Properties

Label 260.2.p.d.103.12
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 103.12
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.601658 + 1.27985i) q^{2} +(-1.55255 + 1.55255i) q^{3} +(-1.27602 - 1.54006i) q^{4} +(-1.95736 - 1.08109i) q^{5} +(-1.05293 - 2.92114i) q^{6} +(3.02953 - 3.02953i) q^{7} +(2.73876 - 0.706517i) q^{8} -1.82084i q^{9} +O(q^{10})\) \(q+(-0.601658 + 1.27985i) q^{2} +(-1.55255 + 1.55255i) q^{3} +(-1.27602 - 1.54006i) q^{4} +(-1.95736 - 1.08109i) q^{5} +(-1.05293 - 2.92114i) q^{6} +(3.02953 - 3.02953i) q^{7} +(2.73876 - 0.706517i) q^{8} -1.82084i q^{9} +(2.56129 - 1.85467i) q^{10} -4.00418 q^{11} +(4.37211 + 0.409941i) q^{12} +(3.48257 - 0.933659i) q^{13} +(2.05459 + 5.70007i) q^{14} +(4.71735 - 1.36045i) q^{15} +(-0.743565 + 3.93028i) q^{16} +(-0.753955 + 0.753955i) q^{17} +(2.33040 + 1.09552i) q^{18} -4.01929i q^{19} +(0.832676 + 4.39393i) q^{20} +9.40700i q^{21} +(2.40915 - 5.12474i) q^{22} +(3.75800 - 3.75800i) q^{23} +(-3.15517 + 5.34898i) q^{24} +(2.66249 + 4.23216i) q^{25} +(-0.900372 + 5.01890i) q^{26} +(-1.83070 - 1.83070i) q^{27} +(-8.53137 - 0.799924i) q^{28} -6.60247i q^{29} +(-1.09706 + 6.85601i) q^{30} +2.35636 q^{31} +(-4.58279 - 3.31633i) q^{32} +(6.21670 - 6.21670i) q^{33} +(-0.511324 - 1.41857i) q^{34} +(-9.20505 + 2.65467i) q^{35} +(-2.80421 + 2.32343i) q^{36} +(0.454487 + 0.454487i) q^{37} +(5.14408 + 2.41824i) q^{38} +(-3.95732 + 6.85643i) q^{39} +(-6.12455 - 1.57795i) q^{40} -5.01258i q^{41} +(-12.0395 - 5.65979i) q^{42} +(4.32686 - 4.32686i) q^{43} +(5.10940 + 6.16667i) q^{44} +(-1.96850 + 3.56404i) q^{45} +(2.54863 + 7.07069i) q^{46} +(3.87211 - 3.87211i) q^{47} +(-4.94755 - 7.25639i) q^{48} -11.3561i q^{49} +(-7.01842 + 0.861267i) q^{50} -2.34111i q^{51} +(-5.88170 - 4.17200i) q^{52} +(1.34709 + 1.34709i) q^{53} +(3.44448 - 1.24156i) q^{54} +(7.83761 + 4.32888i) q^{55} +(6.15675 - 10.4376i) q^{56} +(6.24016 + 6.24016i) q^{57} +(8.45015 + 3.97243i) q^{58} +0.838004i q^{59} +(-8.11459 - 5.52904i) q^{60} -13.3586 q^{61} +(-1.41772 + 3.01578i) q^{62} +(-5.51629 - 5.51629i) q^{63} +(7.00167 - 3.86997i) q^{64} +(-7.82600 - 1.93747i) q^{65} +(4.21610 + 11.6968i) q^{66} +(-3.69649 + 3.69649i) q^{67} +(2.12319 + 0.199076i) q^{68} +11.6690i q^{69} +(2.14072 - 13.3783i) q^{70} -14.6839 q^{71} +(-1.28646 - 4.98686i) q^{72} +(-5.33956 + 5.33956i) q^{73} +(-0.855119 + 0.308228i) q^{74} +(-10.7043 - 2.43700i) q^{75} +(-6.18994 + 5.12868i) q^{76} +(-12.1308 + 12.1308i) q^{77} +(-6.39423 - 9.18998i) q^{78} +3.43974 q^{79} +(5.70441 - 6.88910i) q^{80} +11.1471 q^{81} +(6.41534 + 3.01586i) q^{82} +(4.47418 + 4.47418i) q^{83} +(14.4873 - 12.0035i) q^{84} +(2.29085 - 0.660665i) q^{85} +(2.93443 + 8.14100i) q^{86} +(10.2507 + 10.2507i) q^{87} +(-10.9665 + 2.82902i) q^{88} -6.30698 q^{89} +(-3.37706 - 4.66371i) q^{90} +(7.72198 - 13.3791i) q^{91} +(-10.5828 - 0.992272i) q^{92} +(-3.65837 + 3.65837i) q^{93} +(2.62602 + 7.28539i) q^{94} +(-4.34522 + 7.86718i) q^{95} +(12.2638 - 1.96624i) q^{96} +(-9.64616 - 9.64616i) q^{97} +(14.5340 + 6.83245i) q^{98} +7.29099i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.601658 + 1.27985i −0.425436 + 0.904988i
\(3\) −1.55255 + 1.55255i −0.896367 + 0.896367i −0.995113 0.0987456i \(-0.968517\pi\)
0.0987456 + 0.995113i \(0.468517\pi\)
\(4\) −1.27602 1.54006i −0.638008 0.770030i
\(5\) −1.95736 1.08109i −0.875356 0.483478i
\(6\) −1.05293 2.92114i −0.429855 1.19255i
\(7\) 3.02953 3.02953i 1.14505 1.14505i 0.157541 0.987513i \(-0.449643\pi\)
0.987513 0.157541i \(-0.0503565\pi\)
\(8\) 2.73876 0.706517i 0.968300 0.249792i
\(9\) 1.82084i 0.606948i
\(10\) 2.56129 1.85467i 0.809950 0.586498i
\(11\) −4.00418 −1.20731 −0.603653 0.797247i \(-0.706289\pi\)
−0.603653 + 0.797247i \(0.706289\pi\)
\(12\) 4.37211 + 0.409941i 1.26212 + 0.118340i
\(13\) 3.48257 0.933659i 0.965891 0.258951i
\(14\) 2.05459 + 5.70007i 0.549113 + 1.52341i
\(15\) 4.71735 1.36045i 1.21801 0.351267i
\(16\) −0.743565 + 3.93028i −0.185891 + 0.982570i
\(17\) −0.753955 + 0.753955i −0.182861 + 0.182861i −0.792601 0.609740i \(-0.791274\pi\)
0.609740 + 0.792601i \(0.291274\pi\)
\(18\) 2.33040 + 1.09552i 0.549281 + 0.258218i
\(19\) 4.01929i 0.922088i −0.887377 0.461044i \(-0.847475\pi\)
0.887377 0.461044i \(-0.152525\pi\)
\(20\) 0.832676 + 4.39393i 0.186192 + 0.982513i
\(21\) 9.40700i 2.05278i
\(22\) 2.40915 5.12474i 0.513632 1.09260i
\(23\) 3.75800 3.75800i 0.783597 0.783597i −0.196839 0.980436i \(-0.563068\pi\)
0.980436 + 0.196839i \(0.0630676\pi\)
\(24\) −3.15517 + 5.34898i −0.644047 + 1.09186i
\(25\) 2.66249 + 4.23216i 0.532498 + 0.846432i
\(26\) −0.900372 + 5.01890i −0.176578 + 0.984287i
\(27\) −1.83070 1.83070i −0.352319 0.352319i
\(28\) −8.53137 0.799924i −1.61228 0.151172i
\(29\) 6.60247i 1.22605i −0.790064 0.613024i \(-0.789953\pi\)
0.790064 0.613024i \(-0.210047\pi\)
\(30\) −1.09706 + 6.85601i −0.200295 + 1.25173i
\(31\) 2.35636 0.423214 0.211607 0.977355i \(-0.432130\pi\)
0.211607 + 0.977355i \(0.432130\pi\)
\(32\) −4.58279 3.31633i −0.810130 0.586250i
\(33\) 6.21670 6.21670i 1.08219 1.08219i
\(34\) −0.511324 1.41857i −0.0876914 0.243283i
\(35\) −9.20505 + 2.65467i −1.55594 + 0.448721i
\(36\) −2.80421 + 2.32343i −0.467368 + 0.387238i
\(37\) 0.454487 + 0.454487i 0.0747172 + 0.0747172i 0.743478 0.668761i \(-0.233175\pi\)
−0.668761 + 0.743478i \(0.733175\pi\)
\(38\) 5.14408 + 2.41824i 0.834479 + 0.392290i
\(39\) −3.95732 + 6.85643i −0.633678 + 1.09791i
\(40\) −6.12455 1.57795i −0.968376 0.249495i
\(41\) 5.01258i 0.782834i −0.920213 0.391417i \(-0.871985\pi\)
0.920213 0.391417i \(-0.128015\pi\)
\(42\) −12.0395 5.65979i −1.85774 0.873325i
\(43\) 4.32686 4.32686i 0.659840 0.659840i −0.295502 0.955342i \(-0.595487\pi\)
0.955342 + 0.295502i \(0.0954870\pi\)
\(44\) 5.10940 + 6.16667i 0.770271 + 0.929661i
\(45\) −1.96850 + 3.56404i −0.293446 + 0.531296i
\(46\) 2.54863 + 7.07069i 0.375776 + 1.04252i
\(47\) 3.87211 3.87211i 0.564805 0.564805i −0.365864 0.930669i \(-0.619226\pi\)
0.930669 + 0.365864i \(0.119226\pi\)
\(48\) −4.94755 7.25639i −0.714117 1.04737i
\(49\) 11.3561i 1.62229i
\(50\) −7.01842 + 0.861267i −0.992554 + 0.121802i
\(51\) 2.34111i 0.327821i
\(52\) −5.88170 4.17200i −0.815646 0.578552i
\(53\) 1.34709 + 1.34709i 0.185037 + 0.185037i 0.793547 0.608509i \(-0.208232\pi\)
−0.608509 + 0.793547i \(0.708232\pi\)
\(54\) 3.44448 1.24156i 0.468734 0.168955i
\(55\) 7.83761 + 4.32888i 1.05682 + 0.583706i
\(56\) 6.15675 10.4376i 0.822730 1.39478i
\(57\) 6.24016 + 6.24016i 0.826530 + 0.826530i
\(58\) 8.45015 + 3.97243i 1.10956 + 0.521605i
\(59\) 0.838004i 0.109099i 0.998511 + 0.0545494i \(0.0173722\pi\)
−0.998511 + 0.0545494i \(0.982628\pi\)
\(60\) −8.11459 5.52904i −1.04759 0.713796i
\(61\) −13.3586 −1.71039 −0.855194 0.518309i \(-0.826562\pi\)
−0.855194 + 0.518309i \(0.826562\pi\)
\(62\) −1.41772 + 3.01578i −0.180051 + 0.383004i
\(63\) −5.51629 5.51629i −0.694987 0.694987i
\(64\) 7.00167 3.86997i 0.875208 0.483746i
\(65\) −7.82600 1.93747i −0.970695 0.240313i
\(66\) 4.21610 + 11.6968i 0.518966 + 1.43977i
\(67\) −3.69649 + 3.69649i −0.451599 + 0.451599i −0.895885 0.444286i \(-0.853457\pi\)
0.444286 + 0.895885i \(0.353457\pi\)
\(68\) 2.12319 + 0.199076i 0.257475 + 0.0241416i
\(69\) 11.6690i 1.40478i
\(70\) 2.14072 13.3783i 0.255865 1.59901i
\(71\) −14.6839 −1.74266 −0.871331 0.490696i \(-0.836743\pi\)
−0.871331 + 0.490696i \(0.836743\pi\)
\(72\) −1.28646 4.98686i −0.151610 0.587707i
\(73\) −5.33956 + 5.33956i −0.624948 + 0.624948i −0.946793 0.321844i \(-0.895697\pi\)
0.321844 + 0.946793i \(0.395697\pi\)
\(74\) −0.855119 + 0.308228i −0.0994056 + 0.0358308i
\(75\) −10.7043 2.43700i −1.23603 0.281400i
\(76\) −6.18994 + 5.12868i −0.710035 + 0.588300i
\(77\) −12.1308 + 12.1308i −1.38243 + 1.38243i
\(78\) −6.39423 9.18998i −0.724004 1.04056i
\(79\) 3.43974 0.387000 0.193500 0.981100i \(-0.438016\pi\)
0.193500 + 0.981100i \(0.438016\pi\)
\(80\) 5.70441 6.88910i 0.637772 0.770225i
\(81\) 11.1471 1.23856
\(82\) 6.41534 + 3.01586i 0.708455 + 0.333046i
\(83\) 4.47418 + 4.47418i 0.491105 + 0.491105i 0.908654 0.417549i \(-0.137111\pi\)
−0.417549 + 0.908654i \(0.637111\pi\)
\(84\) 14.4873 12.0035i 1.58070 1.30969i
\(85\) 2.29085 0.660665i 0.248478 0.0716592i
\(86\) 2.93443 + 8.14100i 0.316428 + 0.877867i
\(87\) 10.2507 + 10.2507i 1.09899 + 1.09899i
\(88\) −10.9665 + 2.82902i −1.16903 + 0.301575i
\(89\) −6.30698 −0.668539 −0.334269 0.942478i \(-0.608489\pi\)
−0.334269 + 0.942478i \(0.608489\pi\)
\(90\) −3.37706 4.66371i −0.355974 0.491598i
\(91\) 7.72198 13.3791i 0.809484 1.40251i
\(92\) −10.5828 0.992272i −1.10333 0.103452i
\(93\) −3.65837 + 3.65837i −0.379355 + 0.379355i
\(94\) 2.62602 + 7.28539i 0.270854 + 0.751430i
\(95\) −4.34522 + 7.86718i −0.445810 + 0.807156i
\(96\) 12.2638 1.96624i 1.25167 0.200678i
\(97\) −9.64616 9.64616i −0.979420 0.979420i 0.0203728 0.999792i \(-0.493515\pi\)
−0.999792 + 0.0203728i \(0.993515\pi\)
\(98\) 14.5340 + 6.83245i 1.46816 + 0.690182i
\(99\) 7.29099i 0.732772i
\(100\) 3.12040 9.50069i 0.312040 0.950069i
\(101\) 10.3409 1.02896 0.514479 0.857503i \(-0.327985\pi\)
0.514479 + 0.857503i \(0.327985\pi\)
\(102\) 2.99626 + 1.40855i 0.296674 + 0.139467i
\(103\) 3.33400 3.33400i 0.328509 0.328509i −0.523511 0.852019i \(-0.675378\pi\)
0.852019 + 0.523511i \(0.175378\pi\)
\(104\) 8.87829 5.01757i 0.870588 0.492013i
\(105\) 10.1698 18.4129i 0.992472 1.79691i
\(106\) −2.53456 + 0.913583i −0.246178 + 0.0887350i
\(107\) 7.78916 + 7.78916i 0.753007 + 0.753007i 0.975039 0.222033i \(-0.0712691\pi\)
−0.222033 + 0.975039i \(0.571269\pi\)
\(108\) −0.483384 + 5.15540i −0.0465137 + 0.496078i
\(109\) −3.16760 −0.303401 −0.151701 0.988426i \(-0.548475\pi\)
−0.151701 + 0.988426i \(0.548475\pi\)
\(110\) −10.2559 + 7.42644i −0.977858 + 0.708083i
\(111\) −1.41123 −0.133948
\(112\) 9.65424 + 14.1595i 0.912240 + 1.33795i
\(113\) 9.75845 + 9.75845i 0.917997 + 0.917997i 0.996884 0.0788863i \(-0.0251364\pi\)
−0.0788863 + 0.996884i \(0.525136\pi\)
\(114\) −11.7409 + 4.23201i −1.09964 + 0.396364i
\(115\) −11.4185 + 3.29301i −1.06478 + 0.307074i
\(116\) −10.1682 + 8.42486i −0.944094 + 0.782229i
\(117\) −1.70005 6.34121i −0.157169 0.586245i
\(118\) −1.07252 0.504192i −0.0987332 0.0464146i
\(119\) 4.56825i 0.418771i
\(120\) 11.9585 7.05884i 1.09166 0.644381i
\(121\) 5.03346 0.457587
\(122\) 8.03727 17.0969i 0.727661 1.54788i
\(123\) 7.78230 + 7.78230i 0.701706 + 0.701706i
\(124\) −3.00675 3.62893i −0.270014 0.325887i
\(125\) −0.636093 11.1622i −0.0568939 0.998380i
\(126\) 10.3789 3.74109i 0.924628 0.333283i
\(127\) −1.79629 1.79629i −0.159395 0.159395i 0.622904 0.782299i \(-0.285953\pi\)
−0.782299 + 0.622904i \(0.785953\pi\)
\(128\) 0.740364 + 11.2895i 0.0654395 + 0.997857i
\(129\) 13.4354i 1.18292i
\(130\) 7.18823 8.85039i 0.630450 0.776230i
\(131\) 1.17643i 0.102785i −0.998679 0.0513926i \(-0.983634\pi\)
0.998679 0.0513926i \(-0.0163660\pi\)
\(132\) −17.5067 1.64148i −1.52376 0.142872i
\(133\) −12.1765 12.1765i −1.05584 1.05584i
\(134\) −2.50692 6.95497i −0.216565 0.600818i
\(135\) 1.60418 + 5.56249i 0.138066 + 0.478743i
\(136\) −1.53222 + 2.59759i −0.131387 + 0.222741i
\(137\) −0.262389 0.262389i −0.0224174 0.0224174i 0.695809 0.718227i \(-0.255046\pi\)
−0.718227 + 0.695809i \(0.755046\pi\)
\(138\) −14.9345 7.02073i −1.27131 0.597645i
\(139\) 6.48837 0.550336 0.275168 0.961396i \(-0.411266\pi\)
0.275168 + 0.961396i \(0.411266\pi\)
\(140\) 15.8341 + 10.7889i 1.33823 + 0.911830i
\(141\) 12.0233i 1.01255i
\(142\) 8.83470 18.7932i 0.741391 1.57709i
\(143\) −13.9448 + 3.73854i −1.16613 + 0.312632i
\(144\) 7.15643 + 1.35391i 0.596369 + 0.112826i
\(145\) −7.13787 + 12.9234i −0.592768 + 1.07323i
\(146\) −3.62123 10.0464i −0.299695 0.831447i
\(147\) 17.6309 + 17.6309i 1.45417 + 1.45417i
\(148\) 0.120004 1.27987i 0.00986427 0.105205i
\(149\) 23.2293 1.90302 0.951510 0.307617i \(-0.0995317\pi\)
0.951510 + 0.307617i \(0.0995317\pi\)
\(150\) 9.55931 12.2336i 0.780514 0.998872i
\(151\) −6.61940 −0.538679 −0.269340 0.963045i \(-0.586805\pi\)
−0.269340 + 0.963045i \(0.586805\pi\)
\(152\) −2.83970 11.0079i −0.230330 0.892858i
\(153\) 1.37283 + 1.37283i 0.110987 + 0.110987i
\(154\) −8.22696 22.8241i −0.662947 1.83922i
\(155\) −4.61223 2.54743i −0.370463 0.204615i
\(156\) 15.6089 2.65441i 1.24971 0.212523i
\(157\) 5.35400 5.35400i 0.427296 0.427296i −0.460410 0.887706i \(-0.652298\pi\)
0.887706 + 0.460410i \(0.152298\pi\)
\(158\) −2.06954 + 4.40233i −0.164644 + 0.350231i
\(159\) −4.18286 −0.331723
\(160\) 5.38489 + 11.4457i 0.425713 + 0.904858i
\(161\) 22.7699i 1.79452i
\(162\) −6.70671 + 14.2665i −0.526929 + 1.12088i
\(163\) 7.39919 + 7.39919i 0.579549 + 0.579549i 0.934779 0.355230i \(-0.115597\pi\)
−0.355230 + 0.934779i \(0.615597\pi\)
\(164\) −7.71967 + 6.39614i −0.602805 + 0.499454i
\(165\) −18.8891 + 5.44749i −1.47052 + 0.424086i
\(166\) −8.41820 + 3.03434i −0.653379 + 0.235511i
\(167\) 4.82745 4.82745i 0.373559 0.373559i −0.495213 0.868772i \(-0.664910\pi\)
0.868772 + 0.495213i \(0.164910\pi\)
\(168\) 6.64621 + 25.7636i 0.512766 + 1.98770i
\(169\) 11.2566 6.50306i 0.865889 0.500236i
\(170\) −0.532758 + 3.32943i −0.0408607 + 0.255356i
\(171\) −7.31850 −0.559660
\(172\) −12.1848 1.14248i −0.929079 0.0871130i
\(173\) −10.9705 10.9705i −0.834069 0.834069i 0.154002 0.988071i \(-0.450784\pi\)
−0.988071 + 0.154002i \(0.950784\pi\)
\(174\) −19.2867 + 6.95191i −1.46212 + 0.527023i
\(175\) 20.8875 + 4.75536i 1.57895 + 0.359471i
\(176\) 2.97737 15.7376i 0.224427 1.18626i
\(177\) −1.30105 1.30105i −0.0977926 0.0977926i
\(178\) 3.79464 8.07197i 0.284420 0.605020i
\(179\) −6.92372 −0.517503 −0.258752 0.965944i \(-0.583311\pi\)
−0.258752 + 0.965944i \(0.583311\pi\)
\(180\) 8.00067 1.51617i 0.596334 0.113009i
\(181\) 10.6066 0.788380 0.394190 0.919029i \(-0.371025\pi\)
0.394190 + 0.919029i \(0.371025\pi\)
\(182\) 12.4772 + 17.9326i 0.924870 + 1.32925i
\(183\) 20.7399 20.7399i 1.53313 1.53313i
\(184\) 7.63718 12.9474i 0.563021 0.954492i
\(185\) −0.398251 1.38093i −0.0292800 0.101528i
\(186\) −2.48107 6.88324i −0.181921 0.504704i
\(187\) 3.01897 3.01897i 0.220769 0.220769i
\(188\) −10.9041 1.02240i −0.795267 0.0745663i
\(189\) −11.0923 −0.806848
\(190\) −7.45446 10.2946i −0.540803 0.746846i
\(191\) 20.7585i 1.50203i 0.660283 + 0.751017i \(0.270436\pi\)
−0.660283 + 0.751017i \(0.729564\pi\)
\(192\) −4.86213 + 16.8788i −0.350894 + 1.21812i
\(193\) −3.53956 + 3.53956i −0.254783 + 0.254783i −0.822928 0.568145i \(-0.807661\pi\)
0.568145 + 0.822928i \(0.307661\pi\)
\(194\) 18.1493 6.54193i 1.30304 0.469683i
\(195\) 15.1583 9.14226i 1.08551 0.654691i
\(196\) −17.4890 + 14.4905i −1.24921 + 1.03504i
\(197\) 17.5499 + 17.5499i 1.25038 + 1.25038i 0.955549 + 0.294832i \(0.0952636\pi\)
0.294832 + 0.955549i \(0.404736\pi\)
\(198\) −9.33135 4.38668i −0.663150 0.311748i
\(199\) −19.1741 −1.35922 −0.679608 0.733575i \(-0.737850\pi\)
−0.679608 + 0.733575i \(0.737850\pi\)
\(200\) 10.2820 + 9.70979i 0.727049 + 0.686586i
\(201\) 11.4780i 0.809596i
\(202\) −6.22169 + 13.2348i −0.437756 + 0.931196i
\(203\) −20.0024 20.0024i −1.40389 1.40389i
\(204\) −3.60545 + 2.98729i −0.252432 + 0.209152i
\(205\) −5.41905 + 9.81141i −0.378483 + 0.685258i
\(206\) 2.26108 + 6.27293i 0.157537 + 0.437056i
\(207\) −6.84273 6.84273i −0.475602 0.475602i
\(208\) 1.08003 + 14.3817i 0.0748866 + 0.997192i
\(209\) 16.0940i 1.11324i
\(210\) 17.4469 + 24.0940i 1.20395 + 1.66265i
\(211\) 20.6999i 1.42504i 0.701653 + 0.712519i \(0.252446\pi\)
−0.701653 + 0.712519i \(0.747554\pi\)
\(212\) 0.355690 3.79351i 0.0244289 0.260539i
\(213\) 22.7976 22.7976i 1.56206 1.56206i
\(214\) −14.6553 + 5.28253i −1.00182 + 0.361106i
\(215\) −13.1469 + 3.79148i −0.896613 + 0.258577i
\(216\) −6.30729 3.72044i −0.429157 0.253144i
\(217\) 7.13864 7.13864i 0.484603 0.484603i
\(218\) 1.90581 4.05405i 0.129078 0.274575i
\(219\) 16.5799i 1.12037i
\(220\) −3.33418 17.5941i −0.224791 1.18619i
\(221\) −1.92176 + 3.32964i −0.129272 + 0.223976i
\(222\) 0.849077 1.80616i 0.0569863 0.121221i
\(223\) −5.91543 5.91543i −0.396126 0.396126i 0.480738 0.876864i \(-0.340369\pi\)
−0.876864 + 0.480738i \(0.840369\pi\)
\(224\) −23.9306 + 3.83676i −1.59893 + 0.256354i
\(225\) 7.70610 4.84797i 0.513740 0.323198i
\(226\) −18.3606 + 6.61807i −1.22133 + 0.440228i
\(227\) −0.579078 + 0.579078i −0.0384347 + 0.0384347i −0.726063 0.687628i \(-0.758652\pi\)
0.687628 + 0.726063i \(0.258652\pi\)
\(228\) 1.64767 17.5728i 0.109120 1.16378i
\(229\) −5.64962 −0.373337 −0.186669 0.982423i \(-0.559769\pi\)
−0.186669 + 0.982423i \(0.559769\pi\)
\(230\) 2.65547 16.5952i 0.175096 1.09425i
\(231\) 37.6673i 2.47833i
\(232\) −4.66476 18.0826i −0.306257 1.18718i
\(233\) −5.44699 5.44699i −0.356844 0.356844i 0.505804 0.862648i \(-0.331196\pi\)
−0.862648 + 0.505804i \(0.831196\pi\)
\(234\) 9.13863 + 1.63944i 0.597411 + 0.107173i
\(235\) −11.7652 + 3.39300i −0.767477 + 0.221335i
\(236\) 1.29058 1.06931i 0.0840093 0.0696060i
\(237\) −5.34037 + 5.34037i −0.346894 + 0.346894i
\(238\) −5.84666 2.74852i −0.378983 0.178160i
\(239\) 1.73850i 0.112454i 0.998418 + 0.0562272i \(0.0179071\pi\)
−0.998418 + 0.0562272i \(0.982093\pi\)
\(240\) 1.83930 + 19.5521i 0.118726 + 1.26208i
\(241\) 1.91871i 0.123595i 0.998089 + 0.0617976i \(0.0196833\pi\)
−0.998089 + 0.0617976i \(0.980317\pi\)
\(242\) −3.02842 + 6.44206i −0.194674 + 0.414111i
\(243\) −11.8143 + 11.8143i −0.757887 + 0.757887i
\(244\) 17.0457 + 20.5730i 1.09124 + 1.31705i
\(245\) −12.2769 + 22.2278i −0.784343 + 1.42008i
\(246\) −14.6424 + 5.27787i −0.933567 + 0.336505i
\(247\) −3.75265 13.9975i −0.238775 0.890636i
\(248\) 6.45351 1.66481i 0.409798 0.105715i
\(249\) −13.8928 −0.880421
\(250\) 14.6687 + 5.90174i 0.927727 + 0.373259i
\(251\) 28.0828i 1.77257i −0.463139 0.886285i \(-0.653277\pi\)
0.463139 0.886285i \(-0.346723\pi\)
\(252\) −1.45654 + 15.5343i −0.0917532 + 0.978569i
\(253\) −15.0477 + 15.0477i −0.946041 + 0.946041i
\(254\) 3.37973 1.21823i 0.212063 0.0764383i
\(255\) −2.53095 + 4.58239i −0.158494 + 0.286960i
\(256\) −14.8942 5.84484i −0.930889 0.365302i
\(257\) 13.3998 13.3998i 0.835854 0.835854i −0.152456 0.988310i \(-0.548718\pi\)
0.988310 + 0.152456i \(0.0487183\pi\)
\(258\) −17.1952 8.08348i −1.07053 0.503256i
\(259\) 2.75376 0.171110
\(260\) 7.00229 + 14.5247i 0.434263 + 0.900786i
\(261\) −12.0221 −0.744147
\(262\) 1.50565 + 0.707809i 0.0930195 + 0.0437286i
\(263\) −5.22835 + 5.22835i −0.322394 + 0.322394i −0.849685 0.527291i \(-0.823208\pi\)
0.527291 + 0.849685i \(0.323208\pi\)
\(264\) 12.6339 21.4183i 0.777562 1.31821i
\(265\) −1.18041 4.09307i −0.0725121 0.251435i
\(266\) 22.9102 8.25800i 1.40472 0.506331i
\(267\) 9.79192 9.79192i 0.599256 0.599256i
\(268\) 10.4096 + 0.976032i 0.635868 + 0.0596207i
\(269\) 5.29424i 0.322796i −0.986889 0.161398i \(-0.948400\pi\)
0.986889 0.161398i \(-0.0516002\pi\)
\(270\) −8.08431 1.29361i −0.491995 0.0787265i
\(271\) 20.2679 1.23119 0.615594 0.788063i \(-0.288916\pi\)
0.615594 + 0.788063i \(0.288916\pi\)
\(272\) −2.40264 3.52387i −0.145681 0.213666i
\(273\) 8.78293 + 32.7605i 0.531567 + 1.98276i
\(274\) 0.493686 0.177949i 0.0298246 0.0107503i
\(275\) −10.6611 16.9463i −0.642887 1.02190i
\(276\) 17.9709 14.8898i 1.08172 0.896262i
\(277\) −16.0235 + 16.0235i −0.962759 + 0.962759i −0.999331 0.0365721i \(-0.988356\pi\)
0.0365721 + 0.999331i \(0.488356\pi\)
\(278\) −3.90378 + 8.30412i −0.234133 + 0.498048i
\(279\) 4.29056i 0.256869i
\(280\) −23.3349 + 13.7740i −1.39453 + 0.823157i
\(281\) 15.1928i 0.906329i 0.891427 + 0.453164i \(0.149705\pi\)
−0.891427 + 0.453164i \(0.850295\pi\)
\(282\) −15.3880 7.23391i −0.916342 0.430773i
\(283\) 13.4327 13.4327i 0.798488 0.798488i −0.184369 0.982857i \(-0.559024\pi\)
0.982857 + 0.184369i \(0.0590241\pi\)
\(284\) 18.7369 + 22.6141i 1.11183 + 1.34190i
\(285\) −5.46804 18.9604i −0.323899 1.12312i
\(286\) 3.60525 20.0966i 0.213183 1.18834i
\(287\) −15.1857 15.1857i −0.896386 0.896386i
\(288\) −6.03852 + 8.34454i −0.355823 + 0.491707i
\(289\) 15.8631i 0.933124i
\(290\) −12.2454 16.9108i −0.719075 0.993038i
\(291\) 29.9524 1.75584
\(292\) 15.0366 + 1.40987i 0.879951 + 0.0825065i
\(293\) −8.51447 + 8.51447i −0.497421 + 0.497421i −0.910634 0.413213i \(-0.864406\pi\)
0.413213 + 0.910634i \(0.364406\pi\)
\(294\) −33.1726 + 11.9571i −1.93466 + 0.697351i
\(295\) 0.905958 1.64027i 0.0527469 0.0955004i
\(296\) 1.56584 + 0.923630i 0.0910123 + 0.0536849i
\(297\) 7.33047 + 7.33047i 0.425357 + 0.425357i
\(298\) −13.9761 + 29.7300i −0.809614 + 1.72221i
\(299\) 9.57880 16.5962i 0.553956 0.959782i
\(300\) 9.90575 + 19.5949i 0.571909 + 1.13131i
\(301\) 26.2167i 1.51110i
\(302\) 3.98261 8.47182i 0.229174 0.487499i
\(303\) −16.0548 + 16.0548i −0.922325 + 0.922325i
\(304\) 15.7969 + 2.98860i 0.906017 + 0.171408i
\(305\) 26.1474 + 14.4418i 1.49720 + 0.826935i
\(306\) −2.58299 + 0.931041i −0.147660 + 0.0532241i
\(307\) −6.65969 + 6.65969i −0.380088 + 0.380088i −0.871134 0.491045i \(-0.836615\pi\)
0.491045 + 0.871134i \(0.336615\pi\)
\(308\) 34.1612 + 3.20304i 1.94651 + 0.182510i
\(309\) 10.3524i 0.588929i
\(310\) 6.03531 4.37027i 0.342783 0.248214i
\(311\) 18.3677i 1.04154i 0.853698 + 0.520768i \(0.174354\pi\)
−0.853698 + 0.520768i \(0.825646\pi\)
\(312\) −5.99397 + 21.5741i −0.339342 + 1.22139i
\(313\) −1.25695 1.25695i −0.0710469 0.0710469i 0.670690 0.741737i \(-0.265998\pi\)
−0.741737 + 0.670690i \(0.765998\pi\)
\(314\) 3.63103 + 10.0736i 0.204911 + 0.568485i
\(315\) 4.83374 + 16.7610i 0.272350 + 0.944373i
\(316\) −4.38916 5.29740i −0.246909 0.298002i
\(317\) −0.304766 0.304766i −0.0171174 0.0171174i 0.698496 0.715614i \(-0.253853\pi\)
−0.715614 + 0.698496i \(0.753853\pi\)
\(318\) 2.51665 5.35342i 0.141127 0.300205i
\(319\) 26.4375i 1.48022i
\(320\) −17.8885 + 0.00547717i −1.00000 + 0.000306183i
\(321\) −24.1862 −1.34994
\(322\) 29.1420 + 13.6997i 1.62402 + 0.763454i
\(323\) 3.03036 + 3.03036i 0.168614 + 0.168614i
\(324\) −14.2238 17.1671i −0.790213 0.953730i
\(325\) 13.2237 + 12.2529i 0.733518 + 0.679670i
\(326\) −13.9216 + 5.01805i −0.771046 + 0.277924i
\(327\) 4.91787 4.91787i 0.271959 0.271959i
\(328\) −3.54148 13.7283i −0.195545 0.758017i
\(329\) 23.4613i 1.29346i
\(330\) 4.39283 27.4527i 0.241818 1.51122i
\(331\) −1.54670 −0.0850143 −0.0425071 0.999096i \(-0.513535\pi\)
−0.0425071 + 0.999096i \(0.513535\pi\)
\(332\) 1.18138 12.5996i 0.0648364 0.691495i
\(333\) 0.827549 0.827549i 0.0453494 0.0453494i
\(334\) 3.27392 + 9.08286i 0.179141 + 0.496992i
\(335\) 11.2316 3.23911i 0.613648 0.176972i
\(336\) −36.9722 6.99471i −2.01700 0.381593i
\(337\) 21.3686 21.3686i 1.16402 1.16402i 0.180434 0.983587i \(-0.442250\pi\)
0.983587 0.180434i \(-0.0577502\pi\)
\(338\) 1.55033 + 18.3193i 0.0843270 + 0.996438i
\(339\) −30.3010 −1.64573
\(340\) −3.94063 2.68503i −0.213710 0.145616i
\(341\) −9.43528 −0.510949
\(342\) 4.40323 9.36656i 0.238099 0.506485i
\(343\) −13.1968 13.1968i −0.712559 0.712559i
\(344\) 8.79325 14.9072i 0.474100 0.803745i
\(345\) 12.6152 22.8404i 0.679181 1.22968i
\(346\) 20.6410 7.44005i 1.10967 0.399980i
\(347\) 15.8528 + 15.8528i 0.851025 + 0.851025i 0.990259 0.139235i \(-0.0444643\pi\)
−0.139235 + 0.990259i \(0.544464\pi\)
\(348\) 2.70662 28.8667i 0.145090 1.54742i
\(349\) 5.85768 0.313554 0.156777 0.987634i \(-0.449890\pi\)
0.156777 + 0.987634i \(0.449890\pi\)
\(350\) −18.6533 + 23.8717i −0.997058 + 1.27600i
\(351\) −8.08480 4.66630i −0.431535 0.249068i
\(352\) 18.3503 + 13.2792i 0.978075 + 0.707783i
\(353\) 11.5440 11.5440i 0.614427 0.614427i −0.329669 0.944096i \(-0.606937\pi\)
0.944096 + 0.329669i \(0.106937\pi\)
\(354\) 2.44792 0.882356i 0.130106 0.0468967i
\(355\) 28.7417 + 15.8747i 1.52545 + 0.842539i
\(356\) 8.04781 + 9.71312i 0.426533 + 0.514794i
\(357\) −7.09245 7.09245i −0.375372 0.375372i
\(358\) 4.16571 8.86130i 0.220164 0.468334i
\(359\) 10.8120i 0.570635i −0.958433 0.285317i \(-0.907901\pi\)
0.958433 0.285317i \(-0.0920990\pi\)
\(360\) −2.87319 + 11.1518i −0.151431 + 0.587754i
\(361\) 2.84531 0.149753
\(362\) −6.38152 + 13.5748i −0.335405 + 0.713475i
\(363\) −7.81472 + 7.81472i −0.410166 + 0.410166i
\(364\) −30.4579 + 5.17960i −1.59643 + 0.271485i
\(365\) 16.2240 4.67888i 0.849201 0.244904i
\(366\) 14.0656 + 39.0221i 0.735218 + 2.03972i
\(367\) −6.69338 6.69338i −0.349392 0.349392i 0.510491 0.859883i \(-0.329464\pi\)
−0.859883 + 0.510491i \(0.829464\pi\)
\(368\) 11.9757 + 17.5643i 0.624275 + 0.915603i
\(369\) −9.12713 −0.475139
\(370\) 2.00700 + 0.321149i 0.104339 + 0.0166957i
\(371\) 8.16210 0.423755
\(372\) 10.3022 + 0.965966i 0.534147 + 0.0500830i
\(373\) 26.8369 + 26.8369i 1.38956 + 1.38956i 0.826227 + 0.563337i \(0.190483\pi\)
0.563337 + 0.826227i \(0.309517\pi\)
\(374\) 2.04743 + 5.68021i 0.105870 + 0.293717i
\(375\) 18.3175 + 16.3424i 0.945913 + 0.843917i
\(376\) 7.86908 13.3405i 0.405817 0.687984i
\(377\) −6.16446 22.9936i −0.317486 1.18423i
\(378\) 6.67378 14.1965i 0.343262 0.730188i
\(379\) 6.51205i 0.334501i −0.985914 0.167251i \(-0.946511\pi\)
0.985914 0.167251i \(-0.0534889\pi\)
\(380\) 17.6605 3.34677i 0.905964 0.171685i
\(381\) 5.57768 0.285753
\(382\) −26.5677 12.4895i −1.35932 0.639020i
\(383\) 6.37394 + 6.37394i 0.325693 + 0.325693i 0.850946 0.525253i \(-0.176029\pi\)
−0.525253 + 0.850946i \(0.676029\pi\)
\(384\) −18.6769 16.3780i −0.953104 0.835788i
\(385\) 36.8587 10.6298i 1.87849 0.541744i
\(386\) −2.40049 6.65969i −0.122182 0.338969i
\(387\) −7.87853 7.87853i −0.400488 0.400488i
\(388\) −2.54700 + 27.1643i −0.129304 + 1.37906i
\(389\) 31.2025i 1.58203i −0.611797 0.791015i \(-0.709553\pi\)
0.611797 0.791015i \(-0.290447\pi\)
\(390\) 2.58059 + 24.9008i 0.130673 + 1.26090i
\(391\) 5.66672i 0.286578i
\(392\) −8.02325 31.1016i −0.405235 1.57087i
\(393\) 1.82647 + 1.82647i 0.0921333 + 0.0921333i
\(394\) −33.0203 + 11.9022i −1.66354 + 0.599623i
\(395\) −6.73279 3.71866i −0.338763 0.187106i
\(396\) 11.2285 9.30342i 0.564256 0.467514i
\(397\) 7.96092 + 7.96092i 0.399547 + 0.399547i 0.878073 0.478526i \(-0.158829\pi\)
−0.478526 + 0.878073i \(0.658829\pi\)
\(398\) 11.5362 24.5399i 0.578260 1.23007i
\(399\) 37.8095 1.89284
\(400\) −18.6133 + 7.31744i −0.930665 + 0.365872i
\(401\) 34.8531i 1.74048i −0.492629 0.870239i \(-0.663964\pi\)
0.492629 0.870239i \(-0.336036\pi\)
\(402\) 14.6901 + 6.90583i 0.732675 + 0.344431i
\(403\) 8.20617 2.20003i 0.408779 0.109592i
\(404\) −13.1952 15.9256i −0.656484 0.792329i
\(405\) −21.8188 12.0510i −1.08418 0.598818i
\(406\) 37.6345 13.5654i 1.86777 0.673239i
\(407\) −1.81985 1.81985i −0.0902065 0.0902065i
\(408\) −1.65403 6.41175i −0.0818869 0.317429i
\(409\) −21.4960 −1.06291 −0.531454 0.847087i \(-0.678354\pi\)
−0.531454 + 0.847087i \(0.678354\pi\)
\(410\) −9.29669 12.8387i −0.459131 0.634056i
\(411\) 0.814745 0.0401884
\(412\) −9.38879 0.880319i −0.462553 0.0433702i
\(413\) 2.53875 + 2.53875i 0.124924 + 0.124924i
\(414\) 12.8746 4.64066i 0.632753 0.228076i
\(415\) −3.92057 13.5946i −0.192453 0.667331i
\(416\) −19.0562 7.27059i −0.934307 0.356470i
\(417\) −10.0735 + 10.0735i −0.493303 + 0.493303i
\(418\) −20.5978 9.68305i −1.00747 0.473614i
\(419\) 14.2968 0.698445 0.349222 0.937040i \(-0.386446\pi\)
0.349222 + 0.937040i \(0.386446\pi\)
\(420\) −41.3337 + 7.83298i −2.01688 + 0.382210i
\(421\) 33.3634i 1.62603i 0.582241 + 0.813016i \(0.302176\pi\)
−0.582241 + 0.813016i \(0.697824\pi\)
\(422\) −26.4927 12.4542i −1.28964 0.606263i
\(423\) −7.05050 7.05050i −0.342807 0.342807i
\(424\) 4.64111 + 2.73762i 0.225392 + 0.132951i
\(425\) −5.19825 1.18346i −0.252152 0.0574062i
\(426\) 15.4611 + 42.8938i 0.749092 + 2.07821i
\(427\) −40.4701 + 40.4701i −1.95848 + 1.95848i
\(428\) 2.05667 21.9349i 0.0994130 1.06026i
\(429\) 15.8458 27.4544i 0.765043 1.32551i
\(430\) 3.05744 19.1072i 0.147443 0.921432i
\(431\) 3.59162 0.173002 0.0865011 0.996252i \(-0.472431\pi\)
0.0865011 + 0.996252i \(0.472431\pi\)
\(432\) 8.55643 5.83393i 0.411671 0.280685i
\(433\) −13.7981 13.7981i −0.663094 0.663094i 0.293014 0.956108i \(-0.405342\pi\)
−0.956108 + 0.293014i \(0.905342\pi\)
\(434\) 4.84135 + 13.4314i 0.232392 + 0.644727i
\(435\) −8.98233 31.1462i −0.430670 1.49334i
\(436\) 4.04191 + 4.87830i 0.193573 + 0.233628i
\(437\) −15.1045 15.1045i −0.722546 0.722546i
\(438\) 21.2197 + 9.97542i 1.01392 + 0.476644i
\(439\) −17.0950 −0.815898 −0.407949 0.913005i \(-0.633756\pi\)
−0.407949 + 0.913005i \(0.633756\pi\)
\(440\) 24.5238 + 6.31838i 1.16913 + 0.301217i
\(441\) −20.6776 −0.984647
\(442\) −3.10518 4.46286i −0.147698 0.212277i
\(443\) 1.06840 1.06840i 0.0507610 0.0507610i −0.681271 0.732032i \(-0.738572\pi\)
0.732032 + 0.681271i \(0.238572\pi\)
\(444\) 1.80075 + 2.17338i 0.0854599 + 0.103144i
\(445\) 12.3450 + 6.81841i 0.585210 + 0.323224i
\(446\) 11.1299 4.01178i 0.527016 0.189963i
\(447\) −36.0648 + 36.0648i −1.70580 + 1.70580i
\(448\) 9.48755 32.9359i 0.448245 1.55608i
\(449\) −8.23041 −0.388417 −0.194208 0.980960i \(-0.562214\pi\)
−0.194208 + 0.980960i \(0.562214\pi\)
\(450\) 1.56823 + 12.7794i 0.0739272 + 0.602429i
\(451\) 20.0713i 0.945120i
\(452\) 2.57665 27.4805i 0.121195 1.29257i
\(453\) 10.2770 10.2770i 0.482855 0.482855i
\(454\) −0.392724 1.08954i −0.0184315 0.0511345i
\(455\) −29.5787 + 17.8395i −1.38667 + 0.836327i
\(456\) 21.4991 + 12.6816i 1.00679 + 0.593868i
\(457\) 12.8554 + 12.8554i 0.601350 + 0.601350i 0.940671 0.339321i \(-0.110197\pi\)
−0.339321 + 0.940671i \(0.610197\pi\)
\(458\) 3.39913 7.23064i 0.158831 0.337866i
\(459\) 2.76053 0.128851
\(460\) 19.6416 + 13.3832i 0.915794 + 0.623995i
\(461\) 14.8290i 0.690654i 0.938482 + 0.345327i \(0.112232\pi\)
−0.938482 + 0.345327i \(0.887768\pi\)
\(462\) 48.2084 + 22.6628i 2.24286 + 1.05437i
\(463\) 19.1031 + 19.1031i 0.887795 + 0.887795i 0.994311 0.106516i \(-0.0339694\pi\)
−0.106516 + 0.994311i \(0.533969\pi\)
\(464\) 25.9496 + 4.90936i 1.20468 + 0.227912i
\(465\) 11.1158 3.20571i 0.515481 0.148661i
\(466\) 10.2485 3.69409i 0.474754 0.171125i
\(467\) −2.71966 2.71966i −0.125851 0.125851i 0.641376 0.767227i \(-0.278364\pi\)
−0.767227 + 0.641376i \(0.778364\pi\)
\(468\) −7.59655 + 10.7097i −0.351151 + 0.495054i
\(469\) 22.3972i 1.03421i
\(470\) 2.73610 17.0991i 0.126207 0.788721i
\(471\) 16.6248i 0.766028i
\(472\) 0.592064 + 2.29510i 0.0272520 + 0.105640i
\(473\) −17.3255 + 17.3255i −0.796628 + 0.796628i
\(474\) −3.62178 10.0479i −0.166354 0.461517i
\(475\) 17.0103 10.7013i 0.780485 0.491010i
\(476\) 7.03538 5.82916i 0.322466 0.267179i
\(477\) 2.45284 2.45284i 0.112308 0.112308i
\(478\) −2.22502 1.04598i −0.101770 0.0478422i
\(479\) 13.9163i 0.635854i −0.948115 0.317927i \(-0.897013\pi\)
0.948115 0.317927i \(-0.102987\pi\)
\(480\) −26.1303 9.40965i −1.19268 0.429490i
\(481\) 2.00712 + 1.15845i 0.0915167 + 0.0528206i
\(482\) −2.45566 1.15441i −0.111852 0.0525818i
\(483\) 35.3515 + 35.3515i 1.60855 + 1.60855i
\(484\) −6.42278 7.75183i −0.291945 0.352356i
\(485\) 8.45261 + 29.3094i 0.383813 + 1.33087i
\(486\) −8.01233 22.2286i −0.363447 1.00831i
\(487\) 14.0817 14.0817i 0.638104 0.638104i −0.311983 0.950088i \(-0.600993\pi\)
0.950088 + 0.311983i \(0.100993\pi\)
\(488\) −36.5859 + 9.43805i −1.65617 + 0.427240i
\(489\) −22.9753 −1.03898
\(490\) −21.0617 29.0861i −0.951472 1.31398i
\(491\) 5.72122i 0.258195i −0.991632 0.129097i \(-0.958792\pi\)
0.991632 0.129097i \(-0.0412080\pi\)
\(492\) 2.05486 21.9155i 0.0926402 0.988029i
\(493\) 4.97797 + 4.97797i 0.224196 + 0.224196i
\(494\) 20.1724 + 3.61886i 0.907599 + 0.162820i
\(495\) 7.88221 14.2711i 0.354279 0.641436i
\(496\) −1.75210 + 9.26115i −0.0786718 + 0.415838i
\(497\) −44.4854 + 44.4854i −1.99544 + 1.99544i
\(498\) 8.35872 17.7807i 0.374563 0.796771i
\(499\) 18.6310i 0.834040i −0.908897 0.417020i \(-0.863074\pi\)
0.908897 0.417020i \(-0.136926\pi\)
\(500\) −16.3788 + 15.2228i −0.732484 + 0.680785i
\(501\) 14.9897i 0.669692i
\(502\) 35.9417 + 16.8962i 1.60416 + 0.754116i
\(503\) −7.95573 + 7.95573i −0.354728 + 0.354728i −0.861865 0.507137i \(-0.830704\pi\)
0.507137 + 0.861865i \(0.330704\pi\)
\(504\) −19.0052 11.2105i −0.846558 0.499354i
\(505\) −20.2408 11.1795i −0.900706 0.497479i
\(506\) −10.2052 28.3123i −0.453676 1.25864i
\(507\) −7.38006 + 27.5728i −0.327760 + 1.22455i
\(508\) −0.474298 + 5.05849i −0.0210436 + 0.224434i
\(509\) 4.08878 0.181232 0.0906160 0.995886i \(-0.471116\pi\)
0.0906160 + 0.995886i \(0.471116\pi\)
\(510\) −4.34199 5.99626i −0.192266 0.265519i
\(511\) 32.3527i 1.43120i
\(512\) 16.4417 15.5457i 0.726628 0.687031i
\(513\) −7.35813 + 7.35813i −0.324869 + 0.324869i
\(514\) 9.08757 + 25.2117i 0.400836 + 1.11204i
\(515\) −10.1302 + 2.92147i −0.446389 + 0.128735i
\(516\) 20.6912 17.1437i 0.910881 0.754711i
\(517\) −15.5046 + 15.5046i −0.681892 + 0.681892i
\(518\) −1.65682 + 3.52439i −0.0727965 + 0.154853i
\(519\) 34.0645 1.49526
\(520\) −22.8024 + 0.222938i −0.999952 + 0.00977648i
\(521\) 14.0359 0.614924 0.307462 0.951560i \(-0.400520\pi\)
0.307462 + 0.951560i \(0.400520\pi\)
\(522\) 7.23317 15.3864i 0.316587 0.673445i
\(523\) 13.6052 13.6052i 0.594912 0.594912i −0.344042 0.938954i \(-0.611796\pi\)
0.938954 + 0.344042i \(0.111796\pi\)
\(524\) −1.81177 + 1.50115i −0.0791477 + 0.0655778i
\(525\) −39.8119 + 25.0460i −1.73753 + 1.09310i
\(526\) −3.54581 9.83716i −0.154605 0.428921i
\(527\) −1.77659 + 1.77659i −0.0773893 + 0.0773893i
\(528\) 19.8109 + 29.0559i 0.862158 + 1.26450i
\(529\) 5.24510i 0.228048i
\(530\) 5.94870 + 0.951879i 0.258395 + 0.0413470i
\(531\) 1.52587 0.0662173
\(532\) −3.21513 + 34.2901i −0.139393 + 1.48666i
\(533\) −4.68004 17.4567i −0.202715 0.756132i
\(534\) 6.64078 + 18.4235i 0.287375 + 0.797265i
\(535\) −6.82538 23.6670i −0.295087 1.02321i
\(536\) −7.51219 + 12.7355i −0.324477 + 0.550088i
\(537\) 10.7494 10.7494i 0.463873 0.463873i
\(538\) 6.77582 + 3.18532i 0.292126 + 0.137329i
\(539\) 45.4717i 1.95860i
\(540\) 6.51961 9.56837i 0.280559 0.411757i
\(541\) 20.5892i 0.885200i 0.896719 + 0.442600i \(0.145944\pi\)
−0.896719 + 0.442600i \(0.854056\pi\)
\(542\) −12.1943 + 25.9398i −0.523792 + 1.11421i
\(543\) −16.4673 + 16.4673i −0.706678 + 0.706678i
\(544\) 5.95558 0.954850i 0.255343 0.0409388i
\(545\) 6.20013 + 3.42447i 0.265584 + 0.146688i
\(546\) −47.2128 8.46980i −2.02052 0.362474i
\(547\) −27.5630 27.5630i −1.17851 1.17851i −0.980124 0.198387i \(-0.936430\pi\)
−0.198387 0.980124i \(-0.563570\pi\)
\(548\) −0.0692819 + 0.738906i −0.00295957 + 0.0315645i
\(549\) 24.3238i 1.03812i
\(550\) 28.1030 3.44867i 1.19832 0.147052i
\(551\) −26.5373 −1.13052
\(552\) 8.24434 + 31.9586i 0.350902 + 1.36025i
\(553\) 10.4208 10.4208i 0.443136 0.443136i
\(554\) −10.8670 30.1483i −0.461693 1.28088i
\(555\) 2.76228 + 1.52567i 0.117252 + 0.0647610i
\(556\) −8.27927 9.99247i −0.351119 0.423775i
\(557\) −14.7124 14.7124i −0.623382 0.623382i 0.323012 0.946395i \(-0.395304\pi\)
−0.946395 + 0.323012i \(0.895304\pi\)
\(558\) 5.49126 + 2.58145i 0.232463 + 0.109281i
\(559\) 11.0288 19.1084i 0.466467 0.808199i
\(560\) −3.58905 38.1524i −0.151665 1.61223i
\(561\) 9.37423i 0.395780i
\(562\) −19.4445 9.14088i −0.820217 0.385585i
\(563\) −9.04527 + 9.04527i −0.381213 + 0.381213i −0.871539 0.490326i \(-0.836878\pi\)
0.490326 + 0.871539i \(0.336878\pi\)
\(564\) 18.5166 15.3419i 0.779690 0.646012i
\(565\) −8.55100 29.6505i −0.359743 1.24741i
\(566\) 9.10988 + 25.2736i 0.382917 + 1.06233i
\(567\) 33.7703 33.7703i 1.41822 1.41822i
\(568\) −40.2158 + 10.3745i −1.68742 + 0.435302i
\(569\) 16.7114i 0.700577i 0.936642 + 0.350289i \(0.113917\pi\)
−0.936642 + 0.350289i \(0.886083\pi\)
\(570\) 27.5563 + 4.40941i 1.15421 + 0.184690i
\(571\) 12.2500i 0.512646i −0.966591 0.256323i \(-0.917489\pi\)
0.966591 0.256323i \(-0.0825111\pi\)
\(572\) 23.5514 + 16.7054i 0.984734 + 0.698489i
\(573\) −32.2287 32.2287i −1.34637 1.34637i
\(574\) 28.5720 10.2988i 1.19257 0.429864i
\(575\) 25.9101 + 5.89882i 1.08052 + 0.245998i
\(576\) −7.04661 12.7489i −0.293609 0.531206i
\(577\) 28.8920 + 28.8920i 1.20279 + 1.20279i 0.973315 + 0.229473i \(0.0737004\pi\)
0.229473 + 0.973315i \(0.426300\pi\)
\(578\) −20.3023 9.54416i −0.844466 0.396985i
\(579\) 10.9907i 0.456758i
\(580\) 29.0108 5.49772i 1.20461 0.228280i
\(581\) 27.1093 1.12468
\(582\) −18.0211 + 38.3344i −0.746997 + 1.58901i
\(583\) −5.39400 5.39400i −0.223397 0.223397i
\(584\) −10.8513 + 18.3963i −0.449030 + 0.761244i
\(585\) −3.52782 + 14.2499i −0.145858 + 0.589161i
\(586\) −5.77442 16.0200i −0.238539 0.661781i
\(587\) −4.79794 + 4.79794i −0.198032 + 0.198032i −0.799156 0.601124i \(-0.794720\pi\)
0.601124 + 0.799156i \(0.294720\pi\)
\(588\) 4.65531 49.6499i 0.191982 2.04753i
\(589\) 9.47088i 0.390241i
\(590\) 1.55422 + 2.14637i 0.0639863 + 0.0883647i
\(591\) −54.4944 −2.24160
\(592\) −2.12420 + 1.44832i −0.0873041 + 0.0595256i
\(593\) −14.6931 + 14.6931i −0.603373 + 0.603373i −0.941206 0.337833i \(-0.890306\pi\)
0.337833 + 0.941206i \(0.390306\pi\)
\(594\) −13.7923 + 4.97144i −0.565905 + 0.203981i
\(595\) 4.93869 8.94169i 0.202467 0.366574i
\(596\) −29.6410 35.7745i −1.21414 1.46538i
\(597\) 29.7688 29.7688i 1.21836 1.21836i
\(598\) 15.4774 + 22.2446i 0.632918 + 0.909650i
\(599\) 38.2891 1.56445 0.782226 0.622995i \(-0.214084\pi\)
0.782226 + 0.622995i \(0.214084\pi\)
\(600\) −31.0384 + 0.888418i −1.26714 + 0.0362695i
\(601\) −16.2330 −0.662159 −0.331079 0.943603i \(-0.607413\pi\)
−0.331079 + 0.943603i \(0.607413\pi\)
\(602\) 33.5533 + 15.7735i 1.36753 + 0.642878i
\(603\) 6.73074 + 6.73074i 0.274097 + 0.274097i
\(604\) 8.44647 + 10.1943i 0.343682 + 0.414799i
\(605\) −9.85228 5.44163i −0.400552 0.221234i
\(606\) −10.8882 30.2072i −0.442303 1.22708i
\(607\) 6.35320 + 6.35320i 0.257868 + 0.257868i 0.824187 0.566318i \(-0.191633\pi\)
−0.566318 + 0.824187i \(0.691633\pi\)
\(608\) −13.3293 + 18.4196i −0.540575 + 0.747011i
\(609\) 62.1095 2.51680
\(610\) −34.2151 + 24.7757i −1.38533 + 1.00314i
\(611\) 9.86965 17.1001i 0.399283 0.691796i
\(612\) 0.362487 3.86600i 0.0146527 0.156274i
\(613\) 31.3456 31.3456i 1.26604 1.26604i 0.317920 0.948118i \(-0.397016\pi\)
0.948118 0.317920i \(-0.102984\pi\)
\(614\) −4.51653 12.5302i −0.182272 0.505679i
\(615\) −6.81936 23.6461i −0.274983 0.953503i
\(616\) −24.6527 + 41.7939i −0.993287 + 1.68392i
\(617\) −9.25716 9.25716i −0.372679 0.372679i 0.495773 0.868452i \(-0.334885\pi\)
−0.868452 + 0.495773i \(0.834885\pi\)
\(618\) −13.2495 6.22861i −0.532974 0.250552i
\(619\) 45.3844i 1.82415i 0.410019 + 0.912077i \(0.365522\pi\)
−0.410019 + 0.912077i \(0.634478\pi\)
\(620\) 1.96208 + 10.3537i 0.0787991 + 0.415814i
\(621\) −13.7596 −0.552152
\(622\) −23.5078 11.0510i −0.942577 0.443107i
\(623\) −19.1072 + 19.1072i −0.765512 + 0.765512i
\(624\) −24.0052 20.6516i −0.960976 0.826724i
\(625\) −10.8223 + 22.5361i −0.432893 + 0.901445i
\(626\) 2.36495 0.852448i 0.0945225 0.0340707i
\(627\) −24.9867 24.9867i −0.997874 0.997874i
\(628\) −15.0773 1.41369i −0.601649 0.0564122i
\(629\) −0.685325 −0.0273257
\(630\) −24.3597 3.89791i −0.970514 0.155296i
\(631\) −6.06716 −0.241530 −0.120765 0.992681i \(-0.538535\pi\)
−0.120765 + 0.992681i \(0.538535\pi\)
\(632\) 9.42063 2.43023i 0.374732 0.0966695i
\(633\) −32.1377 32.1377i −1.27736 1.27736i
\(634\) 0.573418 0.206689i 0.0227733 0.00820866i
\(635\) 1.57403 + 5.45794i 0.0624634 + 0.216592i
\(636\) 5.33740 + 6.44186i 0.211642 + 0.255436i
\(637\) −10.6027 39.5482i −0.420094 1.56696i
\(638\) −33.8359 15.9063i −1.33958 0.629737i
\(639\) 26.7371i 1.05771i
\(640\) 10.7558 22.8979i 0.425159 0.905119i
\(641\) −3.06840 −0.121195 −0.0605973 0.998162i \(-0.519301\pi\)
−0.0605973 + 0.998162i \(0.519301\pi\)
\(642\) 14.5518 30.9546i 0.574314 1.22168i
\(643\) −10.4791 10.4791i −0.413254 0.413254i 0.469617 0.882870i \(-0.344392\pi\)
−0.882870 + 0.469617i \(0.844392\pi\)
\(644\) −35.0670 + 29.0548i −1.38183 + 1.14492i
\(645\) 14.5248 26.2978i 0.571915 1.03547i
\(646\) −5.70164 + 2.05516i −0.224328 + 0.0808592i
\(647\) −23.5375 23.5375i −0.925356 0.925356i 0.0720455 0.997401i \(-0.477047\pi\)
−0.997401 + 0.0720455i \(0.977047\pi\)
\(648\) 30.5292 7.87559i 1.19930 0.309382i
\(649\) 3.35552i 0.131716i
\(650\) −23.6380 + 9.55223i −0.927158 + 0.374669i
\(651\) 22.1662i 0.868764i
\(652\) 1.95370 20.8367i 0.0765129 0.816027i
\(653\) −20.8321 20.8321i −0.815224 0.815224i 0.170187 0.985412i \(-0.445563\pi\)
−0.985412 + 0.170187i \(0.945563\pi\)
\(654\) 3.33525 + 9.25300i 0.130419 + 0.361821i
\(655\) −1.27183 + 2.30269i −0.0496944 + 0.0899737i
\(656\) 19.7009 + 3.72718i 0.769189 + 0.145522i
\(657\) 9.72250 + 9.72250i 0.379311 + 0.379311i
\(658\) 30.0269 + 14.1157i 1.17057 + 0.550286i
\(659\) −15.2442 −0.593831 −0.296916 0.954904i \(-0.595958\pi\)
−0.296916 + 0.954904i \(0.595958\pi\)
\(660\) 32.4923 + 22.1393i 1.26476 + 0.861770i
\(661\) 11.3087i 0.439857i 0.975516 + 0.219929i \(0.0705825\pi\)
−0.975516 + 0.219929i \(0.929418\pi\)
\(662\) 0.930583 1.97954i 0.0361681 0.0769369i
\(663\) −2.18580 8.15307i −0.0848894 0.316639i
\(664\) 15.4148 + 9.09265i 0.598211 + 0.352863i
\(665\) 10.6699 + 36.9978i 0.413761 + 1.43471i
\(666\) 0.561235 + 1.55704i 0.0217474 + 0.0603340i
\(667\) −24.8121 24.8121i −0.960728 0.960728i
\(668\) −13.5945 1.27465i −0.525985 0.0493178i
\(669\) 18.3680 0.710149
\(670\) −2.61201 + 16.3236i −0.100911 + 0.630634i
\(671\) 53.4901 2.06496
\(672\) 31.1967 43.1103i 1.20344 1.66302i
\(673\) 3.84495 + 3.84495i 0.148212 + 0.148212i 0.777319 0.629107i \(-0.216579\pi\)
−0.629107 + 0.777319i \(0.716579\pi\)
\(674\) 14.4919 + 40.2051i 0.558209 + 1.54864i
\(675\) 2.87360 12.6221i 0.110605 0.485823i
\(676\) −24.3787 9.03775i −0.937641 0.347606i
\(677\) −23.8676 + 23.8676i −0.917305 + 0.917305i −0.996833 0.0795281i \(-0.974659\pi\)
0.0795281 + 0.996833i \(0.474659\pi\)
\(678\) 18.2308 38.7807i 0.700151 1.48936i
\(679\) −58.4466 −2.24297
\(680\) 5.80733 3.42793i 0.222701 0.131455i
\(681\) 1.79810i 0.0689033i
\(682\) 5.67681 12.0757i 0.217376 0.462403i
\(683\) −8.50618 8.50618i −0.325480 0.325480i 0.525385 0.850865i \(-0.323921\pi\)
−0.850865 + 0.525385i \(0.823921\pi\)
\(684\) 9.33852 + 11.2709i 0.357067 + 0.430954i
\(685\) 0.229922 + 0.797254i 0.00878488 + 0.0304615i
\(686\) 24.8298 8.94991i 0.948006 0.341709i
\(687\) 8.77133 8.77133i 0.334647 0.334647i
\(688\) 13.7885 + 20.2231i 0.525681 + 0.770997i
\(689\) 5.94906 + 3.43361i 0.226641 + 0.130810i
\(690\) 21.6421 + 29.8876i 0.823902 + 1.13780i
\(691\) −30.9634 −1.17790 −0.588952 0.808168i \(-0.700459\pi\)
−0.588952 + 0.808168i \(0.700459\pi\)
\(692\) −2.89667 + 30.8936i −0.110115 + 1.17440i
\(693\) 22.0882 + 22.0882i 0.839062 + 0.839062i
\(694\) −29.8272 + 10.7512i −1.13222 + 0.408111i
\(695\) −12.7001 7.01451i −0.481740 0.266076i
\(696\) 35.3165 + 20.8319i 1.33867 + 0.789633i
\(697\) 3.77926 + 3.77926i 0.143150 + 0.143150i
\(698\) −3.52432 + 7.49693i −0.133397 + 0.283763i
\(699\) 16.9135 0.639727
\(700\) −19.3293 38.2359i −0.730578 1.44518i
\(701\) −15.6776 −0.592134 −0.296067 0.955167i \(-0.595675\pi\)
−0.296067 + 0.955167i \(0.595675\pi\)
\(702\) 10.8364 7.53980i 0.408995 0.284571i
\(703\) 1.82671 1.82671i 0.0688958 0.0688958i
\(704\) −28.0359 + 15.4961i −1.05664 + 0.584030i
\(705\) 12.9983 23.5339i 0.489544 0.886338i
\(706\) 7.82904 + 21.7202i 0.294650 + 0.817449i
\(707\) 31.3281 31.3281i 1.17821 1.17821i
\(708\) −0.343532 + 3.66384i −0.0129107 + 0.137696i
\(709\) 4.38017 0.164501 0.0822504 0.996612i \(-0.473789\pi\)
0.0822504 + 0.996612i \(0.473789\pi\)
\(710\) −37.6098 + 27.2339i −1.41147 + 1.02207i
\(711\) 6.26322i 0.234889i
\(712\) −17.2733 + 4.45599i −0.647346 + 0.166995i
\(713\) 8.85519 8.85519i 0.331629 0.331629i
\(714\) 13.3445 4.81003i 0.499405 0.180011i
\(715\) 31.3367 + 7.75796i 1.17193 + 0.290131i
\(716\) 8.83478 + 10.6629i 0.330171 + 0.398493i
\(717\) −2.69912 2.69912i −0.100800 0.100800i
\(718\) 13.8377 + 6.50511i 0.516418 + 0.242769i
\(719\) 42.2331 1.57503 0.787514 0.616297i \(-0.211368\pi\)
0.787514 + 0.616297i \(0.211368\pi\)
\(720\) −12.5440 10.3868i −0.467486 0.387095i
\(721\) 20.2009i 0.752320i
\(722\) −1.71190 + 3.64156i −0.0637104 + 0.135525i
\(723\) −2.97890 2.97890i −0.110787 0.110787i
\(724\) −13.5342 16.3347i −0.502993 0.607076i
\(725\) 27.9427 17.5790i 1.03777 0.652868i
\(726\) −5.29986 14.7034i −0.196696 0.545695i
\(727\) 30.6068 + 30.6068i 1.13514 + 1.13514i 0.989309 + 0.145836i \(0.0465871\pi\)
0.145836 + 0.989309i \(0.453413\pi\)
\(728\) 11.6962 42.0979i 0.433488 1.56025i
\(729\) 3.24346i 0.120128i
\(730\) −3.77303 + 23.5793i −0.139646 + 0.872708i
\(731\) 6.52451i 0.241318i
\(732\) −58.4050 5.47621i −2.15871 0.202407i
\(733\) 19.4882 19.4882i 0.719813 0.719813i −0.248753 0.968567i \(-0.580021\pi\)
0.968567 + 0.248753i \(0.0800209\pi\)
\(734\) 12.5936 4.53938i 0.464839 0.167552i
\(735\) −15.4493 53.5705i −0.569857 1.97598i
\(736\) −29.6849 + 4.75934i −1.09420 + 0.175431i
\(737\) 14.8014 14.8014i 0.545218 0.545218i
\(738\) 5.49140 11.6813i 0.202141 0.429995i
\(739\) 22.6467i 0.833073i −0.909119 0.416536i \(-0.863244\pi\)
0.909119 0.416536i \(-0.136756\pi\)
\(740\) −1.61854 + 2.37543i −0.0594989 + 0.0873224i
\(741\) 27.5580 + 15.9056i 1.01237 + 0.584307i
\(742\) −4.91079 + 10.4462i −0.180281 + 0.383493i
\(743\) 32.8872 + 32.8872i 1.20651 + 1.20651i 0.972149 + 0.234365i \(0.0753011\pi\)
0.234365 + 0.972149i \(0.424699\pi\)
\(744\) −7.43471 + 12.6041i −0.272570 + 0.462089i
\(745\) −45.4681 25.1130i −1.66582 0.920069i
\(746\) −50.4938 + 18.2005i −1.84871 + 0.666369i
\(747\) 8.14679 8.14679i 0.298075 0.298075i
\(748\) −8.50165 0.797138i −0.310851 0.0291462i
\(749\) 47.1949 1.72447
\(750\) −31.9366 + 13.6111i −1.16616 + 0.497007i
\(751\) 42.2764i 1.54269i 0.636420 + 0.771343i \(0.280415\pi\)
−0.636420 + 0.771343i \(0.719585\pi\)
\(752\) 12.3393 + 18.0976i 0.449968 + 0.659953i
\(753\) 43.6000 + 43.6000i 1.58887 + 1.58887i
\(754\) 33.1371 + 5.94468i 1.20678 + 0.216493i
\(755\) 12.9565 + 7.15617i 0.471536 + 0.260440i
\(756\) 14.1540 + 17.0828i 0.514776 + 0.621297i
\(757\) 27.3850 27.3850i 0.995323 0.995323i −0.00466596 0.999989i \(-0.501485\pi\)
0.999989 + 0.00466596i \(0.00148523\pi\)
\(758\) 8.33442 + 3.91802i 0.302720 + 0.142309i
\(759\) 46.7247i 1.69600i
\(760\) −6.34222 + 24.6163i −0.230057 + 0.892928i
\(761\) 10.3952i 0.376826i −0.982090 0.188413i \(-0.939666\pi\)
0.982090 0.188413i \(-0.0603344\pi\)
\(762\) −3.35585 + 7.13857i −0.121570 + 0.258603i
\(763\) −9.59634 + 9.59634i −0.347411 + 0.347411i
\(764\) 31.9694 26.4882i 1.15661 0.958310i
\(765\) −1.20297 4.17128i −0.0434934 0.150813i
\(766\) −11.9926 + 4.32274i −0.433310 + 0.156187i
\(767\) 0.782410 + 2.91841i 0.0282512 + 0.105378i
\(768\) 32.1985 14.0497i 1.16186 0.506973i
\(769\) −54.0884 −1.95048 −0.975239 0.221153i \(-0.929018\pi\)
−0.975239 + 0.221153i \(0.929018\pi\)
\(770\) −8.57182 + 53.5690i −0.308907 + 1.93049i
\(771\) 41.6077i 1.49846i
\(772\) 9.96765 + 0.934594i 0.358744 + 0.0336368i
\(773\) −17.8837 + 17.8837i −0.643231 + 0.643231i −0.951348 0.308117i \(-0.900301\pi\)
0.308117 + 0.951348i \(0.400301\pi\)
\(774\) 14.8235 5.34314i 0.532820 0.192055i
\(775\) 6.27377 + 9.97247i 0.225361 + 0.358222i