)
−0.498799 + 0.866718i \(0.666225\pi\)
\(594\) −15.4920 + 1.27830i −0.635645 + 0.0524491i
\(595\) 10.5544 + 13.1006i 0.432690 + 0.537074i
\(596\) −0.539481 0.934409i −0.0220980 0.0382749i
\(597\) 0.431269 1.29435i 0.0176507 0.0529744i
\(598\) 42.4999 + 12.3204i 1.73795 + 0.503820i
\(599\) 21.1111 12.1885i 0.862578 0.498009i −0.00229705 0.999997i \(-0.500731\pi\)
0.864875 + 0.501988i \(0.167398\pi\)
\(600\) 0.398815 + 1.94765i 0.0162815 + 0.0795124i
\(601\) 2.07893 1.20027i 0.0848014 0.0489601i −0.457000 0.889467i \(-0.651076\pi\)
0.541801 + 0.840507i \(0.317743\pi\)
\(602\) 5.16462 4.16083i 0.210494 0.169583i
\(603\) −6.85914 16.0464i −0.279326 0.653459i
\(604\) 0.269855 0.155801i 0.0109802 0.00633945i
\(605\) 15.2201i 0.618786i
\(606\) −8.87750 + 7.87415i −0.360624 + 0.319865i
\(607\) 5.55033 3.20449i 0.225281 0.130066i −0.383112 0.923702i \(-0.625148\pi\)
0.608393 + 0.793636i \(0.291814\pi\)
\(608\) −3.18319 5.51344i −0.129095 0.223600i
\(609\) −29.5878 4.98915i −1.19896 0.202171i
\(610\) 4.15905 0.168395
\(611\) 21.4710 20.6140i 0.868623 0.833954i
\(612\) −2.25058 1.68704i −0.0909741 0.0681945i
\(613\) 3.63524 + 2.09881i 0.146826 + 0.0847701i 0.571613 0.820523i \(-0.306318\pi\)
−0.424787 + 0.905293i \(0.639651\pi\)
\(614\) 46.4552 1.87478
\(615\) −5.10465 1.70083i −0.205839 0.0685840i
\(616\) 10.3880 8.36904i 0.418546 0.337198i
\(617\) −7.73717 + 13.4012i −0.311487 + 0.539511i −0.978684 0.205370i \(-0.934160\pi\)
0.667198 + 0.744881i \(0.267494\pi\)
\(618\) −24.9801 28.1631i −1.00485 1.13289i
\(619\) 17.9155 + 31.0306i 0.720087 + 1.24723i 0.960965 + 0.276671i \(0.0892313\pi\)
−0.240878 + 0.970555i \(0.577435\pi\)
\(620\) 3.59973i 0.144569i
\(621\) −34.4541 + 23.8723i −1.38260 + 0.957961i
\(622\) 12.1607 + 21.0629i 0.487599 + 0.844546i
\(623\) −14.6970 + 38.0019i −0.588821 + 1.52251i
\(624\) 16.0626 23.2892i 0.643021 0.932313i
\(625\) 11.2807 19.5388i 0.451228 0.781551i
\(626\) 27.7669 + 16.0312i 1.10979 + 0.640736i
\(627\) −11.6621 3.88571i −0.465738 0.155180i
\(628\) −2.14020 + 1.23565i −0.0854034 + 0.0493077i
\(629\) 10.9215i 0.435470i
\(630\) 0.899647 + 25.7491i 0.0358428 + 1.02587i
\(631\) −29.8930 17.2587i −1.19002 0.687060i −0.231710 0.972785i \(-0.574432\pi\)
−0.958312 + 0.285725i \(0.907766\pi\)
\(632\) −8.59488 + 14.8868i −0.341886 + 0.592164i
\(633\) −6.60697 32.2658i −0.262603 1.28245i
\(634\) −0.914921 + 1.58469i −0.0363361 + 0.0629361i
\(635\) 23.6469i 0.938397i
\(636\) 0.192356 0.0393882i 0.00762741 0.00156184i
\(637\) 21.5090 13.2046i 0.852218 0.523187i
\(638\) 19.5880i 0.775497i
\(639\) −35.1242 + 15.0141i −1.38949 + 0.593948i
\(640\) −24.4451 14.1134i −0.966276 0.557880i
\(641\) 24.2596i 0.958197i 0.877761 + 0.479098i \(0.159036\pi\)
−0.877761 + 0.479098i \(0.840964\pi\)
\(642\) −11.3370 + 34.0253i −0.447435 + 1.34287i
\(643\) 3.39247 5.87593i 0.133786 0.231724i −0.791347 0.611367i \(-0.790620\pi\)
0.925133 + 0.379643i \(0.123953\pi\)
\(644\) −2.42192 + 6.26236i −0.0954370 + 0.246771i
\(645\) −5.96526 + 1.22149i −0.234882 + 0.0480961i
\(646\) −8.18210 14.1718i −0.321920 0.557583i
\(647\) 17.2893 29.9460i 0.679714 1.17730i −0.295354 0.955388i \(-0.595437\pi\)
0.975067 0.221910i \(-0.0712292\pi\)
\(648\) 6.47288 + 22.1509i 0.254279 + 0.870168i
\(649\) 20.9044 + 12.0692i 0.820569 + 0.473756i
\(650\) 2.38426 0.587109i 0.0935185 0.0230283i
\(651\) 4.08630 24.2335i 0.160155 0.949787i
\(652\) −0.331575 + 0.191435i −0.0129855 + 0.00749717i
\(653\) 24.3380i 0.952418i 0.879332 + 0.476209i \(0.157989\pi\)
−0.879332 + 0.476209i \(0.842011\pi\)
\(654\) 16.5021 3.37908i 0.645282 0.132133i
\(655\) −10.0287 + 5.79005i −0.391852 + 0.226236i
\(656\) −5.71212 + 3.29789i −0.223021 + 0.128761i
\(657\) 0.718728 5.97831i 0.0280402 0.233236i
\(658\) 20.8469 + 25.8761i 0.812697 + 1.00876i
\(659\) 41.4269 + 23.9179i 1.61376 + 0.931707i 0.988487 + 0.151305i \(0.0483475\pi\)
0.625277 + 0.780403i \(0.284986\pi\)
\(660\) 2.23964 0.458604i 0.0871777 0.0178511i
\(661\) 24.3076 42.1021i 0.945458 1.63758i 0.190625 0.981663i \(-0.438948\pi\)
0.754832 0.655918i \(-0.227718\pi\)
\(662\) −6.38530 + 3.68656i −0.248172 + 0.143282i
\(663\) 10.5667 15.3207i 0.410378 0.595006i
\(664\) 2.09701i 0.0813796i
\(665\) −7.34912 + 19.0026i −0.284986 + 0.736889i
\(666\) −10.0324 + 13.3836i −0.388746 + 0.518603i
\(667\) 26.4096 + 45.7428i 1.02258 + 1.77117i
\(668\) 1.92607 1.11202i 0.0745218 0.0430252i
\(669\) 0.550533 + 2.68858i 0.0212848 + 0.103946i
\(670\) 9.44110 + 16.3525i 0.364742 + 0.631751i
\(671\) 2.51941i 0.0972608i
\(672\) 6.23087 + 5.14936i 0.240361 + 0.198641i
\(673\) 0.594127 + 1.02906i 0.0229019 + 0.0396673i 0.877249 0.480035i \(-0.159376\pi\)
−0.854347 + 0.519702i \(0.826043\pi\)
\(674\) 26.5654 1.02326
\(675\) −0.993412 + 2.10319i −0.0382364 + 0.0809519i
\(676\) −3.45567 2.18738i −0.132910 0.0841298i
\(677\) −2.75441 + 4.77077i −0.105860 + 0.183356i −0.914089 0.405513i \(-0.867093\pi\)
0.808229 + 0.588868i \(0.200426\pi\)
\(678\) 18.1596 + 20.4736i 0.697415 + 0.786282i
\(679\) −38.0993 + 30.6944i −1.46212 + 1.17794i
\(680\) −14.1200 8.15217i −0.541476 0.312621i
\(681\) 6.17111 18.5212i 0.236477 0.709733i
\(682\) −16.0433 −0.614331
\(683\) 20.4839 0.783796 0.391898 0.920009i \(-0.371819\pi\)
0.391898 + 0.920009i \(0.371819\pi\)
\(684\) 0.406594 3.38201i 0.0155465 0.129314i
\(685\) −38.4484 22.1982i −1.46904 0.848150i
\(686\) 12.6027 + 25.2008i 0.481172 + 0.962171i
\(687\) −4.42456 + 3.92449i −0.168808 + 0.149729i
\(688\) −3.73215 + 6.46427i −0.142287 + 0.246448i
\(689\) 0.310642 + 1.26153i 0.0118345 + 0.0480604i
\(690\) 33.9303 30.0954i 1.29170 1.14571i
\(691\) −20.8027 −0.791374 −0.395687 0.918386i \(-0.629493\pi\)
−0.395687 + 0.918386i \(0.629493\pi\)
\(692\) 0.983250 + 1.70304i 0.0373776 + 0.0647398i
\(693\) 15.5979 0.544976i 0.592516 0.0207019i
\(694\) 4.72296i 0.179281i
\(695\) 20.7427 + 35.9273i 0.786814 + 1.36280i
\(696\) 28.4888 5.83357i 1.07987 0.221121i
\(697\) −3.75769 + 2.16951i −0.142333 + 0.0821759i
\(698\) 10.1764 + 17.6261i 0.385183 + 0.667156i
\(699\) 33.0953 + 37.3124i 1.25178 + 1.41128i
\(700\) 0.0573636 + 0.368149i 0.00216814 + 0.0139147i
\(701\) 39.6765i 1.49856i −0.662253 0.749280i \(-0.730400\pi\)
0.662253 0.749280i \(-0.269600\pi\)
\(702\) 27.0221 9.06795i 1.01989 0.342248i
\(703\) −11.4547 + 6.61338i −0.432023 + 0.249428i
\(704\) −6.26957 + 10.8592i −0.236293 + 0.409272i
\(705\) −6.11999 29.8875i −0.230492 1.12563i
\(706\) 9.24951 + 5.34021i 0.348110 + 0.200981i
\(707\) 9.27796 7.47472i 0.348934 0.281116i
\(708\) −2.11445 + 6.34603i −0.0794658 + 0.238498i
\(709\) 7.07562 4.08511i 0.265730 0.153420i −0.361215 0.932482i \(-0.617638\pi\)
0.626946 + 0.779063i \(0.284305\pi\)
\(710\) 35.7942 20.6658i 1.34333 0.775573i
\(711\) −18.4931 + 7.90500i −0.693544 + 0.296461i
\(712\) 39.4880i 1.47988i
\(713\) −37.4650 + 21.6305i −1.40308 + 0.810067i
\(714\) 16.0159 + 13.2360i 0.599380 + 0.495344i
\(715\) 3.61686 + 14.6882i 0.135263 + 0.549307i
\(716\) 4.37409 + 2.52538i 0.163467 + 0.0943780i
\(717\) −20.4409 6.81074i −0.763379 0.254352i
\(718\) 3.08738 5.34749i 0.115220 0.199567i
\(719\) −20.3828 35.3041i −0.760151 1.31662i −0.942772 0.333437i \(-0.891791\pi\)
0.182621 0.983183i \(-0.441542\pi\)
\(720\) −11.3975 26.6636i −0.424761 0.993693i
\(721\) 23.7129 + 29.4335i 0.883115 + 1.09616i
\(722\) −4.54400 + 7.87045i −0.169110 + 0.292908i
\(723\) −39.3466 13.1100i −1.46331 0.487565i
\(724\) 1.47311i 0.0547479i
\(725\) 2.53834 + 1.46551i 0.0942716 + 0.0544278i
\(726\) 3.77085 + 18.4153i 0.139950 + 0.683457i
\(727\) 40.4086i 1.49867i 0.662191 + 0.749335i \(0.269627\pi\)
−0.662191 + 0.749335i \(0.730373\pi\)
\(728\) −14.8261 + 19.4549i −0.549492 + 0.721047i
\(729\) −9.48474 + 25.2792i −0.351287 + 0.936268i
\(730\) 6.51522i 0.241139i
\(731\) −2.45518 + 4.25249i −0.0908080 + 0.157284i
\(732\) 0.683967 0.140054i 0.0252801 0.00517655i
\(733\) 16.9577 29.3717i 0.626348 1.08487i −0.361930 0.932205i \(-0.617882\pi\)
0.988278 0.152662i \(-0.0487846\pi\)
\(734\) −1.88910 1.09067i −0.0697281 0.0402575i
\(735\) 0.322762 25.8668i 0.0119052 0.954112i
\(736\) 14.2292i 0.524494i
\(737\) 9.90577 5.71910i 0.364884 0.210666i
\(738\) −6.59766 0.793188i −0.242863 0.0291977i
\(739\) 22.6528 + 13.0786i 0.833297 + 0.481104i 0.854980 0.518661i \(-0.173569\pi\)
−0.0216835 + 0.999765i \(0.506903\pi\)
\(740\) 1.22994 2.13032i 0.0452136 0.0783122i
\(741\) 22.4672 + 1.80538i 0.825352 + 0.0663222i
\(742\) −1.43313 + 0.223305i −0.0526119 + 0.00819779i
\(743\) −24.6858 42.7570i −0.905633 1.56860i −0.820065 0.572271i \(-0.806063\pi\)
−0.0855687 0.996332i \(-0.527271\pi\)
\(744\) 4.77791 + 23.3334i 0.175167 + 0.855444i
\(745\) 7.31760i 0.268096i
\(746\) 21.3867 + 37.0428i 0.783021 + 1.35623i
\(747\) −1.47158 + 1.96314i −0.0538423 + 0.0718277i
\(748\) 0.921788 1.59658i 0.0337039 0.0583769i
\(749\) 12.9888 33.5850i 0.474599 1.22717i
\(750\) 9.68188 29.0579i 0.353532 1.06105i
\(751\) 17.6920 0.645592 0.322796 0.946469i \(-0.395377\pi\)
0.322796 + 0.946469i \(0.395377\pi\)
\(752\) −32.3878 18.6991i −1.18106 0.681885i
\(753\) −12.5616 + 11.1419i −0.457771 + 0.406033i
\(754\) −8.58780 34.8753i −0.312749 1.27008i
\(755\) 2.11330 0.0769110
\(756\) 1.01504 + 4.20421i 0.0369166 + 0.152906i
\(757\) −0.495303 0.857890i −0.0180021 0.0311806i 0.856884 0.515509i \(-0.172397\pi\)
−0.874886 + 0.484329i \(0.839064\pi\)
\(758\) −27.8897 + 16.1021i −1.01300 + 0.584856i
\(759\) −18.2308 20.5538i −0.661736 0.746057i
\(760\) 19.7457i 0.716253i
\(761\) 6.68767 3.86113i 0.242428 0.139966i −0.373864 0.927483i \(-0.621967\pi\)
0.616292 + 0.787518i \(0.288634\pi\)
\(762\) −5.85861 28.6111i −0.212235 1.03647i
\(763\) −16.7109 + 2.60382i −0.604974 + 0.0942648i
\(764\) −5.52421 + 3.18940i −0.199859 + 0.115389i
\(765\) −7.49782 17.5405i −0.271084 0.634178i
\(766\) −41.5729 + 24.0021i −1.50209 + 0.867232i
\(767\) −42.5104 12.3235i −1.53496 0.444975i
\(768\) −12.1161 4.03700i −0.437203 0.145673i
\(769\) −5.63630 9.76236i −0.203250 0.352040i 0.746324 0.665583i \(-0.231817\pi\)
−0.949574 + 0.313544i \(0.898484\pi\)
\(770\) −16.6862 + 2.59998i −0.601329 + 0.0936968i
\(771\) −5.54060 1.84609i −0.199540 0.0664852i
\(772\) 3.47146 + 2.00425i 0.124941 + 0.0721345i
\(773\) 13.2843i 0.477801i −0.971044 0.238901i \(-0.923213\pi\)