Properties

Label 483.2.y.b.4.16
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.16
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.16

$q$-expansion

\(f(q)\) \(=\) \(q+(1.50681 - 2.11601i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-1.55291 - 4.48684i) q^{4} +(0.00580718 - 0.121908i) q^{5} +(-1.70112 - 1.96320i) q^{6} +(-0.123513 - 2.64287i) q^{7} +(-6.84923 - 2.01112i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(1.50681 - 2.11601i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-1.55291 - 4.48684i) q^{4} +(0.00580718 - 0.121908i) q^{5} +(-1.70112 - 1.96320i) q^{6} +(-0.123513 - 2.64287i) q^{7} +(-6.84923 - 2.01112i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(-0.249208 - 0.195979i) q^{10} +(2.37699 + 3.33802i) q^{11} +(-4.72648 + 0.451324i) q^{12} +(-0.538060 + 3.74229i) q^{13} +(-5.77845 - 3.72093i) q^{14} +(-0.117102 - 0.0343843i) q^{15} +(-7.11168 + 5.59269i) q^{16} +(4.04755 - 0.780102i) q^{17} +(-2.30892 + 1.19033i) q^{18} +(2.95791 + 0.570091i) q^{19} +(-0.555999 + 0.163256i) q^{20} +(-2.59749 - 0.503048i) q^{21} +10.6450 q^{22} +(-4.79549 - 0.0569436i) q^{23} +(-3.56919 + 6.18202i) q^{24} +(4.96253 + 0.473864i) q^{25} +(7.10799 + 6.77745i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-11.6663 + 4.65832i) q^{28} +(-5.53051 - 6.38255i) q^{29} +(-0.249208 + 0.195979i) q^{30} +(-0.426706 + 0.406864i) q^{31} +(0.438961 + 9.21492i) q^{32} +(3.80432 - 1.52302i) q^{33} +(4.44817 - 9.74014i) q^{34} +(-0.322903 - 0.000290405i) q^{35} +(-0.675708 + 4.69965i) q^{36} +(-9.29184 - 4.79028i) q^{37} +(5.66332 - 5.39997i) q^{38} +(3.50995 + 1.40517i) q^{39} +(-0.284945 + 0.823295i) q^{40} +(5.96543 + 3.83375i) q^{41} +(-4.97837 + 4.73832i) q^{42} +(1.93378 - 0.567809i) q^{43} +(11.2859 - 15.8488i) q^{44} +(-0.0610230 + 0.105695i) q^{45} +(-7.34637 + 10.0615i) q^{46} +(1.92468 + 3.33365i) q^{47} +(3.75840 + 8.22974i) q^{48} +(-6.96949 + 0.652857i) q^{49} +(8.48028 - 9.78676i) q^{50} +(0.196135 - 4.11737i) q^{51} +(17.6266 - 3.39725i) q^{52} +(5.89629 + 2.36052i) q^{53} +(0.612428 + 2.52446i) q^{54} +(0.420734 - 0.270389i) q^{55} +(-4.46914 + 18.3500i) q^{56} +(1.25138 - 2.74013i) q^{57} +(-21.8390 + 2.08537i) q^{58} +(9.29468 + 7.30942i) q^{59} +(0.0275723 + 0.578815i) q^{60} +(-2.53595 - 10.4533i) q^{61} +(0.217965 + 1.51598i) q^{62} +(-1.10125 + 2.40567i) q^{63} +(4.93812 + 3.17353i) q^{64} +(0.453089 + 0.0873258i) q^{65} +(2.50964 - 10.3449i) q^{66} +(-1.09944 - 0.104984i) q^{67} +(-9.78568 - 16.9493i) q^{68} +(-1.18592 + 4.64689i) q^{69} +(-0.487167 + 0.682829i) q^{70} +(2.60064 + 5.69461i) q^{71} +(5.16629 + 4.92605i) q^{72} +(2.57592 + 7.44262i) q^{73} +(-24.1373 + 12.4436i) q^{74} +(1.63047 - 4.71093i) q^{75} +(-2.03547 - 14.1570i) q^{76} +(8.52835 - 6.69436i) q^{77} +(8.26218 - 5.30978i) q^{78} +(5.30932 - 2.12553i) q^{79} +(0.640493 + 0.899446i) q^{80} +(0.580057 + 0.814576i) q^{81} +(17.1010 - 6.84621i) q^{82} +(3.56954 - 2.29401i) q^{83} +(1.77657 + 12.4357i) q^{84} +(-0.0715955 - 0.497958i) q^{85} +(1.71234 - 4.94748i) q^{86} +(-7.50650 + 3.86987i) q^{87} +(-9.56742 - 27.6433i) q^{88} +(11.2693 + 10.7453i) q^{89} +(0.131702 + 0.288387i) q^{90} +(9.95684 + 0.959800i) q^{91} +(7.19148 + 21.6051i) q^{92} +(0.294795 + 0.510600i) q^{93} +(9.95417 + 0.950508i) q^{94} +(0.0866756 - 0.357282i) q^{95} +(9.05865 + 1.74591i) q^{96} +(-8.05367 - 5.17578i) q^{97} +(-9.12021 + 15.7313i) q^{98} +(-0.583186 - 4.05615i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.50681 2.11601i 1.06547 1.49625i 0.210487 0.977597i \(-0.432495\pi\)
0.854986 0.518651i \(-0.173565\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) −1.55291 4.48684i −0.776456 2.24342i
\(5\) 0.00580718 0.121908i 0.00259705 0.0545188i −0.997197 0.0748236i \(-0.976161\pi\)
0.999794 + 0.0203048i \(0.00646367\pi\)
\(6\) −1.70112 1.96320i −0.694481 0.801473i
\(7\) −0.123513 2.64287i −0.0466836 0.998910i
\(8\) −6.84923 2.01112i −2.42157 0.711037i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) −0.249208 0.195979i −0.0788065 0.0619741i
\(11\) 2.37699 + 3.33802i 0.716690 + 1.00645i 0.998890 + 0.0470950i \(0.0149963\pi\)
−0.282200 + 0.959356i \(0.591064\pi\)
\(12\) −4.72648 + 0.451324i −1.36442 + 0.130286i
\(13\) −0.538060 + 3.74229i −0.149231 + 1.03792i 0.768251 + 0.640148i \(0.221127\pi\)
−0.917482 + 0.397777i \(0.869782\pi\)
\(14\) −5.77845 3.72093i −1.54436 0.994461i
\(15\) −0.117102 0.0343843i −0.0302357 0.00887799i
\(16\) −7.11168 + 5.59269i −1.77792 + 1.39817i
\(17\) 4.04755 0.780102i 0.981676 0.189203i 0.326927 0.945049i \(-0.393987\pi\)
0.654748 + 0.755847i \(0.272775\pi\)
\(18\) −2.30892 + 1.19033i −0.544217 + 0.280563i
\(19\) 2.95791 + 0.570091i 0.678592 + 0.130788i 0.516890 0.856052i \(-0.327090\pi\)
0.161702 + 0.986840i \(0.448302\pi\)
\(20\) −0.555999 + 0.163256i −0.124325 + 0.0365051i
\(21\) −2.59749 0.503048i −0.566818 0.109774i
\(22\) 10.6450 2.26951
\(23\) −4.79549 0.0569436i −0.999930 0.0118736i
\(24\) −3.56919 + 6.18202i −0.728558 + 1.26190i
\(25\) 4.96253 + 0.473864i 0.992506 + 0.0947729i
\(26\) 7.10799 + 6.77745i 1.39399 + 1.32917i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) −11.6663 + 4.65832i −2.20473 + 0.880340i
\(29\) −5.53051 6.38255i −1.02699 1.18521i −0.982512 0.186199i \(-0.940383\pi\)
−0.0444779 0.999010i \(-0.514162\pi\)
\(30\) −0.249208 + 0.195979i −0.0454989 + 0.0357808i
\(31\) −0.426706 + 0.406864i −0.0766387 + 0.0730749i −0.727430 0.686181i \(-0.759286\pi\)
0.650792 + 0.759256i \(0.274437\pi\)
\(32\) 0.438961 + 9.21492i 0.0775980 + 1.62898i
\(33\) 3.80432 1.52302i 0.662247 0.265124i
\(34\) 4.44817 9.74014i 0.762855 1.67042i
\(35\) −0.322903 0.000290405i −0.0545806 4.90875e-5i
\(36\) −0.675708 + 4.69965i −0.112618 + 0.783275i
\(37\) −9.29184 4.79028i −1.52757 0.787516i −0.529421 0.848359i \(-0.677591\pi\)
−0.998147 + 0.0608424i \(0.980621\pi\)
\(38\) 5.66332 5.39997i 0.918712 0.875990i
\(39\) 3.50995 + 1.40517i 0.562042 + 0.225008i
\(40\) −0.284945 + 0.823295i −0.0450538 + 0.130174i
\(41\) 5.96543 + 3.83375i 0.931644 + 0.598731i 0.916014 0.401147i \(-0.131388\pi\)
0.0156302 + 0.999878i \(0.495025\pi\)
\(42\) −4.97837 + 4.73832i −0.768179 + 0.731139i
\(43\) 1.93378 0.567809i 0.294899 0.0865901i −0.130937 0.991391i \(-0.541798\pi\)
0.425835 + 0.904801i \(0.359980\pi\)
\(44\) 11.2859 15.8488i 1.70141 2.38930i
\(45\) −0.0610230 + 0.105695i −0.00909677 + 0.0157561i
\(46\) −7.34637 + 10.0615i −1.08316 + 1.48349i
\(47\) 1.92468 + 3.33365i 0.280744 + 0.486263i 0.971568 0.236760i \(-0.0760855\pi\)
−0.690824 + 0.723023i \(0.742752\pi\)
\(48\) 3.75840 + 8.22974i 0.542478 + 1.18786i
\(49\) −6.96949 + 0.652857i −0.995641 + 0.0932653i
\(50\) 8.48028 9.78676i 1.19929 1.38406i
\(51\) 0.196135 4.11737i 0.0274644 0.576548i
\(52\) 17.6266 3.39725i 2.44437 0.471114i
\(53\) 5.89629 + 2.36052i 0.809918 + 0.324242i 0.739398 0.673268i \(-0.235110\pi\)
0.0705194 + 0.997510i \(0.477534\pi\)
\(54\) 0.612428 + 2.52446i 0.0833409 + 0.343536i
\(55\) 0.420734 0.270389i 0.0567317 0.0364593i
\(56\) −4.46914 + 18.3500i −0.597214 + 2.45212i
\(57\) 1.25138 2.74013i 0.165749 0.362939i
\(58\) −21.8390 + 2.08537i −2.86760 + 0.273822i
\(59\) 9.29468 + 7.30942i 1.21006 + 0.951605i 0.999662 0.0260098i \(-0.00828013\pi\)
0.210403 + 0.977615i \(0.432523\pi\)
\(60\) 0.0275723 + 0.578815i 0.00355957 + 0.0747247i
\(61\) −2.53595 10.4533i −0.324695 1.33841i −0.867034 0.498250i \(-0.833976\pi\)
0.542339 0.840160i \(-0.317539\pi\)
\(62\) 0.217965 + 1.51598i 0.0276816 + 0.192530i
\(63\) −1.10125 + 2.40567i −0.138744 + 0.303086i
\(64\) 4.93812 + 3.17353i 0.617264 + 0.396692i
\(65\) 0.453089 + 0.0873258i 0.0561988 + 0.0108314i
\(66\) 2.50964 10.3449i 0.308916 1.27337i
\(67\) −1.09944 0.104984i −0.134318 0.0128259i 0.0276802 0.999617i \(-0.491188\pi\)
−0.161999 + 0.986791i \(0.551794\pi\)
\(68\) −9.78568 16.9493i −1.18669 2.05540i
\(69\) −1.18592 + 4.64689i −0.142768 + 0.559420i
\(70\) −0.487167 + 0.682829i −0.0582276 + 0.0816137i
\(71\) 2.60064 + 5.69461i 0.308639 + 0.675826i 0.998858 0.0477749i \(-0.0152130\pi\)
−0.690219 + 0.723601i \(0.742486\pi\)
\(72\) 5.16629 + 4.92605i 0.608853 + 0.580540i
\(73\) 2.57592 + 7.44262i 0.301488 + 0.871093i 0.989389 + 0.145288i \(0.0464110\pi\)
−0.687901 + 0.725804i \(0.741468\pi\)
\(74\) −24.1373 + 12.4436i −2.80590 + 1.44654i
\(75\) 1.63047 4.71093i 0.188270 0.543971i
\(76\) −2.03547 14.1570i −0.233484 1.62392i
\(77\) 8.52835 6.69436i 0.971896 0.762893i
\(78\) 8.26218 5.30978i 0.935507 0.601214i
\(79\) 5.30932 2.12553i 0.597345 0.239141i −0.0532308 0.998582i \(-0.516952\pi\)
0.650576 + 0.759441i \(0.274528\pi\)
\(80\) 0.640493 + 0.899446i 0.0716093 + 0.100561i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 17.1010 6.84621i 1.88849 0.756038i
\(83\) 3.56954 2.29401i 0.391808 0.251800i −0.329873 0.944025i \(-0.607006\pi\)
0.721681 + 0.692225i \(0.243370\pi\)
\(84\) 1.77657 + 12.4357i 0.193840 + 1.35685i
\(85\) −0.0715955 0.497958i −0.00776563 0.0540111i
\(86\) 1.71234 4.94748i 0.184646 0.533501i
\(87\) −7.50650 + 3.86987i −0.804781 + 0.414894i
\(88\) −9.56742 27.6433i −1.01989 2.94678i
\(89\) 11.2693 + 10.7453i 1.19454 + 1.13899i 0.986992 + 0.160771i \(0.0513980\pi\)
0.207552 + 0.978224i \(0.433450\pi\)
\(90\) 0.131702 + 0.288387i 0.0138826 + 0.0303987i
\(91\) 9.95684 + 0.959800i 1.04376 + 0.100614i
\(92\) 7.19148 + 21.6051i 0.749763 + 2.25248i
\(93\) 0.294795 + 0.510600i 0.0305688 + 0.0529467i
\(94\) 9.95417 + 0.950508i 1.02669 + 0.0980374i
\(95\) 0.0866756 0.357282i 0.00889273 0.0366563i
\(96\) 9.05865 + 1.74591i 0.924545 + 0.178191i
\(97\) −8.05367 5.17578i −0.817726 0.525521i 0.0636299 0.997974i \(-0.479732\pi\)
−0.881356 + 0.472453i \(0.843369\pi\)
\(98\) −9.12021 + 15.7313i −0.921281 + 1.58910i
\(99\) −0.583186 4.05615i −0.0586124 0.407658i
\(100\) −5.58022 23.0020i −0.558022 2.30020i
\(101\) −0.249340 5.23429i −0.0248102 0.520831i −0.976729 0.214479i \(-0.931195\pi\)
0.951918 0.306352i \(-0.0991085\pi\)
\(102\) −8.41688 6.61911i −0.833396 0.655390i
\(103\) −9.25013 + 0.883281i −0.911443 + 0.0870322i −0.540232 0.841516i \(-0.681663\pi\)
−0.371211 + 0.928549i \(0.621057\pi\)
\(104\) 11.2115 24.5497i 1.09938 2.40730i
\(105\) −0.0764095 + 0.313732i −0.00745680 + 0.0306171i
\(106\) 13.8795 8.91978i 1.34809 0.866366i
\(107\) 0.929176 + 3.83012i 0.0898269 + 0.370271i 0.998927 0.0463056i \(-0.0147448\pi\)
−0.909100 + 0.416577i \(0.863230\pi\)
\(108\) 4.40787 + 1.76464i 0.424147 + 0.169803i
\(109\) −17.0402 + 3.28423i −1.63215 + 0.314572i −0.921325 0.388792i \(-0.872892\pi\)
−0.710829 + 0.703364i \(0.751680\pi\)
\(110\) 0.0618172 1.29770i 0.00589404 0.123731i
\(111\) −6.84588 + 7.90057i −0.649782 + 0.749889i
\(112\) 15.6591 + 18.1045i 1.47965 + 1.71071i
\(113\) −1.48765 3.25750i −0.139947 0.306440i 0.826662 0.562700i \(-0.190237\pi\)
−0.966608 + 0.256259i \(0.917510\pi\)
\(114\) −3.91257 6.77677i −0.366446 0.634703i
\(115\) −0.0347901 + 0.584277i −0.00324420 + 0.0544841i
\(116\) −20.0491 + 34.7261i −1.86151 + 3.22423i
\(117\) 2.19306 3.07973i 0.202749 0.284721i
\(118\) 29.4721 8.65379i 2.71313 0.796646i
\(119\) −2.56163 10.6008i −0.234824 0.971773i
\(120\) 0.732909 + 0.471012i 0.0669051 + 0.0429973i
\(121\) −1.89453 + 5.47388i −0.172230 + 0.497625i
\(122\) −25.9405 10.3850i −2.34855 0.940216i
\(123\) 5.13209 4.89344i 0.462745 0.441226i
\(124\) 2.48817 + 1.28274i 0.223444 + 0.115194i
\(125\) 0.173431 1.20624i 0.0155121 0.107889i
\(126\) 3.43106 + 5.95514i 0.305663 + 0.530526i
\(127\) −6.39831 + 14.0103i −0.567758 + 1.24322i 0.380224 + 0.924894i \(0.375847\pi\)
−0.947982 + 0.318323i \(0.896881\pi\)
\(128\) −2.97304 + 1.19023i −0.262782 + 0.105202i
\(129\) −0.0958975 2.01314i −0.00844330 0.177247i
\(130\) 0.867501 0.827160i 0.0760848 0.0725467i
\(131\) −7.67413 + 6.03500i −0.670492 + 0.527281i −0.894365 0.447338i \(-0.852372\pi\)
0.223873 + 0.974618i \(0.428130\pi\)
\(132\) −12.7413 14.7043i −1.10899 1.27984i
\(133\) 1.14133 7.88778i 0.0989662 0.683958i
\(134\) −1.87880 + 2.16825i −0.162303 + 0.187308i
\(135\) 0.0883288 + 0.0842213i 0.00760213 + 0.00724862i
\(136\) −29.2915 2.79700i −2.51172 0.239841i
\(137\) 1.85492 3.21281i 0.158476 0.274489i −0.775843 0.630926i \(-0.782675\pi\)
0.934319 + 0.356437i \(0.116008\pi\)
\(138\) 8.04593 + 9.51138i 0.684915 + 0.809663i
\(139\) −11.8524 −1.00531 −0.502653 0.864488i \(-0.667643\pi\)
−0.502653 + 0.864488i \(0.667643\pi\)
\(140\) 0.500137 + 1.44927i 0.0422693 + 0.122485i
\(141\) 3.69344 1.08449i 0.311044 0.0913307i
\(142\) 15.9685 + 3.07768i 1.34005 + 0.258273i
\(143\) −13.7708 + 7.09934i −1.15157 + 0.593677i
\(144\) 8.88383 1.71222i 0.740319 0.142685i
\(145\) −0.810198 + 0.637147i −0.0672833 + 0.0529122i
\(146\) 19.6301 + 5.76391i 1.62460 + 0.477025i
\(147\) −1.00867 + 6.92695i −0.0831933 + 0.571325i
\(148\) −7.06381 + 49.1299i −0.580642 + 4.03845i
\(149\) 11.4553 1.09385i 0.938453 0.0896114i 0.385393 0.922753i \(-0.374066\pi\)
0.553060 + 0.833141i \(0.313460\pi\)
\(150\) −7.51159 10.5485i −0.613318 0.861285i
\(151\) 7.11426 + 5.59472i 0.578950 + 0.455292i 0.864191 0.503164i \(-0.167831\pi\)
−0.285240 + 0.958456i \(0.592073\pi\)
\(152\) −19.1129 9.85339i −1.55026 0.799215i
\(153\) −3.95507 1.16131i −0.319749 0.0938867i
\(154\) −1.31479 28.1332i −0.105949 2.26704i
\(155\) 0.0471218 + 0.0543815i 0.00378492 + 0.00436803i
\(156\) 0.854144 17.9307i 0.0683863 1.43560i
\(157\) 1.40625 + 4.06310i 0.112231 + 0.324271i 0.987104 0.160083i \(-0.0511761\pi\)
−0.874872 + 0.484353i \(0.839055\pi\)
\(158\) 3.50246 14.4373i 0.278641 1.14857i
\(159\) 3.68408 5.17357i 0.292167 0.410291i
\(160\) 1.12592 0.0890116
\(161\) 0.441812 + 12.6809i 0.0348197 + 0.999394i
\(162\) 2.59769 0.204094
\(163\) −6.98886 + 9.81448i −0.547410 + 0.768729i −0.991895 0.127057i \(-0.959447\pi\)
0.444486 + 0.895786i \(0.353386\pi\)
\(164\) 7.93765 32.7194i 0.619826 2.55496i
\(165\) −0.163576 0.472621i −0.0127343 0.0367935i
\(166\) 0.524462 11.0098i 0.0407062 0.854528i
\(167\) 3.78162 + 4.36422i 0.292631 + 0.337714i 0.882960 0.469449i \(-0.155547\pi\)
−0.590329 + 0.807163i \(0.701002\pi\)
\(168\) 16.7791 + 8.66934i 1.29454 + 0.668854i
\(169\) −1.24183 0.364634i −0.0955254 0.0280488i
\(170\) −1.16157 0.598829i −0.0890881 0.0459281i
\(171\) −2.36787 1.86211i −0.181075 0.142399i
\(172\) −5.55066 7.79481i −0.423234 0.594349i
\(173\) 8.98869 0.858315i 0.683397 0.0652565i 0.252418 0.967618i \(-0.418774\pi\)
0.430979 + 0.902362i \(0.358168\pi\)
\(174\) −3.12215 + 21.7150i −0.236689 + 1.64621i
\(175\) 0.639423 13.1738i 0.0483358 0.995849i
\(176\) −35.5729 10.4452i −2.68141 0.787333i
\(177\) 9.29468 7.30942i 0.698631 0.549409i
\(178\) 39.7178 7.65497i 2.97697 0.573764i
\(179\) 9.07690 4.67947i 0.678439 0.349760i −0.0843231 0.996438i \(-0.526873\pi\)
0.762763 + 0.646679i \(0.223842\pi\)
\(180\) 0.568999 + 0.109666i 0.0424107 + 0.00817399i
\(181\) 13.4093 3.93732i 0.996704 0.292659i 0.257601 0.966251i \(-0.417068\pi\)
0.739103 + 0.673593i \(0.235250\pi\)
\(182\) 17.0340 19.6226i 1.26264 1.45452i
\(183\) −10.7565 −0.795145
\(184\) 32.7309 + 10.0343i 2.41295 + 0.739739i
\(185\) −0.637931 + 1.10493i −0.0469016 + 0.0812360i
\(186\) 1.52463 + 0.145585i 0.111792 + 0.0106748i
\(187\) 12.2250 + 11.6565i 0.893980 + 0.852409i
\(188\) 11.9687 13.8126i 0.872907 1.00739i
\(189\) 2.07823 + 1.63736i 0.151169 + 0.119101i
\(190\) −0.625409 0.721761i −0.0453720 0.0523620i
\(191\) −20.1313 + 15.8314i −1.45665 + 1.14552i −0.495800 + 0.868437i \(0.665125\pi\)
−0.960846 + 0.277083i \(0.910632\pi\)
\(192\) 4.24828 4.05073i 0.306593 0.292336i
\(193\) −0.0705009 1.48000i −0.00507477 0.106532i −0.999983 0.00575202i \(-0.998169\pi\)
0.994909 0.100780i \(-0.0321340\pi\)
\(194\) −23.0873 + 9.24277i −1.65757 + 0.663592i
\(195\) 0.191684 0.419730i 0.0137268 0.0300575i
\(196\) 13.7523 + 30.2572i 0.982305 + 2.16123i
\(197\) 0.176038 1.22437i 0.0125422 0.0872329i −0.982589 0.185793i \(-0.940515\pi\)
0.995131 + 0.0985602i \(0.0314237\pi\)
\(198\) −9.46162 4.87780i −0.672408 0.346650i
\(199\) −4.63468 + 4.41915i −0.328543 + 0.313266i −0.836340 0.548212i \(-0.815309\pi\)
0.507796 + 0.861477i \(0.330460\pi\)
\(200\) −33.0365 13.2258i −2.33603 0.935207i
\(201\) −0.361229 + 1.04370i −0.0254791 + 0.0736170i
\(202\) −11.4515 7.35945i −0.805727 0.517809i
\(203\) −16.1851 + 15.4047i −1.13597 + 1.08120i
\(204\) −18.7786 + 5.51389i −1.31476 + 0.386050i
\(205\) 0.502006 0.704969i 0.0350616 0.0492372i
\(206\) −12.0691 + 20.9043i −0.840896 + 1.45647i
\(207\) 4.23631 + 2.24804i 0.294444 + 0.156249i
\(208\) −17.1030 29.6232i −1.18588 2.05400i
\(209\) 5.12796 + 11.2287i 0.354709 + 0.776703i
\(210\) 0.548728 + 0.634417i 0.0378658 + 0.0437790i
\(211\) 12.7522 14.7168i 0.877898 1.01315i −0.121890 0.992544i \(-0.538895\pi\)
0.999788 0.0206048i \(-0.00655918\pi\)
\(212\) 1.43486 30.1214i 0.0985465 2.06875i
\(213\) 6.14721 1.18478i 0.421200 0.0811796i
\(214\) 9.50467 + 3.80509i 0.649726 + 0.260111i
\(215\) −0.0579905 0.239040i −0.00395492 0.0163024i
\(216\) 6.00519 3.85930i 0.408601 0.262592i
\(217\) 1.12799 + 1.07747i 0.0765730 + 0.0731438i
\(218\) −18.7268 + 41.0060i −1.26834 + 2.77728i
\(219\) 7.84012 0.748640i 0.529786 0.0505884i
\(220\) −1.86656 1.46788i −0.125843 0.0989641i
\(221\) 0.741541 + 15.5669i 0.0498815 + 1.04714i
\(222\) 6.40229 + 26.3906i 0.429693 + 1.77122i
\(223\) 2.29187 + 15.9403i 0.153475 + 1.06744i 0.910338 + 0.413866i \(0.135822\pi\)
−0.756863 + 0.653573i \(0.773269\pi\)
\(224\) 24.2996 2.29828i 1.62358 0.153560i
\(225\) −4.19374 2.69515i −0.279582 0.179677i
\(226\) −9.13453 1.76054i −0.607620 0.117109i
\(227\) −2.36822 + 9.76192i −0.157184 + 0.647921i 0.837632 + 0.546234i \(0.183939\pi\)
−0.994816 + 0.101687i \(0.967576\pi\)
\(228\) −14.2378 1.35955i −0.942922 0.0900381i
\(229\) 7.52743 + 13.0379i 0.497427 + 0.861568i 0.999996 0.00296905i \(-0.000945080\pi\)
−0.502569 + 0.864537i \(0.667612\pi\)
\(230\) 1.18392 + 0.954008i 0.0780651 + 0.0629054i
\(231\) −4.49502 9.86620i −0.295751 0.649149i
\(232\) 25.0437 + 54.8380i 1.64420 + 3.60029i
\(233\) −10.1445 9.67274i −0.664587 0.633682i 0.280749 0.959781i \(-0.409417\pi\)
−0.945336 + 0.326099i \(0.894266\pi\)
\(234\) −3.21222 9.28111i −0.209990 0.606725i
\(235\) 0.417574 0.215275i 0.0272395 0.0140430i
\(236\) 18.3624 53.0546i 1.19529 3.45356i
\(237\) −0.813896 5.66077i −0.0528682 0.367706i
\(238\) −26.2913 10.5529i −1.70421 0.684042i
\(239\) 12.5792 8.08418i 0.813682 0.522922i −0.0663720 0.997795i \(-0.521142\pi\)
0.880054 + 0.474873i \(0.157506\pi\)
\(240\) 1.02509 0.410386i 0.0661696 0.0264903i
\(241\) −7.49584 10.5264i −0.482849 0.678067i 0.499244 0.866461i \(-0.333611\pi\)
−0.982093 + 0.188394i \(0.939672\pi\)
\(242\) 8.72811 + 12.2569i 0.561064 + 0.787905i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) −42.9643 + 27.6115i −2.75051 + 1.76764i
\(245\) 0.0391152 + 0.853425i 0.00249898 + 0.0545234i
\(246\) −2.62151 18.2330i −0.167142 1.16250i
\(247\) −3.72498 + 10.7626i −0.237015 + 0.684810i
\(248\) 3.74086 1.92855i 0.237545 0.122463i
\(249\) −1.38779 4.00976i −0.0879476 0.254108i
\(250\) −2.29109 2.18455i −0.144901 0.138163i
\(251\) −6.95639 15.2324i −0.439083 0.961458i −0.991766 0.128066i \(-0.959123\pi\)
0.552682 0.833392i \(-0.313604\pi\)
\(252\) 12.5040 + 1.20534i 0.787678 + 0.0759291i
\(253\) −11.2088 16.1428i −0.704689 1.01489i
\(254\) 20.0051 + 34.6498i 1.25523 + 2.17412i
\(255\) −0.500801 0.0478207i −0.0313614 0.00299465i
\(256\) −4.72905 + 19.4934i −0.295566 + 1.21834i
\(257\) −23.0101 4.43483i −1.43533 0.276637i −0.588498 0.808499i \(-0.700281\pi\)
−0.846831 + 0.531862i \(0.821493\pi\)
\(258\) −4.40432 2.83049i −0.274201 0.176218i
\(259\) −11.5124 + 25.1488i −0.715346 + 1.56267i
\(260\) −0.311790 2.16855i −0.0193364 0.134488i
\(261\) 1.99106 + 8.20726i 0.123244 + 0.508017i
\(262\) 1.20672 + 25.3321i 0.0745513 + 1.56502i
\(263\) −6.40052 5.03343i −0.394673 0.310374i 0.401026 0.916067i \(-0.368654\pi\)
−0.795699 + 0.605692i \(0.792896\pi\)
\(264\) −29.1196 + 2.78059i −1.79219 + 0.171133i
\(265\) 0.322006 0.705095i 0.0197807 0.0433136i
\(266\) −14.9709 14.3004i −0.917924 0.876816i
\(267\) 13.0992 8.41835i 0.801658 0.515194i
\(268\) 1.23629 + 5.09606i 0.0755185 + 0.311292i
\(269\) 24.7790 + 9.92003i 1.51080 + 0.604835i 0.971450 0.237245i \(-0.0762443\pi\)
0.539354 + 0.842079i \(0.318669\pi\)
\(270\) 0.311308 0.0599997i 0.0189456 0.00365146i
\(271\) −0.701092 + 14.7177i −0.0425883 + 0.894038i 0.871964 + 0.489570i \(0.162846\pi\)
−0.914552 + 0.404468i \(0.867457\pi\)
\(272\) −24.4220 + 28.1845i −1.48080 + 1.70894i
\(273\) 3.28016 9.44989i 0.198524 0.571933i
\(274\) −4.00335 8.76612i −0.241851 0.529581i
\(275\) 10.2141 + 17.6914i 0.615935 + 1.06683i
\(276\) 22.6915 1.89518i 1.36587 0.114076i
\(277\) 10.5017 18.1895i 0.630987 1.09290i −0.356363 0.934348i \(-0.615983\pi\)
0.987350 0.158555i \(-0.0506834\pi\)
\(278\) −17.8592 + 25.0798i −1.07113 + 1.50419i
\(279\) 0.565707 0.166107i 0.0338680 0.00994455i
\(280\) 2.21105 + 0.651384i 0.132136 + 0.0389276i
\(281\) 14.9045 + 9.57853i 0.889127 + 0.571407i 0.903547 0.428489i \(-0.140954\pi\)
−0.0144204 + 0.999896i \(0.504590\pi\)
\(282\) 3.27050 9.44949i 0.194755 0.562709i
\(283\) −27.0285 10.8206i −1.60668 0.643216i −0.617055 0.786920i \(-0.711675\pi\)
−0.989621 + 0.143704i \(0.954099\pi\)
\(284\) 21.5122 20.5119i 1.27652 1.21716i
\(285\) −0.326776 0.168465i −0.0193565 0.00997899i
\(286\) −5.72763 + 39.8365i −0.338682 + 2.35558i
\(287\) 9.39528 16.2394i 0.554586 0.958579i
\(288\) 3.83236 8.39169i 0.225824 0.494485i
\(289\) −0.00812783 + 0.00325389i −0.000478107 + 0.000191405i
\(290\) 0.127400 + 2.67445i 0.00748116 + 0.157049i
\(291\) −6.92860 + 6.60641i −0.406162 + 0.387275i
\(292\) 29.3937 23.1155i 1.72014 1.35273i
\(293\) −10.2754 11.8584i −0.600294 0.692776i 0.371547 0.928414i \(-0.378827\pi\)
−0.971841 + 0.235638i \(0.924282\pi\)
\(294\) 13.1376 + 12.5719i 0.766203 + 0.733209i
\(295\) 0.945050 1.09065i 0.0550229 0.0634998i
\(296\) 54.0081 + 51.4967i 3.13916 + 2.99318i
\(297\) −4.07931 0.389526i −0.236705 0.0226026i
\(298\) 14.9463 25.8877i 0.865815 1.49964i
\(299\) 2.79336 17.9155i 0.161544 1.03608i
\(300\) −23.6692 −1.36654
\(301\) −1.73949 5.04059i −0.100263 0.290535i
\(302\) 22.5583 6.62372i 1.29808 0.381152i
\(303\) −5.14553 0.991719i −0.295603 0.0569728i
\(304\) −24.2241 + 12.4884i −1.38935 + 0.716258i
\(305\) −1.28907 + 0.248447i −0.0738117 + 0.0142260i
\(306\) −8.41688 + 6.61911i −0.481161 + 0.378389i
\(307\) −32.5016 9.54333i −1.85496 0.544666i −0.999647 0.0265601i \(-0.991545\pi\)
−0.855316 0.518106i \(-0.826637\pi\)
\(308\) −43.2803 27.8696i −2.46612 1.58802i
\(309\) −1.32242 + 9.19763i −0.0752298 + 0.523235i
\(310\) 0.186075 0.0177681i 0.0105684 0.00100916i
\(311\) 19.6317 + 27.5689i 1.11321 + 1.56329i 0.785879 + 0.618380i \(0.212211\pi\)
0.327334 + 0.944909i \(0.393850\pi\)
\(312\) −21.2145 16.6833i −1.20103 0.944503i
\(313\) −6.44857 3.32447i −0.364495 0.187910i 0.266243 0.963906i \(-0.414217\pi\)
−0.630738 + 0.775996i \(0.717248\pi\)
\(314\) 10.7165 + 3.14665i 0.604768 + 0.177576i
\(315\) 0.286875 + 0.148221i 0.0161636 + 0.00835130i
\(316\) −17.7818 20.5213i −1.00031 1.15441i
\(317\) 0.100893 2.11801i 0.00566673 0.118959i −0.994261 0.106977i \(-0.965883\pi\)
0.999928 0.0119821i \(-0.00381412\pi\)
\(318\) −5.39614 15.5911i −0.302601 0.874307i
\(319\) 8.15909 33.6322i 0.456821 1.88304i
\(320\) 0.415555 0.583565i 0.0232302 0.0326223i
\(321\) 3.94121 0.219977
\(322\) 27.4986 + 18.1728i 1.53244 + 1.01273i
\(323\) 12.4170 0.690903
\(324\) 2.75410 3.86759i 0.153005 0.214866i
\(325\) −4.44348 + 18.3163i −0.246480 + 1.01600i
\(326\) 10.2367 + 29.5770i 0.566959 + 1.63812i
\(327\) −0.825727 + 17.3341i −0.0456628 + 0.958581i
\(328\) −33.1485 38.2554i −1.83032 2.11230i
\(329\) 8.57267 5.49843i 0.472626 0.303138i
\(330\) −1.24655 0.366020i −0.0686202 0.0201487i
\(331\) −16.5274 8.52045i −0.908426 0.468326i −0.0603360 0.998178i \(-0.519217\pi\)
−0.848090 + 0.529852i \(0.822248\pi\)
\(332\) −15.8360 12.4536i −0.869115 0.683479i
\(333\) 6.06388 + 8.51553i 0.332299 + 0.466648i
\(334\) 14.9329 1.42592i 0.817094 0.0780230i
\(335\) −0.0191830 + 0.133421i −0.00104808 + 0.00728957i
\(336\) 21.2859 10.9494i 1.16124 0.597340i
\(337\) −5.02602 1.47577i −0.273785 0.0803905i 0.141958 0.989873i \(-0.454660\pi\)
−0.415743 + 0.909482i \(0.636478\pi\)
\(338\) −2.64277 + 2.07830i −0.143748 + 0.113044i
\(339\) −3.51641 + 0.677732i −0.190985 + 0.0368094i
\(340\) −2.12308 + 1.09452i −0.115140 + 0.0593588i
\(341\) −2.37240 0.457242i −0.128472 0.0247610i
\(342\) −7.50817 + 2.20460i −0.405995 + 0.119211i
\(343\) 2.58624 + 18.3388i 0.139644 + 0.990202i
\(344\) −14.3868 −0.775686
\(345\) 0.559605 + 0.171558i 0.0301281 + 0.00923637i
\(346\) 11.7280 20.3135i 0.630501 1.09206i
\(347\) −33.9258 3.23952i −1.82123 0.173907i −0.872214 0.489125i \(-0.837316\pi\)
−0.949019 + 0.315218i \(0.897922\pi\)
\(348\) 29.0204 + 27.6709i 1.55566 + 1.48332i
\(349\) −21.4276 + 24.7288i −1.14699 + 1.32370i −0.208654 + 0.977990i \(0.566908\pi\)
−0.938340 + 0.345713i \(0.887637\pi\)
\(350\) −26.9125 21.2034i −1.43854 1.13337i
\(351\) −2.47588 2.85732i −0.132153 0.152512i
\(352\) −29.7162 + 23.3690i −1.58388 + 1.24557i
\(353\) −18.0255 + 17.1872i −0.959398 + 0.914784i −0.996421 0.0845300i \(-0.973061\pi\)
0.0370226 + 0.999314i \(0.488213\pi\)
\(354\) −1.46154 30.6815i −0.0776801 1.63071i
\(355\) 0.709319 0.283968i 0.0376467 0.0150715i
\(356\) 30.7120 67.2500i 1.62774 3.56424i
\(357\) −10.9059 0.00980830i −0.577201 0.000519110i
\(358\) 3.77532 26.2579i 0.199532 1.38777i
\(359\) −7.92848 4.08742i −0.418449 0.215726i 0.236126 0.971722i \(-0.424122\pi\)
−0.654575 + 0.755997i \(0.727153\pi\)
\(360\) 0.630525 0.601204i 0.0332316 0.0316862i
\(361\) −9.21474 3.68903i −0.484986 0.194159i
\(362\) 11.8738 34.3070i 0.624071 1.80314i
\(363\) 4.87293 + 3.13164i 0.255762 + 0.164368i
\(364\) −11.1556 46.1652i −0.584713 2.41972i
\(365\) 0.922271 0.270803i 0.0482739 0.0141745i
\(366\) −16.2080 + 22.7609i −0.847206 + 1.18973i
\(367\) 2.11128 3.65684i 0.110208 0.190885i −0.805646 0.592397i \(-0.798182\pi\)
0.915854 + 0.401512i \(0.131515\pi\)
\(368\) 34.4225 26.4147i 1.79440 1.37696i
\(369\) −3.54556 6.14109i −0.184575 0.319693i
\(370\) 1.37681 + 3.01478i 0.0715767 + 0.156731i
\(371\) 5.51027 15.8747i 0.286079 0.824171i
\(372\) 1.83319 2.11561i 0.0950465 0.109690i
\(373\) 1.34146 28.1607i 0.0694580 1.45810i −0.648074 0.761578i \(-0.724425\pi\)
0.717532 0.696526i \(-0.245272\pi\)
\(374\) 43.0860 8.30415i 2.22793 0.429397i
\(375\) −1.13135 0.452923i −0.0584225 0.0233889i
\(376\) −6.47824 26.7037i −0.334090 1.37714i
\(377\) 26.8611 17.2626i 1.38342 0.889068i
\(378\) 6.59617 1.93037i 0.339271 0.0992875i
\(379\) 6.71335 14.7002i 0.344842 0.755098i −0.655158 0.755492i \(-0.727398\pi\)
1.00000 0.000393907i \(0.000125385\pi\)
\(380\) −1.73767 + 0.165927i −0.0891404 + 0.00851188i
\(381\) 12.1070 + 9.52101i 0.620258 + 0.487776i
\(382\) 3.16554 + 66.4528i 0.161963 + 3.40002i
\(383\) −8.75308 36.0807i −0.447261 1.84364i −0.531313 0.847175i \(-0.678301\pi\)
0.0840519 0.996461i \(-0.473214\pi\)
\(384\) 0.455755 + 3.16985i 0.0232576 + 0.161760i
\(385\) −0.766569 1.07855i −0.0390680 0.0549678i
\(386\) −3.23792 2.08089i −0.164806 0.105914i
\(387\) −1.97900 0.381421i −0.100598 0.0193887i
\(388\) −10.7163 + 44.1731i −0.544036 + 2.24255i
\(389\) −6.82460 0.651670i −0.346021 0.0330410i −0.0794010 0.996843i \(-0.525301\pi\)
−0.266620 + 0.963802i \(0.585907\pi\)
\(390\) −0.599323 1.03806i −0.0303479 0.0525641i
\(391\) −19.4544 + 3.51049i −0.983853 + 0.177533i
\(392\) 49.0486 + 9.54488i 2.47733 + 0.482089i
\(393\) 4.05564 + 8.88061i 0.204580 + 0.447968i
\(394\) −2.32553 2.21739i −0.117159 0.111710i
\(395\) −0.228286 0.659590i −0.0114863 0.0331876i
\(396\) −17.2937 + 8.91551i −0.869040 + 0.448021i
\(397\) 4.50407 13.0136i 0.226053 0.653136i −0.773754 0.633486i \(-0.781624\pi\)
0.999807 0.0196503i \(-0.00625528\pi\)
\(398\) 2.36743 + 16.4658i 0.118669 + 0.825358i
\(399\) −7.39636 2.96878i −0.370281 0.148625i
\(400\) −37.9421 + 24.3839i −1.89711 + 1.21920i
\(401\) 0.784151 0.313927i 0.0391586 0.0156767i −0.352000 0.936000i \(-0.614498\pi\)
0.391159 + 0.920323i \(0.372074\pi\)
\(402\) 1.66418 + 2.33702i 0.0830020 + 0.116560i
\(403\) −1.29301 1.81578i −0.0644093 0.0904503i
\(404\) −23.0982 + 9.24713i −1.14918 + 0.460062i
\(405\) 0.102672 0.0659830i 0.00510179 0.00327872i
\(406\) 8.20875 + 57.4599i 0.407393 + 2.85169i
\(407\) −6.09660 42.4028i −0.302197 2.10183i
\(408\) −9.62389 + 27.8064i −0.476453 + 1.37662i
\(409\) 34.7826 17.9317i 1.71989 0.886663i 0.744061 0.668112i \(-0.232897\pi\)
0.975825 0.218551i \(-0.0701331\pi\)
\(410\) −0.735297 2.12450i −0.0363138 0.104922i
\(411\) −2.68494 2.56008i −0.132438 0.126279i
\(412\) 18.3278 + 40.1322i 0.902945 + 1.97717i
\(413\) 18.1698 25.4674i 0.894077 1.25317i
\(414\) 11.1402 5.57674i 0.547510 0.274082i
\(415\) −0.258928 0.448476i −0.0127103 0.0220148i
\(416\) −34.7211 3.31546i −1.70234 0.162554i
\(417\) −2.79430 + 11.5183i −0.136838 + 0.564052i
\(418\) 31.4869 + 6.06860i 1.54007 + 0.296825i
\(419\) 12.6424 + 8.12477i 0.617621 + 0.396921i 0.811708 0.584063i \(-0.198538\pi\)
−0.194087 + 0.980984i \(0.562174\pi\)
\(420\) 1.52632 0.144361i 0.0744770 0.00704411i
\(421\) −3.20635 22.3007i −0.156268 1.08687i −0.905434 0.424487i \(-0.860455\pi\)
0.749166 0.662382i \(-0.230454\pi\)
\(422\) −11.9259 49.1593i −0.580544 2.39303i
\(423\) −0.183160 3.84501i −0.00890555 0.186951i
\(424\) −35.6378 28.0258i −1.73072 1.36106i
\(425\) 20.4558 1.95329i 0.992251 0.0947485i
\(426\) 6.75565 14.7928i 0.327312 0.716714i
\(427\) −27.3135 + 7.99329i −1.32179 + 0.386822i
\(428\) 15.7422 10.1169i 0.760928 0.489019i
\(429\) 3.65263 + 15.0564i 0.176351 + 0.726928i
\(430\) −0.593192 0.237478i −0.0286063 0.0114522i
\(431\) 12.4776 2.40486i 0.601025 0.115838i 0.120342 0.992732i \(-0.461601\pi\)
0.480683 + 0.876894i \(0.340389\pi\)
\(432\) 0.430489 9.03708i 0.0207119 0.434797i
\(433\) 6.25090 7.21393i 0.300399 0.346679i −0.585403 0.810743i \(-0.699064\pi\)
0.885802 + 0.464063i \(0.153609\pi\)
\(434\) 3.97961 0.763296i 0.191028 0.0366394i
\(435\) 0.428175 + 0.937573i 0.0205294 + 0.0449532i
\(436\) 41.1977 + 71.3566i 1.97301 + 3.41736i
\(437\) −14.1522 2.90230i −0.676991 0.138836i
\(438\) 10.2294 17.7178i 0.488780 0.846592i
\(439\) −6.62880 + 9.30885i −0.316375 + 0.444287i −0.941888 0.335927i \(-0.890950\pi\)
0.625513 + 0.780214i \(0.284890\pi\)
\(440\) −3.42548 + 1.00581i −0.163304 + 0.0479503i
\(441\) 6.49389 + 2.61332i 0.309233 + 0.124444i
\(442\) 34.0571 + 21.8871i 1.61993 + 1.04107i
\(443\) −3.59585 + 10.3895i −0.170844 + 0.493621i −0.997623 0.0689054i \(-0.978049\pi\)
0.826779 + 0.562526i \(0.190171\pi\)
\(444\) 46.0796 + 18.4475i 2.18684 + 0.875480i
\(445\) 1.37537 1.31141i 0.0651989 0.0621670i
\(446\) 37.1832 + 19.1693i 1.76068 + 0.907692i
\(447\) 1.63767 11.3903i 0.0774592 0.538741i
\(448\) 7.77731 13.4428i 0.367443 0.635110i
\(449\) −4.53956 + 9.94025i −0.214235 + 0.469110i −0.985989 0.166812i \(-0.946653\pi\)
0.771754 + 0.635922i \(0.219380\pi\)
\(450\) −12.0221 + 4.81293i −0.566728 + 0.226884i
\(451\) 1.38266 + 29.0255i 0.0651067 + 1.36676i
\(452\) −12.3057 + 11.7335i −0.578812 + 0.551896i
\(453\) 7.11426 5.59472i 0.334257 0.262863i
\(454\) 17.0879 + 19.7205i 0.801975 + 0.925529i
\(455\) 0.174828 1.20824i 0.00819607 0.0566432i
\(456\) −14.0817 + 16.2511i −0.659435 + 0.761028i
\(457\) 13.4575 + 12.8317i 0.629515 + 0.600242i 0.936156 0.351584i \(-0.114357\pi\)
−0.306641 + 0.951825i \(0.599205\pi\)
\(458\) 38.9307 + 3.71743i 1.81911 + 0.173704i
\(459\) −2.06102 + 3.56979i −0.0962003 + 0.166624i
\(460\) 2.67558 0.751232i 0.124750 0.0350264i
\(461\) −36.3739 −1.69410 −0.847050 0.531514i \(-0.821623\pi\)
−0.847050 + 0.531514i \(0.821623\pi\)
\(462\) −27.6501 5.35492i −1.28640 0.249134i
\(463\) 33.8502 9.93930i 1.57315 0.461919i 0.625234 0.780438i \(-0.285004\pi\)
0.947916 + 0.318519i \(0.103186\pi\)
\(464\) 75.0268 + 14.4602i 3.48303 + 0.671300i
\(465\) 0.0639580 0.0329726i 0.00296598 0.00152907i
\(466\) −35.7534 + 6.89091i −1.65624 + 0.319215i
\(467\) 4.20178 3.30431i 0.194435 0.152905i −0.516196 0.856471i \(-0.672652\pi\)
0.710630 + 0.703565i \(0.248410\pi\)
\(468\) −17.2239 5.05739i −0.796174 0.233778i
\(469\) −0.141663 + 2.91865i −0.00654141 + 0.134771i
\(470\) 0.173680 1.20797i 0.00801125 0.0557195i
\(471\) 4.28010 0.408700i 0.197217 0.0188319i
\(472\) −48.9613 68.7565i −2.25363 3.16478i
\(473\) 6.49194 + 5.10532i 0.298500 + 0.234743i
\(474\) −13.2046 6.80747i −0.606509 0.312677i
\(475\) 14.4086 + 4.23074i 0.661112 + 0.194120i
\(476\) −43.5861 + 27.9557i −1.99777 + 1.28135i
\(477\) −4.15918 4.79995i −0.190436 0.219775i
\(478\) 1.84823 38.7991i 0.0845360 1.77463i
\(479\) 13.8161 + 39.9190i 0.631273 + 1.82394i 0.563294 + 0.826257i \(0.309534\pi\)
0.0679793 + 0.997687i \(0.478345\pi\)
\(480\) 0.265445 1.09418i 0.0121159 0.0499423i
\(481\) 22.9262 32.1953i 1.04534 1.46798i
\(482\) −33.5688 −1.52902
\(483\) 12.4276 + 2.56027i 0.565475 + 0.116496i
\(484\) 27.5025 1.25011
\(485\) −0.677736 + 0.951747i −0.0307744 + 0.0432166i
\(486\) 0.612428 2.52446i 0.0277803 0.114512i
\(487\) 2.89602 + 8.36749i 0.131231 + 0.379167i 0.991404 0.130835i \(-0.0417658\pi\)
−0.860173 + 0.510002i \(0.829645\pi\)
\(488\) −3.65354 + 76.6972i −0.165388 + 3.47192i
\(489\) 7.89014 + 9.10571i 0.356804 + 0.411774i
\(490\) 1.86480 + 1.20318i 0.0842430 + 0.0543541i
\(491\) −20.9493 6.15127i −0.945429 0.277603i −0.227546 0.973767i \(-0.573070\pi\)
−0.717882 + 0.696164i \(0.754888\pi\)
\(492\) −29.9257 15.4278i −1.34916 0.695539i
\(493\) −27.3641 21.5193i −1.23242 0.969182i
\(494\) 17.1610 + 24.0993i 0.772112 + 1.08428i
\(495\) −0.497862 + 0.0475401i −0.0223773 + 0.00213677i
\(496\) 0.759138 5.27992i 0.0340863 0.237075i
\(497\) 14.7289 7.57651i 0.660681 0.339853i
\(498\) −10.5758 3.10534i −0.473914 0.139154i
\(499\) −9.83016 + 7.73053i −0.440059 + 0.346066i −0.813477 0.581597i \(-0.802428\pi\)
0.373418 + 0.927663i \(0.378186\pi\)
\(500\) −5.68152 + 1.09502i −0.254085 + 0.0489709i
\(501\) 5.13276 2.64612i 0.229315 0.118220i
\(502\) −42.7138 8.23241i −1.90641 0.367431i
\(503\) −15.4280 + 4.53007i −0.687900 + 0.201986i −0.606959 0.794733i \(-0.707611\pi\)
−0.0809412 + 0.996719i \(0.525793\pi\)
\(504\) 12.3808 14.2623i 0.551484 0.635291i
\(505\) −0.639548 −0.0284595
\(506\) −51.0478 0.606162i −2.26935 0.0269472i
\(507\) −0.647128 + 1.12086i −0.0287400 + 0.0497791i
\(508\) 72.7982 + 6.95138i 3.22990 + 0.308418i
\(509\) −11.5493 11.0123i −0.511915 0.488110i 0.389524 0.921016i \(-0.372640\pi\)
−0.901439 + 0.432907i \(0.857488\pi\)
\(510\) −0.855799 + 0.987644i −0.0378954 + 0.0437336i
\(511\) 19.3517 7.72706i 0.856068 0.341825i
\(512\) 29.9282 + 34.5390i 1.32265 + 1.52642i
\(513\) −2.36787 + 1.86211i −0.104544 + 0.0822142i
\(514\) −44.0559 + 42.0072i −1.94322 + 1.85286i
\(515\) 0.0539615 + 1.13279i 0.00237783 + 0.0499168i
\(516\) −8.88370 + 3.55650i −0.391083 + 0.156566i
\(517\) −6.55282 + 14.3487i −0.288193 + 0.631054i
\(518\) 35.8681 + 62.2547i 1.57596 + 2.73531i
\(519\) 1.28504 8.93766i 0.0564071 0.392320i
\(520\) −2.92769 1.50933i −0.128388 0.0661885i
\(521\) 26.8795 25.6296i 1.17761 1.12285i 0.187545 0.982256i \(-0.439947\pi\)
0.990067 0.140595i \(-0.0449016\pi\)
\(522\) 20.3668 + 8.15364i 0.891431 + 0.356875i
\(523\) −3.72000 + 10.7482i −0.162664 + 0.469988i −0.996649 0.0818001i \(-0.973933\pi\)
0.833984 + 0.551788i \(0.186054\pi\)
\(524\) 38.9953 + 25.0608i 1.70352 + 1.09479i
\(525\) −12.6517 3.72725i −0.552167 0.162670i
\(526\) −20.2951 + 5.95919i −0.884910 + 0.259833i
\(527\) −1.40972 + 1.97968i −0.0614084 + 0.0862361i
\(528\) −18.5373 + 32.1076i −0.806735 + 1.39731i
\(529\) 22.9935 + 0.546145i 0.999718 + 0.0237454i
\(530\) −1.00679 1.74381i −0.0437321 0.0757463i
\(531\) −4.91207 10.7559i −0.213166 0.466768i
\(532\) −37.1636 + 7.12804i −1.61125 + 0.309040i
\(533\) −17.5568 + 20.2616i −0.760468 + 0.877627i
\(534\) 1.92463 40.4029i 0.0832868 1.74840i
\(535\) 0.472316 0.0910315i 0.0204200 0.00393564i
\(536\) 7.31921 + 2.93017i 0.316142 + 0.126564i
\(537\) −2.40760 9.92426i −0.103896 0.428264i
\(538\) 58.3281 37.4852i 2.51470 1.61610i
\(539\) −18.7457 21.7124i −0.807433 0.935221i
\(540\) 0.240721 0.527106i 0.0103590 0.0226830i
\(541\) −3.31934 + 0.316958i −0.142710 + 0.0136271i −0.166166 0.986098i \(-0.553139\pi\)
0.0234568 + 0.999725i \(0.492533\pi\)
\(542\) 30.0865 + 23.6603i 1.29233 + 1.01630i
\(543\) −0.664975 13.9596i −0.0285368 0.599062i
\(544\) 8.96529 + 36.9554i 0.384384 + 1.58445i
\(545\) 0.301417 + 2.09640i 0.0129113 + 0.0898000i
\(546\) −15.0535 21.1800i −0.644231 0.906421i
\(547\) 35.4505 + 22.7827i 1.51575 + 0.974116i 0.992541 + 0.121914i \(0.0389033\pi\)
0.523213 + 0.852202i \(0.324733\pi\)
\(548\) −17.2959 3.33351i −0.738845 0.142401i
\(549\) −2.53595 + 10.4533i −0.108232 + 0.446137i
\(550\) 52.8259 + 5.04427i 2.25251 + 0.215088i
\(551\) −12.7201 22.0319i −0.541896 0.938591i
\(552\) 17.4681 29.4426i 0.743490 1.25316i
\(553\) −6.27326 13.7693i −0.266766 0.585530i
\(554\) −22.6652 49.6299i −0.962952 2.10857i
\(555\) 0.923384 + 0.880445i 0.0391955 + 0.0373728i
\(556\) 18.4057 + 53.1797i 0.780575 + 2.25532i
\(557\) 20.8200 10.7335i 0.882172 0.454791i 0.0432636 0.999064i \(-0.486224\pi\)
0.838909 + 0.544272i \(0.183194\pi\)
\(558\) 0.500927 1.44733i 0.0212059 0.0612706i
\(559\) 1.08442 + 7.54229i 0.0458660 + 0.319005i
\(560\) 2.29801 1.80383i 0.0971086 0.0762258i
\(561\) 14.2101 9.13227i 0.599950 0.385565i
\(562\) 42.7264 17.1051i 1.80231 0.721535i
\(563\) 6.82539 + 9.58492i 0.287656 + 0.403956i 0.932966 0.359965i \(-0.117211\pi\)
−0.645310 + 0.763921i \(0.723272\pi\)
\(564\) −10.6015 14.8878i −0.446405 0.626888i
\(565\) −0.405754 + 0.162439i −0.0170702 + 0.00683387i
\(566\) −63.6231 + 40.8881i −2.67428 + 1.71866i
\(567\) 2.08117 1.63362i 0.0874010 0.0686058i
\(568\) −6.35987 44.2339i −0.266854 1.85601i
\(569\) −0.834731 + 2.41180i −0.0349937 + 0.101108i −0.961145 0.276046i \(-0.910976\pi\)
0.926151 + 0.377154i \(0.123097\pi\)
\(570\) −0.848862 + 0.437619i −0.0355549 + 0.0183298i
\(571\) −4.13198 11.9386i −0.172918 0.499614i 0.824926 0.565240i \(-0.191217\pi\)
−0.997844 + 0.0656268i \(0.979095\pi\)
\(572\) 53.2385 + 50.7628i 2.22601 + 2.12250i
\(573\) 10.6390 + 23.2962i 0.444451 + 0.973212i
\(574\) −20.2058 44.3501i −0.843375 1.85114i
\(575\) −23.7708 2.55500i −0.991311 0.106551i
\(576\) −2.93497 5.08353i −0.122291 0.211814i
\(577\) 11.5013 + 1.09824i 0.478804 + 0.0457203i 0.331668 0.943396i \(-0.392388\pi\)
0.147136 + 0.989116i \(0.452995\pi\)
\(578\) −0.00536178 + 0.0221016i −0.000223021 + 0.000919304i
\(579\) −1.45490 0.280409i −0.0604635 0.0116534i
\(580\) 4.11694 + 2.64580i 0.170947 + 0.109861i
\(581\) −6.50364 9.15049i −0.269816 0.379626i
\(582\) 3.53919 + 24.6156i 0.146704 + 1.02035i
\(583\) 6.13598 + 25.2929i 0.254126 + 1.04752i
\(584\) −2.67507 56.1567i −0.110695 2.32378i
\(585\) −0.362707 0.285236i −0.0149961 0.0117931i
\(586\) −40.5756 + 3.87450i −1.67616 + 0.160054i
\(587\) 9.18635 20.1153i 0.379161 0.830247i −0.619804 0.784757i \(-0.712788\pi\)
0.998965 0.0454902i \(-0.0144850\pi\)
\(588\) 32.6465 6.23121i 1.34632 0.256971i
\(589\) −1.49411 + 0.960206i −0.0615637 + 0.0395646i
\(590\) −0.883814 3.64313i −0.0363860 0.149985i
\(591\) −1.14836 0.459732i −0.0472371 0.0189109i
\(592\) 92.8711 17.8994i 3.81698 0.735663i
\(593\) −0.122426 + 2.57003i −0.00502743 + 0.105539i 0.994959 + 0.100285i \(0.0319754\pi\)
−0.999986 + 0.00525387i \(0.998328\pi\)
\(594\) −6.97097 + 8.04492i −0.286022 + 0.330087i
\(595\) −1.30719 + 0.250722i −0.0535897 + 0.0102786i
\(596\) −22.6969 49.6994i −0.929703 2.03577i
\(597\) 3.20192 + 5.54589i 0.131046 + 0.226978i
\(598\) −33.7004 32.9060i −1.37811 1.34563i
\(599\) −1.34510 + 2.32978i −0.0549593 + 0.0951923i −0.892196 0.451648i \(-0.850836\pi\)
0.837237 + 0.546840i \(0.184170\pi\)
\(600\) −20.6417 + 28.9872i −0.842693 + 1.18340i
\(601\) 13.4511 3.94960i 0.548681 0.161107i 0.00436975 0.999990i \(-0.498609\pi\)
0.544312 + 0.838883i \(0.316791\pi\)
\(602\) −13.2870 3.91441i −0.541539 0.159539i
\(603\) 0.929118 + 0.597108i 0.0378366 + 0.0243161i
\(604\) 14.0548 40.6087i 0.571882 1.65234i
\(605\) 0.656306 + 0.262745i 0.0266826 + 0.0106821i
\(606\) −9.85180 + 9.39367i −0.400202 + 0.381592i
\(607\) 7.03594 + 3.62728i 0.285580 + 0.147227i 0.595065 0.803678i \(-0.297126\pi\)
−0.309485 + 0.950904i \(0.600157\pi\)
\(608\) −3.95493 + 27.5072i −0.160394 + 1.11556i
\(609\) 11.1547 + 19.3607i 0.452011 + 0.784535i
\(610\) −1.41666 + 3.10204i −0.0573587 + 0.125598i
\(611\) −13.5111 + 5.40902i −0.546600 + 0.218826i
\(612\) 0.931243 + 19.5492i 0.0376433 + 0.790230i
\(613\) 31.9532 30.4673i 1.29058 1.23056i 0.332817 0.942991i \(-0.392001\pi\)
0.957759 0.287571i \(-0.0928477\pi\)
\(614\) −69.1674 + 54.3938i −2.79137 + 2.19516i
\(615\) −0.566744 0.654058i −0.0228533 0.0263742i
\(616\) −71.8757 + 28.6997i −2.89596 + 1.15635i
\(617\) −0.624902 + 0.721175i −0.0251576 + 0.0290334i −0.768189 0.640223i \(-0.778842\pi\)
0.743031 + 0.669257i \(0.233387\pi\)
\(618\) 17.4697 + 16.6573i 0.702733 + 0.670055i
\(619\) −8.89625 0.849489i −0.357570 0.0341438i −0.0852748 0.996357i \(-0.527177\pi\)
−0.272296 + 0.962214i \(0.587783\pi\)
\(620\) 0.170825 0.295878i 0.00686050 0.0118827i
\(621\) 3.18342 3.58690i 0.127746 0.143937i
\(622\) 87.9174 3.52517
\(623\) 27.0064 31.1104i 1.08199 1.24641i
\(624\) −32.8203 + 9.63692i −1.31387 + 0.385786i
\(625\) 24.3290 + 4.68904i 0.973162 + 0.187562i
\(626\) −16.7514 + 8.63593i −0.669519 + 0.345161i
\(627\) 12.1211 2.33615i 0.484071 0.0932970i
\(628\) 16.0467 12.6193i 0.640333 0.503563i
\(629\) −41.3461 12.1403i −1.64858 0.484066i
\(630\) 0.745902 0.383690i 0.0297174 0.0152866i
\(631\) 4.63602 32.2442i 0.184557 1.28362i −0.661263 0.750154i \(-0.729979\pi\)
0.845820 0.533469i \(-0.179112\pi\)
\(632\) −40.6394 + 3.88059i −1.61655 + 0.154362i
\(633\) −11.2955 15.8624i −0.448957 0.630472i
\(634\) −4.32971 3.40492i −0.171955 0.135227i
\(635\) 1.67081 + 0.861363i 0.0663042 + 0.0341822i
\(636\) −28.9340 8.49580i −1.14731 0.336880i
\(637\) 1.30682 26.4331i 0.0517782 1.04732i
\(638\) −58.8720 67.9420i −2.33077 2.68985i
\(639\) 0.297879 6.25325i 0.0117839 0.247375i
\(640\) 0.127833 + 0.369349i 0.00505304 + 0.0145998i
\(641\) 11.2627 46.4254i 0.444849 1.83369i −0.0997722 0.995010i \(-0.531811\pi\)
0.544621 0.838682i \(-0.316673\pi\)
\(642\) 5.93864 8.33966i 0.234380 0.329140i
\(643\) −46.7550 −1.84384 −0.921918 0.387386i \(-0.873378\pi\)
−0.921918 + 0.387386i \(0.873378\pi\)
\(644\) 56.2110 21.6746i 2.21502 0.854100i
\(645\) −0.245974 −0.00968520
\(646\) 18.7101 26.2746i 0.736138 1.03376i
\(647\) −2.35119 + 9.69173i −0.0924347 + 0.381021i −0.999172 0.0406739i \(-0.987050\pi\)
0.906738 + 0.421695i \(0.138565\pi\)
\(648\) −2.33474 6.74578i −0.0917171 0.264999i
\(649\) −2.30559 + 48.4002i −0.0905022 + 1.89988i
\(650\) 32.0620 + 37.0015i 1.25758 + 1.45132i
\(651\) 1.31304 0.842169i 0.0514619 0.0330072i
\(652\) 54.8891 + 16.1169i 2.14962 + 0.631186i
\(653\) −8.90394 4.59030i −0.348438 0.179632i 0.275119 0.961410i \(-0.411283\pi\)
−0.623557 + 0.781778i \(0.714313\pi\)
\(654\) 35.4351 + 27.8665i 1.38562 + 1.08966i
\(655\) 0.691148 + 0.970582i 0.0270054 + 0.0379238i
\(656\) −63.8652 + 6.09839i −2.49352 + 0.238102i
\(657\) 1.12084 7.79562i 0.0437281 0.304136i
\(658\) 1.28260 26.4249i 0.0500008 1.03015i
\(659\) 1.02773 + 0.301768i 0.0400345 + 0.0117552i 0.301689 0.953407i \(-0.402450\pi\)
−0.261654 + 0.965162i \(0.584268\pi\)
\(660\) −1.86656 + 1.46788i −0.0726556 + 0.0571370i
\(661\) −29.8445 + 5.75205i −1.16082 + 0.223729i −0.733059 0.680165i \(-0.761908\pi\)
−0.427757 + 0.903894i \(0.640696\pi\)
\(662\) −42.9329 + 22.1335i −1.66864 + 0.860241i
\(663\) 15.3029 + 2.94939i 0.594315 + 0.114545i
\(664\) −29.0621 + 8.53341i −1.12783 + 0.331161i
\(665\) −0.954954 0.184943i −0.0370315 0.00717179i
\(666\) 27.1561 1.05228
\(667\) 26.1581 + 30.9224i 1.01284 + 1.19732i
\(668\) 13.7091 23.7448i 0.530420 0.918714i
\(669\) 16.0313 + 1.53080i 0.619805 + 0.0591842i
\(670\) 0.253415 + 0.241631i 0.00979029 + 0.00933503i
\(671\) 28.8654 33.3125i 1.11434 1.28601i
\(672\) 3.49535 24.1565i 0.134836 0.931855i
\(673\) −25.6904 29.6483i −0.990292 1.14286i −0.989743 0.142858i \(-0.954371\pi\)
−0.000548484 1.00000i \(-0.500175\pi\)
\(674\) −10.6960 + 8.41143i −0.411995 + 0.323996i
\(675\) −3.60789 + 3.44012i −0.138868 + 0.132410i
\(676\) 0.292396 + 6.13814i 0.0112460 + 0.236082i
\(677\) 15.2287 6.09666i 0.585287 0.234314i −0.0600705 0.998194i \(-0.519133\pi\)
0.645358 + 0.763880i \(0.276708\pi\)
\(678\) −3.86446 + 8.46198i −0.148414 + 0.324980i
\(679\) −12.6842 + 21.9240i −0.486773 + 0.841368i
\(680\) −0.511076 + 3.55461i −0.0195989 + 0.136313i
\(681\) 8.92842 + 4.60292i 0.342138 + 0.176384i
\(682\) −4.54227 + 4.33105i −0.173933 + 0.165844i
\(683\) −5.28713 2.11665i −0.202306 0.0809912i 0.268297 0.963336i \(-0.413539\pi\)
−0.470603 + 0.882345i \(0.655964\pi\)
\(684\) −4.67791 + 13.5159i −0.178864 + 0.516795i
\(685\) −0.380895 0.244786i −0.0145532 0.00935280i
\(686\) 42.7021 + 22.1605i 1.63037 + 0.846092i
\(687\) 14.4450 4.24144i 0.551112 0.161821i
\(688\) −10.5769 + 14.8531i −0.403239 + 0.566270i
\(689\) −12.0063 + 20.7955i −0.457404 + 0.792247i
\(690\) 1.20623 0.925627i 0.0459206 0.0352380i
\(691\) −17.2631 29.9006i −0.656719 1.13747i −0.981460 0.191668i \(-0.938610\pi\)
0.324741 0.945803i \(-0.394723\pi\)
\(692\) −17.8098 38.9979i −0.677025 1.48248i
\(693\) −10.6478 + 2.04227i −0.404478 + 0.0775795i
\(694\) −57.9745 + 66.9061i −2.20068 + 2.53972i
\(695\) −0.0688288 + 1.44490i −0.00261083 + 0.0548080i
\(696\) 59.1965 11.4092i 2.24384 0.432464i
\(697\) 27.1361 + 10.8637i 1.02785 + 0.411491i
\(698\) 20.0392 + 82.6026i 0.758494 + 3.12656i
\(699\) −11.7917 + 7.57809i −0.446004 + 0.286630i
\(700\) −60.1019 + 17.5888i −2.27164 + 0.664795i
\(701\) −17.1140 + 37.4744i −0.646387 + 1.41539i 0.248295 + 0.968685i \(0.420130\pi\)
−0.894681 + 0.446705i \(0.852597\pi\)
\(702\) −9.77680 + 0.933571i −0.369001 + 0.0352354i
\(703\) −24.7536 19.4664i −0.933598 0.734190i
\(704\) 1.14455 + 24.0270i 0.0431367 + 0.905551i
\(705\) −0.110759 0.456556i −0.00417144 0.0171949i
\(706\) 9.20755 + 64.0399i 0.346531 + 2.41018i
\(707\) −13.8027 + 1.30548i −0.519105 + 0.0490975i
\(708\) −47.2300 30.3529i −1.77501 1.14073i
\(709\) −7.20736 1.38910i −0.270678 0.0521689i 0.0521060 0.998642i \(-0.483407\pi\)
−0.322784 + 0.946473i \(0.604619\pi\)
\(710\) 0.467925 1.92881i 0.0175609 0.0723871i
\(711\) −5.69308 0.543624i −0.213507 0.0203875i
\(712\) −55.5761 96.2606i −2.08280 3.60752i
\(713\) 2.06944 1.92681i 0.0775010 0.0721597i
\(714\) −16.4538 + 23.0622i −0.615769 + 0.863083i
\(715\) 0.785495 + 1.71999i 0.0293758 + 0.0643241i
\(716\) −35.0917 33.4598i −1.31144 1.25045i
\(717\) −4.89063 14.1306i −0.182644 0.527715i
\(718\) −20.5957 + 10.6178i −0.768625 + 0.396254i
\(719\) −11.1174 + 32.1218i −0.414611 + 1.19794i 0.523627 + 0.851948i \(0.324579\pi\)
−0.938238 + 0.345992i \(0.887543\pi\)
\(720\) −0.157143 1.09295i −0.00585636 0.0407319i
\(721\) 3.47691 + 24.3378i 0.129487 + 0.906386i
\(722\) −21.6909 + 13.9399i −0.807250 + 0.518788i
\(723\) −11.9969 + 4.80284i −0.446170 + 0.178620i
\(724\) −38.4896 54.0510i −1.43045 2.00879i
\(725\) −24.4209 34.2943i −0.906968 1.27366i
\(726\) 13.9692 5.59240i 0.518444 0.207554i
\(727\) 3.70498 2.38105i 0.137410 0.0883082i −0.470130 0.882597i \(-0.655793\pi\)
0.607540 + 0.794289i \(0.292156\pi\)
\(728\) −66.2664 26.5982i −2.45600 0.985796i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 0.816661 2.35959i 0.0302260 0.0873322i
\(731\) 7.38413 3.80678i 0.273112 0.140799i
\(732\) 16.7039 + 48.2628i 0.617395 + 1.78385i
\(733\) 0.791355 + 0.754555i 0.0292294 + 0.0278701i 0.704553 0.709651i \(-0.251148\pi\)
−0.675324 + 0.737522i \(0.735996\pi\)
\(734\) −4.55664 9.97764i −0.168188 0.368281i
\(735\) 0.838590 + 0.163190i 0.0309319 + 0.00601935i
\(736\) −1.58030 44.2151i −0.0582507 1.62979i
\(737\) −2.26293 3.91951i −0.0833561 0.144377i
\(738\) −18.3371 1.75098i −0.674998 0.0644545i
\(739\) −10.7469 + 44.2995i −0.395333 + 1.62958i 0.331987 + 0.943284i \(0.392281\pi\)
−0.727320 + 0.686299i \(0.759234\pi\)
\(740\) 5.94829 + 1.14644i 0.218663 + 0.0421439i
\(741\) 9.58105 + 6.15737i 0.351969 + 0.226197i
\(742\) −25.2881 35.5798i −0.928355 1.30618i
\(743\) 0.549641 + 3.82284i 0.0201644 + 0.140246i 0.997417 0.0718341i \(-0.0228852\pi\)
−0.977252 + 0.212080i \(0.931976\pi\)
\(744\) −0.992243 4.09008i −0.0363774 0.149950i
\(745\) −0.0668254 1.40284i −0.00244829 0.0513960i
\(746\) −57.5670 45.2712i −2.10768 1.65750i
\(747\) −4.22391 + 0.403335i −0.154545 + 0.0147572i
\(748\) 33.3166 72.9532i 1.21818 2.66743i
\(749\) 10.0077 2.92876i 0.365674 0.107015i
\(750\) −2.66311 + 1.71148i −0.0972431 + 0.0624944i
\(751\) −6.43152 26.5111i −0.234690 0.967404i −0.960227 0.279221i \(-0.909924\pi\)
0.725537 0.688183i \(-0.241591\pi\)
\(752\) −32.3318 12.9437i −1.17902 0.472008i
\(753\) −16.4430 + 3.16913i −0.599217 + 0.115490i
\(754\) 3.94662 82.8498i 0.143728 3.01721i
\(755\) 0.723353 0.834794i 0.0263255 0.0303812i
\(756\) 4.11929 11.8674i 0.149817 0.431612i
\(757\) 6.35537 + 13.9163i 0.230990 + 0.505797i 0.989264 0.146138i \(-0.0466845\pi\)
−0.758274 + 0.651936i \(0.773957\pi\)
\(758\) −20.9901 36.3559i −0.762394 1.32050i
\(759\) −18.3303 + 7.08700i −0.665349 + 0.257242i
\(760\) −1.31220 + 2.27279i −0.0475983 + 0.0824427i
\(761\) −18.0147 + 25.2981i −0.653031 + 0.917054i −0.999782 0.0209033i \(-0.993346\pi\)
0.346750 + 0.937958i \(0.387285\pi\)
\(762\) 38.3894 11.2722i 1.39070 0.408347i
\(763\) 10.7845 + 44.6293i 0.390424 + 1.61569i
\(764\) 102.295 + 65.7410i 3.70090 + 2.37843i
\(765\) −0.164541 + 0.475410i −0.00594899 + 0.0171885i
\(766\) −89.5364 35.8450i −3.23508 1.29513i
\(767\) −32.3551 + 30.8505i −1.16827 + 1.11395i
\(768\) 17.8290 + 9.19149i 0.643349 + 0.331669i
\(769\) 1.54121 10.7193i 0.0555774 0.386549i −0.942980 0.332850i \(-0.891990\pi\)
0.998557 0.0536991i \(-0.0171012\pi\)
\(770\) −3.43729 0.00309135i −0.123871 0.000111405i
\(771\) −9.73465 + 21.3159i −0.350585 + 0.767674i
\(772\) −6.53103 + 2.61463i −0.235057 + 0.0941026i