Properties

Label 260.2.p.d.103.11
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 103.11
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.693735 - 1.23237i) q^{2} +(0.828304 - 0.828304i) q^{3} +(-1.03746 + 1.70987i) q^{4} +(-1.31937 + 1.80534i) q^{5} +(-1.59540 - 0.446152i) q^{6} +(-2.94084 + 2.94084i) q^{7} +(2.82692 + 0.0923349i) q^{8} +1.62783i q^{9} +O(q^{10})\) \(q+(-0.693735 - 1.23237i) 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} +(2.82692 + 0.0923349i) q^{8} +1.62783i q^{9} +(3.14014 + 0.373519i) q^{10} +3.40117 q^{11} +(0.556962 + 2.27563i) 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} +(2.00608 - 1.12928i) q^{18} -7.33328i q^{19} +(-1.71811 - 4.12893i) q^{20} +4.87182i q^{21} +(-2.35951 - 4.19149i) q^{22} +(-1.65342 + 1.65342i) q^{23} +(2.41803 - 2.26507i) q^{24} +(-1.51853 - 4.76383i) q^{25} +(5.08567 + 0.368715i) q^{26} +(3.83325 + 3.83325i) q^{27} +(-1.97746 - 8.07948i) q^{28} +1.98422i q^{29} +(2.91038 - 2.29160i) q^{30} +4.43526 q^{31} +(-3.09070 + 4.73788i) 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} +(-9.03730 + 5.08735i) q^{38} +(0.840366 + 4.13909i) q^{39} +(-3.89645 + 4.98174i) q^{40} +7.55280i q^{41} +(6.00387 - 3.37975i) 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} +(-4.46887 - 1.40855i) q^{48} -10.2971i q^{49} +(-4.81734 + 5.17622i) q^{50} +4.91199i q^{51} +(-3.07372 - 6.52321i) 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} +(2.44529 - 1.37652i) q^{58} +6.14051i q^{59} +(-4.84313 - 1.99689i) q^{60} +8.12327 q^{61} +(-3.07690 - 5.46588i) 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} +(-1.99376 - 8.14610i) q^{68} +2.73906i q^{69} +(-10.3331 + 8.13619i) q^{70} -8.90033 q^{71} +(-0.150305 + 4.60173i) 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} +(4.51789 - 3.90707i) q^{78} -13.2369 q^{79} +(8.84244 + 1.34585i) q^{80} +1.46671 q^{81} +(9.30783 - 5.23964i) 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} +(9.61483 + 0.314046i) q^{88} +17.5962 q^{89} +(-0.608024 + 5.11160i) q^{90} +(-2.98367 - 14.6956i) q^{91} +(-1.11178 - 4.54249i) 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} +(-12.6898 + 7.14344i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.693735 1.23237i −0.490545 0.871416i
\(3\) 0.828304 0.828304i 0.478221 0.478221i −0.426341 0.904562i \(-0.640198\pi\)
0.904562 + 0.426341i \(0.140198\pi\)
\(4\) −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 \(0.537837\pi\)
−0.992943 + 0.118589i \(0.962163\pi\)
\(8\) 2.82692 + 0.0923349i 0.999467 + 0.0326453i
\(9\) 1.62783i 0.542609i
\(10\) 3.14014 + 0.373519i 0.993000 + 0.118117i
\(11\) 3.40117 1.02549 0.512745 0.858541i \(-0.328629\pi\)
0.512745 + 0.858541i \(0.328629\pi\)
\(12\) 0.556962 + 2.27563i 0.160781 + 0.656918i
\(13\) −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 \(0.419803\pi\)
\(18\) 2.00608 1.12928i 0.472838 0.266174i
\(19\) 7.33328i 1.68237i −0.540748 0.841184i \(-0.681859\pi\)
0.540748 0.841184i \(-0.318141\pi\)
\(20\) −1.71811 4.12893i −0.384182 0.923257i
\(21\) 4.87182i 1.06312i
\(22\) −2.35951 4.19149i −0.503049 0.893629i
\(23\) −1.65342 + 1.65342i −0.344761 + 0.344761i −0.858154 0.513393i \(-0.828388\pi\)
0.513393 + 0.858154i \(0.328388\pi\)
\(24\) 2.41803 2.26507i 0.493578 0.462355i
\(25\) −1.51853 4.76383i −0.303705 0.952766i
\(26\) 5.08567 + 0.368715i 0.997382 + 0.0723109i
\(27\) 3.83325 + 3.83325i 0.737708 + 0.737708i
\(28\) −1.97746 8.07948i −0.373704 1.52688i
\(29\) 1.98422i 0.368460i 0.982883 + 0.184230i \(0.0589792\pi\)
−0.982883 + 0.184230i \(0.941021\pi\)
\(30\) 2.91038 2.29160i 0.531360 0.418388i
\(31\) 4.43526 0.796597 0.398299 0.917256i \(-0.369601\pi\)
0.398299 + 0.917256i \(0.369601\pi\)
\(32\) −3.09070 + 4.73788i −0.546364 + 0.837548i
\(33\) 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 \(0.679580\pi\)
\(38\) −9.03730 + 5.08735i −1.46604 + 0.825278i
\(39\) 0.840366 + 4.13909i 0.134566 + 0.662785i
\(40\) −3.89645 + 4.98174i −0.616083 + 0.787682i
\(41\) 7.55280i 1.17955i 0.807568 + 0.589774i \(0.200783\pi\)
−0.807568 + 0.589774i \(0.799217\pi\)
\(42\) 6.00387 3.37975i 0.926417 0.521507i
\(43\) −0.548655 + 0.548655i −0.0836691 + 0.0836691i −0.747703 0.664034i \(-0.768843\pi\)
0.664034 + 0.747703i \(0.268843\pi\)
\(44\) −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 −0.170652 0.985331i \(-0.554587\pi\)
0.985331 + 0.170652i \(0.0545874\pi\)
\(48\) −4.46887 1.40855i −0.645026 0.203306i
\(49\) 10.2971i 1.47101i
\(50\) −4.81734 + 5.17622i −0.681274 + 0.732028i
\(51\) 4.91199i 0.687816i
\(52\) −3.07372 6.52321i −0.426248 0.904606i
\(53\) −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
\(58\) 2.44529 1.37652i 0.321082 0.180746i
\(59\) 6.14051i 0.799426i 0.916640 + 0.399713i \(0.130890\pi\)
−0.916640 + 0.399713i \(0.869110\pi\)
\(60\) −4.84313 1.99689i −0.625246 0.257797i
\(61\) 8.12327 1.04008 0.520039 0.854142i \(-0.325917\pi\)
0.520039 + 0.854142i \(0.325917\pi\)
\(62\) −3.07690 5.46588i −0.390767 0.694167i
\(63\) −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 −0.899532 0.436854i \(-0.856092\pi\)
0.436854 + 0.899532i \(0.356092\pi\)
\(68\) −1.99376 8.14610i −0.241779 0.987860i
\(69\) 2.73906i 0.329744i
\(70\) −10.3331 + 8.13619i −1.23504 + 0.972460i
\(71\) −8.90033 −1.05628 −0.528138 0.849159i \(-0.677109\pi\)
−0.528138 + 0.849159i \(0.677109\pi\)
\(72\) −0.150305 + 4.60173i −0.0177136 + 0.542319i
\(73\) 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
\(78\) 4.51789 3.90707i 0.511550 0.442389i
\(79\) −13.2369 −1.48927 −0.744633 0.667474i \(-0.767376\pi\)
−0.744633 + 0.667474i \(0.767376\pi\)
\(80\) 8.84244 + 1.34585i 0.988614 + 0.150471i
\(81\) 1.46671 0.162967
\(82\) 9.30783 5.23964i 1.02788 0.578622i
\(83\) 0.688014 + 0.688014i 0.0755194 + 0.0755194i 0.743858 0.668338i \(-0.232994\pi\)
−0.668338 + 0.743858i \(0.732994\pi\)
\(84\) −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
\(88\) 9.61483 + 0.314046i 1.02494 + 0.0334775i
\(89\) 17.5962 1.86520 0.932599 0.360915i \(-0.117536\pi\)
0.932599 + 0.360915i \(0.117536\pi\)
\(90\) −0.608024 + 5.11160i −0.0640914 + 0.538810i
\(91\) −2.98367 14.6956i −0.312773 1.54051i
\(92\) −1.11178 4.54249i −0.115911 0.473587i
\(93\) 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 \(0.834105\pi\)
\(98\) −12.6898 + 7.14344i −1.28186 + 0.721596i
\(99\) 5.53651i 0.556440i
\(100\) 9.72097 + 2.34581i 0.972097 + 0.234581i
\(101\) 2.16914 0.215838 0.107919 0.994160i \(-0.465581\pi\)
0.107919 + 0.994160i \(0.465581\pi\)
\(102\) 6.05338 3.40762i 0.599374 0.337405i
\(103\) 13.3191 13.3191i 1.31237 1.31237i 0.392713 0.919661i \(-0.371536\pi\)
0.919661 0.392713i \(-0.128464\pi\)
\(104\) −5.90665 + 8.31333i −0.579195 + 0.815189i
\(105\) −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 0.883228 0.468944i \(-0.155365\pi\)
−0.468944 + 0.883228i \(0.655365\pi\)
\(108\) −10.5312 + 2.57752i −1.01337 + 0.248022i
\(109\) −6.58437 −0.630668 −0.315334 0.948981i \(-0.602117\pi\)
−0.315334 + 0.948981i \(0.602117\pi\)
\(110\) 10.6801 + 1.27040i 1.01831 + 0.121128i
\(111\) 3.12704 0.296806
\(112\) 15.8664 + 5.00095i 1.49924 + 0.472545i
\(113\) 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
\(118\) 7.56737 4.25989i 0.696633 0.392155i
\(119\) 17.4397i 1.59869i
\(120\) 0.898947 + 7.35383i 0.0820623 + 0.671310i
\(121\) 0.567942 0.0516310
\(122\) −5.63540 10.0109i −0.510205 0.906341i
\(123\) 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 0.531624 0.846981i \(-0.321582\pi\)
−0.846981 + 0.531624i \(0.821582\pi\)
\(128\) −4.89470 10.2001i −0.432635 0.901569i
\(129\) 0.908906i 0.0800247i
\(130\) −7.37554 + 8.69491i −0.646877 + 0.762594i
\(131\) 10.9417i 0.955984i 0.878364 + 0.477992i \(0.158635\pi\)
−0.878364 + 0.477992i \(0.841365\pi\)
\(132\) 1.89432 + 7.73980i 0.164879 + 0.673663i
\(133\) 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 \(0.765179\pi\)
\(138\) 3.37553 1.90018i 0.287344 0.161754i
\(139\) 14.6017 1.23850 0.619251 0.785193i \(-0.287436\pi\)
0.619251 + 0.785193i \(0.287436\pi\)
\(140\) 17.1952 + 7.08983i 1.45326 + 0.599200i
\(141\) 9.25242i 0.779194i
\(142\) 6.17448 + 10.9685i 0.518150 + 0.920455i
\(143\) −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
\(148\) −5.18592 + 1.26926i −0.426280 + 0.104332i
\(149\) 13.1526 1.07751 0.538753 0.842464i \(-0.318896\pi\)
0.538753 + 0.842464i \(0.318896\pi\)
\(150\) 0.297264 + 8.27770i 0.0242715 + 0.675872i
\(151\) −1.17393 −0.0955332 −0.0477666 0.998859i \(-0.515210\pi\)
−0.0477666 + 0.998859i \(0.515210\pi\)
\(152\) 0.677117 20.7306i 0.0549214 1.68147i
\(153\) −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
\(156\) −7.94917 2.85723i −0.636443 0.228761i
\(157\) −0.498889 + 0.498889i −0.0398157 + 0.0398157i −0.726734 0.686919i \(-0.758963\pi\)
0.686919 + 0.726734i \(0.258963\pi\)
\(158\) 9.18290 + 16.3127i 0.730552 + 1.29777i
\(159\) −0.724390 −0.0574478
\(160\) −4.47572 11.8308i −0.353837 0.935307i
\(161\) 9.72485i 0.766426i
\(162\) −1.01751 1.80752i −0.0799429 0.142012i
\(163\) −6.52976 6.52976i −0.511450 0.511450i 0.403520 0.914971i \(-0.367786\pi\)
−0.914971 + 0.403520i \(0.867786\pi\)
\(164\) −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 −0.454610 0.890691i \(-0.650221\pi\)
0.890691 + 0.454610i \(0.150221\pi\)
\(168\) −0.449838 + 13.7722i −0.0347058 + 1.06255i
\(169\) −5.06984 11.9707i −0.389987 0.920820i
\(170\) −10.4183 + 8.20328i −0.799048 + 0.629163i
\(171\) 11.9373 0.912868
\(172\) −0.368922 1.50734i −0.0281301 0.114934i
\(173\) 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
\(178\) −12.2071 21.6850i −0.914963 1.62536i
\(179\) 9.15302 0.684129 0.342064 0.939677i \(-0.388874\pi\)
0.342064 + 0.939677i \(0.388874\pi\)
\(180\) 6.72118 2.79679i 0.500967 0.208460i
\(181\) 11.6077 0.862792 0.431396 0.902163i \(-0.358021\pi\)
0.431396 + 0.902163i \(0.358021\pi\)
\(182\) −16.0405 + 13.8718i −1.18900 + 1.02825i
\(183\) 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
\(188\) 3.75553 + 15.3443i 0.273900 + 1.11910i
\(189\) −22.5459 −1.63997
\(190\) 2.73912 23.0275i 0.198717 1.67059i
\(191\) 12.7491i 0.922496i −0.887271 0.461248i \(-0.847402\pi\)
0.887271 0.461248i \(-0.152598\pi\)
\(192\) 7.04472 6.17989i 0.508409 0.445995i
\(193\) −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 \(0.648074\pi\)
\(198\) 6.82302 3.84087i 0.484891 0.272959i
\(199\) −6.11372 −0.433390 −0.216695 0.976239i \(-0.569528\pi\)
−0.216695 + 0.976239i \(0.569528\pi\)
\(200\) −3.85288 13.6072i −0.272440 0.962173i
\(201\) 6.27387i 0.442525i
\(202\) −1.50481 2.67318i −0.105878 0.188084i
\(203\) −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
\(208\) 14.3427 + 1.51191i 0.994490 + 0.104832i
\(209\) 24.9417i 1.72525i
\(210\) −1.81972 + 15.2982i −0.125572 + 1.05568i
\(211\) 7.61186i 0.524022i −0.965065 0.262011i \(-0.915614\pi\)
0.965065 0.262011i \(-0.0843857\pi\)
\(212\) 1.20134 0.294028i 0.0825081 0.0201939i
\(213\) −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
\(218\) 4.56781 + 8.11437i 0.309371 + 0.549574i
\(219\) 6.96641i 0.470746i
\(220\) −5.84359 14.0432i −0.393975 0.946792i
\(221\) −3.00827 14.8167i −0.202358 0.996682i
\(222\) −2.16934 3.85367i −0.145597 0.258641i
\(223\) 7.50725 + 7.50725i 0.502723 + 0.502723i 0.912283 0.409560i \(-0.134318\pi\)
−0.409560 + 0.912283i \(0.634318\pi\)
\(224\) −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 −0.982076 0.188486i \(-0.939642\pi\)
0.188486 + 0.982076i \(0.439642\pi\)
\(228\) 16.6878 4.08435i 1.10518 0.270493i
\(229\) −1.91943 −0.126839 −0.0634197 0.997987i \(-0.520201\pi\)
−0.0634197 + 0.997987i \(0.520201\pi\)
\(230\) −5.80954 + 4.57437i −0.383070 + 0.301625i
\(231\) 16.5699i 1.09022i
\(232\) −0.183213 + 5.60923i −0.0120285 + 0.368264i
\(233\) −18.7540 18.7540i −1.22862 1.22862i −0.964487 0.264131i \(-0.914915\pi\)
−0.264131 0.964487i \(-0.585085\pi\)
\(234\) −0.600203 + 8.27859i −0.0392365 + 0.541188i
\(235\) 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
\(238\) −21.4921 + 12.0985i −1.39313 + 0.784232i
\(239\) 18.0653i 1.16854i 0.811558 + 0.584272i \(0.198620\pi\)
−0.811558 + 0.584272i \(0.801380\pi\)
\(240\) 8.43900 6.20945i 0.544735 0.400818i
\(241\) 18.1104i 1.16659i 0.812259 + 0.583297i \(0.198238\pi\)
−0.812259 + 0.583297i \(0.801762\pi\)
\(242\) −0.394001 0.699913i −0.0253274 0.0449921i
\(243\) −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
\(248\) 12.5381 + 0.409530i 0.796172 + 0.0260052i
\(249\) 1.13977 0.0722300
\(250\) −2.98900 15.5263i −0.189041 0.981969i
\(251\) 6.46202i 0.407879i −0.978983 0.203940i \(-0.934625\pi\)
0.978983 0.203940i \(-0.0653746\pi\)
\(252\) 13.1520 3.21895i 0.828497 0.202775i
\(253\) −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 \(0.0969738\pi\)
\(258\) 1.12011 0.630540i 0.0697348 0.0392557i
\(259\) −11.1024 −0.689867
\(260\) 15.8320 + 3.05741i 0.981859 + 0.189613i
\(261\) −3.22996 −0.199930
\(262\) 13.4842 7.59067i 0.833059 0.468953i
\(263\) 6.53406 6.53406i 0.402907 0.402907i −0.476349 0.879256i \(-0.658040\pi\)
0.879256 + 0.476349i \(0.158040\pi\)
\(264\) 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
\(268\) −2.54655 10.4047i −0.155555 0.635566i
\(269\) 29.0536i 1.77143i 0.464230 + 0.885715i \(0.346331\pi\)
−0.464230 + 0.885715i \(0.653669\pi\)
\(270\) 10.6051 + 13.4687i 0.645408 + 0.819680i
\(271\) −6.41043 −0.389406 −0.194703 0.980862i \(-0.562374\pi\)
−0.194703 + 0.980862i \(0.562374\pi\)
\(272\) 15.9973 + 5.04219i 0.969977 + 0.305727i
\(273\) −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 \(0.193375\pi\)
\(278\) −10.1297 17.9947i −0.607541 1.07925i
\(279\) 7.21984i 0.432240i
\(280\) −3.19165 26.1093i −0.190738 1.56033i
\(281\) 2.13811i 0.127549i 0.997964 + 0.0637745i \(0.0203139\pi\)
−0.997964 + 0.0637745i \(0.979686\pi\)
\(282\) −11.4024 + 6.41873i −0.679002 + 0.382230i
\(283\) −14.5899 + 14.5899i −0.867280 + 0.867280i −0.992171 0.124891i \(-0.960142\pi\)
0.124891 + 0.992171i \(0.460142\pi\)
\(284\) 9.23376 15.2185i 0.547923 0.903049i
\(285\) 18.9801 2.95189i 1.12428 0.174855i
\(286\) 17.2972 + 1.25406i 1.02281 + 0.0741542i
\(287\) −22.2116 22.2116i −1.31111 1.31111i
\(288\) −7.71245 5.03113i −0.454460 0.296462i
\(289\) 0.583505i 0.0343238i
\(290\) −0.741144 + 6.23073i −0.0435215 + 0.365881i
\(291\) −6.02597 −0.353249
\(292\) 2.82765 + 11.5532i 0.165475 + 0.676098i
\(293\) −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
\(298\) −9.12445 16.2089i −0.528565 0.938956i
\(299\) −1.67749 8.26222i −0.0970120 0.477817i
\(300\) 9.99495 6.10887i 0.577059 0.352696i
\(301\) 3.22701i 0.186002i
\(302\) 0.814398 + 1.44672i 0.0468633 + 0.0832491i
\(303\) 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 −0.00903979 0.999959i \(-0.502877\pi\)
0.999959 + 0.00903979i \(0.00287749\pi\)
\(308\) −6.72566 27.4797i −0.383230 1.56580i
\(309\) 22.0646i 1.25521i
\(310\) 13.9274 + 1.65666i 0.791021 + 0.0940918i
\(311\) 4.44104i 0.251828i −0.992041 0.125914i \(-0.959814\pi\)
0.992041 0.125914i \(-0.0401863\pi\)
\(312\) 1.99347 + 11.7785i 0.112858 + 0.666824i
\(313\) −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 \(0.649524\pi\)
\(318\) 0.502535 + 0.892715i 0.0281807 + 0.0500609i
\(319\) 6.74867i 0.377853i
\(320\) −11.4749 + 13.7232i −0.641468 + 0.767149i
\(321\) 7.09921 0.396239
\(322\) −11.9846 + 6.74648i −0.667876 + 0.375966i
\(323\) 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
\(328\) −0.697386 + 21.3511i −0.0385067 + 1.17892i
\(329\) 32.8501i 1.81109i
\(330\) 9.89868 7.79413i 0.544905 0.429053i
\(331\) 2.80448 0.154148 0.0770739 0.997025i \(-0.475442\pi\)
0.0770739 + 0.997025i \(0.475442\pi\)
\(332\) −1.89021 + 0.462629i −0.103739 + 0.0253901i
\(333\) −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 \(0.177682\pi\)
\(338\) −11.2351 + 14.5524i −0.611111 + 0.791545i
\(339\) 13.9548 0.757920
\(340\) 17.3370 + 7.14829i 0.940232 + 0.387671i
\(341\) 15.0851 0.816903
\(342\) −8.28132 14.7111i −0.447803 0.795487i
\(343\) 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 0.997598 0.0692758i \(-0.0220688\pi\)
−0.0692758 + 0.997598i \(0.522069\pi\)
\(348\) −4.51535 + 1.10513i −0.242048 + 0.0592414i
\(349\) −32.9448 −1.76349 −0.881747 0.471722i \(-0.843633\pi\)
−0.881747 + 0.471722i \(0.843633\pi\)
\(350\) −1.05542 29.3894i −0.0564145 1.57093i
\(351\) −19.1550 + 3.88907i −1.02242 + 0.207583i
\(352\) −10.5120 + 16.1143i −0.560292 + 0.858897i
\(353\) 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
\(358\) −6.34977 11.2799i −0.335596 0.596161i
\(359\) 9.59143i 0.506216i 0.967438 + 0.253108i \(0.0814528\pi\)
−0.967438 + 0.253108i \(0.918547\pi\)
\(360\) −8.10940 6.34274i −0.427403 0.334292i
\(361\) −34.7769 −1.83037
\(362\) −8.05266 14.3049i −0.423239 0.751851i
\(363\) 0.470428 0.470428i 0.0246911 0.0246911i
\(364\) 28.2230 + 10.1444i 1.47929 + 0.531711i
\(365\) 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 0.829875 0.557950i \(-0.188412\pi\)
−0.557950 + 0.829875i \(0.688412\pi\)
\(368\) 8.92051 + 2.81166i 0.465014 + 0.146568i
\(369\) −12.2946 −0.640033
\(370\) 5.22232 + 6.63245i 0.271496 + 0.344804i
\(371\) 2.57190 0.133526
\(372\) 2.47027 + 10.0930i 0.128078 + 0.523299i
\(373\) 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
\(378\) 15.6409 + 27.7849i 0.804481 + 1.42910i
\(379\) 21.2083i 1.08940i 0.838632 + 0.544699i \(0.183356\pi\)
−0.838632 + 0.544699i \(0.816644\pi\)
\(380\) −30.2786 + 12.5994i −1.55326 + 0.646336i
\(381\) −5.88741 −0.301621
\(382\) −15.7116 + 8.84453i −0.803877 + 0.452526i
\(383\) −23.7062 23.7062i −1.21133 1.21133i −0.970590 0.240739i \(-0.922610\pi\)
−0.240739 0.970590i \(-0.577390\pi\)
\(384\) −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
\(388\) 9.99354 2.44592i 0.507345 0.124173i
\(389\) 12.0053i 0.608695i 0.952561 + 0.304347i \(0.0984384\pi\)
−0.952561 + 0.304347i \(0.901562\pi\)
\(390\) 1.09284 + 13.3112i 0.0553381 + 0.674039i
\(391\) 9.80505i 0.495862i
\(392\) 0.950778 29.1090i 0.0480215 1.47023i
\(393\) 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 \(0.675598\pi\)
\(398\) 4.24130 + 7.53435i 0.212597 + 0.377663i
\(399\) 35.7264 1.78856
\(400\) −14.0962 + 14.1880i −0.704809 + 0.709398i
\(401\) 10.7459i 0.536623i −0.963332 0.268312i \(-0.913534\pi\)
0.963332 0.268312i \(-0.0864657\pi\)
\(402\) 7.73172 4.35241i 0.385623 0.217078i
\(403\) −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
\(408\) −0.453548 + 13.8858i −0.0224540 + 0.687449i
\(409\) 25.0704 1.23965 0.619827 0.784739i \(-0.287203\pi\)
0.619827 + 0.784739i \(0.287203\pi\)
\(410\) −2.82111 + 23.7168i −0.139325 + 1.17129i
\(411\) −1.30711 −0.0644748
\(412\) 8.95596 + 36.5922i 0.441228 + 1.80277i
\(413\) −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
\(416\) −8.08683 18.7244i −0.396490 0.918039i
\(417\) 12.0947 12.0947i 0.592278 0.592278i
\(418\) −30.7374 + 17.3029i −1.50341 + 0.846315i
\(419\) −23.3976 −1.14305 −0.571523 0.820586i \(-0.693647\pi\)
−0.571523 + 0.820586i \(0.693647\pi\)
\(420\) 20.1154 8.37033i 0.981531 0.408430i
\(421\) 18.3566i 0.894645i −0.894373 0.447322i \(-0.852378\pi\)
0.894373 0.447322i \(-0.147622\pi\)
\(422\) −9.38061 + 5.28062i −0.456641 + 0.257056i
\(423\) 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
\(428\) −11.7734 + 2.88155i −0.569089 + 0.139285i
\(429\) 2.85823 + 14.0777i 0.137996 + 0.679679i
\(430\) −1.92779 + 1.51792i −0.0929661 + 0.0732006i
\(431\) −11.6050 −0.558995 −0.279498 0.960146i \(-0.590168\pi\)
−0.279498 + 0.960146i \(0.590168\pi\)
\(432\) 6.51850 20.6811i 0.313622 0.995022i
\(433\) 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
\(438\) −8.58518 + 4.83284i −0.410216 + 0.230922i
\(439\) −12.3992 −0.591780 −0.295890 0.955222i \(-0.595616\pi\)
−0.295890 + 0.955222i \(0.595616\pi\)
\(440\) −13.2525 + 16.9437i −0.631787 + 0.807760i
\(441\) 16.7618 0.798182
\(442\) −16.1727 + 13.9862i −0.769259 + 0.665255i
\(443\) 7.43297 7.43297i 0.353151 0.353151i −0.508130 0.861281i \(-0.669663\pi\)
0.861281 + 0.508130i \(0.169663\pi\)
\(444\) −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
\(448\) −25.0118 + 21.9413i −1.18170 + 1.03663i
\(449\) 20.8335 0.983195 0.491598 0.870822i \(-0.336413\pi\)
0.491598 + 0.870822i \(0.336413\pi\)
\(450\) −8.42598 7.84178i −0.397205 0.369665i
\(451\) 25.6883i 1.20962i
\(452\) −23.1428 + 5.66421i −1.08855 + 0.266422i
\(453\) −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 \(-0.501861\pi\)
\(458\) 1.33158 + 2.36544i 0.0622204 + 0.110530i
\(459\) −22.7318 −1.06103
\(460\) 9.66760 + 3.98608i 0.450754 + 0.185852i
\(461\) 0.539391i 0.0251219i −0.999921 0.0125610i \(-0.996002\pi\)
0.999921 0.0125610i \(-0.00399838\pi\)
\(462\) 20.4202 11.4951i 0.950032 0.534800i
\(463\) −17.7638 17.7638i −0.825555 0.825555i 0.161344 0.986898i \(-0.448417\pi\)
−0.986898 + 0.161344i \(0.948417\pi\)
\(464\) 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 0.616270 0.787535i \(-0.288643\pi\)
−0.787535 + 0.616270i \(0.788643\pi\)
\(468\) 10.6186 5.00348i 0.490847 0.231286i
\(469\) 22.2750i 1.02856i
\(470\) 19.6244 15.4520i 0.905204 0.712749i
\(471\) 0.826463i 0.0380814i
\(472\) −0.566983 + 17.3587i −0.0260975 + 0.799000i
\(473\) −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
\(478\) 22.2631 12.5325i 1.01829 0.573224i
\(479\) 17.2329i 0.787393i −0.919240 0.393697i \(-0.871196\pi\)
0.919240 0.393697i \(-0.128804\pi\)
\(480\) −13.5068 6.09224i −0.616496 0.278071i
\(481\) −9.43255 + 1.91511i −0.430087 + 0.0873214i
\(482\) 22.3187 12.5638i 1.01659 0.572267i
\(483\) −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 −0.0420947 0.999114i \(-0.513403\pi\)
0.999114 + 0.0420947i \(0.0134031\pi\)
\(488\) 22.9638 + 0.750061i 1.03952 + 0.0339537i
\(489\) −10.8173 −0.489173
\(490\) 3.84615 32.3342i 0.173751 1.46071i
\(491\) 16.7896i 0.757704i −0.925457 0.378852i \(-0.876319\pi\)
0.925457 0.378852i \(-0.123681\pi\)
\(492\) −17.1874 + 4.20662i −0.774867 + 0.189649i
\(493\) −5.88339 5.88339i −0.264975 0.264975i
\(494\) 2.70389 37.2946i 0.121654 1.67796i
\(495\) −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
\(498\) −0.790699 1.40462i −0.0354321 0.0629424i
\(499\) 33.8593i 1.51575i −0.652399 0.757876i \(-0.726237\pi\)
0.652399 0.757876i \(-0.273763\pi\)
\(500\) −17.0605 + 14.4547i −0.762970 + 0.646434i
\(501\) 9.33566i 0.417086i
\(502\) −7.96359 + 4.48293i −0.355432 + 0.200083i
\(503\) −9.11180 + 9.11180i −0.406275 + 0.406275i −0.880437 0.474162i \(-0.842751\pi\)
0.474162 + 0.880437i \(0.342751\pi\)
\(504\) −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
\(508\) 9.76375 2.38968i 0.433196 0.106025i
\(509\) 28.4383 1.26051 0.630253 0.776390i \(-0.282951\pi\)
0.630253 + 0.776390i \(0.282951\pi\)
\(510\) −1.83472 + 15.4243i −0.0812429 + 0.683001i
\(511\) 24.7338i 1.09416i
\(512\) 22.5190 + 2.21289i 0.995206 + 0.0977967i
\(513\) 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
\(518\) 7.70210 + 13.6822i 0.338411 + 0.601161i
\(519\) 4.58944 0.201454
\(520\) −7.21536 21.6319i −0.316415 0.948621i
\(521\) −16.5062 −0.723149 −0.361574 0.932343i \(-0.617761\pi\)
−0.361574 + 0.932343i \(0.617761\pi\)
\(522\) 2.24074 + 3.98050i 0.0980745 + 0.174222i
\(523\) 26.6496 26.6496i 1.16531 1.16531i 0.182010 0.983297i \(-0.441740\pi\)
0.983297 0.182010i \(-0.0582604\pi\)
\(524\) −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
\(528\) −15.1994 4.79070i −0.661468 0.208488i
\(529\) 17.5324i 0.762280i
\(530\) −1.20977 1.53643i −0.0525490 0.0667382i
\(531\) −9.99568 −0.433776
\(532\) −59.2490 + 14.5012i −2.56877 + 0.628708i
\(533\) −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
\(538\) 35.8047 20.1555i 1.54365 0.868966i
\(539\) 35.0220i 1.50851i
\(540\) 9.24126 22.4132i 0.397681 0.964509i
\(541\) 5.74827i 0.247137i −0.992336 0.123569i \(-0.960566\pi\)
0.992336 0.123569i \(-0.0394339\pi\)
\(542\) 4.44714 + 7.90001i 0.191021 + 0.339335i
\(543\) 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
\(546\) −1.79631 + 24.7765i −0.0768750 + 1.06033i
\(547\) −5.92809 5.92809i −0.253467 0.253467i 0.568924 0.822390i \(-0.307360\pi\)
−0.822390 + 0.568924i \(0.807360\pi\)
\(548\) 2.16772 0.530551i 0.0926004 0.0226640i
\(549\) 13.2233i 0.564355i
\(550\) −16.3846 + 17.6052i −0.698641 + 0.750688i
\(551\) 14.5508 0.619886
\(552\) −0.252911 + 7.74310i −0.0107646 + 0.329568i
\(553\) 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 \(0.951627\pi\)
\(558\) 8.89750 5.00866i 0.376661 0.212033i
\(559\) −0.556645 2.74166i −0.0235436 0.115960i
\(560\) −29.9621 + 22.0462i −1.26613 + 0.931624i
\(561\) 16.7065i 0.705349i
\(562\) 2.63494 1.48328i 0.111148 0.0625686i
\(563\) 18.8438 18.8438i 0.794170 0.794170i −0.187999 0.982169i \(-0.560200\pi\)
0.982169 + 0.187999i \(0.0602002\pi\)
\(564\) 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
\(568\) −25.1605 0.821811i −1.05571 0.0344824i
\(569\) 6.29158i 0.263757i 0.991266 + 0.131878i \(0.0421009\pi\)
−0.991266 + 0.131878i \(0.957899\pi\)
\(570\) −16.8050 21.3426i −0.703882 0.893943i
\(571\) 1.50121i 0.0628236i −0.999507 0.0314118i \(-0.990000\pi\)
0.999507 0.0314118i \(-0.0100003\pi\)
\(572\) −10.4542 22.1865i −0.437113 0.927665i
\(573\) −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 \(0.428059\pi\)
\(578\) −0.719093 + 0.404798i −0.0299103 + 0.0168374i
\(579\) 14.3148i 0.594902i
\(580\) 8.19271 3.40912i 0.340184 0.141556i
\(581\) −4.04668 −0.167885
\(582\) 4.18043 + 7.42621i 0.173284 + 0.307826i
\(583\) −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 −0.915747 0.401756i \(-0.868400\pi\)
0.401756 + 0.915747i \(0.368400\pi\)
\(588\) 23.4323 5.73507i 0.966332 0.236510i
\(589\) 32.5250i 1.34017i
\(590\) −2.29360 + 19.2821i −0.0944259 + 0.793830i
\(591\) 10.3503 0.425755
\(592\) 3.20993 10.1841i 0.131927 0.418563i
\(593\) −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
\(598\) −9.01836 + 7.79909i −0.368788 + 0.318928i
\(599\) −2.19935 −0.0898631 −0.0449316 0.998990i \(-0.514307\pi\)
−0.0449316 + 0.998990i \(0.514307\pi\)
\(600\) −14.4622 8.07952i −0.590418 0.329845i
\(601\) −46.4120 −1.89319 −0.946593 0.322432i \(-0.895500\pi\)
−0.946593 + 0.322432i \(0.895500\pi\)
\(602\) −3.97687 + 2.23869i −0.162085 + 0.0912423i
\(603\) −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 0.211958 0.977279i \(-0.432016\pi\)
−0.977279 + 0.211958i \(0.932016\pi\)
\(608\) 34.7442 + 22.6650i 1.40906 + 0.919186i
\(609\) −9.66675 −0.391717
\(610\) 25.5082 + 3.03420i 1.03280 + 0.122851i
\(611\) 5.66650 + 27.9094i 0.229242 + 1.12909i
\(612\) 13.2604 3.24550i 0.536021 0.131191i
\(613\) −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 \(0.980386\pi\)
\(618\) −27.1917 + 15.3070i −1.09381 + 0.615737i
\(619\) 25.4127i 1.02142i 0.859753 + 0.510711i \(0.170618\pi\)
−0.859753 + 0.510711i \(0.829382\pi\)
\(620\) −7.62029 18.3129i −0.306038 0.735464i
\(621\) −12.6759 −0.508666
\(622\) −5.47299 + 3.08090i −0.219447 + 0.123533i
\(623\) −51.7477 + 51.7477i −2.07323 + 2.07323i
\(624\) 13.1325 10.6278i 0.525719 0.425453i
\(625\) −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
\(628\) −0.335459 1.37062i −0.0133863 0.0546935i
\(629\) −11.1939 −0.446330
\(630\) −13.2443 16.8205i −0.527665 0.670145i
\(631\) 13.3790 0.532611 0.266306 0.963889i \(-0.414197\pi\)
0.266306 + 0.963889i \(0.414197\pi\)
\(632\) −37.4196 1.22223i −1.48847 0.0486176i
\(633\) −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
\(638\) 8.31684 4.68179i 0.329267 0.185354i
\(639\) 14.4882i 0.573144i
\(640\) 24.8726 + 4.62108i 0.983175 + 0.182664i
\(641\) 11.8619 0.468515 0.234257 0.972175i \(-0.424734\pi\)
0.234257 + 0.972175i \(0.424734\pi\)
\(642\) −4.92497 8.74884i −0.194373 0.345289i
\(643\) 9.06620 + 9.06620i 0.357536 + 0.357536i 0.862904 0.505368i \(-0.168643\pi\)
−0.505368 + 0.862904i \(0.668643\pi\)
\(644\) 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 0.873683 0.486495i \(-0.161725\pi\)
−0.486495 + 0.873683i \(0.661725\pi\)
\(648\) 4.14626 + 0.135428i 0.162881 + 0.00532012i
\(649\) 20.8849i 0.819804i
\(650\) −5.96623 24.7872i −0.234015 0.972233i
\(651\) 21.6078i 0.846876i
\(652\) 17.9395 4.39069i 0.702563 0.171953i
\(653\) 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
\(658\) 40.4834 22.7893i 1.57821 0.888419i
\(659\) −21.0850 −0.821357 −0.410678 0.911780i \(-0.634708\pi\)
−0.410678 + 0.911780i \(0.634708\pi\)
\(660\) −16.4723 6.79176i −0.641183 0.264369i
\(661\) 45.4347i 1.76721i −0.468237 0.883603i \(-0.655111\pi\)
0.468237 0.883603i \(-0.344889\pi\)
\(662\) −1.94556 3.45615i −0.0756165 0.134327i
\(663\) −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
\(668\) 3.78932 + 15.4824i 0.146613 + 0.599031i
\(669\) 12.4366 0.480825
\(670\) −13.3069 + 10.4777i −0.514089 + 0.404789i
\(671\) 27.6286 1.06659
\(672\) −23.0821 15.0573i −0.890411 0.580849i
\(673\) 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
\(676\) 25.7281 + 3.75032i 0.989542 + 0.144243i
\(677\) 29.0222 29.0222i 1.11541 1.11541i 0.123009 0.992406i \(-0.460746\pi\)
0.992406 0.123009i \(-0.0392545\pi\)
\(678\) −9.68093 17.1974i −0.371794 0.660464i
\(679\) 21.3948 0.821057
\(680\) −3.21797 26.3246i −0.123404 1.00950i
\(681\) 19.8075i 0.759023i
\(682\) −10.4651 18.5904i −0.400728 0.711862i
\(683\) −12.9148 12.9148i −0.494172 0.494172i 0.415446 0.909618i \(-0.363625\pi\)
−0.909618 + 0.415446i \(0.863625\pi\)
\(684\) −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
\(688\) 2.96011 + 0.932998i 0.112853 + 0.0355702i
\(689\) 2.18508 0.443641i 0.0832450 0.0169014i
\(690\) −1.02309 + 8.60103i −0.0389484 + 0.327436i
\(691\) 46.8753 1.78322 0.891611 0.452803i \(-0.149576\pi\)
0.891611 + 0.452803i \(0.149576\pi\)
\(692\) −7.61118 + 1.86284i −0.289334 + 0.0708146i
\(693\) −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
\(698\) 22.8550 + 40.6001i 0.865074 + 1.53674i
\(699\) −31.0681 −1.17510
\(700\) −35.4864 + 21.6892i −1.34126 + 0.819773i
\(701\) −28.4061 −1.07288 −0.536441 0.843938i \(-0.680232\pi\)
−0.536441 + 0.843938i \(0.680232\pi\)
\(702\) 18.0813 + 20.9080i 0.682433 + 0.789122i
\(703\) 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
\(708\) −13.9735 + 3.42003i −0.525157 + 0.128533i
\(709\) 17.7546 0.666789 0.333395 0.942787i \(-0.391806\pi\)
0.333395 + 0.942787i \(0.391806\pi\)
\(710\) −27.9483 3.32444i −1.04888 0.124764i
\(711\) 21.5473i 0.808089i
\(712\) 49.7431 + 1.62475i 1.86420 + 0.0608899i
\(713\) −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
\(718\) 11.8202 6.65391i 0.441125 0.248322i
\(719\) 37.6027 1.40234 0.701172 0.712992i \(-0.252660\pi\)
0.701172 + 0.712992i \(0.252660\pi\)
\(720\) −2.19081 + 14.3939i −0.0816468 + 0.536431i
\(721\) 78.3389i 2.91749i
\(722\) 24.1260 + 42.8580i 0.897877 + 1.59501i
\(723\) 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 0.968364 0.249543i \(-0.0802803\pi\)
−0.249543 + 0.968364i \(0.580280\pi\)
\(728\) −7.07767 41.8187i −0.262316 1.54990i
\(729\) 21.4381i 0.794004i
\(730\) 14.7757 11.6343i 0.546874 0.430603i
\(731\) 3.25362i 0.120340i
\(732\) 4.52435 + 18.4856i 0.167225 + 0.683246i
\(733\) 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
\(738\) 8.52922 + 15.1515i 0.313965 + 0.557735i
\(739\) 16.2811i 0.598908i 0.954111 + 0.299454i \(0.0968046\pi\)
−0.954111 + 0.299454i \(0.903195\pi\)
\(740\) 4.55070 11.0370i 0.167287 0.405728i
\(741\) 30.3531 6.16264i 1.11505 0.226390i
\(742\) −1.78422 3.16952i −0.0655007 0.116357i
\(743\) 16.8082 + 16.8082i 0.616634 + 0.616634i 0.944666 0.328033i \(-0.106386\pi\)
−0.328033 + 0.944666i \(0.606386\pi\)
\(744\) 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
\(748\) −6.78112 27.7062i −0.247942 1.01304i
\(749\) −25.2053 −0.920981
\(750\) −15.3363 10.3847i −0.560002 0.379195i
\(751\) 17.9246i 0.654080i −0.945011 0.327040i \(-0.893949\pi\)
0.945011 0.327040i \(-0.106051\pi\)
\(752\) −30.1331 9.49766i −1.09884 0.346344i
\(753\) −5.35252 5.35252i −0.195057 0.195057i
\(754\) −0.731611 + 10.0911i −0.0266437 + 0.367496i
\(755\) 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 \(0.00638974\pi\)
\(758\) 26.1364 14.7130i 0.949318 0.534399i
\(759\) 9.31600i 0.338149i
\(760\) 36.5324 + 28.5737i 1.32517 + 1.03648i
\(761\) 39.0244i 1.41463i 0.706897 + 0.707316i \(0.250094\pi\)
−0.706897 + 0.707316i \(0.749906\pi\)
\(762\) 4.08431 + 7.25546i 0.147959 + 0.262837i
\(763\) 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
\(768\) 3.25821 + 18.4570i 0.117571 + 0.666009i
\(769\) −0.308598 −0.0111283 −0.00556416 0.999985i \(-0.501771\pi\)
−0.00556416 + 0.999985i \(0.501771\pi\)
\(770\) −35.1446 + 27.6725i −1.26652 + 0.997249i
\(771\) 17.3683i 0.625504i
\(772\) −5.81033 23.7398i −0.209118 0.854413i
\(773\) 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