Properties

Label 260.2.p.d.103.6
Level $260$
Weight $2$
Character 260.103
Analytic conductor $2.076$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.p (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 103.6
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.23237 - 0.693735i) q^{2} +(-0.828304 + 0.828304i) q^{3} +(1.03746 + 1.70987i) q^{4} +(-1.31937 + 1.80534i) q^{5} +(1.59540 - 0.446152i) q^{6} +(2.94084 - 2.94084i) q^{7} +(-0.0923349 - 2.82692i) q^{8} +1.62783i q^{9} +O(q^{10})\) \(q+(-1.23237 - 0.693735i) q^{2} +(-0.828304 + 0.828304i) q^{3} +(1.03746 + 1.70987i) q^{4} +(-1.31937 + 1.80534i) q^{5} +(1.59540 - 0.446152i) q^{6} +(2.94084 - 2.94084i) q^{7} +(-0.0923349 - 2.82692i) q^{8} +1.62783i q^{9} +(2.87838 - 1.30955i) q^{10} -3.40117 q^{11} +(-2.27563 - 0.556962i) q^{12} +(-1.99125 + 3.00581i) q^{13} +(-5.66436 + 1.58403i) q^{14} +(-0.402533 - 2.58821i) q^{15} +(-1.84734 + 3.54786i) q^{16} +(-2.96509 + 2.96509i) q^{17} +(1.12928 - 2.00608i) q^{18} +7.33328i q^{19} +(-4.45571 - 0.382982i) q^{20} +4.87182i q^{21} +(4.19149 + 2.35951i) q^{22} +(1.65342 - 1.65342i) q^{23} +(2.41803 + 2.26507i) q^{24} +(-1.51853 - 4.76383i) q^{25} +(4.53919 - 2.32287i) q^{26} +(-3.83325 - 3.83325i) q^{27} +(8.07948 + 1.97746i) q^{28} +1.98422i q^{29} +(-1.29946 + 3.46888i) q^{30} -4.43526 q^{31} +(4.73788 - 3.09070i) q^{32} +(2.81720 - 2.81720i) q^{33} +(5.71107 - 1.59709i) q^{34} +(1.42917 + 9.18928i) q^{35} +(-2.78338 + 1.68881i) q^{36} +(1.88762 + 1.88762i) q^{37} +(5.08735 - 9.03730i) q^{38} +(-0.840366 - 4.13909i) q^{39} +(5.22538 + 3.56306i) q^{40} +7.55280i q^{41} +(3.37975 - 6.00387i) q^{42} +(0.548655 - 0.548655i) q^{43} +(-3.52858 - 5.81557i) q^{44} +(-2.93878 - 2.14770i) q^{45} +(-3.18465 + 0.890583i) q^{46} +(-5.58516 + 5.58516i) q^{47} +(-1.40855 - 4.46887i) q^{48} -10.2971i q^{49} +(-1.43345 + 6.92425i) q^{50} -4.91199i q^{51} +(-7.20541 - 0.286371i) q^{52} +(-0.437273 - 0.437273i) q^{53} +(2.06471 + 7.38323i) q^{54} +(4.48740 - 6.14027i) q^{55} +(-8.58506 - 8.04197i) q^{56} +(-6.07418 - 6.07418i) q^{57} +(1.37652 - 2.44529i) q^{58} -6.14051i q^{59} +(4.00790 - 3.37345i) q^{60} +8.12327 q^{61} +(5.46588 + 3.07690i) q^{62} +(4.78717 + 4.78717i) q^{63} +(-7.98295 + 0.522046i) q^{64} +(-2.79933 - 7.56067i) q^{65} +(-5.42622 + 1.51744i) q^{66} +(3.78718 - 3.78718i) q^{67} +(-8.14610 - 1.99376i) q^{68} +2.73906i q^{69} +(4.61367 - 12.3160i) q^{70} +8.90033 q^{71} +(4.60173 - 0.150305i) q^{72} +(4.20522 - 4.20522i) q^{73} +(-1.01673 - 3.63575i) q^{74} +(5.20370 + 2.68810i) q^{75} +(-12.5390 + 7.60800i) q^{76} +(-10.0023 + 10.0023i) q^{77} +(-1.83579 + 5.68387i) q^{78} +13.2369 q^{79} +(-3.96778 - 8.01603i) q^{80} +1.46671 q^{81} +(5.23964 - 9.30783i) q^{82} +(-0.688014 - 0.688014i) q^{83} +(-8.33020 + 5.05433i) q^{84} +(-1.44095 - 9.26505i) q^{85} +(-1.05677 + 0.295523i) q^{86} +(-1.64354 - 1.64354i) q^{87} +(0.314046 + 9.61483i) q^{88} +17.5962 q^{89} +(2.13172 + 4.68550i) q^{90} +(2.98367 + 14.6956i) q^{91} +(4.54249 + 1.11178i) q^{92} +(3.67375 - 3.67375i) q^{93} +(10.7576 - 3.00835i) q^{94} +(-13.2391 - 9.67530i) q^{95} +(-1.36437 + 6.48445i) q^{96} +(-3.63754 - 3.63754i) q^{97} +(-7.14344 + 12.6898i) q^{98} -5.53651i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.23237 0.693735i −0.871416 0.490545i
\(3\) −0.828304 + 0.828304i −0.478221 + 0.478221i −0.904562 0.426341i \(-0.859802\pi\)
0.426341 + 0.904562i \(0.359802\pi\)
\(4\) 1.03746 + 1.70987i 0.518731 + 0.854937i
\(5\) −1.31937 + 1.80534i −0.590040 + 0.807374i
\(6\) 1.59540 0.446152i 0.651319 0.182141i
\(7\) 2.94084 2.94084i 1.11153 1.11153i 0.118589 0.992943i \(-0.462163\pi\)
0.992943 0.118589i \(-0.0378371\pi\)
\(8\) −0.0923349 2.82692i −0.0326453 0.999467i
\(9\) 1.62783i 0.542609i
\(10\) 2.87838 1.30955i 0.910224 0.414117i
\(11\) −3.40117 −1.02549 −0.512745 0.858541i \(-0.671371\pi\)
−0.512745 + 0.858541i \(0.671371\pi\)
\(12\) −2.27563 0.556962i −0.656918 0.160781i
\(13\) −1.99125 + 3.00581i −0.552274 + 0.833663i
\(14\) −5.66436 + 1.58403i −1.51386 + 0.423350i
\(15\) −0.402533 2.58821i −0.103934 0.668273i
\(16\) −1.84734 + 3.54786i −0.461836 + 0.886965i
\(17\) −2.96509 + 2.96509i −0.719140 + 0.719140i −0.968429 0.249289i \(-0.919803\pi\)
0.249289 + 0.968429i \(0.419803\pi\)
\(18\) 1.12928 2.00608i 0.266174 0.472838i
\(19\) 7.33328i 1.68237i 0.540748 + 0.841184i \(0.318141\pi\)
−0.540748 + 0.841184i \(0.681859\pi\)
\(20\) −4.45571 0.382982i −0.996326 0.0856374i
\(21\) 4.87182i 1.06312i
\(22\) 4.19149 + 2.35951i 0.893629 + 0.503049i
\(23\) 1.65342 1.65342i 0.344761 0.344761i −0.513393 0.858154i \(-0.671612\pi\)
0.858154 + 0.513393i \(0.171612\pi\)
\(24\) 2.41803 + 2.26507i 0.493578 + 0.462355i
\(25\) −1.51853 4.76383i −0.303705 0.952766i
\(26\) 4.53919 2.32287i 0.890209 0.455552i
\(27\) −3.83325 3.83325i −0.737708 0.737708i
\(28\) 8.07948 + 1.97746i 1.52688 + 0.373704i
\(29\) 1.98422i 0.368460i 0.982883 + 0.184230i \(0.0589792\pi\)
−0.982883 + 0.184230i \(0.941021\pi\)
\(30\) −1.29946 + 3.46888i −0.237249 + 0.633328i
\(31\) −4.43526 −0.796597 −0.398299 0.917256i \(-0.630399\pi\)
−0.398299 + 0.917256i \(0.630399\pi\)
\(32\) 4.73788 3.09070i 0.837548 0.546364i
\(33\) 2.81720 2.81720i 0.490412 0.490412i
\(34\) 5.71107 1.59709i 0.979440 0.273899i
\(35\) 1.42917 + 9.18928i 0.241573 + 1.55327i
\(36\) −2.78338 + 1.68881i −0.463896 + 0.281468i
\(37\) 1.88762 + 1.88762i 0.310322 + 0.310322i 0.845034 0.534712i \(-0.179580\pi\)
−0.534712 + 0.845034i \(0.679580\pi\)
\(38\) 5.08735 9.03730i 0.825278 1.46604i
\(39\) −0.840366 4.13909i −0.134566 0.662785i
\(40\) 5.22538 + 3.56306i 0.826206 + 0.563369i
\(41\) 7.55280i 1.17955i 0.807568 + 0.589774i \(0.200783\pi\)
−0.807568 + 0.589774i \(0.799217\pi\)
\(42\) 3.37975 6.00387i 0.521507 0.926417i
\(43\) 0.548655 0.548655i 0.0836691 0.0836691i −0.664034 0.747703i \(-0.731157\pi\)
0.747703 + 0.664034i \(0.231157\pi\)
\(44\) −3.52858 5.81557i −0.531954 0.876730i
\(45\) −2.93878 2.14770i −0.438088 0.320161i
\(46\) −3.18465 + 0.890583i −0.469551 + 0.131309i
\(47\) −5.58516 + 5.58516i −0.814679 + 0.814679i −0.985331 0.170652i \(-0.945413\pi\)
0.170652 + 0.985331i \(0.445413\pi\)
\(48\) −1.40855 4.46887i −0.203306 0.645026i
\(49\) 10.2971i 1.47101i
\(50\) −1.43345 + 6.92425i −0.202721 + 0.979237i
\(51\) 4.91199i 0.687816i
\(52\) −7.20541 0.286371i −0.999211 0.0397125i
\(53\) −0.437273 0.437273i −0.0600640 0.0600640i 0.676437 0.736501i \(-0.263523\pi\)
−0.736501 + 0.676437i \(0.763523\pi\)
\(54\) 2.06471 + 7.38323i 0.280972 + 1.00473i
\(55\) 4.48740 6.14027i 0.605081 0.827954i
\(56\) −8.58506 8.04197i −1.14723 1.07465i
\(57\) −6.07418 6.07418i −0.804545 0.804545i
\(58\) 1.37652 2.44529i 0.180746 0.321082i
\(59\) 6.14051i 0.799426i −0.916640 0.399713i \(-0.869110\pi\)
0.916640 0.399713i \(-0.130890\pi\)
\(60\) 4.00790 3.37345i 0.517418 0.435511i
\(61\) 8.12327 1.04008 0.520039 0.854142i \(-0.325917\pi\)
0.520039 + 0.854142i \(0.325917\pi\)
\(62\) 5.46588 + 3.07690i 0.694167 + 0.390767i
\(63\) 4.78717 + 4.78717i 0.603127 + 0.603127i
\(64\) −7.98295 + 0.522046i −0.997869 + 0.0652558i
\(65\) −2.79933 7.56067i −0.347214 0.937786i
\(66\) −5.42622 + 1.51744i −0.667921 + 0.186783i
\(67\) 3.78718 3.78718i 0.462678 0.462678i −0.436854 0.899532i \(-0.643908\pi\)
0.899532 + 0.436854i \(0.143908\pi\)
\(68\) −8.14610 1.99376i −0.987860 0.241779i
\(69\) 2.73906i 0.329744i
\(70\) 4.61367 12.3160i 0.551438 1.47205i
\(71\) 8.90033 1.05628 0.528138 0.849159i \(-0.322891\pi\)
0.528138 + 0.849159i \(0.322891\pi\)
\(72\) 4.60173 0.150305i 0.542319 0.0177136i
\(73\) 4.20522 4.20522i 0.492184 0.492184i −0.416810 0.908994i \(-0.636852\pi\)
0.908994 + 0.416810i \(0.136852\pi\)
\(74\) −1.01673 3.63575i −0.118193 0.422647i
\(75\) 5.20370 + 2.68810i 0.600871 + 0.310395i
\(76\) −12.5390 + 7.60800i −1.43832 + 0.872697i
\(77\) −10.0023 + 10.0023i −1.13987 + 1.13987i
\(78\) −1.83579 + 5.68387i −0.207862 + 0.643572i
\(79\) 13.2369 1.48927 0.744633 0.667474i \(-0.232624\pi\)
0.744633 + 0.667474i \(0.232624\pi\)
\(80\) −3.96778 8.01603i −0.443611 0.896219i
\(81\) 1.46671 0.162967
\(82\) 5.23964 9.30783i 0.578622 1.02788i
\(83\) −0.688014 0.688014i −0.0755194 0.0755194i 0.668338 0.743858i \(-0.267006\pi\)
−0.743858 + 0.668338i \(0.767006\pi\)
\(84\) −8.33020 + 5.05433i −0.908899 + 0.551472i
\(85\) −1.44095 9.26505i −0.156293 1.00494i
\(86\) −1.05677 + 0.295523i −0.113954 + 0.0318671i
\(87\) −1.64354 1.64354i −0.176206 0.176206i
\(88\) 0.314046 + 9.61483i 0.0334775 + 1.02494i
\(89\) 17.5962 1.86520 0.932599 0.360915i \(-0.117536\pi\)
0.932599 + 0.360915i \(0.117536\pi\)
\(90\) 2.13172 + 4.68550i 0.224703 + 0.493895i
\(91\) 2.98367 + 14.6956i 0.312773 + 1.54051i
\(92\) 4.54249 + 1.11178i 0.473587 + 0.115911i
\(93\) 3.67375 3.67375i 0.380950 0.380950i
\(94\) 10.7576 3.00835i 1.10956 0.310288i
\(95\) −13.2391 9.67530i −1.35830 0.992665i
\(96\) −1.36437 + 6.48445i −0.139250 + 0.661816i
\(97\) −3.63754 3.63754i −0.369336 0.369336i 0.497899 0.867235i \(-0.334105\pi\)
−0.867235 + 0.497899i \(0.834105\pi\)
\(98\) −7.14344 + 12.6898i −0.721596 + 1.28186i
\(99\) 5.53651i 0.556440i
\(100\) 6.57014 7.53878i 0.657014 0.753878i
\(101\) 2.16914 0.215838 0.107919 0.994160i \(-0.465581\pi\)
0.107919 + 0.994160i \(0.465581\pi\)
\(102\) −3.40762 + 6.05338i −0.337405 + 0.599374i
\(103\) −13.3191 + 13.3191i −1.31237 + 1.31237i −0.392713 + 0.919661i \(0.628464\pi\)
−0.919661 + 0.392713i \(0.871536\pi\)
\(104\) 8.68106 + 5.35157i 0.851248 + 0.524764i
\(105\) −8.79530 6.42773i −0.858333 0.627282i
\(106\) 0.235529 + 0.842233i 0.0228766 + 0.0818049i
\(107\) −4.28539 4.28539i −0.414284 0.414284i 0.468944 0.883228i \(-0.344635\pi\)
−0.883228 + 0.468944i \(0.844635\pi\)
\(108\) 2.57752 10.5312i 0.248022 1.01337i
\(109\) −6.58437 −0.630668 −0.315334 0.948981i \(-0.602117\pi\)
−0.315334 + 0.948981i \(0.602117\pi\)
\(110\) −9.78985 + 4.45401i −0.933426 + 0.424673i
\(111\) −3.12704 −0.296806
\(112\) 5.00095 + 15.8664i 0.472545 + 1.49924i
\(113\) 8.42371 + 8.42371i 0.792436 + 0.792436i 0.981890 0.189453i \(-0.0606716\pi\)
−0.189453 + 0.981890i \(0.560672\pi\)
\(114\) 3.27175 + 11.6995i 0.306428 + 1.09576i
\(115\) 0.803515 + 5.16645i 0.0749282 + 0.481774i
\(116\) −3.39277 + 2.05855i −0.315011 + 0.191132i
\(117\) −4.89294 3.24141i −0.452353 0.299668i
\(118\) −4.25989 + 7.56737i −0.392155 + 0.696633i
\(119\) 17.4397i 1.59869i
\(120\) −7.27950 + 1.37691i −0.664524 + 0.125694i
\(121\) 0.567942 0.0516310
\(122\) −10.0109 5.63540i −0.906341 0.510205i
\(123\) −6.25601 6.25601i −0.564085 0.564085i
\(124\) −4.60142 7.58375i −0.413220 0.681041i
\(125\) 10.6038 + 3.54379i 0.948437 + 0.316967i
\(126\) −2.57853 9.22059i −0.229713 0.821435i
\(127\) 3.55390 + 3.55390i 0.315357 + 0.315357i 0.846981 0.531624i \(-0.178418\pi\)
−0.531624 + 0.846981i \(0.678418\pi\)
\(128\) 10.2001 + 4.89470i 0.901569 + 0.432635i
\(129\) 0.908906i 0.0800247i
\(130\) −1.79530 + 11.2595i −0.157458 + 0.987526i
\(131\) 10.9417i 0.955984i −0.878364 0.477992i \(-0.841365\pi\)
0.878364 0.477992i \(-0.158635\pi\)
\(132\) 7.73980 + 1.89432i 0.673663 + 0.164879i
\(133\) 21.5660 + 21.5660i 1.87001 + 1.87001i
\(134\) −7.29450 + 2.03990i −0.630149 + 0.176220i
\(135\) 11.9778 1.86285i 1.03088 0.160329i
\(136\) 8.65585 + 8.10829i 0.742233 + 0.695280i
\(137\) −0.789026 0.789026i −0.0674110 0.0674110i 0.672597 0.740009i \(-0.265179\pi\)
−0.740009 + 0.672597i \(0.765179\pi\)
\(138\) 1.90018 3.37553i 0.161754 0.287344i
\(139\) −14.6017 −1.23850 −0.619251 0.785193i \(-0.712564\pi\)
−0.619251 + 0.785193i \(0.712564\pi\)
\(140\) −14.2298 + 11.9772i −1.20264 + 1.01226i
\(141\) 9.25242i 0.779194i
\(142\) −10.9685 6.17448i −0.920455 0.518150i
\(143\) 6.77258 10.2233i 0.566352 0.854913i
\(144\) −5.77530 3.00715i −0.481275 0.250596i
\(145\) −3.58220 2.61792i −0.297485 0.217406i
\(146\) −8.09970 + 2.26507i −0.670336 + 0.187459i
\(147\) 8.52910 + 8.52910i 0.703468 + 0.703468i
\(148\) −1.26926 + 5.18592i −0.104332 + 0.426280i
\(149\) 13.1526 1.07751 0.538753 0.842464i \(-0.318896\pi\)
0.538753 + 0.842464i \(0.318896\pi\)
\(150\) −4.54804 6.92272i −0.371346 0.565237i
\(151\) 1.17393 0.0955332 0.0477666 0.998859i \(-0.484790\pi\)
0.0477666 + 0.998859i \(0.484790\pi\)
\(152\) 20.7306 0.677117i 1.68147 0.0549214i
\(153\) −4.82665 4.82665i −0.390211 0.390211i
\(154\) 19.2654 5.38756i 1.55245 0.434142i
\(155\) 5.85175 8.00717i 0.470024 0.643152i
\(156\) 6.20547 5.73107i 0.496836 0.458853i
\(157\) −0.498889 + 0.498889i −0.0398157 + 0.0398157i −0.726734 0.686919i \(-0.758963\pi\)
0.686919 + 0.726734i \(0.258963\pi\)
\(158\) −16.3127 9.18290i −1.29777 0.730552i
\(159\) 0.724390 0.0574478
\(160\) −0.671243 + 12.6313i −0.0530664 + 0.998591i
\(161\) 9.72485i 0.766426i
\(162\) −1.80752 1.01751i −0.142012 0.0799429i
\(163\) 6.52976 + 6.52976i 0.511450 + 0.511450i 0.914971 0.403520i \(-0.132214\pi\)
−0.403520 + 0.914971i \(0.632214\pi\)
\(164\) −12.9143 + 7.83574i −1.00844 + 0.611869i
\(165\) 1.36908 + 8.80294i 0.106583 + 0.685308i
\(166\) 0.370587 + 1.32519i 0.0287631 + 0.102854i
\(167\) −5.63541 + 5.63541i −0.436081 + 0.436081i −0.890691 0.454610i \(-0.849779\pi\)
0.454610 + 0.890691i \(0.349779\pi\)
\(168\) 13.7722 0.449838i 1.06255 0.0347058i
\(169\) −5.06984 11.9707i −0.389987 0.920820i
\(170\) −4.65171 + 12.4176i −0.356770 + 0.952386i
\(171\) −11.9373 −0.912868
\(172\) 1.50734 + 0.368922i 0.114934 + 0.0281301i
\(173\) 2.77038 + 2.77038i 0.210628 + 0.210628i 0.804534 0.593906i \(-0.202415\pi\)
−0.593906 + 0.804534i \(0.702415\pi\)
\(174\) 0.885263 + 3.16562i 0.0671116 + 0.239985i
\(175\) −18.4754 9.54392i −1.39661 0.721452i
\(176\) 6.28313 12.0669i 0.473608 0.909575i
\(177\) 5.08621 + 5.08621i 0.382303 + 0.382303i
\(178\) −21.6850 12.2071i −1.62536 0.914963i
\(179\) −9.15302 −0.684129 −0.342064 0.939677i \(-0.611126\pi\)
−0.342064 + 0.939677i \(0.611126\pi\)
\(180\) 0.623428 7.25311i 0.0464676 0.540615i
\(181\) 11.6077 0.862792 0.431396 0.902163i \(-0.358021\pi\)
0.431396 + 0.902163i \(0.358021\pi\)
\(182\) 6.51786 20.1802i 0.483136 1.49586i
\(183\) −6.72854 + 6.72854i −0.497388 + 0.497388i
\(184\) −4.82674 4.52140i −0.355832 0.333322i
\(185\) −5.89826 + 0.917331i −0.433649 + 0.0674435i
\(186\) −7.07602 + 1.97880i −0.518839 + 0.145093i
\(187\) 10.0848 10.0848i 0.737471 0.737471i
\(188\) −15.3443 3.75553i −1.11910 0.273900i
\(189\) −22.5459 −1.63997
\(190\) 9.60332 + 21.1080i 0.696698 + 1.53133i
\(191\) 12.7491i 0.922496i 0.887271 + 0.461248i \(0.152598\pi\)
−0.887271 + 0.461248i \(0.847402\pi\)
\(192\) 6.17989 7.04472i 0.445995 0.508409i
\(193\) −8.64101 + 8.64101i −0.621994 + 0.621994i −0.946041 0.324047i \(-0.894956\pi\)
0.324047 + 0.946041i \(0.394956\pi\)
\(194\) 1.95930 + 7.00627i 0.140669 + 0.503021i
\(195\) 8.58123 + 3.94384i 0.614514 + 0.282424i
\(196\) 17.6067 10.6828i 1.25762 0.763058i
\(197\) 6.24790 + 6.24790i 0.445145 + 0.445145i 0.893737 0.448592i \(-0.148074\pi\)
−0.448592 + 0.893737i \(0.648074\pi\)
\(198\) −3.84087 + 6.82302i −0.272959 + 0.484891i
\(199\) 6.11372 0.433390 0.216695 0.976239i \(-0.430472\pi\)
0.216695 + 0.976239i \(0.430472\pi\)
\(200\) −13.3268 + 4.73262i −0.942344 + 0.334647i
\(201\) 6.27387i 0.442525i
\(202\) −2.67318 1.50481i −0.188084 0.105878i
\(203\) 5.83527 + 5.83527i 0.409556 + 0.409556i
\(204\) 8.39889 5.09600i 0.588040 0.356792i
\(205\) −13.6354 9.96493i −0.952337 0.695981i
\(206\) 25.6540 7.17413i 1.78740 0.499845i
\(207\) 2.69147 + 2.69147i 0.187070 + 0.187070i
\(208\) −6.98569 12.6175i −0.484370 0.874863i
\(209\) 24.9417i 1.72525i
\(210\) 6.37990 + 14.0229i 0.440255 + 0.967675i
\(211\) 7.61186i 0.524022i 0.965065 + 0.262011i \(0.0843857\pi\)
−0.965065 + 0.262011i \(0.915614\pi\)
\(212\) 0.294028 1.20134i 0.0201939 0.0825081i
\(213\) −7.37218 + 7.37218i −0.505133 + 0.505133i
\(214\) 2.30825 + 8.25411i 0.157789 + 0.564239i
\(215\) 0.266631 + 1.71439i 0.0181841 + 0.116920i
\(216\) −10.4823 + 11.1902i −0.713233 + 0.761398i
\(217\) −13.0434 + 13.0434i −0.885444 + 0.885444i
\(218\) 8.11437 + 4.56781i 0.549574 + 0.309371i
\(219\) 6.96641i 0.470746i
\(220\) 15.1546 + 1.30259i 1.02172 + 0.0878204i
\(221\) −3.00827 14.8167i −0.202358 0.996682i
\(222\) 3.85367 + 2.16934i 0.258641 + 0.145597i
\(223\) −7.50725 7.50725i −0.502723 0.502723i 0.409560 0.912283i \(-0.365682\pi\)
−0.912283 + 0.409560i \(0.865682\pi\)
\(224\) 4.84409 23.0226i 0.323660 1.53826i
\(225\) 7.75468 2.47190i 0.516979 0.164793i
\(226\) −4.53729 16.2249i −0.301816 1.07927i
\(227\) 11.9566 11.9566i 0.793590 0.793590i −0.188486 0.982076i \(-0.560358\pi\)
0.982076 + 0.188486i \(0.0603580\pi\)
\(228\) 4.08435 16.6878i 0.270493 1.10518i
\(229\) −1.91943 −0.126839 −0.0634197 0.997987i \(-0.520201\pi\)
−0.0634197 + 0.997987i \(0.520201\pi\)
\(230\) 2.59392 6.92439i 0.171038 0.456581i
\(231\) 16.5699i 1.09022i
\(232\) 5.60923 0.183213i 0.368264 0.0120285i
\(233\) −18.7540 18.7540i −1.22862 1.22862i −0.964487 0.264131i \(-0.914915\pi\)
−0.264131 0.964487i \(-0.585085\pi\)
\(234\) 3.78122 + 7.38902i 0.247186 + 0.483035i
\(235\) −2.71424 17.4520i −0.177057 1.13844i
\(236\) 10.4995 6.37055i 0.683459 0.414687i
\(237\) −10.9642 + 10.9642i −0.712199 + 0.712199i
\(238\) 12.0985 21.4921i 0.784232 1.39313i
\(239\) 18.0653i 1.16854i −0.811558 0.584272i \(-0.801380\pi\)
0.811558 0.584272i \(-0.198620\pi\)
\(240\) 9.92623 + 3.35318i 0.640736 + 0.216447i
\(241\) 18.1104i 1.16659i 0.812259 + 0.583297i \(0.198238\pi\)
−0.812259 + 0.583297i \(0.801762\pi\)
\(242\) −0.699913 0.394001i −0.0449921 0.0253274i
\(243\) 10.2849 10.2849i 0.659774 0.659774i
\(244\) 8.42759 + 13.8898i 0.539521 + 0.889202i
\(245\) 18.5897 + 13.5856i 1.18765 + 0.867954i
\(246\) 3.36969 + 12.0497i 0.214844 + 0.768262i
\(247\) −22.0425 14.6024i −1.40253 0.929128i
\(248\) 0.409530 + 12.5381i 0.0260052 + 0.796172i
\(249\) 1.13977 0.0722300
\(250\) −10.6094 11.7235i −0.670996 0.741461i
\(251\) 6.46202i 0.407879i 0.978983 + 0.203940i \(0.0653746\pi\)
−0.978983 + 0.203940i \(0.934625\pi\)
\(252\) −3.21895 + 13.1520i −0.202775 + 0.828497i
\(253\) −5.62354 + 5.62354i −0.353549 + 0.353549i
\(254\) −1.91424 6.84517i −0.120110 0.429504i
\(255\) 8.86782 + 6.48073i 0.555325 + 0.405839i
\(256\) −9.17464 13.1082i −0.573415 0.819265i
\(257\) 10.4843 10.4843i 0.653990 0.653990i −0.299961 0.953951i \(-0.596974\pi\)
0.953951 + 0.299961i \(0.0969738\pi\)
\(258\) 0.630540 1.12011i 0.0392557 0.0697348i
\(259\) 11.1024 0.689867
\(260\) 10.0236 12.6304i 0.621638 0.783305i
\(261\) −3.22996 −0.199930
\(262\) −7.59067 + 13.4842i −0.468953 + 0.833059i
\(263\) −6.53406 + 6.53406i −0.402907 + 0.402907i −0.879256 0.476349i \(-0.841960\pi\)
0.476349 + 0.879256i \(0.341960\pi\)
\(264\) −8.22412 7.70387i −0.506160 0.474141i
\(265\) 1.36635 0.212503i 0.0839343 0.0130539i
\(266\) −11.6161 41.5383i −0.712231 2.54688i
\(267\) −14.5750 + 14.5750i −0.891977 + 0.891977i
\(268\) 10.4047 + 2.54655i 0.635566 + 0.155555i
\(269\) 29.0536i 1.77143i 0.464230 + 0.885715i \(0.346331\pi\)
−0.464230 + 0.885715i \(0.653669\pi\)
\(270\) −16.0534 6.01370i −0.976977 0.365982i
\(271\) 6.41043 0.389406 0.194703 0.980862i \(-0.437626\pi\)
0.194703 + 0.980862i \(0.437626\pi\)
\(272\) −5.04219 15.9973i −0.305727 0.969977i
\(273\) −14.6438 9.70101i −0.886281 0.587132i
\(274\) 0.424995 + 1.51975i 0.0256749 + 0.0918112i
\(275\) 5.16476 + 16.2026i 0.311447 + 0.977053i
\(276\) −4.68345 + 2.84167i −0.281911 + 0.171049i
\(277\) 4.16505 4.16505i 0.250253 0.250253i −0.570821 0.821074i \(-0.693375\pi\)
0.821074 + 0.570821i \(0.193375\pi\)
\(278\) 17.9947 + 10.1297i 1.07925 + 0.607541i
\(279\) 7.21984i 0.432240i
\(280\) 25.8454 4.88863i 1.54456 0.292152i
\(281\) 2.13811i 0.127549i 0.997964 + 0.0637745i \(0.0203139\pi\)
−0.997964 + 0.0637745i \(0.979686\pi\)
\(282\) −6.41873 + 11.4024i −0.382230 + 0.679002i
\(283\) 14.5899 14.5899i 0.867280 0.867280i −0.124891 0.992171i \(-0.539858\pi\)
0.992171 + 0.124891i \(0.0398580\pi\)
\(284\) 9.23376 + 15.2185i 0.547923 + 0.903049i
\(285\) 18.9801 2.95189i 1.12428 0.174855i
\(286\) −15.4386 + 7.90046i −0.912901 + 0.467164i
\(287\) 22.2116 + 22.2116i 1.31111 + 1.31111i
\(288\) 5.03113 + 7.71245i 0.296462 + 0.454460i
\(289\) 0.583505i 0.0343238i
\(290\) 2.59844 + 5.71134i 0.152586 + 0.335381i
\(291\) 6.02597 0.353249
\(292\) 11.5532 + 2.82765i 0.676098 + 0.165475i
\(293\) −11.2013 + 11.2013i −0.654388 + 0.654388i −0.954046 0.299659i \(-0.903127\pi\)
0.299659 + 0.954046i \(0.403127\pi\)
\(294\) −4.59405 16.4279i −0.267930 0.958096i
\(295\) 11.0857 + 8.10160i 0.645436 + 0.471694i
\(296\) 5.16185 5.51044i 0.300026 0.320288i
\(297\) 13.0375 + 13.0375i 0.756513 + 0.756513i
\(298\) −16.2089 9.12445i −0.938956 0.528565i
\(299\) 1.67749 + 8.26222i 0.0970120 + 0.477817i
\(300\) 0.802332 + 11.6865i 0.0463226 + 0.674719i
\(301\) 3.22701i 0.186002i
\(302\) −1.44672 0.814398i −0.0832491 0.0468633i
\(303\) −1.79671 + 1.79671i −0.103218 + 0.103218i
\(304\) −26.0174 13.5471i −1.49220 0.776978i
\(305\) −10.7176 + 14.6653i −0.613688 + 0.839732i
\(306\) 2.59979 + 9.29662i 0.148620 + 0.531453i
\(307\) −17.3623 + 17.3623i −0.990919 + 0.990919i −0.999959 0.00903979i \(-0.997123\pi\)
0.00903979 + 0.999959i \(0.497123\pi\)
\(308\) −27.4797 6.72566i −1.56580 0.383230i
\(309\) 22.0646i 1.25521i
\(310\) −12.7664 + 5.80822i −0.725081 + 0.329884i
\(311\) 4.44104i 0.251828i 0.992041 + 0.125914i \(0.0401863\pi\)
−0.992041 + 0.125914i \(0.959814\pi\)
\(312\) −11.6233 + 2.75783i −0.658038 + 0.156131i
\(313\) −0.961022 0.961022i −0.0543202 0.0543202i 0.679425 0.733745i \(-0.262229\pi\)
−0.733745 + 0.679425i \(0.762229\pi\)
\(314\) 0.960912 0.268718i 0.0542274 0.0151646i
\(315\) −14.9585 + 2.32644i −0.842818 + 0.131080i
\(316\) 13.7328 + 22.6334i 0.772529 + 1.27323i
\(317\) 7.81668 + 7.81668i 0.439028 + 0.439028i 0.891685 0.452657i \(-0.149524\pi\)
−0.452657 + 0.891685i \(0.649524\pi\)
\(318\) −0.892715 0.502535i −0.0500609 0.0281807i
\(319\) 6.74867i 0.377853i
\(320\) 9.58999 15.1007i 0.536097 0.844157i
\(321\) 7.09921 0.396239
\(322\) −6.74648 + 11.9846i −0.375966 + 0.667876i
\(323\) −21.7438 21.7438i −1.20986 1.20986i
\(324\) 1.52165 + 2.50789i 0.0845363 + 0.139327i
\(325\) 17.3430 + 4.92158i 0.962014 + 0.273000i
\(326\) −3.51714 12.5770i −0.194797 0.696575i
\(327\) 5.45386 5.45386i 0.301599 0.301599i
\(328\) 21.3511 0.697386i 1.17892 0.0385067i
\(329\) 32.8501i 1.81109i
\(330\) 4.41970 11.7982i 0.243296 0.649472i
\(331\) −2.80448 −0.154148 −0.0770739 0.997025i \(-0.524558\pi\)
−0.0770739 + 0.997025i \(0.524558\pi\)
\(332\) 0.462629 1.89021i 0.0253901 0.103739i
\(333\) −3.07271 + 3.07271i −0.168384 + 0.168384i
\(334\) 10.8544 3.03541i 0.593925 0.166090i
\(335\) 1.84047 + 11.8339i 0.100555 + 0.646552i
\(336\) −17.2845 8.99992i −0.942948 0.490986i
\(337\) 5.84766 5.84766i 0.318542 0.318542i −0.529665 0.848207i \(-0.677682\pi\)
0.848207 + 0.529665i \(0.177682\pi\)
\(338\) −2.05657 + 18.2694i −0.111862 + 0.993724i
\(339\) −13.9548 −0.757920
\(340\) 14.3471 12.0760i 0.778083 0.654913i
\(341\) 15.0851 0.816903
\(342\) 14.7111 + 8.28132i 0.795487 + 0.447803i
\(343\) −9.69613 9.69613i −0.523542 0.523542i
\(344\) −1.60166 1.50034i −0.0863559 0.0808931i
\(345\) −4.94494 3.61383i −0.266227 0.194562i
\(346\) −1.49222 5.33605i −0.0802222 0.286868i
\(347\) −17.2927 17.2927i −0.928322 0.928322i 0.0692758 0.997598i \(-0.477931\pi\)
−0.997598 + 0.0692758i \(0.977931\pi\)
\(348\) 1.10513 4.51535i 0.0592414 0.242048i
\(349\) −32.9448 −1.76349 −0.881747 0.471722i \(-0.843633\pi\)
−0.881747 + 0.471722i \(0.843633\pi\)
\(350\) 16.1475 + 24.5787i 0.863122 + 1.31378i
\(351\) 19.1550 3.88907i 1.02242 0.207583i
\(352\) −16.1143 + 10.5120i −0.858897 + 0.560292i
\(353\) 16.6561 16.6561i 0.886515 0.886515i −0.107672 0.994187i \(-0.534340\pi\)
0.994187 + 0.107672i \(0.0343395\pi\)
\(354\) −2.73960 9.79656i −0.145608 0.520681i
\(355\) −11.7428 + 16.0682i −0.623245 + 0.852809i
\(356\) 18.2554 + 30.0874i 0.967536 + 1.59463i
\(357\) −14.4454 14.4454i −0.764530 0.764530i
\(358\) 11.2799 + 6.34977i 0.596161 + 0.335596i
\(359\) 9.59143i 0.506216i −0.967438 0.253108i \(-0.918547\pi\)
0.967438 0.253108i \(-0.0814528\pi\)
\(360\) −5.80003 + 8.50601i −0.305689 + 0.448306i
\(361\) −34.7769 −1.83037
\(362\) −14.3049 8.05266i −0.751851 0.423239i
\(363\) −0.470428 + 0.470428i −0.0246911 + 0.0246911i
\(364\) −22.0321 + 20.3478i −1.15480 + 1.06651i
\(365\) 2.04363 + 13.1401i 0.106968 + 0.687785i
\(366\) 12.9599 3.62421i 0.677423 0.189440i
\(367\) −5.20933 5.20933i −0.271925 0.271925i 0.557950 0.829875i \(-0.311588\pi\)
−0.829875 + 0.557950i \(0.811588\pi\)
\(368\) 2.81166 + 8.92051i 0.146568 + 0.465014i
\(369\) −12.2946 −0.640033
\(370\) 7.90522 + 2.96134i 0.410973 + 0.153953i
\(371\) −2.57190 −0.133526
\(372\) 10.0930 + 2.47027i 0.523299 + 0.128078i
\(373\) 4.85688 + 4.85688i 0.251480 + 0.251480i 0.821577 0.570097i \(-0.193095\pi\)
−0.570097 + 0.821577i \(0.693095\pi\)
\(374\) −19.4243 + 5.43198i −1.00441 + 0.280881i
\(375\) −11.7185 + 5.84787i −0.605143 + 0.301983i
\(376\) 16.3045 + 15.2731i 0.840840 + 0.787650i
\(377\) −5.96420 3.95108i −0.307172 0.203491i
\(378\) 27.7849 + 15.6409i 1.42910 + 0.804481i
\(379\) 21.2083i 1.08940i −0.838632 0.544699i \(-0.816644\pi\)
0.838632 0.544699i \(-0.183356\pi\)
\(380\) 2.80851 32.6749i 0.144074 1.67619i
\(381\) −5.88741 −0.301621
\(382\) 8.84453 15.7116i 0.452526 0.803877i
\(383\) 23.7062 + 23.7062i 1.21133 + 1.21133i 0.970590 + 0.240739i \(0.0773898\pi\)
0.240739 + 0.970590i \(0.422610\pi\)
\(384\) −12.5031 + 4.39448i −0.638045 + 0.224255i
\(385\) −4.86084 31.2543i −0.247731 1.59287i
\(386\) 16.6435 4.65433i 0.847131 0.236899i
\(387\) 0.893115 + 0.893115i 0.0453996 + 0.0453996i
\(388\) 2.44592 9.99354i 0.124173 0.507345i
\(389\) 12.0053i 0.608695i 0.952561 + 0.304347i \(0.0984384\pi\)
−0.952561 + 0.304347i \(0.901562\pi\)
\(390\) −7.83925 10.8134i −0.396956 0.547556i
\(391\) 9.80505i 0.495862i
\(392\) −29.1090 + 0.950778i −1.47023 + 0.0480215i
\(393\) 9.06308 + 9.06308i 0.457172 + 0.457172i
\(394\) −3.36532 12.0341i −0.169543 0.606270i
\(395\) −17.4644 + 23.8971i −0.878727 + 1.20239i
\(396\) 9.46673 5.74392i 0.475721 0.288643i
\(397\) 6.52656 + 6.52656i 0.327559 + 0.327559i 0.851657 0.524099i \(-0.175598\pi\)
−0.524099 + 0.851657i \(0.675598\pi\)
\(398\) −7.53435 4.24130i −0.377663 0.212597i
\(399\) −35.7264 −1.78856
\(400\) 19.7066 + 3.41291i 0.985332 + 0.170646i
\(401\) 10.7459i 0.536623i −0.963332 0.268312i \(-0.913534\pi\)
0.963332 0.268312i \(-0.0864657\pi\)
\(402\) 4.35241 7.73172i 0.217078 0.385623i
\(403\) 8.83173 13.3316i 0.439940 0.664093i
\(404\) 2.25040 + 3.70896i 0.111962 + 0.184528i
\(405\) −1.93513 + 2.64791i −0.0961574 + 0.131576i
\(406\) −3.14307 11.2393i −0.155988 0.557799i
\(407\) −6.42010 6.42010i −0.318233 0.318233i
\(408\) −13.8858 + 0.453548i −0.687449 + 0.0224540i
\(409\) 25.0704 1.23965 0.619827 0.784739i \(-0.287203\pi\)
0.619827 + 0.784739i \(0.287203\pi\)
\(410\) 9.89079 + 21.7398i 0.488471 + 1.07365i
\(411\) 1.30711 0.0644748
\(412\) −36.5922 8.95596i −1.80277 0.441228i
\(413\) −18.0582 18.0582i −0.888588 0.888588i
\(414\) −1.44971 5.18405i −0.0712496 0.254782i
\(415\) 2.14985 0.334356i 0.105532 0.0164129i
\(416\) −0.144237 + 20.3956i −0.00707182 + 0.999975i
\(417\) 12.0947 12.0947i 0.592278 0.592278i
\(418\) −17.3029 + 30.7374i −0.846315 + 1.50341i
\(419\) 23.3976 1.14305 0.571523 0.820586i \(-0.306353\pi\)
0.571523 + 0.820586i \(0.306353\pi\)
\(420\) 1.86582 21.7074i 0.0910426 1.05921i
\(421\) 18.3566i 0.894645i −0.894373 0.447322i \(-0.852378\pi\)
0.894373 0.447322i \(-0.147622\pi\)
\(422\) 5.28062 9.38061i 0.257056 0.456641i
\(423\) −9.09167 9.09167i −0.442052 0.442052i
\(424\) −1.19576 + 1.27651i −0.0580712 + 0.0619928i
\(425\) 18.6277 + 9.62262i 0.903578 + 0.466765i
\(426\) 14.1996 3.97090i 0.687972 0.192391i
\(427\) 23.8892 23.8892i 1.15608 1.15608i
\(428\) 2.88155 11.7734i 0.139285 0.569089i
\(429\) 2.85823 + 14.0777i 0.137996 + 0.679679i
\(430\) 0.860744 2.29773i 0.0415088 0.110806i
\(431\) 11.6050 0.558995 0.279498 0.960146i \(-0.409832\pi\)
0.279498 + 0.960146i \(0.409832\pi\)
\(432\) 20.6811 6.51850i 0.995022 0.313622i
\(433\) 7.37080 + 7.37080i 0.354218 + 0.354218i 0.861676 0.507458i \(-0.169415\pi\)
−0.507458 + 0.861676i \(0.669415\pi\)
\(434\) 25.1229 7.02560i 1.20594 0.337240i
\(435\) 5.13558 0.798715i 0.246232 0.0382954i
\(436\) −6.83104 11.2584i −0.327147 0.539182i
\(437\) 12.1249 + 12.1249i 0.580015 + 0.580015i
\(438\) 4.83284 8.58518i 0.230922 0.410216i
\(439\) 12.3992 0.591780 0.295890 0.955222i \(-0.404384\pi\)
0.295890 + 0.955222i \(0.404384\pi\)
\(440\) −17.7724 12.1186i −0.847266 0.577729i
\(441\) 16.7618 0.798182
\(442\) −6.57160 + 20.3466i −0.312579 + 0.967790i
\(443\) −7.43297 + 7.43297i −0.353151 + 0.353151i −0.861281 0.508130i \(-0.830337\pi\)
0.508130 + 0.861281i \(0.330337\pi\)
\(444\) −3.24419 5.34685i −0.153962 0.253750i
\(445\) −23.2159 + 31.7672i −1.10054 + 1.50591i
\(446\) 4.04365 + 14.4597i 0.191472 + 0.684688i
\(447\) −10.8944 + 10.8944i −0.515286 + 0.515286i
\(448\) −21.9413 + 25.0118i −1.03663 + 1.18170i
\(449\) 20.8335 0.983195 0.491598 0.870822i \(-0.336413\pi\)
0.491598 + 0.870822i \(0.336413\pi\)
\(450\) −11.2715 2.33341i −0.531342 0.109998i
\(451\) 25.6883i 1.20962i
\(452\) −5.66421 + 23.1428i −0.266422 + 1.08855i
\(453\) −0.972372 + 0.972372i −0.0456860 + 0.0456860i
\(454\) −23.0297 + 6.44024i −1.08084 + 0.302255i
\(455\) −30.4671 14.0023i −1.42832 0.656440i
\(456\) −16.6104 + 17.7321i −0.777851 + 0.830381i
\(457\) −21.5022 21.5022i −1.00583 1.00583i −0.999983 0.00584703i \(-0.998139\pi\)
−0.00584703 0.999983i \(-0.501861\pi\)
\(458\) 2.36544 + 1.33158i 0.110530 + 0.0622204i
\(459\) 22.7318 1.06103
\(460\) −8.00036 + 6.73391i −0.373019 + 0.313970i
\(461\) 0.539391i 0.0251219i −0.999921 0.0125610i \(-0.996002\pi\)
0.999921 0.0125610i \(-0.00399838\pi\)
\(462\) −11.4951 + 20.4202i −0.534800 + 0.950032i
\(463\) 17.7638 + 17.7638i 0.825555 + 0.825555i 0.986898 0.161344i \(-0.0515827\pi\)
−0.161344 + 0.986898i \(0.551583\pi\)
\(464\) −7.03974 3.66554i −0.326812 0.170168i
\(465\) 1.78534 + 11.4794i 0.0827932 + 0.532345i
\(466\) 10.1015 + 36.1222i 0.467945 + 1.67333i
\(467\) 3.70108 + 3.70108i 0.171266 + 0.171266i 0.787535 0.616270i \(-0.211357\pi\)
−0.616270 + 0.787535i \(0.711357\pi\)
\(468\) 0.466162 11.7292i 0.0215484 0.542180i
\(469\) 22.2750i 1.02856i
\(470\) −8.76215 + 23.3903i −0.404168 + 1.07891i
\(471\) 0.826463i 0.0380814i
\(472\) −17.3587 + 0.566983i −0.799000 + 0.0260975i
\(473\) −1.86607 + 1.86607i −0.0858019 + 0.0858019i
\(474\) 21.1181 5.90566i 0.969987 0.271256i
\(475\) 34.9345 11.1358i 1.60290 0.510944i
\(476\) −29.8197 + 18.0930i −1.36678 + 0.829293i
\(477\) 0.711804 0.711804i 0.0325913 0.0325913i
\(478\) −12.5325 + 22.2631i −0.573224 + 1.01829i
\(479\) 17.2329i 0.787393i 0.919240 + 0.393697i \(0.128804\pi\)
−0.919240 + 0.393697i \(0.871196\pi\)
\(480\) −9.90655 11.0185i −0.452170 0.502925i
\(481\) −9.43255 + 1.91511i −0.430087 + 0.0873214i
\(482\) 12.5638 22.3187i 0.572267 1.01659i
\(483\) 8.05513 + 8.05513i 0.366521 + 0.366521i
\(484\) 0.589218 + 0.971109i 0.0267826 + 0.0441413i
\(485\) 11.3663 1.76774i 0.516115 0.0802691i
\(486\) −19.8097 + 5.53976i −0.898586 + 0.251289i
\(487\) −21.1196 + 21.1196i −0.957019 + 0.957019i −0.999114 0.0420947i \(-0.986597\pi\)
0.0420947 + 0.999114i \(0.486597\pi\)
\(488\) −0.750061 22.9638i −0.0339537 1.03952i
\(489\) −10.8173 −0.489173
\(490\) −13.4846 29.6389i −0.609170 1.33895i
\(491\) 16.7896i 0.757704i 0.925457 + 0.378852i \(0.123681\pi\)
−0.925457 + 0.378852i \(0.876319\pi\)
\(492\) 4.20662 17.1874i 0.189649 0.774867i
\(493\) −5.88339 5.88339i −0.264975 0.264975i
\(494\) 17.0342 + 33.2872i 0.766406 + 1.49766i
\(495\) 9.99529 + 7.30470i 0.449255 + 0.328322i
\(496\) 8.19346 15.7357i 0.367897 0.706554i
\(497\) 26.1744 26.1744i 1.17408 1.17408i
\(498\) −1.40462 0.790699i −0.0629424 0.0354321i
\(499\) 33.8593i 1.51575i 0.652399 + 0.757876i \(0.273763\pi\)
−0.652399 + 0.757876i \(0.726237\pi\)
\(500\) 4.94164 + 21.8078i 0.220997 + 0.975274i
\(501\) 9.33566i 0.417086i
\(502\) 4.48293 7.96359i 0.200083 0.355432i
\(503\) 9.11180 9.11180i 0.406275 0.406275i −0.474162 0.880437i \(-0.657249\pi\)
0.880437 + 0.474162i \(0.157249\pi\)
\(504\) 13.0909 13.9750i 0.583116 0.622495i
\(505\) −2.86190 + 3.91605i −0.127353 + 0.174262i
\(506\) 10.8315 3.02902i 0.481520 0.134657i
\(507\) 14.1147 + 5.71598i 0.626856 + 0.253856i
\(508\) −2.38968 + 9.76375i −0.106025 + 0.433196i
\(509\) 28.4383 1.26051 0.630253 0.776390i \(-0.282951\pi\)
0.630253 + 0.776390i \(0.282951\pi\)
\(510\) −6.43251 14.1386i −0.284836 0.626066i
\(511\) 24.7338i 1.09416i
\(512\) 2.21289 + 22.5190i 0.0977967 + 0.995206i
\(513\) 28.1102 28.1102i 1.24110 1.24110i
\(514\) −20.1938 + 5.64716i −0.890709 + 0.249086i
\(515\) −6.47274 41.6185i −0.285223 1.83393i
\(516\) −1.55412 + 0.942956i −0.0684161 + 0.0415113i
\(517\) 18.9961 18.9961i 0.835446 0.835446i
\(518\) −13.6822 7.70210i −0.601161 0.338411i
\(519\) −4.58944 −0.201454
\(520\) −21.1149 + 8.61159i −0.925951 + 0.377643i
\(521\) −16.5062 −0.723149 −0.361574 0.932343i \(-0.617761\pi\)
−0.361574 + 0.932343i \(0.617761\pi\)
\(522\) 3.98050 + 2.24074i 0.174222 + 0.0980745i
\(523\) −26.6496 + 26.6496i −1.16531 + 1.16531i −0.182010 + 0.983297i \(0.558260\pi\)
−0.983297 + 0.182010i \(0.941740\pi\)
\(524\) 18.7090 11.3516i 0.817306 0.495899i
\(525\) 23.2085 7.39798i 1.01290 0.322874i
\(526\) 12.5853 3.51946i 0.548744 0.153456i
\(527\) 13.1510 13.1510i 0.572865 0.572865i
\(528\) 4.79070 + 15.1994i 0.208488 + 0.661468i
\(529\) 17.5324i 0.762280i
\(530\) −1.83127 0.686005i −0.0795453 0.0297982i
\(531\) 9.99568 0.433776
\(532\) −14.5012 + 59.2490i −0.628708 + 2.56877i
\(533\) −22.7023 15.0395i −0.983346 0.651434i
\(534\) 28.0730 7.85059i 1.21484 0.339728i
\(535\) 13.3906 2.08258i 0.578927 0.0900379i
\(536\) −11.0557 10.3564i −0.477535 0.447327i
\(537\) 7.58148 7.58148i 0.327165 0.327165i
\(538\) 20.1555 35.8047i 0.868966 1.54365i
\(539\) 35.0220i 1.50851i
\(540\) 15.6118 + 18.5479i 0.671823 + 0.798174i
\(541\) 5.74827i 0.247137i −0.992336 0.123569i \(-0.960566\pi\)
0.992336 0.123569i \(-0.0394339\pi\)
\(542\) −7.90001 4.44714i −0.339335 0.191021i
\(543\) −9.61469 + 9.61469i −0.412606 + 0.412606i
\(544\) −4.88404 + 23.2125i −0.209401 + 0.995226i
\(545\) 8.68722 11.8870i 0.372120 0.509185i
\(546\) 11.3166 + 22.1141i 0.484305 + 0.946397i
\(547\) 5.92809 + 5.92809i 0.253467 + 0.253467i 0.822390 0.568924i \(-0.192640\pi\)
−0.568924 + 0.822390i \(0.692640\pi\)
\(548\) 0.530551 2.16772i 0.0226640 0.0926004i
\(549\) 13.2233i 0.564355i
\(550\) 4.87542 23.5505i 0.207889 1.00420i
\(551\) −14.5508 −0.619886
\(552\) 7.74310 0.252911i 0.329568 0.0107646i
\(553\) 38.9276 38.9276i 1.65537 1.65537i
\(554\) −8.02231 + 2.24343i −0.340835 + 0.0953142i
\(555\) 4.12573 5.64538i 0.175127 0.239633i
\(556\) −15.1487 24.9671i −0.642450 1.05884i
\(557\) −19.7561 19.7561i −0.837091 0.837091i 0.151384 0.988475i \(-0.451627\pi\)
−0.988475 + 0.151384i \(0.951627\pi\)
\(558\) −5.00866 + 8.89750i −0.212033 + 0.376661i
\(559\) 0.556645 + 2.74166i 0.0235436 + 0.115960i
\(560\) −35.2424 11.9053i −1.48927 0.503089i
\(561\) 16.7065i 0.705349i
\(562\) 1.48328 2.63494i 0.0625686 0.111148i
\(563\) −18.8438 + 18.8438i −0.794170 + 0.794170i −0.982169 0.187999i \(-0.939800\pi\)
0.187999 + 0.982169i \(0.439800\pi\)
\(564\) 15.8205 9.59904i 0.666162 0.404192i
\(565\) −26.3217 + 4.09370i −1.10736 + 0.172223i
\(566\) −28.1017 + 7.85860i −1.18120 + 0.330322i
\(567\) 4.31335 4.31335i 0.181144 0.181144i
\(568\) −0.821811 25.1605i −0.0344824 1.05571i
\(569\) 6.29158i 0.263757i 0.991266 + 0.131878i \(0.0421009\pi\)
−0.991266 + 0.131878i \(0.957899\pi\)
\(570\) −25.4383 9.52933i −1.06549 0.399140i
\(571\) 1.50121i 0.0628236i 0.999507 + 0.0314118i \(0.0100003\pi\)
−0.999507 + 0.0314118i \(0.990000\pi\)
\(572\) 24.5068 + 0.973997i 1.02468 + 0.0407248i
\(573\) −10.5602 10.5602i −0.441157 0.441157i
\(574\) −11.9639 42.7818i −0.499362 1.78568i
\(575\) −10.3873 5.36584i −0.433182 0.223771i
\(576\) −0.849801 12.9948i −0.0354084 0.541452i
\(577\) 28.7928 + 28.7928i 1.19866 + 1.19866i 0.974569 + 0.224089i \(0.0719407\pi\)
0.224089 + 0.974569i \(0.428059\pi\)
\(578\) −0.404798 + 0.719093i −0.0168374 + 0.0299103i
\(579\) 14.3148i 0.594902i
\(580\) 0.759921 8.84110i 0.0315540 0.367107i
\(581\) −4.04668 −0.167885
\(582\) −7.42621 4.18043i −0.307826 0.173284i
\(583\) 1.48724 + 1.48724i 0.0615951 + 0.0615951i
\(584\) −12.2761 11.4995i −0.507989 0.475854i
\(585\) 12.3075 4.55682i 0.508851 0.188401i
\(586\) 21.5749 6.03339i 0.891250 0.249237i
\(587\) 12.4530 12.4530i 0.513991 0.513991i −0.401756 0.915747i \(-0.631600\pi\)
0.915747 + 0.401756i \(0.131600\pi\)
\(588\) −5.73507 + 23.4323i −0.236510 + 0.966332i
\(589\) 32.5250i 1.34017i
\(590\) −8.04133 17.6747i −0.331056 0.727657i
\(591\) −10.3503 −0.425755
\(592\) −10.1841 + 3.20993i −0.418563 + 0.131927i
\(593\) −11.1783 + 11.1783i −0.459037 + 0.459037i −0.898339 0.439303i \(-0.855226\pi\)
0.439303 + 0.898339i \(0.355226\pi\)
\(594\) −7.02243 25.1116i −0.288134 1.03034i
\(595\) −31.4846 23.0094i −1.29074 0.943294i
\(596\) 13.6454 + 22.4894i 0.558936 + 0.921200i
\(597\) −5.06402 + 5.06402i −0.207256 + 0.207256i
\(598\) 3.66451 11.3458i 0.149853 0.463966i
\(599\) 2.19935 0.0898631 0.0449316 0.998990i \(-0.485693\pi\)
0.0449316 + 0.998990i \(0.485693\pi\)
\(600\) 7.11855 14.9586i 0.290614 0.610684i
\(601\) −46.4120 −1.89319 −0.946593 0.322432i \(-0.895500\pi\)
−0.946593 + 0.322432i \(0.895500\pi\)
\(602\) −2.23869 + 3.97687i −0.0912423 + 0.162085i
\(603\) 6.16487 + 6.16487i 0.251053 + 0.251053i
\(604\) 1.21791 + 2.00728i 0.0495560 + 0.0816749i
\(605\) −0.749325 + 1.02533i −0.0304644 + 0.0416856i
\(606\) 3.46065 0.967766i 0.140579 0.0393128i
\(607\) 18.8555 + 18.8555i 0.765320 + 0.765320i 0.977279 0.211958i \(-0.0679841\pi\)
−0.211958 + 0.977279i \(0.567984\pi\)
\(608\) 22.6650 + 34.7442i 0.919186 + 1.40906i
\(609\) −9.66675 −0.391717
\(610\) 23.3819 10.6379i 0.946704 0.430714i
\(611\) −5.66650 27.9094i −0.229242 1.12909i
\(612\) 3.24550 13.2604i 0.131191 0.536021i
\(613\) −15.9427 + 15.9427i −0.643918 + 0.643918i −0.951516 0.307598i \(-0.900475\pi\)
0.307598 + 0.951516i \(0.400475\pi\)
\(614\) 33.4416 9.35191i 1.34959 0.377412i
\(615\) 19.5482 3.04025i 0.788261 0.122595i
\(616\) 29.1992 + 27.3521i 1.17647 + 1.10205i
\(617\) −23.2627 23.2627i −0.936521 0.936521i 0.0615814 0.998102i \(-0.480386\pi\)
−0.998102 + 0.0615814i \(0.980386\pi\)
\(618\) −15.3070 + 27.1917i −0.615737 + 1.09381i
\(619\) 25.4127i 1.02142i −0.859753 0.510711i \(-0.829382\pi\)
0.859753 0.510711i \(-0.170618\pi\)
\(620\) 19.7622 + 1.69863i 0.793671 + 0.0682185i
\(621\) −12.6759 −0.508666
\(622\) 3.08090 5.47299i 0.123533 0.219447i
\(623\) 51.7477 51.7477i 2.07323 2.07323i
\(624\) 16.2374 + 4.66482i 0.650015 + 0.186742i
\(625\) −20.3882 + 14.4680i −0.815526 + 0.578720i
\(626\) 0.517638 + 1.85103i 0.0206890 + 0.0739819i
\(627\) 20.6593 + 20.6593i 0.825053 + 0.825053i
\(628\) −1.37062 0.335459i −0.0546935 0.0133863i
\(629\) −11.1939 −0.446330
\(630\) 20.0484 + 7.51024i 0.798746 + 0.299215i
\(631\) −13.3790 −0.532611 −0.266306 0.963889i \(-0.585803\pi\)
−0.266306 + 0.963889i \(0.585803\pi\)
\(632\) −1.22223 37.4196i −0.0486176 1.48847i
\(633\) −6.30493 6.30493i −0.250599 0.250599i
\(634\) −4.21032 15.0557i −0.167213 0.597939i
\(635\) −11.1049 + 1.72710i −0.440685 + 0.0685378i
\(636\) 0.751527 + 1.23862i 0.0298000 + 0.0491143i
\(637\) 30.9511 + 20.5040i 1.22633 + 0.812400i
\(638\) −4.68179 + 8.31684i −0.185354 + 0.329267i
\(639\) 14.4882i 0.573144i
\(640\) −22.2943 + 11.9567i −0.881260 + 0.472632i
\(641\) 11.8619 0.468515 0.234257 0.972175i \(-0.424734\pi\)
0.234257 + 0.972175i \(0.424734\pi\)
\(642\) −8.74884 4.92497i −0.345289 0.194373i
\(643\) −9.06620 9.06620i −0.357536 0.357536i 0.505368 0.862904i \(-0.331357\pi\)
−0.862904 + 0.505368i \(0.831357\pi\)
\(644\) 16.6283 10.0892i 0.655246 0.397569i
\(645\) −1.64089 1.19918i −0.0646099 0.0472178i
\(646\) 11.7119 + 41.8808i 0.460800 + 1.64778i
\(647\) −9.84858 9.84858i −0.387188 0.387188i 0.486495 0.873683i \(-0.338275\pi\)
−0.873683 + 0.486495i \(0.838275\pi\)
\(648\) −0.135428 4.14626i −0.00532012 0.162881i
\(649\) 20.8849i 0.819804i
\(650\) −17.9586 18.0966i −0.704396 0.709808i
\(651\) 21.6078i 0.846876i
\(652\) −4.39069 + 17.9395i −0.171953 + 0.702563i
\(653\) 15.5910 + 15.5910i 0.610124 + 0.610124i 0.942978 0.332854i \(-0.108012\pi\)
−0.332854 + 0.942978i \(0.608012\pi\)
\(654\) −10.5047 + 2.93763i −0.410766 + 0.114870i
\(655\) 19.7536 + 14.4362i 0.771836 + 0.564069i
\(656\) −26.7963 13.9526i −1.04622 0.544758i
\(657\) 6.84537 + 6.84537i 0.267063 + 0.267063i
\(658\) 22.7893 40.4834i 0.888419 1.57821i
\(659\) 21.0850 0.821357 0.410678 0.911780i \(-0.365292\pi\)
0.410678 + 0.911780i \(0.365292\pi\)
\(660\) −13.6316 + 11.4737i −0.530608 + 0.446612i
\(661\) 45.4347i 1.76721i −0.468237 0.883603i \(-0.655111\pi\)
0.468237 0.883603i \(-0.344889\pi\)
\(662\) 3.45615 + 1.94556i 0.134327 + 0.0756165i
\(663\) 14.7645 + 9.78100i 0.573407 + 0.379863i
\(664\) −1.88143 + 2.00849i −0.0730138 + 0.0779445i
\(665\) −67.3875 + 10.4805i −2.61318 + 0.406416i
\(666\) 5.91836 1.65506i 0.229332 0.0641324i
\(667\) 3.28074 + 3.28074i 0.127031 + 0.127031i
\(668\) −15.4824 3.78932i −0.599031 0.146613i
\(669\) 12.4366 0.480825
\(670\) 5.94143 15.8605i 0.229537 0.612743i
\(671\) −27.6286 −1.06659
\(672\) 15.0573 + 23.0821i 0.580849 + 0.890411i
\(673\) 23.8509 + 23.8509i 0.919385 + 0.919385i 0.996985 0.0775994i \(-0.0247255\pi\)
−0.0775994 + 0.996985i \(0.524726\pi\)
\(674\) −11.2632 + 3.14974i −0.433842 + 0.121323i
\(675\) −12.4400 + 24.0818i −0.478818 + 0.926909i
\(676\) 15.2086 21.0879i 0.584945 0.811073i
\(677\) 29.0222 29.0222i 1.11541 1.11541i 0.123009 0.992406i \(-0.460746\pi\)
0.992406 0.123009i \(-0.0392545\pi\)
\(678\) 17.1974 + 9.68093i 0.660464 + 0.371794i
\(679\) −21.3948 −0.821057
\(680\) −26.0585 + 4.92895i −0.999298 + 0.189016i
\(681\) 19.8075i 0.759023i
\(682\) −18.5904 10.4651i −0.711862 0.400728i
\(683\) 12.9148 + 12.9148i 0.494172 + 0.494172i 0.909618 0.415446i \(-0.136375\pi\)
−0.415446 + 0.909618i \(0.636375\pi\)
\(684\) −12.3845 20.4113i −0.473533 0.780445i
\(685\) 2.46548 0.383445i 0.0942011 0.0146507i
\(686\) 5.22265 + 18.6758i 0.199402 + 0.713044i
\(687\) 1.58987 1.58987i 0.0606573 0.0606573i
\(688\) 0.932998 + 2.96011i 0.0355702 + 0.112853i
\(689\) 2.18508 0.443641i 0.0832450 0.0169014i
\(690\) 3.58695 + 7.88406i 0.136553 + 0.300141i
\(691\) −46.8753 −1.78322 −0.891611 0.452803i \(-0.850424\pi\)
−0.891611 + 0.452803i \(0.850424\pi\)
\(692\) −1.86284 + 7.61118i −0.0708146 + 0.289334i
\(693\) −16.2820 16.2820i −0.618501 0.618501i
\(694\) 9.31442 + 33.3076i 0.353571 + 1.26434i
\(695\) 19.2651 26.3611i 0.730766 0.999935i
\(696\) −4.49439 + 4.79790i −0.170359 + 0.181864i
\(697\) −22.3947 22.3947i −0.848260 0.848260i
\(698\) 40.6001 + 22.8550i 1.53674 + 0.865074i
\(699\) 31.0681 1.17510
\(700\) −2.84863 41.4921i −0.107668 1.56825i
\(701\) −28.4061 −1.07288 −0.536441 0.843938i \(-0.680232\pi\)
−0.536441 + 0.843938i \(0.680232\pi\)
\(702\) −26.3040 8.49572i −0.992779 0.320650i
\(703\) −13.8424 + 13.8424i −0.522077 + 0.522077i
\(704\) 27.1513 1.77557i 1.02330 0.0669192i
\(705\) 16.7038 + 12.2074i 0.629101 + 0.459756i
\(706\) −32.0814 + 8.97152i −1.20740 + 0.337648i
\(707\) 6.37910 6.37910i 0.239911 0.239911i
\(708\) −3.42003 + 13.9735i −0.128533 + 0.525157i
\(709\) 17.7546 0.666789 0.333395 0.942787i \(-0.391806\pi\)
0.333395 + 0.942787i \(0.391806\pi\)
\(710\) 25.6185 11.6555i 0.961446 0.437422i
\(711\) 21.5473i 0.808089i
\(712\) −1.62475 49.7431i −0.0608899 1.86420i
\(713\) −7.33333 + 7.33333i −0.274636 + 0.274636i
\(714\) 7.78075 + 27.8233i 0.291187 + 1.04126i
\(715\) 9.52098 + 25.7151i 0.356065 + 0.961691i
\(716\) −9.49591 15.6505i −0.354879 0.584887i
\(717\) 14.9635 + 14.9635i 0.558823 + 0.558823i
\(718\) −6.65391 + 11.8202i −0.248322 + 0.441125i
\(719\) −37.6027 −1.40234 −0.701172 0.712992i \(-0.747340\pi\)
−0.701172 + 0.712992i \(0.747340\pi\)
\(720\) 13.0487 6.45885i 0.486296 0.240707i
\(721\) 78.3389i 2.91749i
\(722\) 42.8580 + 24.1260i 1.59501 + 0.897877i
\(723\) −15.0009 15.0009i −0.557890 0.557890i
\(724\) 12.0425 + 19.8477i 0.447557 + 0.737634i
\(725\) 9.45249 3.01309i 0.351057 0.111903i
\(726\) 0.906093 0.253388i 0.0336283 0.00940411i
\(727\) −19.3815 19.3815i −0.718821 0.718821i 0.249543 0.968364i \(-0.419720\pi\)
−0.968364 + 0.249543i \(0.919720\pi\)
\(728\) 41.2677 9.79150i 1.52948 0.362897i
\(729\) 21.4381i 0.794004i
\(730\) 6.59727 17.6112i 0.244176 0.651820i
\(731\) 3.25362i 0.120340i
\(732\) −18.4856 4.52435i −0.683246 0.167225i
\(733\) 9.74025 9.74025i 0.359764 0.359764i −0.503962 0.863726i \(-0.668125\pi\)
0.863726 + 0.503962i \(0.168125\pi\)
\(734\) 2.80592 + 10.0337i 0.103568 + 0.370351i
\(735\) −26.6510 + 4.14491i −0.983036 + 0.152887i
\(736\) 2.72347 12.9439i 0.100389 0.477119i
\(737\) −12.8808 + 12.8808i −0.474472 + 0.474472i
\(738\) 15.1515 + 8.52922i 0.557735 + 0.313965i
\(739\) 16.2811i 0.598908i −0.954111 0.299454i \(-0.903195\pi\)
0.954111 0.299454i \(-0.0968046\pi\)
\(740\) −7.68775 9.13360i −0.282607 0.335758i
\(741\) 30.3531 6.16264i 1.11505 0.226390i
\(742\) 3.16952 + 1.78422i 0.116357 + 0.0655007i
\(743\) −16.8082 16.8082i −0.616634 0.616634i 0.328033 0.944666i \(-0.393614\pi\)
−0.944666 + 0.328033i \(0.893614\pi\)
\(744\) −10.7246 10.0462i −0.393183 0.368311i
\(745\) −17.3532 + 23.7450i −0.635772 + 0.869950i
\(746\) −2.61607 9.35485i −0.0957812 0.342505i
\(747\) 1.11997 1.11997i 0.0409775 0.0409775i
\(748\) 27.7062 + 6.78112i 1.01304 + 0.247942i
\(749\) −25.2053 −0.920981
\(750\) 18.4984 + 0.922844i 0.675467 + 0.0336975i
\(751\) 17.9246i 0.654080i 0.945011 + 0.327040i \(0.106051\pi\)
−0.945011 + 0.327040i \(0.893949\pi\)
\(752\) −9.49766 30.1331i −0.346344 1.09884i
\(753\) −5.35252 5.35252i −0.195057 0.195057i
\(754\) 4.60908 + 9.00676i 0.167853 + 0.328007i
\(755\) −1.54885 + 2.11935i −0.0563684 + 0.0771310i
\(756\) −23.3905 38.5507i −0.850706 1.40208i
\(757\) 26.9558 26.9558i 0.979726 0.979726i −0.0200726 0.999799i \(-0.506390\pi\)
0.999799 + 0.0200726i \(0.00638974\pi\)
\(758\) −14.7130 + 26.1364i −0.534399 + 0.949318i
\(759\) 9.31600i 0.338149i
\(760\) −26.1289 + 38.3192i −0.947794 + 1.38998i
\(761\) 39.0244i 1.41463i 0.706897 + 0.707316i \(0.250094\pi\)
−0.706897 + 0.707316i \(0.749906\pi\)
\(762\) 7.25546 + 4.08431i 0.262837 + 0.147959i
\(763\) −19.3636 + 19.3636i −0.701008 + 0.701008i
\(764\) −21.7994 + 13.2268i −0.788676 + 0.478527i
\(765\) 15.0819 2.34562i 0.545287 0.0848061i
\(766\) −12.7689 45.6605i −0.461360 1.64978i
\(767\) 18.4572 + 12.2273i 0.666452 + 0.441502i
\(768\) 18.4570 + 3.25821i 0.666009 + 0.117571i
\(769\) −0.308598 −0.0111283 −0.00556416 0.999985i \(-0.501771\pi\)
−0.00556416 + 0.999985i \(0.501771\pi\)
\(770\) −15.6918 + 41.8889i −0.565495 + 1.50957i
\(771\) 17.3683i 0.625504i
\(772\) −23.7398 5.81033i −0.854413 0.209118i
\(773\) 7.48016 7.48016i 0.269043 0.269043i −0.559672 0.828714i \(-0.689073\pi\)
0.828714 + 0.559672i \(0.189073\pi\)
\(774\) −0.481061 1.72023i −0.0172914 0.0618324i
\(775\) 6.73506 + 21.1288i 0.241931 + 0.758971i