Properties

Label 260.2.p.d.207.5
Level $260$
Weight $2$
Character 260.207
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 207.5
Character \(\chi\) \(=\) 260.207
Dual form 260.2.p.d.103.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.27985 - 0.601658i) q^{2} +(1.55255 + 1.55255i) q^{3} +(1.27602 + 1.54006i) q^{4} +(1.95736 - 1.08109i) q^{5} +(-1.05293 - 2.92114i) q^{6} +(3.02953 + 3.02953i) q^{7} +(-0.706517 - 2.73876i) q^{8} +1.82084i q^{9} +O(q^{10})\) \(q+(-1.27985 - 0.601658i) 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} +(-0.706517 - 2.73876i) q^{8} +1.82084i q^{9} +(-3.15556 + 0.205972i) q^{10} -4.00418 q^{11} +(-0.409941 + 4.37211i) q^{12} +(-0.933659 - 3.48257i) 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} +(1.09552 - 2.33040i) q^{18} +4.01929i q^{19} +(4.16256 + 1.63496i) q^{20} +9.40700i q^{21} +(5.12474 + 2.40915i) 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} +(-0.799924 + 8.53137i) q^{28} +6.60247i q^{29} +(-5.21896 - 4.57940i) q^{30} +2.35636 q^{31} +(3.31633 - 4.58279i) 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} +(2.41824 - 5.14408i) q^{38} +(3.95732 - 6.85643i) q^{39} +(-4.34376 - 4.59693i) q^{40} -5.01258i q^{41} +(5.65979 - 12.0395i) 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} +(-7.25639 + 4.94755i) q^{48} +11.3561i q^{49} +(-5.95389 + 3.81461i) q^{50} -2.34111i q^{51} +(4.17200 - 5.88170i) 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} +(3.97243 - 8.45015i) q^{58} -0.838004i q^{59} +(3.92424 + 9.00095i) q^{60} -13.3586 q^{61} +(-3.01578 - 1.41772i) q^{62} +(-5.51629 + 5.51629i) q^{63} +(-7.00167 + 3.86997i) q^{64} +(-5.59247 - 5.80726i) q^{65} +(4.21610 + 11.6968i) q^{66} +(-3.69649 - 3.69649i) q^{67} +(0.199076 - 2.12319i) q^{68} -11.6690i q^{69} +(-10.1839 - 8.93586i) q^{70} -14.6839 q^{71} +(4.98686 - 1.28646i) 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} +(-9.18998 + 6.39423i) q^{78} -3.43974 q^{79} +(2.79357 + 8.49682i) q^{80} +11.1471 q^{81} +(-3.01586 + 6.41534i) 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} +(2.82902 + 10.9665i) q^{88} +6.30698 q^{89} +(-0.375042 - 5.74579i) q^{90} +(7.72198 - 13.3791i) q^{91} +(0.992272 - 10.5828i) 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} +(6.83245 - 14.5340i) 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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.27985 0.601658i −0.904988 0.425436i
\(3\) 1.55255 + 1.55255i 0.896367 + 0.896367i 0.995113 0.0987456i \(-0.0314830\pi\)
−0.0987456 + 0.995113i \(0.531483\pi\)
\(4\) 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 0.987513 + 0.157541i \(0.0503565\pi\)
0.157541 + 0.987513i \(0.449643\pi\)
\(8\) −0.706517 2.73876i −0.249792 0.968300i
\(9\) 1.82084i 0.606948i
\(10\) −3.15556 + 0.205972i −0.997877 + 0.0651340i
\(11\) −4.00418 −1.20731 −0.603653 0.797247i \(-0.706289\pi\)
−0.603653 + 0.797247i \(0.706289\pi\)
\(12\) −0.409941 + 4.37211i −0.118340 + 1.26212i
\(13\) −0.933659 3.48257i −0.258951 0.965891i
\(14\) −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 0.609740 0.792601i \(-0.291274\pi\)
−0.792601 + 0.609740i \(0.791274\pi\)
\(18\) 1.09552 2.33040i 0.258218 0.549281i
\(19\) 4.01929i 0.922088i 0.887377 + 0.461044i \(0.152525\pi\)
−0.887377 + 0.461044i \(0.847475\pi\)
\(20\) 4.16256 + 1.63496i 0.930777 + 0.365587i
\(21\) 9.40700i 2.05278i
\(22\) 5.12474 + 2.40915i 1.09260 + 0.513632i
\(23\) −3.75800 3.75800i −0.783597 0.783597i 0.196839 0.980436i \(-0.436932\pi\)
−0.980436 + 0.196839i \(0.936932\pi\)
\(24\) 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
\(28\) −0.799924 + 8.53137i −0.151172 + 1.61228i
\(29\) 6.60247i 1.22605i 0.790064 + 0.613024i \(0.210047\pi\)
−0.790064 + 0.613024i \(0.789953\pi\)
\(30\) −5.21896 4.57940i −0.952848 0.836080i
\(31\) 2.35636 0.423214 0.211607 0.977355i \(-0.432130\pi\)
0.211607 + 0.977355i \(0.432130\pi\)
\(32\) 3.31633 4.58279i 0.586250 0.810130i
\(33\) −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 \(-0.766825\pi\)
0.668761 + 0.743478i \(0.266825\pi\)
\(38\) 2.41824 5.14408i 0.392290 0.834479i
\(39\) 3.95732 6.85643i 0.633678 1.09791i
\(40\) −4.34376 4.59693i −0.686808 0.726838i
\(41\) 5.01258i 0.782834i −0.920213 0.391417i \(-0.871985\pi\)
0.920213 0.391417i \(-0.128015\pi\)
\(42\) 5.65979 12.0395i 0.873325 1.85774i
\(43\) −4.32686 4.32686i −0.659840 0.659840i 0.295502 0.955342i \(-0.404513\pi\)
−0.955342 + 0.295502i \(0.904513\pi\)
\(44\) −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 0.930669 0.365864i \(-0.119226\pi\)
−0.365864 + 0.930669i \(0.619226\pi\)
\(48\) −7.25639 + 4.94755i −1.04737 + 0.714117i
\(49\) 11.3561i 1.62229i
\(50\) −5.95389 + 3.81461i −0.842007 + 0.539467i
\(51\) 2.34111i 0.327821i
\(52\) 4.17200 5.88170i 0.578552 0.815646i
\(53\) 1.34709 1.34709i 0.185037 0.185037i −0.608509 0.793547i \(-0.708232\pi\)
0.793547 + 0.608509i \(0.208232\pi\)
\(54\) −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
\(58\) 3.97243 8.45015i 0.521605 1.10956i
\(59\) 0.838004i 0.109099i −0.998511 0.0545494i \(-0.982628\pi\)
0.998511 0.0545494i \(-0.0173722\pi\)
\(60\) 3.92424 + 9.00095i 0.506618 + 1.16202i
\(61\) −13.3586 −1.71039 −0.855194 0.518309i \(-0.826562\pi\)
−0.855194 + 0.518309i \(0.826562\pi\)
\(62\) −3.01578 1.41772i −0.383004 0.180051i
\(63\) −5.51629 + 5.51629i −0.694987 + 0.694987i
\(64\) −7.00167 + 3.86997i −0.875208 + 0.483746i
\(65\) −5.59247 5.80726i −0.693661 0.720302i
\(66\) 4.21610 + 11.6968i 0.518966 + 1.43977i
\(67\) −3.69649 3.69649i −0.451599 0.451599i 0.444286 0.895885i \(-0.353457\pi\)
−0.895885 + 0.444286i \(0.853457\pi\)
\(68\) 0.199076 2.12319i 0.0241416 0.257475i
\(69\) 11.6690i 1.40478i
\(70\) −10.1839 8.93586i −1.21720 1.06804i
\(71\) −14.6839 −1.74266 −0.871331 0.490696i \(-0.836743\pi\)
−0.871331 + 0.490696i \(0.836743\pi\)
\(72\) 4.98686 1.28646i 0.587707 0.151610i
\(73\) 5.33956 + 5.33956i 0.624948 + 0.624948i 0.946793 0.321844i \(-0.104303\pi\)
−0.321844 + 0.946793i \(0.604303\pi\)
\(74\) 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
\(78\) −9.18998 + 6.39423i −1.04056 + 0.724004i
\(79\) −3.43974 −0.387000 −0.193500 0.981100i \(-0.561984\pi\)
−0.193500 + 0.981100i \(0.561984\pi\)
\(80\) 2.79357 + 8.49682i 0.312330 + 0.949974i
\(81\) 11.1471 1.23856
\(82\) −3.01586 + 6.41534i −0.333046 + 0.708455i
\(83\) 4.47418 4.47418i 0.491105 0.491105i −0.417549 0.908654i \(-0.637111\pi\)
0.908654 + 0.417549i \(0.137111\pi\)
\(84\) −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
\(88\) 2.82902 + 10.9665i 0.301575 + 1.16903i
\(89\) 6.30698 0.668539 0.334269 0.942478i \(-0.391511\pi\)
0.334269 + 0.942478i \(0.391511\pi\)
\(90\) −0.375042 5.74579i −0.0395329 0.605659i
\(91\) 7.72198 13.3791i 0.809484 1.40251i
\(92\) 0.992272 10.5828i 0.103452 1.10333i
\(93\) 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 \(-0.506485\pi\)
0.999792 + 0.0203728i \(0.00648531\pi\)
\(98\) 6.83245 14.5340i 0.690182 1.46816i
\(99\) 7.29099i 0.732772i
\(100\) 9.91515 1.29991i 0.991515 0.129991i
\(101\) 10.3409 1.02896 0.514479 0.857503i \(-0.327985\pi\)
0.514479 + 0.857503i \(0.327985\pi\)
\(102\) −1.40855 + 2.99626i −0.139467 + 0.296674i
\(103\) −3.33400 3.33400i −0.328509 0.328509i 0.523511 0.852019i \(-0.324622\pi\)
−0.852019 + 0.523511i \(0.824622\pi\)
\(104\) −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 \(-0.928731\pi\)
0.222033 + 0.975039i \(0.428731\pi\)
\(108\) 5.15540 + 0.483384i 0.496078 + 0.0465137i
\(109\) 3.16760 0.303401 0.151701 0.988426i \(-0.451525\pi\)
0.151701 + 0.988426i \(0.451525\pi\)
\(110\) 12.6354 0.824748i 1.20474 0.0786367i
\(111\) −1.41123 −0.133948
\(112\) −14.1595 + 9.65424i −1.33795 + 0.912240i
\(113\) 9.75845 9.75845i 0.917997 0.917997i −0.0788863 0.996884i \(-0.525136\pi\)
0.996884 + 0.0788863i \(0.0251364\pi\)
\(114\) 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
\(117\) 6.34121 1.70005i 0.586245 0.157169i
\(118\) −0.504192 + 1.07252i −0.0464146 + 0.0987332i
\(119\) 4.56825i 0.418771i
\(120\) 0.393062 13.8809i 0.0358815 1.26715i
\(121\) 5.03346 0.457587
\(122\) 17.0969 + 8.03727i 1.54788 + 0.727661i
\(123\) 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 \(-0.714047\pi\)
0.782299 + 0.622904i \(0.214047\pi\)
\(128\) 11.2895 0.740364i 0.997857 0.0654395i
\(129\) 13.4354i 1.18292i
\(130\) 3.66353 + 10.7972i 0.321313 + 0.946973i
\(131\) 1.17643i 0.102785i −0.998679 0.0513926i \(-0.983634\pi\)
0.998679 0.0513926i \(-0.0163660\pi\)
\(132\) 1.64148 17.5067i 0.142872 1.52376i
\(133\) −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 \(-0.744954\pi\)
0.718227 + 0.695809i \(0.244954\pi\)
\(138\) −7.02073 + 14.9345i −0.597645 + 1.27131i
\(139\) −6.48837 −0.550336 −0.275168 0.961396i \(-0.588734\pi\)
−0.275168 + 0.961396i \(0.588734\pi\)
\(140\) 7.65745 + 17.5637i 0.647172 + 1.48441i
\(141\) 12.0233i 1.01255i
\(142\) 18.7932 + 8.83470i 1.57709 + 0.741391i
\(143\) 3.73854 + 13.9448i 0.312632 + 1.16613i
\(144\) −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
\(148\) −1.27987 0.120004i −0.105205 0.00986427i
\(149\) −23.2293 −1.90302 −0.951510 0.307617i \(-0.900468\pi\)
−0.951510 + 0.307617i \(0.900468\pi\)
\(150\) −15.1661 3.32134i −1.23831 0.271187i
\(151\) −6.61940 −0.538679 −0.269340 0.963045i \(-0.586805\pi\)
−0.269340 + 0.963045i \(0.586805\pi\)
\(152\) 11.0079 2.83970i 0.892858 0.230330i
\(153\) 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 0.887706 0.460410i \(-0.152298\pi\)
−0.460410 + 0.887706i \(0.652298\pi\)
\(158\) 4.40233 + 2.06954i 0.350231 + 0.164644i
\(159\) 4.18286 0.331723
\(160\) 1.53684 12.5554i 0.121498 0.992592i
\(161\) 22.7699i 1.79452i
\(162\) −14.2665 6.70671i −1.12088 0.526929i
\(163\) 7.39919 7.39919i 0.579549 0.579549i −0.355230 0.934779i \(-0.615597\pi\)
0.934779 + 0.355230i \(0.115597\pi\)
\(164\) 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 0.868772 0.495213i \(-0.164910\pi\)
−0.495213 + 0.868772i \(0.664910\pi\)
\(168\) 25.7636 6.64621i 1.98770 0.512766i
\(169\) −11.2566 + 6.50306i −0.865889 + 0.500236i
\(170\) 2.53444 + 2.22386i 0.194383 + 0.170562i
\(171\) −7.31850 −0.559660
\(172\) 1.14248 12.1848i 0.0871130 0.929079i
\(173\) −10.9705 + 10.9705i −0.834069 + 0.834069i −0.988071 0.154002i \(-0.950784\pi\)
0.154002 + 0.988071i \(0.450784\pi\)
\(174\) 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
\(178\) −8.07197 3.79464i −0.605020 0.284420i
\(179\) 6.92372 0.517503 0.258752 0.965944i \(-0.416689\pi\)
0.258752 + 0.965944i \(0.416689\pi\)
\(180\) −2.97700 + 7.57937i −0.221892 + 0.564933i
\(181\) 10.6066 0.788380 0.394190 0.919029i \(-0.371025\pi\)
0.394190 + 0.919029i \(0.371025\pi\)
\(182\) −17.9326 + 12.4772i −1.32925 + 0.924870i
\(183\) −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
\(188\) −1.02240 + 10.9041i −0.0745663 + 0.795267i
\(189\) 11.0923 0.806848
\(190\) −0.827860 12.6831i −0.0600593 0.920130i
\(191\) 20.7585i 1.50203i 0.660283 + 0.751017i \(0.270436\pi\)
−0.660283 + 0.751017i \(0.729564\pi\)
\(192\) −16.8788 4.86213i −1.21812 0.350894i
\(193\) 3.53956 + 3.53956i 0.254783 + 0.254783i 0.822928 0.568145i \(-0.192339\pi\)
−0.568145 + 0.822928i \(0.692339\pi\)
\(194\) −18.1493 + 6.54193i −1.30304 + 0.469683i
\(195\) 0.333461 17.6987i 0.0238796 1.26743i
\(196\) −17.4890 + 14.4905i −1.24921 + 1.03504i
\(197\) −17.5499 + 17.5499i −1.25038 + 1.25038i −0.294832 + 0.955549i \(0.595264\pi\)
−0.955549 + 0.294832i \(0.904736\pi\)
\(198\) −4.38668 + 9.33135i −0.311748 + 0.663150i
\(199\) 19.1741 1.35922 0.679608 0.733575i \(-0.262150\pi\)
0.679608 + 0.733575i \(0.262150\pi\)
\(200\) −13.4720 4.30184i −0.952613 0.304186i
\(201\) 11.4780i 0.809596i
\(202\) −13.2348 6.22169i −0.931196 0.437756i
\(203\) −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
\(208\) 14.3817 1.08003i 0.997192 0.0748866i
\(209\) 16.0940i 1.11324i
\(210\) −1.93758 29.6844i −0.133705 2.04842i
\(211\) 20.6999i 1.42504i 0.701653 + 0.712519i \(0.252446\pi\)
−0.701653 + 0.712519i \(0.747554\pi\)
\(212\) 3.79351 + 0.355690i 0.260539 + 0.0244289i
\(213\) −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
\(218\) −4.05405 1.90581i −0.274575 0.129078i
\(219\) 16.5799i 1.12037i
\(220\) −16.6676 6.54666i −1.12373 0.441376i
\(221\) −1.92176 + 3.32964i −0.129272 + 0.223976i
\(222\) 1.80616 + 0.849077i 0.121221 + 0.0569863i
\(223\) −5.91543 + 5.91543i −0.396126 + 0.396126i −0.876864 0.480738i \(-0.840369\pi\)
0.480738 + 0.876864i \(0.340369\pi\)
\(224\) 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 0.687628 0.726063i \(-0.258652\pi\)
−0.726063 + 0.687628i \(0.758652\pi\)
\(228\) −17.5728 1.64767i −1.16378 0.109120i
\(229\) 5.64962 0.373337 0.186669 0.982423i \(-0.440231\pi\)
0.186669 + 0.982423i \(0.440231\pi\)
\(230\) 12.6326 + 11.0846i 0.832972 + 0.730894i
\(231\) 37.6673i 2.47833i
\(232\) 18.0826 4.66476i 1.18718 0.306257i
\(233\) −5.44699 + 5.44699i −0.356844 + 0.356844i −0.862648 0.505804i \(-0.831196\pi\)
0.505804 + 0.862648i \(0.331196\pi\)
\(234\) −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
\(238\) −2.74852 + 5.84666i −0.178160 + 0.378983i
\(239\) 1.73850i 0.112454i −0.998418 0.0562272i \(-0.982093\pi\)
0.998418 0.0562272i \(-0.0179071\pi\)
\(240\) −8.85460 + 17.5289i −0.571562 + 1.13149i
\(241\) 1.91871i 0.123595i 0.998089 + 0.0617976i \(0.0196833\pi\)
−0.998089 + 0.0617976i \(0.980317\pi\)
\(242\) −6.44206 3.02842i −0.414111 0.194674i
\(243\) 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
\(247\) 13.9975 3.75265i 0.890636 0.238775i
\(248\) −1.66481 6.45351i −0.105715 0.409798i
\(249\) 13.8928 0.880421
\(250\) −7.52994 + 13.9032i −0.476235 + 0.879318i
\(251\) 28.0828i 1.77257i −0.463139 0.886285i \(-0.653277\pi\)
0.463139 0.886285i \(-0.346723\pi\)
\(252\) −15.5343 1.45654i −0.978569 0.0917532i
\(253\) 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 0.988310 0.152456i \(-0.0487183\pi\)
−0.152456 + 0.988310i \(0.548718\pi\)
\(258\) −8.08348 + 17.1952i −0.503256 + 1.07053i
\(259\) −2.75376 −0.171110
\(260\) 1.80743 16.0229i 0.112092 0.993698i
\(261\) −12.0221 −0.744147
\(262\) −0.707809 + 1.50565i −0.0437286 + 0.0930195i
\(263\) 5.22835 + 5.22835i 0.322394 + 0.322394i 0.849685 0.527291i \(-0.176792\pi\)
−0.527291 + 0.849685i \(0.676792\pi\)
\(264\) −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
\(268\) 0.976032 10.4096i 0.0596207 0.635868i
\(269\) 5.29424i 0.322796i 0.986889 + 0.161398i \(0.0516002\pi\)
−0.986889 + 0.161398i \(0.948400\pi\)
\(270\) −5.39983 + 6.15397i −0.328623 + 0.374519i
\(271\) 20.2679 1.23119 0.615594 0.788063i \(-0.288916\pi\)
0.615594 + 0.788063i \(0.288916\pi\)
\(272\) 3.52387 2.40264i 0.213666 0.145681i
\(273\) 32.7605 8.78293i 1.98276 0.531567i
\(274\) −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 0.0365721 0.999331i \(-0.488356\pi\)
−0.999331 + 0.0365721i \(0.988356\pi\)
\(278\) 8.30412 + 3.90378i 0.498048 + 0.234133i
\(279\) 4.29056i 0.256869i
\(280\) 0.766990 27.0860i 0.0458364 1.61870i
\(281\) 15.1928i 0.906329i 0.891427 + 0.453164i \(0.149705\pi\)
−0.891427 + 0.453164i \(0.850295\pi\)
\(282\) 7.23391 15.3880i 0.430773 0.916342i
\(283\) −13.4327 13.4327i −0.798488 0.798488i 0.184369 0.982857i \(-0.440976\pi\)
−0.982857 + 0.184369i \(0.940976\pi\)
\(284\) −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
\(288\) 8.34454 + 6.03852i 0.491707 + 0.355823i
\(289\) 15.8631i 0.933124i
\(290\) −1.35992 20.8345i −0.0798574 1.22344i
\(291\) 29.9524 1.75584
\(292\) −1.40987 + 15.0366i −0.0825065 + 0.879951i
\(293\) 8.51447 + 8.51447i 0.497421 + 0.497421i 0.910634 0.413213i \(-0.135594\pi\)
−0.413213 + 0.910634i \(0.635594\pi\)
\(294\) 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
\(298\) 29.7300 + 13.9761i 1.72221 + 0.809614i
\(299\) −9.57880 + 16.5962i −0.553956 + 0.959782i
\(300\) 17.4120 + 13.3756i 1.00528 + 0.772242i
\(301\) 26.2167i 1.51110i
\(302\) 8.47182 + 3.98261i 0.487499 + 0.229174i
\(303\) 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 0.491045 0.871134i \(-0.336615\pi\)
−0.871134 + 0.491045i \(0.836615\pi\)
\(308\) 3.20304 34.1612i 0.182510 1.94651i
\(309\) 10.3524i 0.588929i
\(310\) −7.43563 + 0.485343i −0.422316 + 0.0275656i
\(311\) 18.3677i 1.04154i 0.853698 + 0.520768i \(0.174354\pi\)
−0.853698 + 0.520768i \(0.825646\pi\)
\(312\) −21.5741 5.99397i −1.22139 0.339342i
\(313\) −1.25695 + 1.25695i −0.0710469 + 0.0710469i −0.741737 0.670690i \(-0.765998\pi\)
0.670690 + 0.741737i \(0.265998\pi\)
\(314\) −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 \(-0.746147\pi\)
0.715614 + 0.698496i \(0.246147\pi\)
\(318\) −5.35342 2.51665i −0.300205 0.141127i
\(319\) 26.4375i 1.48022i
\(320\) −9.52097 + 15.1443i −0.532238 + 0.846595i
\(321\) −24.1862 −1.34994
\(322\) −13.6997 + 29.1420i −0.763454 + 1.62402i
\(323\) 3.03036 3.03036i 0.168614 0.168614i
\(324\) 14.2238 + 17.1671i 0.790213 + 0.953730i
\(325\) −17.2246 5.32090i −0.955451 0.295151i
\(326\) −13.9216 + 5.01805i −0.771046 + 0.277924i
\(327\) 4.91787 + 4.91787i 0.271959 + 0.271959i
\(328\) −13.7283 + 3.54148i −0.758017 + 0.195545i
\(329\) 23.4613i 1.29346i
\(330\) 20.8977 + 18.3367i 1.15038 + 1.00940i
\(331\) −1.54670 −0.0850143 −0.0425071 0.999096i \(-0.513535\pi\)
−0.0425071 + 0.999096i \(0.513535\pi\)
\(332\) 12.5996 + 1.18138i 0.691495 + 0.0648364i
\(333\) −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 0.983587 + 0.180434i \(0.0577502\pi\)
0.180434 + 0.983587i \(0.442250\pi\)
\(338\) 18.3193 1.55033i 0.996438 0.0843270i
\(339\) 30.3010 1.64573
\(340\) −1.90570 4.37107i −0.103351 0.237054i
\(341\) −9.43528 −0.510949
\(342\) 9.36656 + 4.40323i 0.506485 + 0.238099i
\(343\) −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 \(-0.955536\pi\)
0.139235 + 0.990259i \(0.455536\pi\)
\(348\) −28.8667 2.70662i −1.54742 0.145090i
\(349\) −5.85768 −0.313554 −0.156777 0.987634i \(-0.550110\pi\)
−0.156777 + 0.987634i \(0.550110\pi\)
\(350\) −29.5939 6.48100i −1.58186 0.346424i
\(351\) −8.08480 4.66630i −0.431535 0.249068i
\(352\) −13.2792 + 18.3503i −0.707783 + 0.978075i
\(353\) −11.5440 11.5440i −0.614427 0.614427i 0.329669 0.944096i \(-0.393063\pi\)
−0.944096 + 0.329669i \(0.893063\pi\)
\(354\) −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
\(358\) −8.86130 4.16571i −0.468334 0.220164i
\(359\) 10.8120i 0.570635i 0.958433 + 0.285317i \(0.0920990\pi\)
−0.958433 + 0.285317i \(0.907901\pi\)
\(360\) 8.37029 7.90930i 0.441153 0.416857i
\(361\) 2.84531 0.149753
\(362\) −13.5748 6.38152i −0.713475 0.335405i
\(363\) 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 \(-0.670536\pi\)
0.859883 + 0.510491i \(0.170536\pi\)
\(368\) 17.5643 11.9757i 0.915603 0.624275i
\(369\) 9.12713 0.475139
\(370\) 1.34055 1.52777i 0.0696919 0.0794251i
\(371\) 8.16210 0.423755
\(372\) −0.965966 + 10.3022i −0.0500830 + 0.534147i
\(373\) 26.8369 26.8369i 1.38956 1.38956i 0.563337 0.826227i \(-0.309517\pi\)
0.826227 0.563337i \(-0.190483\pi\)
\(374\) −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
\(377\) 22.9936 6.16446i 1.18423 0.317486i
\(378\) −14.1965 6.67378i −0.730188 0.343262i
\(379\) 6.51205i 0.334501i 0.985914 + 0.167251i \(0.0534889\pi\)
−0.985914 + 0.167251i \(0.946511\pi\)
\(380\) −6.57136 + 16.7305i −0.337104 + 0.858259i
\(381\) 5.57768 0.285753
\(382\) 12.4895 26.5677i 0.639020 1.35932i
\(383\) 6.37394 6.37394i 0.325693 0.325693i −0.525253 0.850946i \(-0.676029\pi\)
0.850946 + 0.525253i \(0.176029\pi\)
\(384\) 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
\(388\) 27.1643 + 2.54700i 1.37906 + 0.129304i
\(389\) 31.2025i 1.58203i 0.611797 + 0.791015i \(0.290447\pi\)
−0.611797 + 0.791015i \(0.709553\pi\)
\(390\) −11.0753 + 22.4510i −0.560821 + 1.13685i
\(391\) 5.66672i 0.286578i
\(392\) 31.1016 8.02325i 1.57087 0.405235i
\(393\) 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 \(-0.841171\pi\)
0.478526 + 0.878073i \(0.341171\pi\)
\(398\) −24.5399 11.5362i −1.23007 0.578260i
\(399\) −37.8095 −1.89284
\(400\) 14.6538 + 13.6112i 0.732692 + 0.680560i
\(401\) 34.8531i 1.74048i −0.492629 0.870239i \(-0.663964\pi\)
0.492629 0.870239i \(-0.336036\pi\)
\(402\) −6.90583 + 14.6901i −0.344431 + 0.732675i
\(403\) −2.20003 8.20617i −0.109592 0.408779i
\(404\) 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
\(408\) −6.41175 + 1.65403i −0.317429 + 0.0818869i
\(409\) 21.4960 1.06291 0.531454 0.847087i \(-0.321646\pi\)
0.531454 + 0.847087i \(0.321646\pi\)
\(410\) 1.03245 + 15.8175i 0.0509891 + 0.781171i
\(411\) 0.814745 0.0401884
\(412\) 0.880319 9.38879i 0.0433702 0.462553i
\(413\) 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
\(418\) −9.68305 + 20.5978i −0.473614 + 1.00747i
\(419\) −14.2968 −0.698445 −0.349222 0.937040i \(-0.613554\pi\)
−0.349222 + 0.937040i \(0.613554\pi\)
\(420\) −15.3800 + 39.1572i −0.750469 + 1.91068i
\(421\) 33.3634i 1.62603i 0.582241 + 0.813016i \(0.302176\pi\)
−0.582241 + 0.813016i \(0.697824\pi\)
\(422\) 12.4542 26.4927i 0.606263 1.28964i
\(423\) −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
\(428\) −21.9349 2.05667i −1.06026 0.0994130i
\(429\) −15.8458 + 27.4544i −0.765043 + 1.32551i
\(430\) 14.5449 + 12.7625i 0.701417 + 0.615461i
\(431\) 3.59162 0.173002 0.0865011 0.996252i \(-0.472431\pi\)
0.0865011 + 0.996252i \(0.472431\pi\)
\(432\) 5.83393 + 8.55643i 0.280685 + 0.411671i
\(433\) −13.7981 + 13.7981i −0.663094 + 0.663094i −0.956108 0.293014i \(-0.905342\pi\)
0.293014 + 0.956108i \(0.405342\pi\)
\(434\) −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
\(438\) 9.97542 21.2197i 0.476644 1.01392i
\(439\) 17.0950 0.815898 0.407949 0.913005i \(-0.366244\pi\)
0.407949 + 0.913005i \(0.366244\pi\)
\(440\) 17.3932 + 18.4069i 0.829188 + 0.877516i
\(441\) −20.6776 −0.984647
\(442\) 4.46286 3.10518i 0.212277 0.147698i
\(443\) −1.06840 1.06840i −0.0507610 0.0507610i 0.681271 0.732032i \(-0.261428\pi\)
−0.732032 + 0.681271i \(0.761428\pi\)
\(444\) −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
\(448\) −32.9359 9.48755i −1.55608 0.448245i
\(449\) 8.23041 0.388417 0.194208 0.980960i \(-0.437786\pi\)
0.194208 + 0.980960i \(0.437786\pi\)
\(450\) −6.94580 10.8411i −0.327428 0.511054i
\(451\) 20.0713i 0.945120i
\(452\) 27.4805 + 2.57665i 1.29257 + 0.121195i
\(453\) −10.2770 10.2770i −0.482855 0.482855i
\(454\) 0.392724 + 1.08954i 0.0184315 + 0.0511345i
\(455\) 0.650689 34.5358i 0.0305048 1.61906i
\(456\) 21.4991 + 12.6816i 1.00679 + 0.593868i
\(457\) −12.8554 + 12.8554i −0.601350 + 0.601350i −0.940671 0.339321i \(-0.889803\pi\)
0.339321 + 0.940671i \(0.389803\pi\)
\(458\) −7.23064 3.39913i −0.337866 0.158831i
\(459\) −2.76053 −0.128851
\(460\) −9.49874 21.7871i −0.442881 1.01583i
\(461\) 14.8290i 0.690654i 0.938482 + 0.345327i \(0.112232\pi\)
−0.938482 + 0.345327i \(0.887768\pi\)
\(462\) −22.6628 + 48.2084i −1.05437 + 2.24286i
\(463\) 19.1031 19.1031i 0.887795 0.887795i −0.106516 0.994311i \(-0.533969\pi\)
0.994311 + 0.106516i \(0.0339694\pi\)
\(464\) −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 \(-0.721636\pi\)
0.767227 + 0.641376i \(0.221636\pi\)
\(468\) 10.7097 + 7.59655i 0.495054 + 0.351151i
\(469\) 22.3972i 1.03421i
\(470\) −13.0162 11.4211i −0.600394 0.526818i
\(471\) 16.6248i 0.766028i
\(472\) −2.29510 + 0.592064i −0.105640 + 0.0272520i
\(473\) 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
\(478\) −1.04598 + 2.22502i −0.0478422 + 0.101770i
\(479\) 13.9163i 0.635854i 0.948115 + 0.317927i \(0.102987\pi\)
−0.948115 + 0.317927i \(0.897013\pi\)
\(480\) 21.8790 17.1069i 0.998633 0.780820i
\(481\) 2.00712 + 1.15845i 0.0915167 + 0.0528206i
\(482\) 1.15441 2.45566i 0.0525818 0.111852i
\(483\) 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 0.950088 0.311983i \(-0.100993\pi\)
−0.311983 + 0.950088i \(0.600993\pi\)
\(488\) 9.43805 + 36.5859i 0.427240 + 1.65617i
\(489\) 22.9753 1.03898
\(490\) −2.33903 35.8347i −0.105666 1.61885i
\(491\) 5.72122i 0.258195i −0.991632 0.129097i \(-0.958792\pi\)
0.991632 0.129097i \(-0.0412080\pi\)
\(492\) 21.9155 + 2.05486i 0.988029 + 0.0926402i
\(493\) 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
\(498\) −17.7807 8.35872i −0.796771 0.374563i
\(499\) 18.6310i 0.834040i 0.908897 + 0.417020i \(0.136926\pi\)
−0.908897 + 0.417020i \(0.863074\pi\)
\(500\) 18.0022 13.2636i 0.805081 0.593165i
\(501\) 14.9897i 0.669692i
\(502\) −16.8962 + 35.9417i −0.754116 + 1.60416i
\(503\) 7.95573 + 7.95573i 0.354728 + 0.354728i 0.861865 0.507137i \(-0.169296\pi\)
−0.507137 + 0.861865i \(0.669296\pi\)
\(504\) 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
\(507\) −27.5728 7.38006i −1.22455 0.327760i
\(508\) 5.05849 + 0.474298i 0.224434 + 0.0210436i
\(509\) −4.08878 −0.181232 −0.0906160 0.995886i \(-0.528884\pi\)
−0.0906160 + 0.995886i \(0.528884\pi\)
\(510\) 0.482203 + 7.38752i 0.0213523 + 0.327125i
\(511\) 32.3527i 1.43120i
\(512\) 15.5457 + 16.4417i 0.687031 + 0.726628i
\(513\) 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
\(518\) 3.52439 + 1.65682i 0.154853 + 0.0727965i
\(519\) −34.0645 −1.49526
\(520\) −11.9535 + 19.4194i −0.524197 + 0.851597i
\(521\) 14.0359 0.614924 0.307462 0.951560i \(-0.400520\pi\)
0.307462 + 0.951560i \(0.400520\pi\)
\(522\) 15.3864 + 7.23317i 0.673445 + 0.316587i
\(523\) −13.6052 13.6052i −0.594912 0.594912i 0.344042 0.938954i \(-0.388204\pi\)
−0.938954 + 0.344042i \(0.888204\pi\)
\(524\) 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
\(528\) 29.0559 19.8109i 1.26450 0.862158i
\(529\) 5.24510i 0.228048i
\(530\) −3.97337 + 4.52829i −0.172592 + 0.196697i
\(531\) 1.52587 0.0662173
\(532\) −34.2901 3.21513i −1.48666 0.139393i
\(533\) −17.4567 + 4.68004i −0.756132 + 0.202715i
\(534\) −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
\(538\) 3.18532 6.77582i 0.137329 0.292126i
\(539\) 45.4717i 1.95860i
\(540\) 10.6135 4.62730i 0.456734 0.199127i
\(541\) 20.5892i 0.885200i 0.896719 + 0.442600i \(0.145944\pi\)
−0.896719 + 0.442600i \(0.854056\pi\)
\(542\) −25.9398 12.1943i −1.11421 0.523792i
\(543\) 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 0.198387 0.980124i \(-0.436430\pi\)
0.980124 0.198387i \(-0.0635702\pi\)
\(548\) 0.738906 + 0.0692819i 0.0315645 + 0.00295957i
\(549\) 24.3238i 1.03812i
\(550\) 23.8404 15.2744i 1.01656 0.651302i
\(551\) −26.5373 −1.13052
\(552\) −31.9586 + 8.24434i −1.36025 + 0.350902i
\(553\) −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 \(-0.604696\pi\)
0.946395 + 0.323012i \(0.104696\pi\)
\(558\) 2.58145 5.49126i 0.109281 0.232463i
\(559\) −11.0288 + 19.1084i −0.466467 + 0.808199i
\(560\) −17.2782 + 34.2045i −0.730135 + 1.44541i
\(561\) 9.37423i 0.395780i
\(562\) 9.14088 19.4445i 0.385585 0.820217i
\(563\) 9.04527 + 9.04527i 0.381213 + 0.381213i 0.871539 0.490326i \(-0.163122\pi\)
−0.490326 + 0.871539i \(0.663122\pi\)
\(564\) −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
\(568\) 10.3745 + 40.2158i 0.435302 + 1.68742i
\(569\) 16.7114i 0.700577i −0.936642 0.350289i \(-0.886083\pi\)
0.936642 0.350289i \(-0.113917\pi\)
\(570\) 18.4059 20.9765i 0.770939 0.878610i
\(571\) 12.2500i 0.512646i −0.966591 0.256323i \(-0.917489\pi\)
0.966591 0.256323i \(-0.0825111\pi\)
\(572\) −16.7054 + 23.5514i −0.698489 + 0.984734i
\(573\) −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 −0.229473 + 0.973315i \(0.573700\pi\)
−0.973315 + 0.229473i \(0.926300\pi\)
\(578\) −9.54416 + 20.3023i −0.396985 + 0.844466i
\(579\) 10.9907i 0.456758i
\(580\) −10.7948 + 27.4832i −0.448228 + 1.14118i
\(581\) 27.1093 1.12468
\(582\) −38.3344 18.0211i −1.58901 0.746997i
\(583\) −5.39400 + 5.39400i −0.223397 + 0.223397i
\(584\) 10.8513 18.3963i 0.449030 0.761244i
\(585\) 10.5741 10.1830i 0.437185 0.421016i
\(586\) −5.77442 16.0200i −0.238539 0.661781i
\(587\) −4.79794 4.79794i −0.198032 0.198032i 0.601124 0.799156i \(-0.294720\pi\)
−0.799156 + 0.601124i \(0.794720\pi\)
\(588\) −49.6499 4.65531i −2.04753 0.191982i
\(589\) 9.47088i 0.390241i
\(590\) 0.172605 + 2.64437i 0.00710604 + 0.108867i
\(591\) −54.4944 −2.24160
\(592\) −1.44832 2.12420i −0.0595256 0.0873041i
\(593\) 14.6931 + 14.6931i 0.603373 + 0.603373i 0.941206 0.337833i \(-0.109694\pi\)
−0.337833 + 0.941206i \(0.609694\pi\)
\(594\) 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
\(598\) 22.2446 15.4774i 0.909650 0.632918i
\(599\) −38.2891 −1.56445 −0.782226 0.622995i \(-0.785916\pi\)
−0.782226 + 0.622995i \(0.785916\pi\)
\(600\) −14.2371 27.5948i −0.581229 1.12655i
\(601\) −16.2330 −0.662159 −0.331079 0.943603i \(-0.607413\pi\)
−0.331079 + 0.943603i \(0.607413\pi\)
\(602\) −15.7735 + 33.5533i −0.642878 + 1.36753i
\(603\) 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 \(-0.808367\pi\)
0.566318 + 0.824187i \(0.308367\pi\)
\(608\) 18.4196 + 13.3293i 0.747011 + 0.540575i
\(609\) −62.1095 −2.51680
\(610\) 42.1537 2.75148i 1.70676 0.111404i
\(611\) 9.86965 17.1001i 0.399283 0.691796i
\(612\) 3.86600 + 0.362487i 0.156274 + 0.0146527i
\(613\) −31.3456 31.3456i −1.26604 1.26604i −0.948118 0.317920i \(-0.897016\pi\)
−0.317920 0.948118i \(-0.602984\pi\)
\(614\) 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 \(-0.665115\pi\)
0.868452 + 0.495773i \(0.165115\pi\)
\(618\) −6.22861 + 13.2495i −0.250552 + 0.532974i
\(619\) 45.3844i 1.82415i −0.410019 0.912077i \(-0.634478\pi\)
0.410019 0.912077i \(-0.365522\pi\)
\(620\) 9.80848 + 3.85254i 0.393918 + 0.154722i
\(621\) −13.7596 −0.552152
\(622\) 11.0510 23.5078i 0.443107 0.942577i
\(623\) 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
\(628\) −1.41369 + 15.0773i −0.0564122 + 0.601649i
\(629\) 0.685325 0.0273257
\(630\) 16.2708 18.5432i 0.648244 0.738779i
\(631\) −6.06716 −0.241530 −0.120765 0.992681i \(-0.538535\pi\)
−0.120765 + 0.992681i \(0.538535\pi\)
\(632\) 2.43023 + 9.42063i 0.0966695 + 0.374732i
\(633\) −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
\(637\) 39.5482 10.6027i 1.56696 0.420094i
\(638\) −15.9063 + 33.8359i −0.629737 + 1.33958i
\(639\) 26.7371i 1.05771i
\(640\) 21.2971 13.6541i 0.841841 0.539725i
\(641\) −3.06840 −0.121195 −0.0605973 0.998162i \(-0.519301\pi\)
−0.0605973 + 0.998162i \(0.519301\pi\)
\(642\) 30.9546 + 14.5518i 1.22168 + 0.574314i
\(643\) −10.4791 + 10.4791i −0.413254 + 0.413254i −0.882870 0.469617i \(-0.844392\pi\)
0.469617 + 0.882870i \(0.344392\pi\)
\(644\) 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 \(-0.522953\pi\)
0.997401 + 0.0720455i \(0.0229527\pi\)
\(648\) −7.87559 30.5292i −0.309382 1.19930i
\(649\) 3.35552i 0.131716i
\(650\) 18.8435 + 17.1733i 0.739104 + 0.673591i
\(651\) 22.1662i 0.868764i
\(652\) 20.8367 + 1.95370i 0.816027 + 0.0765129i
\(653\) −20.8321 + 20.8321i −0.815224 + 0.815224i −0.985412 0.170187i \(-0.945563\pi\)
0.170187 + 0.985412i \(0.445563\pi\)
\(654\) −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
\(658\) 14.1157 30.0269i 0.550286 1.17057i
\(659\) 15.2442 0.593831 0.296916 0.954904i \(-0.404042\pi\)
0.296916 + 0.954904i \(0.404042\pi\)
\(660\) −15.7134 36.0414i −0.611642 1.40291i
\(661\) 11.3087i 0.439857i 0.975516 + 0.219929i \(0.0705825\pi\)
−0.975516 + 0.219929i \(0.929418\pi\)
\(662\) 1.97954 + 0.930583i 0.0769369 + 0.0361681i
\(663\) −8.15307 + 2.18580i −0.316639 + 0.0848894i
\(664\) −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
\(668\) −1.27465 + 13.5945i −0.0493178 + 0.525985i
\(669\) −18.3680 −0.710149
\(670\) 12.4259 + 10.9031i 0.480054 + 0.421225i
\(671\) 53.4901 2.06496
\(672\) 43.1103 + 31.1967i 1.66302 + 1.20344i
\(673\) 3.84495 3.84495i 0.148212 0.148212i −0.629107 0.777319i \(-0.716579\pi\)
0.777319 + 0.629107i \(0.216579\pi\)
\(674\) −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 0.0795281 0.996833i \(-0.474659\pi\)
−0.996833 + 0.0795281i \(0.974659\pi\)
\(678\) −38.7807 18.2308i −1.48936 0.700151i
\(679\) 58.4466 2.24297
\(680\) −0.190880 + 6.74087i −0.00731991 + 0.258501i
\(681\) 1.79810i 0.0689033i
\(682\) 12.0757 + 5.67681i 0.462403 + 0.217376i
\(683\) −8.50618 + 8.50618i −0.325480 + 0.325480i −0.850865 0.525385i \(-0.823921\pi\)
0.525385 + 0.850865i \(0.323921\pi\)
\(684\) −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
\(688\) 20.2231 13.7885i 0.770997 0.525681i
\(689\) −5.94906 3.43361i −0.226641 0.130810i
\(690\) 2.40348 + 36.8222i 0.0914990 + 1.40180i
\(691\) −30.9634 −1.17790 −0.588952 0.808168i \(-0.700459\pi\)
−0.588952 + 0.808168i \(0.700459\pi\)
\(692\) −30.8936 2.89667i −1.17440 0.110115i
\(693\) 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
\(698\) 7.49693 + 3.52432i 0.283763 + 0.133397i
\(699\) −16.9135 −0.639727
\(700\) 33.9763 + 26.1001i 1.28418 + 0.986490i
\(701\) −15.6776 −0.592134 −0.296067 0.955167i \(-0.595675\pi\)
−0.296067 + 0.955167i \(0.595675\pi\)
\(702\) 7.53980 + 10.8364i 0.284571 + 0.408995i
\(703\) −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
\(708\) 3.66384 + 0.343532i 0.137696 + 0.0129107i
\(709\) −4.38017 −0.164501 −0.0822504 0.996612i \(-0.526211\pi\)
−0.0822504 + 0.996612i \(0.526211\pi\)
\(710\) 46.3361 3.02448i 1.73896 0.113507i
\(711\) 6.26322i 0.234889i
\(712\) −4.45599 17.2733i −0.166995 0.647346i
\(713\) −8.85519 8.85519i −0.331629 0.331629i
\(714\) −13.3445 + 4.81003i −0.499405 + 0.180011i
\(715\) 22.3933 + 23.2533i 0.837461 + 0.869624i
\(716\) 8.83478 + 10.6629i 0.330171 + 0.398493i
\(717\) 2.69912 2.69912i 0.100800 0.100800i
\(718\) 6.50511 13.8377i 0.242769 0.516418i
\(719\) −42.2331 −1.57503 −0.787514 0.616297i \(-0.788632\pi\)
−0.787514 + 0.616297i \(0.788632\pi\)
\(720\) −15.4714 + 5.08665i −0.576584 + 0.189568i
\(721\) 20.2009i 0.752320i
\(722\) −3.64156 1.71190i −0.135525 0.0637104i
\(723\) −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 −0.145836 + 0.989309i \(0.546587\pi\)
−0.989309 + 0.145836i \(0.953413\pi\)
\(728\) −42.0979 11.6962i −1.56025 0.433488i
\(729\) 3.24346i 0.120128i
\(730\) −17.9491 15.7495i −0.664327 0.582916i
\(731\) 6.52451i 0.241318i
\(732\) 5.47621 58.4050i 0.202407 2.15871i
\(733\) −19.4882 19.4882i −0.719813 0.719813i 0.248753 0.968567i \(-0.419979\pi\)
−0.968567 + 0.248753i \(0.919979\pi\)
\(734\) −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
\(738\) −11.6813 5.49140i −0.429995 0.202141i
\(739\) 22.6467i 0.833073i 0.909119 + 0.416536i \(0.136756\pi\)
−0.909119 + 0.416536i \(0.863244\pi\)
\(740\) −2.63490 + 1.14876i −0.0968607 + 0.0422294i
\(741\) 27.5580 + 15.9056i 1.01237 + 0.584307i
\(742\) −10.4462 4.91079i −0.383493 0.180281i
\(743\) 32.8872 32.8872i 1.20651 1.20651i 0.234365 0.972149i \(-0.424699\pi\)
0.972149 0.234365i \(-0.0753011\pi\)
\(744\) 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
\(748\) −0.797138 + 8.50165i −0.0291462 + 0.310851i
\(749\) −47.1949 −1.72447
\(750\) −33.2762 + 9.89488i −1.21507 + 0.361310i
\(751\) 42.2764i 1.54269i 0.636420 + 0.771343i \(0.280415\pi\)
−0.636420 + 0.771343i \(0.719585\pi\)
\(752\) −18.0976 + 12.3393i −0.659953 + 0.449968i
\(753\) 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 0.999989 0.00466596i \(-0.00148523\pi\)
−0.00466596 + 0.999989i \(0.501485\pi\)
\(758\) 3.91802 8.33442i 0.142309 0.302720i
\(759\) 46.7247i 1.69600i
\(760\) 18.4764 17.4588i 0.670209 0.633298i
\(761\) 10.3952i 0.376826i −0.982090 0.188413i \(-0.939666\pi\)
0.982090 0.188413i \(-0.0603344\pi\)
\(762\) −7.13857 3.35585i −0.258603 0.121570i
\(763\) 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
\(767\) −2.91841 + 0.782410i −0.105378 + 0.0282512i
\(768\) −14.0497 32.1985i −0.506973 1.16186i
\(769\) 54.0884 1.95048 0.975239 0.221153i \(-0.0709820\pi\)
0.975239 + 0.221153i \(0.0709820\pi\)
\(770\) 40.7780 + 35.7808i 1.46954 + 1.28945i
\(771\) 41.6077i 1.49846i
\(772\) −0.934594 + 9.96765i −0.0336368 + 0.358744i
\(773\) 17.8837 + 17.8837i 0.643231 + 0.643231i 0.951348 0.308117i \(-0.0996988\pi\)
−0.308117 + 0.951348i \(0.599699\pi\)
\(774\) −14.8235 + 5.34314i −0.532820 + 0.192055i
\(775\) 6.27377 9.97247i 0.225361 0.358222i