Properties

Label 546.2.ch.a.305.31
Level $546$
Weight $2$
Character 546.305
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.ch (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 305.31
Character \(\chi\) \(=\) 546.305
Dual form 546.2.ch.a.401.31

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 + 0.707107i) q^{2} +(0.717647 - 1.57638i) q^{3} +1.00000i q^{4} +(0.882438 - 3.29330i) q^{5} +(1.62212 - 0.607218i) q^{6} +(-2.36601 - 1.18406i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-1.96997 - 2.26257i) q^{9} +O(q^{10})\) \(q+(0.707107 + 0.707107i) q^{2} +(0.717647 - 1.57638i) q^{3} +1.00000i q^{4} +(0.882438 - 3.29330i) q^{5} +(1.62212 - 0.607218i) q^{6} +(-2.36601 - 1.18406i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-1.96997 - 2.26257i) q^{9} +(2.95270 - 1.70474i) q^{10} +(-2.62899 - 0.704437i) q^{11} +(1.57638 + 0.717647i) q^{12} +(0.963919 + 3.47431i) q^{13} +(-0.835764 - 2.51028i) q^{14} +(-4.55823 - 3.75449i) q^{15} -1.00000 q^{16} +5.38527 q^{17} +(0.206904 - 2.99286i) q^{18} +(-1.50899 - 5.63163i) q^{19} +(3.29330 + 0.882438i) q^{20} +(-3.56449 + 2.88000i) q^{21} +(-1.36087 - 2.35709i) q^{22} -1.74460 q^{23} +(0.607218 + 1.62212i) q^{24} +(-5.73702 - 3.31227i) q^{25} +(-1.77512 + 3.13831i) q^{26} +(-4.98042 + 1.48169i) q^{27} +(1.18406 - 2.36601i) q^{28} +(7.19866 + 4.15615i) q^{29} +(-0.568330 - 5.87798i) q^{30} +(0.302238 + 1.12797i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-2.99715 + 3.63876i) q^{33} +(3.80796 + 3.80796i) q^{34} +(-5.98733 + 6.74713i) q^{35} +(2.26257 - 1.96997i) q^{36} +(-3.35202 - 3.35202i) q^{37} +(2.91515 - 5.04918i) q^{38} +(6.16860 + 0.973824i) q^{39} +(1.70474 + 2.95270i) q^{40} +(1.36866 - 0.366731i) q^{41} +(-4.55694 - 0.484009i) q^{42} +(8.98015 - 5.18469i) q^{43} +(0.704437 - 2.62899i) q^{44} +(-9.18971 + 4.49112i) q^{45} +(-1.23362 - 1.23362i) q^{46} +(12.4684 + 3.34090i) q^{47} +(-0.717647 + 1.57638i) q^{48} +(4.19600 + 5.60300i) q^{49} +(-1.71456 - 6.39882i) q^{50} +(3.86472 - 8.48925i) q^{51} +(-3.47431 + 0.963919i) q^{52} +(3.31796 + 1.91563i) q^{53} +(-4.56940 - 2.47397i) q^{54} +(-4.63985 + 8.03645i) q^{55} +(2.51028 - 0.835764i) q^{56} +(-9.96053 - 1.66277i) q^{57} +(2.15138 + 8.02906i) q^{58} +(-0.350102 + 0.350102i) q^{59} +(3.75449 - 4.55823i) q^{60} +(6.12196 - 10.6036i) q^{61} +(-0.583879 + 1.01131i) q^{62} +(1.98194 + 7.68583i) q^{63} -1.00000i q^{64} +(12.2926 - 0.108612i) q^{65} +(-4.69230 + 0.453689i) q^{66} +(-0.546909 - 0.146544i) q^{67} +5.38527i q^{68} +(-1.25201 + 2.75016i) q^{69} +(-9.00462 + 0.537260i) q^{70} +(2.45699 - 9.16961i) q^{71} +(2.99286 + 0.206904i) q^{72} +(-13.2059 + 3.53850i) q^{73} -4.74047i q^{74} +(-9.33857 + 6.66671i) q^{75} +(5.63163 - 1.50899i) q^{76} +(5.38613 + 4.77959i) q^{77} +(3.67326 + 5.05046i) q^{78} +(-0.696028 - 1.20556i) q^{79} +(-0.882438 + 3.29330i) q^{80} +(-1.23847 + 8.91438i) q^{81} +(1.22711 + 0.708471i) q^{82} +(2.65022 + 2.65022i) q^{83} +(-2.88000 - 3.56449i) q^{84} +(4.75217 - 17.7353i) q^{85} +(10.0161 + 2.68379i) q^{86} +(11.7178 - 8.36520i) q^{87} +(2.35709 - 1.36087i) q^{88} +(-9.70244 + 9.70244i) q^{89} +(-9.67381 - 3.32241i) q^{90} +(1.83316 - 9.36160i) q^{91} -1.74460i q^{92} +(1.99501 + 0.333040i) q^{93} +(6.45412 + 11.1789i) q^{94} -19.8783 q^{95} +(-1.62212 + 0.607218i) q^{96} +(12.8615 + 3.44622i) q^{97} +(-0.994895 + 6.92894i) q^{98} +(3.58519 + 7.33601i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 8q^{7} + O(q^{10}) \) \( 152q + 8q^{7} - 152q^{16} - 8q^{18} + 36q^{19} + 8q^{21} + 24q^{27} - 12q^{28} - 24q^{30} - 36q^{31} + 12q^{33} + 24q^{36} - 12q^{37} - 8q^{39} - 36q^{42} + 84q^{43} - 40q^{45} + 8q^{46} + 4q^{49} - 20q^{52} - 12q^{54} + 16q^{55} - 8q^{57} + 8q^{58} + 24q^{60} - 32q^{61} - 28q^{63} + 16q^{66} + 92q^{67} + 84q^{69} - 8q^{72} + 84q^{73} - 48q^{76} - 8q^{78} + 32q^{79} - 24q^{81} - 48q^{82} - 8q^{84} - 152q^{85} - 96q^{87} - 88q^{91} - 48q^{93} + 32q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 + 0.707107i 0.500000 + 0.500000i
\(3\) 0.717647 1.57638i 0.414334 0.910125i
\(4\) 1.00000i 0.500000i
\(5\) 0.882438 3.29330i 0.394638 1.47281i −0.427757 0.903894i \(-0.640696\pi\)
0.822395 0.568916i \(-0.192637\pi\)
\(6\) 1.62212 0.607218i 0.662229 0.247896i
\(7\) −2.36601 1.18406i −0.894268 0.447533i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −1.96997 2.26257i −0.656655 0.754191i
\(10\) 2.95270 1.70474i 0.933724 0.539086i
\(11\) −2.62899 0.704437i −0.792672 0.212396i −0.160308 0.987067i \(-0.551249\pi\)
−0.632364 + 0.774671i \(0.717915\pi\)
\(12\) 1.57638 + 0.717647i 0.455063 + 0.207167i
\(13\) 0.963919 + 3.47431i 0.267343 + 0.963601i
\(14\) −0.835764 2.51028i −0.223367 0.670900i
\(15\) −4.55823 3.75449i −1.17693 0.969405i
\(16\) −1.00000 −0.250000
\(17\) 5.38527 1.30612 0.653060 0.757306i \(-0.273485\pi\)
0.653060 + 0.757306i \(0.273485\pi\)
\(18\) 0.206904 2.99286i 0.0487676 0.705423i
\(19\) −1.50899 5.63163i −0.346186 1.29198i −0.891220 0.453571i \(-0.850150\pi\)
0.545034 0.838414i \(-0.316517\pi\)
\(20\) 3.29330 + 0.882438i 0.736405 + 0.197319i
\(21\) −3.56449 + 2.88000i −0.777836 + 0.628468i
\(22\) −1.36087 2.35709i −0.290138 0.502534i
\(23\) −1.74460 −0.363775 −0.181887 0.983319i \(-0.558221\pi\)
−0.181887 + 0.983319i \(0.558221\pi\)
\(24\) 0.607218 + 1.62212i 0.123948 + 0.331115i
\(25\) −5.73702 3.31227i −1.14740 0.662455i
\(26\) −1.77512 + 3.13831i −0.348129 + 0.615472i
\(27\) −4.98042 + 1.48169i −0.958482 + 0.285152i
\(28\) 1.18406 2.36601i 0.223766 0.447134i
\(29\) 7.19866 + 4.15615i 1.33676 + 0.771778i 0.986325 0.164810i \(-0.0527012\pi\)
0.350433 + 0.936588i \(0.386035\pi\)
\(30\) −0.568330 5.87798i −0.103762 1.07317i
\(31\) 0.302238 + 1.12797i 0.0542836 + 0.202589i 0.987742 0.156097i \(-0.0498914\pi\)
−0.933458 + 0.358687i \(0.883225\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) −2.99715 + 3.63876i −0.521737 + 0.633428i
\(34\) 3.80796 + 3.80796i 0.653060 + 0.653060i
\(35\) −5.98733 + 6.74713i −1.01204 + 1.14047i
\(36\) 2.26257 1.96997i 0.377095 0.328328i
\(37\) −3.35202 3.35202i −0.551068 0.551068i 0.375681 0.926749i \(-0.377409\pi\)
−0.926749 + 0.375681i \(0.877409\pi\)
\(38\) 2.91515 5.04918i 0.472899 0.819085i
\(39\) 6.16860 + 0.973824i 0.987767 + 0.155937i
\(40\) 1.70474 + 2.95270i 0.269543 + 0.466862i
\(41\) 1.36866 0.366731i 0.213749 0.0572738i −0.150356 0.988632i \(-0.548042\pi\)
0.364104 + 0.931358i \(0.381375\pi\)
\(42\) −4.55694 0.484009i −0.703152 0.0746842i
\(43\) 8.98015 5.18469i 1.36946 0.790658i 0.378601 0.925560i \(-0.376405\pi\)
0.990859 + 0.134902i \(0.0430719\pi\)
\(44\) 0.704437 2.62899i 0.106198 0.396336i
\(45\) −9.18971 + 4.49112i −1.36992 + 0.669496i
\(46\) −1.23362 1.23362i −0.181887 0.181887i
\(47\) 12.4684 + 3.34090i 1.81870 + 0.487320i 0.996628 0.0820570i \(-0.0261489\pi\)
0.822076 + 0.569377i \(0.192816\pi\)
\(48\) −0.717647 + 1.57638i −0.103583 + 0.227531i
\(49\) 4.19600 + 5.60300i 0.599429 + 0.800428i
\(50\) −1.71456 6.39882i −0.242475 0.904930i
\(51\) 3.86472 8.48925i 0.541169 1.18873i
\(52\) −3.47431 + 0.963919i −0.481801 + 0.133672i
\(53\) 3.31796 + 1.91563i 0.455757 + 0.263131i 0.710259 0.703941i \(-0.248578\pi\)
−0.254501 + 0.967072i \(0.581911\pi\)
\(54\) −4.56940 2.47397i −0.621817 0.336665i
\(55\) −4.63985 + 8.03645i −0.625637 + 1.08364i
\(56\) 2.51028 0.835764i 0.335450 0.111684i
\(57\) −9.96053 1.66277i −1.31930 0.220240i
\(58\) 2.15138 + 8.02906i 0.282490 + 1.05427i
\(59\) −0.350102 + 0.350102i −0.0455794 + 0.0455794i −0.729529 0.683950i \(-0.760261\pi\)
0.683950 + 0.729529i \(0.260261\pi\)
\(60\) 3.75449 4.55823i 0.484702 0.588465i
\(61\) 6.12196 10.6036i 0.783837 1.35765i −0.145854 0.989306i \(-0.546593\pi\)
0.929691 0.368340i \(-0.120074\pi\)
\(62\) −0.583879 + 1.01131i −0.0741528 + 0.128436i
\(63\) 1.98194 + 7.68583i 0.249701 + 0.968323i
\(64\) 1.00000i 0.125000i
\(65\) 12.2926 0.108612i 1.52471 0.0134716i
\(66\) −4.69230 + 0.453689i −0.577582 + 0.0558453i
\(67\) −0.546909 0.146544i −0.0668156 0.0179032i 0.225256 0.974300i \(-0.427678\pi\)
−0.292072 + 0.956396i \(0.594345\pi\)
\(68\) 5.38527i 0.653060i
\(69\) −1.25201 + 2.75016i −0.150724 + 0.331080i
\(70\) −9.00462 + 0.537260i −1.07626 + 0.0642149i
\(71\) 2.45699 9.16961i 0.291591 1.08823i −0.652296 0.757964i \(-0.726194\pi\)
0.943887 0.330268i \(-0.107139\pi\)
\(72\) 2.99286 + 0.206904i 0.352712 + 0.0243838i
\(73\) −13.2059 + 3.53850i −1.54563 + 0.414150i −0.928080 0.372381i \(-0.878541\pi\)
−0.617550 + 0.786531i \(0.711875\pi\)
\(74\) 4.74047i 0.551068i
\(75\) −9.33857 + 6.66671i −1.07832 + 0.769805i
\(76\) 5.63163 1.50899i 0.645992 0.173093i
\(77\) 5.38613 + 4.77959i 0.613806 + 0.544685i
\(78\) 3.67326 + 5.05046i 0.415915 + 0.571852i
\(79\) −0.696028 1.20556i −0.0783093 0.135636i 0.824211 0.566282i \(-0.191619\pi\)
−0.902521 + 0.430647i \(0.858285\pi\)
\(80\) −0.882438 + 3.29330i −0.0986596 + 0.368203i
\(81\) −1.23847 + 8.91438i −0.137607 + 0.990487i
\(82\) 1.22711 + 0.708471i 0.135511 + 0.0782375i
\(83\) 2.65022 + 2.65022i 0.290900 + 0.290900i 0.837436 0.546536i \(-0.184054\pi\)
−0.546536 + 0.837436i \(0.684054\pi\)
\(84\) −2.88000 3.56449i −0.314234 0.388918i
\(85\) 4.75217 17.7353i 0.515445 1.92367i
\(86\) 10.0161 + 2.68379i 1.08006 + 0.289401i
\(87\) 11.7178 8.36520i 1.25628 0.896844i
\(88\) 2.35709 1.36087i 0.251267 0.145069i
\(89\) −9.70244 + 9.70244i −1.02846 + 1.02846i −0.0288740 + 0.999583i \(0.509192\pi\)
−0.999583 + 0.0288740i \(0.990808\pi\)
\(90\) −9.67381 3.32241i −1.01971 0.350212i
\(91\) 1.83316 9.36160i 0.192167 0.981362i
\(92\) 1.74460i 0.181887i
\(93\) 1.99501 + 0.333040i 0.206873 + 0.0345346i
\(94\) 6.45412 + 11.1789i 0.665692 + 1.15301i
\(95\) −19.8783 −2.03947
\(96\) −1.62212 + 0.607218i −0.165557 + 0.0619739i
\(97\) 12.8615 + 3.44622i 1.30588 + 0.349910i 0.843671 0.536860i \(-0.180390\pi\)
0.462211 + 0.886770i \(0.347056\pi\)
\(98\) −0.994895 + 6.92894i −0.100500 + 0.699928i
\(99\) 3.58519 + 7.33601i 0.360325 + 0.737296i
\(100\) 3.31227 5.73702i 0.331227 0.573702i
\(101\) 1.00716 + 1.74444i 0.100216 + 0.173579i 0.911773 0.410694i \(-0.134713\pi\)
−0.811558 + 0.584272i \(0.801380\pi\)
\(102\) 8.73558 3.27003i 0.864951 0.323782i
\(103\) −5.43794 + 3.13960i −0.535817 + 0.309354i −0.743382 0.668867i \(-0.766779\pi\)
0.207565 + 0.978221i \(0.433446\pi\)
\(104\) −3.13831 1.77512i −0.307736 0.174065i
\(105\) 6.33927 + 14.2804i 0.618650 + 1.39362i
\(106\) 0.991601 + 3.70071i 0.0963128 + 0.359444i
\(107\) 16.9721i 1.64075i 0.571822 + 0.820377i \(0.306237\pi\)
−0.571822 + 0.820377i \(0.693763\pi\)
\(108\) −1.48169 4.98042i −0.142576 0.479241i
\(109\) 2.82619 + 10.5475i 0.270700 + 1.01026i 0.958669 + 0.284525i \(0.0918358\pi\)
−0.687969 + 0.725740i \(0.741498\pi\)
\(110\) −8.96350 + 2.40176i −0.854636 + 0.228999i
\(111\) −7.68963 + 2.87850i −0.729867 + 0.273215i
\(112\) 2.36601 + 1.18406i 0.223567 + 0.111883i
\(113\) −8.61977 + 4.97663i −0.810880 + 0.468162i −0.847261 0.531176i \(-0.821750\pi\)
0.0363813 + 0.999338i \(0.488417\pi\)
\(114\) −5.86740 8.21891i −0.549532 0.769772i
\(115\) −1.53950 + 5.74550i −0.143559 + 0.535771i
\(116\) −4.15615 + 7.19866i −0.385889 + 0.668379i
\(117\) 5.96200 9.02522i 0.551187 0.834382i
\(118\) −0.495119 −0.0455794
\(119\) −12.7416 6.37649i −1.16802 0.584531i
\(120\) 5.87798 0.568330i 0.536584 0.0518812i
\(121\) −3.11090 1.79608i −0.282809 0.163280i
\(122\) 11.8267 3.16896i 1.07074 0.286904i
\(123\) 0.404105 2.42072i 0.0364370 0.218269i
\(124\) −1.12797 + 0.302238i −0.101295 + 0.0271418i
\(125\) −3.91656 + 3.91656i −0.350308 + 0.350308i
\(126\) −4.03326 + 6.83614i −0.359311 + 0.609012i
\(127\) −12.6251 7.28911i −1.12030 0.646804i −0.178821 0.983882i \(-0.557228\pi\)
−0.941477 + 0.337078i \(0.890561\pi\)
\(128\) 0.707107 0.707107i 0.0625000 0.0625000i
\(129\) −1.72848 17.8769i −0.152185 1.57398i
\(130\) 8.76896 + 8.61536i 0.769089 + 0.755617i
\(131\) −5.27411 + 3.04501i −0.460801 + 0.266043i −0.712381 0.701793i \(-0.752383\pi\)
0.251580 + 0.967836i \(0.419050\pi\)
\(132\) −3.63876 2.99715i −0.316714 0.260869i
\(133\) −3.09790 + 15.1112i −0.268622 + 1.31031i
\(134\) −0.283101 0.490345i −0.0244562 0.0423594i
\(135\) 0.484755 + 17.7095i 0.0417211 + 1.52419i
\(136\) −3.80796 + 3.80796i −0.326530 + 0.326530i
\(137\) 7.21735 7.21735i 0.616620 0.616620i −0.328043 0.944663i \(-0.606389\pi\)
0.944663 + 0.328043i \(0.106389\pi\)
\(138\) −2.82996 + 1.05935i −0.240902 + 0.0901782i
\(139\) 1.74467 + 3.02186i 0.147981 + 0.256311i 0.930481 0.366340i \(-0.119389\pi\)
−0.782500 + 0.622651i \(0.786056\pi\)
\(140\) −6.74713 5.98733i −0.570236 0.506021i
\(141\) 14.2144 17.2574i 1.19707 1.45334i
\(142\) 8.22125 4.74654i 0.689912 0.398321i
\(143\) −0.0867032 9.81297i −0.00725048 0.820602i
\(144\) 1.96997 + 2.26257i 0.164164 + 0.188548i
\(145\) 20.0398 20.0398i 1.66422 1.66422i
\(146\) −11.8401 6.83586i −0.979890 0.565740i
\(147\) 11.8437 2.59353i 0.976853 0.213911i
\(148\) 3.35202 3.35202i 0.275534 0.275534i
\(149\) 4.85267 1.30027i 0.397546 0.106522i −0.0545066 0.998513i \(-0.517359\pi\)
0.452053 + 0.891991i \(0.350692\pi\)
\(150\) −11.3174 1.88929i −0.924065 0.154260i
\(151\) −4.87954 + 1.30747i −0.397092 + 0.106400i −0.451838 0.892100i \(-0.649232\pi\)
0.0547466 + 0.998500i \(0.482565\pi\)
\(152\) 5.04918 + 2.91515i 0.409543 + 0.236450i
\(153\) −10.6088 12.1846i −0.857671 0.985063i
\(154\) 0.428887 + 7.18825i 0.0345607 + 0.579246i
\(155\) 3.98145 0.319798
\(156\) −0.973824 + 6.16860i −0.0779683 + 0.493884i
\(157\) −2.10143 + 3.63978i −0.167712 + 0.290486i −0.937615 0.347675i \(-0.886971\pi\)
0.769903 + 0.638161i \(0.220305\pi\)
\(158\) 0.360291 1.34462i 0.0286632 0.106972i
\(159\) 5.40088 3.85564i 0.428318 0.305772i
\(160\) −2.95270 + 1.70474i −0.233431 + 0.134771i
\(161\) 4.12774 + 2.06571i 0.325312 + 0.162801i
\(162\) −7.17915 + 5.42769i −0.564047 + 0.426440i
\(163\) −14.9215 + 3.99821i −1.16875 + 0.313164i −0.790453 0.612522i \(-0.790155\pi\)
−0.378292 + 0.925686i \(0.623488\pi\)
\(164\) 0.366731 + 1.36866i 0.0286369 + 0.106874i
\(165\) 9.33876 + 13.0815i 0.727021 + 1.01839i
\(166\) 3.74798i 0.290900i
\(167\) −2.99314 11.1706i −0.231617 0.864405i −0.979645 0.200738i \(-0.935666\pi\)
0.748028 0.663667i \(-0.231001\pi\)
\(168\) 0.484009 4.55694i 0.0373421 0.351576i
\(169\) −11.1417 + 6.69792i −0.857055 + 0.515224i
\(170\) 15.9011 9.18048i 1.21956 0.704111i
\(171\) −9.76931 + 14.5083i −0.747078 + 1.10948i
\(172\) 5.18469 + 8.98015i 0.395329 + 0.684730i
\(173\) 3.42672 5.93526i 0.260529 0.451249i −0.705854 0.708358i \(-0.749436\pi\)
0.966383 + 0.257108i \(0.0827697\pi\)
\(174\) 14.2008 + 2.37063i 1.07656 + 0.179717i
\(175\) 9.65192 + 14.6299i 0.729617 + 1.10591i
\(176\) 2.62899 + 0.704437i 0.198168 + 0.0530989i
\(177\) 0.300645 + 0.803144i 0.0225979 + 0.0603680i
\(178\) −13.7213 −1.02846
\(179\) 1.35380 + 2.34486i 0.101188 + 0.175263i 0.912174 0.409802i \(-0.134402\pi\)
−0.810986 + 0.585065i \(0.801069\pi\)
\(180\) −4.49112 9.18971i −0.334748 0.684961i
\(181\) 11.5327i 0.857219i 0.903490 + 0.428610i \(0.140996\pi\)
−0.903490 + 0.428610i \(0.859004\pi\)
\(182\) 7.91589 5.32341i 0.586765 0.394598i
\(183\) −12.3219 17.2602i −0.910858 1.27591i
\(184\) 1.23362 1.23362i 0.0909437 0.0909437i
\(185\) −13.9972 + 8.08126i −1.02909 + 0.594146i
\(186\) 1.17519 + 1.64618i 0.0861692 + 0.120704i
\(187\) −14.1578 3.79358i −1.03532 0.277414i
\(188\) −3.34090 + 12.4684i −0.243660 + 0.909352i
\(189\) 13.5381 + 2.39142i 0.984754 + 0.173950i
\(190\) −14.0560 14.0560i −1.01973 1.01973i
\(191\) 5.81888 + 3.35953i 0.421039 + 0.243087i 0.695522 0.718505i \(-0.255173\pi\)
−0.274483 + 0.961592i \(0.588507\pi\)
\(192\) −1.57638 0.717647i −0.113766 0.0517917i
\(193\) −0.251554 + 0.938814i −0.0181073 + 0.0675773i −0.974388 0.224872i \(-0.927804\pi\)
0.956281 + 0.292449i \(0.0944703\pi\)
\(194\) 6.65758 + 11.5313i 0.477986 + 0.827896i
\(195\) 8.65051 19.4557i 0.619476 1.39325i
\(196\) −5.60300 + 4.19600i −0.400214 + 0.299714i
\(197\) 9.98319 2.67499i 0.711272 0.190585i 0.114998 0.993366i \(-0.463314\pi\)
0.596274 + 0.802781i \(0.296647\pi\)
\(198\) −2.65223 + 7.72245i −0.188486 + 0.548811i
\(199\) 7.14634i 0.506591i −0.967389 0.253295i \(-0.918486\pi\)
0.967389 0.253295i \(-0.0815144\pi\)
\(200\) 6.39882 1.71456i 0.452465 0.121238i
\(201\) −0.623497 + 0.756972i −0.0439781 + 0.0533927i
\(202\) −0.521342 + 1.94567i −0.0366815 + 0.136897i
\(203\) −12.1110 18.3571i −0.850024 1.28842i
\(204\) 8.48925 + 3.86472i 0.594366 + 0.270585i
\(205\) 4.83103i 0.337414i
\(206\) −6.06524 1.62518i −0.422585 0.113231i
\(207\) 3.43681 + 3.94729i 0.238875 + 0.274355i
\(208\) −0.963919 3.47431i −0.0668358 0.240900i
\(209\) 15.8685i 1.09765i
\(210\) −5.61521 + 14.5803i −0.387486 + 1.00614i
\(211\) −4.55240 + 7.88500i −0.313400 + 0.542826i −0.979096 0.203398i \(-0.934802\pi\)
0.665696 + 0.746223i \(0.268135\pi\)
\(212\) −1.91563 + 3.31796i −0.131566 + 0.227879i
\(213\) −12.6916 10.4537i −0.869612 0.716275i
\(214\) −12.0011 + 12.0011i −0.820377 + 0.820377i
\(215\) −9.15034 34.1495i −0.624048 2.32898i
\(216\) 2.47397 4.56940i 0.168333 0.310909i
\(217\) 0.620484 3.02665i 0.0421212 0.205463i
\(218\) −5.45977 + 9.45660i −0.369782 + 0.640482i
\(219\) −3.89912 + 23.3569i −0.263478 + 1.57831i
\(220\) −8.03645 4.63985i −0.541818 0.312819i
\(221\) 5.19097 + 18.7101i 0.349182 + 1.25858i
\(222\) −7.47279 3.40198i −0.501541 0.228326i
\(223\) 0.0908711 + 0.339136i 0.00608518 + 0.0227102i 0.968902 0.247446i \(-0.0795913\pi\)
−0.962816 + 0.270156i \(0.912925\pi\)
\(224\) 0.835764 + 2.51028i 0.0558418 + 0.167725i
\(225\) 3.80749 + 19.5055i 0.253833 + 1.30037i
\(226\) −9.61411 2.57609i −0.639521 0.171359i
\(227\) −8.36023 8.36023i −0.554888 0.554888i 0.372959 0.927848i \(-0.378343\pi\)
−0.927848 + 0.372959i \(0.878343\pi\)
\(228\) 1.66277 9.96053i 0.110120 0.659652i
\(229\) −5.47851 + 20.4461i −0.362030 + 1.35112i 0.509372 + 0.860547i \(0.329878\pi\)
−0.871402 + 0.490569i \(0.836789\pi\)
\(230\) −5.15128 + 2.97409i −0.339665 + 0.196106i
\(231\) 11.3998 5.06054i 0.750052 0.332959i
\(232\) −8.02906 + 2.15138i −0.527134 + 0.141245i
\(233\) −8.24057 14.2731i −0.539857 0.935060i −0.998911 0.0466520i \(-0.985145\pi\)
0.459054 0.888408i \(-0.348189\pi\)
\(234\) 10.5976 2.16602i 0.692784 0.141597i
\(235\) 22.0052 38.1141i 1.43546 2.48629i
\(236\) −0.350102 0.350102i −0.0227897 0.0227897i
\(237\) −2.39992 + 0.232043i −0.155892 + 0.0150728i
\(238\) −4.50082 13.5185i −0.291745 0.876276i
\(239\) −2.67571 2.67571i −0.173077 0.173077i 0.615253 0.788330i \(-0.289054\pi\)
−0.788330 + 0.615253i \(0.789054\pi\)
\(240\) 4.55823 + 3.75449i 0.294232 + 0.242351i
\(241\) −7.90444 7.90444i −0.509170 0.509170i 0.405102 0.914272i \(-0.367236\pi\)
−0.914272 + 0.405102i \(0.867236\pi\)
\(242\) −0.929719 3.46976i −0.0597646 0.223045i
\(243\) 13.1637 + 8.34967i 0.844452 + 0.535632i
\(244\) 10.6036 + 6.12196i 0.678823 + 0.391919i
\(245\) 22.1551 8.87441i 1.41544 0.566965i
\(246\) 1.99745 1.42596i 0.127353 0.0909158i
\(247\) 18.1115 10.6711i 1.15241 0.678989i
\(248\) −1.01131 0.583879i −0.0642182 0.0370764i
\(249\) 6.07969 2.27584i 0.385285 0.144226i
\(250\) −5.53885 −0.350308
\(251\) 14.3537 + 24.8613i 0.905996 + 1.56923i 0.819574 + 0.572973i \(0.194210\pi\)
0.0864221 + 0.996259i \(0.472457\pi\)
\(252\) −7.68583 + 1.98194i −0.484162 + 0.124850i
\(253\) 4.58655 + 1.22896i 0.288354 + 0.0772642i
\(254\) −3.77312 14.0815i −0.236747 0.883551i
\(255\) −24.5473 20.2189i −1.53721 1.26616i
\(256\) 1.00000 0.0625000
\(257\) 23.3429 1.45609 0.728044 0.685531i \(-0.240430\pi\)
0.728044 + 0.685531i \(0.240430\pi\)
\(258\) 11.4187 13.8631i 0.710896 0.863080i
\(259\) 3.96191 + 11.8999i 0.246181 + 0.739423i
\(260\) 0.108612 + 12.2926i 0.00673582 + 0.762353i
\(261\) −4.77753 24.4750i −0.295722 1.51496i
\(262\) −5.88250 1.57621i −0.363422 0.0973786i
\(263\) −0.731732 + 0.422466i −0.0451205 + 0.0260503i −0.522391 0.852706i \(-0.674960\pi\)
0.477270 + 0.878757i \(0.341626\pi\)
\(264\) −0.453689 4.69230i −0.0279226 0.288791i
\(265\) 9.23663 9.23663i 0.567402 0.567402i
\(266\) −12.8758 + 8.49470i −0.789466 + 0.520844i
\(267\) 8.33184 + 22.2577i 0.509900 + 1.36215i
\(268\) 0.146544 0.546909i 0.00895159 0.0334078i
\(269\) 4.69816i 0.286452i −0.989690 0.143226i \(-0.954252\pi\)
0.989690 0.143226i \(-0.0457475\pi\)
\(270\) −12.1798 + 12.8653i −0.741237 + 0.782958i
\(271\) 8.70875 + 8.70875i 0.529019 + 0.529019i 0.920280 0.391261i \(-0.127961\pi\)
−0.391261 + 0.920280i \(0.627961\pi\)
\(272\) −5.38527 −0.326530
\(273\) −13.4419 9.60808i −0.813541 0.581507i
\(274\) 10.2069 0.616620
\(275\) 12.7493 + 12.7493i 0.768813 + 0.768813i
\(276\) −2.75016 1.25201i −0.165540 0.0753620i
\(277\) 20.5363i 1.23390i −0.787001 0.616952i \(-0.788367\pi\)
0.787001 0.616952i \(-0.211633\pi\)
\(278\) −0.903109 + 3.37045i −0.0541649 + 0.202146i
\(279\) 1.95671 2.90590i 0.117145 0.173971i
\(280\) −0.537260 9.00462i −0.0321074 0.538129i
\(281\) 4.81731 4.81731i 0.287377 0.287377i −0.548665 0.836042i \(-0.684864\pi\)
0.836042 + 0.548665i \(0.184864\pi\)
\(282\) 22.2540 2.15169i 1.32520 0.128131i
\(283\) 10.2184 5.89960i 0.607421 0.350695i −0.164534 0.986371i \(-0.552612\pi\)
0.771956 + 0.635676i \(0.219279\pi\)
\(284\) 9.16961 + 2.45699i 0.544116 + 0.145795i
\(285\) −14.2656 + 31.3357i −0.845019 + 1.85617i
\(286\) 6.87751 7.00013i 0.406676 0.413926i
\(287\) −3.67249 0.752886i −0.216781 0.0444415i
\(288\) −0.206904 + 2.99286i −0.0121919 + 0.176356i
\(289\) 12.0011 0.705949
\(290\) 28.3406 1.66422
\(291\) 14.6625 17.8014i 0.859533 1.04354i
\(292\) −3.53850 13.2059i −0.207075 0.772815i
\(293\) 11.5266 + 3.08854i 0.673390 + 0.180434i 0.579281 0.815128i \(-0.303333\pi\)
0.0941084 + 0.995562i \(0.470000\pi\)
\(294\) 10.2087 + 6.54087i 0.595382 + 0.381471i
\(295\) 0.844048 + 1.46193i 0.0491424 + 0.0851171i
\(296\) 4.74047 0.275534
\(297\) 14.1373 0.386973i 0.820327 0.0224544i
\(298\) 4.35078 + 2.51193i 0.252034 + 0.145512i
\(299\) −1.68166 6.06129i −0.0972526 0.350534i
\(300\) −6.66671 9.33857i −0.384902 0.539162i
\(301\) −27.3861 + 1.63399i −1.57851 + 0.0941817i
\(302\) −4.37488 2.52584i −0.251746 0.145346i
\(303\) 3.47269 0.335768i 0.199501 0.0192894i
\(304\) 1.50899 + 5.63163i 0.0865465 + 0.322996i
\(305\) −29.5185 29.5185i −1.69022 1.69022i
\(306\) 1.11423 16.1173i 0.0636964 0.921367i
\(307\) −10.9388 10.9388i −0.624311 0.624311i 0.322320 0.946631i \(-0.395537\pi\)
−0.946631 + 0.322320i \(0.895537\pi\)
\(308\) −4.77959 + 5.38613i −0.272343 + 0.306903i
\(309\) 1.04669 + 10.8254i 0.0595439 + 0.615836i
\(310\) 2.81531 + 2.81531i 0.159899 + 0.159899i
\(311\) 4.19822 7.27152i 0.238059 0.412330i −0.722098 0.691790i \(-0.756822\pi\)
0.960157 + 0.279460i \(0.0901555\pi\)
\(312\) −5.05046 + 3.67326i −0.285926 + 0.207958i
\(313\) 16.4060 + 28.4160i 0.927321 + 1.60617i 0.787785 + 0.615950i \(0.211228\pi\)
0.139536 + 0.990217i \(0.455439\pi\)
\(314\) −4.05965 + 1.08778i −0.229099 + 0.0613870i
\(315\) 27.0607 + 0.255145i 1.52470 + 0.0143758i
\(316\) 1.20556 0.696028i 0.0678178 0.0391546i
\(317\) 7.81826 29.1781i 0.439117 1.63881i −0.291900 0.956449i \(-0.594287\pi\)
0.731017 0.682359i \(-0.239046\pi\)
\(318\) 6.54535 + 1.09266i 0.367045 + 0.0612731i
\(319\) −15.9975 15.9975i −0.895688 0.895688i
\(320\) −3.29330 0.882438i −0.184101 0.0493298i
\(321\) 26.7545 + 12.1800i 1.49329 + 0.679820i
\(322\) 1.45808 + 4.37944i 0.0812554 + 0.244056i
\(323\) −8.12632 30.3278i −0.452161 1.68749i
\(324\) −8.91438 1.23847i −0.495243 0.0688036i
\(325\) 5.97785 23.1250i 0.331591 1.28274i
\(326\) −13.3783 7.72396i −0.740955 0.427790i
\(327\) 18.6551 + 3.11421i 1.03163 + 0.172216i
\(328\) −0.708471 + 1.22711i −0.0391187 + 0.0677557i
\(329\) −25.5445 22.6679i −1.40832 1.24972i
\(330\) −2.64653 + 15.8535i −0.145687 + 0.872708i
\(331\) −0.539756 2.01440i −0.0296677 0.110721i 0.949504 0.313754i \(-0.101587\pi\)
−0.979172 + 0.203033i \(0.934920\pi\)
\(332\) −2.65022 + 2.65022i −0.145450 + 0.145450i
\(333\) −0.980820 + 14.1875i −0.0537486 + 0.777472i
\(334\) 5.78231 10.0153i 0.316394 0.548011i
\(335\) −0.965227 + 1.67182i −0.0527360 + 0.0913414i
\(336\) 3.56449 2.88000i 0.194459 0.157117i
\(337\) 5.06430i 0.275870i 0.990441 + 0.137935i \(0.0440465\pi\)
−0.990441 + 0.137935i \(0.955953\pi\)
\(338\) −12.6145 3.14224i −0.686140 0.170915i
\(339\) 1.65912 + 17.1595i 0.0901110 + 0.931978i
\(340\) 17.7353 + 4.75217i 0.961833 + 0.257722i
\(341\) 3.17833i 0.172116i
\(342\) −17.1669 + 3.35099i −0.928278 + 0.181201i
\(343\) −3.29349 18.2251i −0.177832 0.984061i
\(344\) −2.68379 + 10.0161i −0.144700 + 0.540030i
\(345\) 7.95229 + 6.55009i 0.428137 + 0.352645i
\(346\) 6.61992 1.77380i 0.355889 0.0953602i
\(347\) 2.76777i 0.148582i −0.997237 0.0742909i \(-0.976331\pi\)
0.997237 0.0742909i \(-0.0236693\pi\)
\(348\) 8.36520 + 11.7178i 0.448422 + 0.628139i
\(349\) −10.2283 + 2.74067i −0.547510 + 0.146705i −0.521962 0.852969i \(-0.674800\pi\)
−0.0255480 + 0.999674i \(0.508133\pi\)
\(350\) −3.51993 + 17.1698i −0.188148 + 0.917765i
\(351\) −9.94859 15.8753i −0.531017 0.847361i
\(352\) 1.36087 + 2.35709i 0.0725345 + 0.125633i
\(353\) −2.09872 + 7.83254i −0.111704 + 0.416884i −0.999019 0.0442789i \(-0.985901\pi\)
0.887315 + 0.461163i \(0.152568\pi\)
\(354\) −0.355320 + 0.780496i −0.0188851 + 0.0414829i
\(355\) −28.0302 16.1832i −1.48769 0.858916i
\(356\) −9.70244 9.70244i −0.514229 0.514229i
\(357\) −19.1958 + 15.5096i −1.01595 + 0.820854i
\(358\) −0.700780 + 2.61535i −0.0370374 + 0.138225i
\(359\) 12.8647 + 3.44709i 0.678973 + 0.181930i 0.581794 0.813336i \(-0.302351\pi\)
0.0971798 + 0.995267i \(0.469018\pi\)
\(360\) 3.32241 9.67381i 0.175106 0.509854i
\(361\) −12.9837 + 7.49615i −0.683353 + 0.394534i
\(362\) −8.15485 + 8.15485i −0.428610 + 0.428610i
\(363\) −5.06384 + 3.61502i −0.265782 + 0.189739i
\(364\) 9.36160 + 1.83316i 0.490681 + 0.0960835i
\(365\) 46.6135i 2.43986i
\(366\) 3.49191 20.9176i 0.182525 1.09338i
\(367\) −1.66248 2.87950i −0.0867807 0.150309i 0.819368 0.573268i \(-0.194325\pi\)
−0.906149 + 0.422959i \(0.860991\pi\)
\(368\) 1.74460 0.0909437
\(369\) −3.52597 2.37424i −0.183555 0.123598i
\(370\) −15.6118 4.18317i −0.811619 0.217473i
\(371\) −5.58211 8.46106i −0.289809 0.439276i
\(372\) −0.333040 + 1.99501i −0.0172673 + 0.103436i
\(373\) −1.31890 + 2.28440i −0.0682901 + 0.118282i −0.898149 0.439692i \(-0.855088\pi\)
0.829859 + 0.557974i \(0.188421\pi\)
\(374\) −7.32864 12.6936i −0.378955 0.656369i
\(375\) 3.36329 + 8.98470i 0.173680 + 0.463968i
\(376\) −11.1789 + 6.45412i −0.576506 + 0.332846i
\(377\) −7.50084 + 29.0166i −0.386313 + 1.49443i
\(378\) 7.88192 + 11.2639i 0.405402 + 0.579352i
\(379\) 3.22947 + 12.0526i 0.165887 + 0.619098i 0.997925 + 0.0643804i \(0.0205071\pi\)
−0.832039 + 0.554718i \(0.812826\pi\)
\(380\) 19.8783i 1.01973i
\(381\) −20.5508 + 14.6710i −1.05285 + 0.751618i
\(382\) 1.73902 + 6.49012i 0.0889761 + 0.332063i
\(383\) −13.4877 + 3.61403i −0.689191 + 0.184668i −0.586384 0.810033i \(-0.699449\pi\)
−0.102807 + 0.994701i \(0.532782\pi\)
\(384\) −0.607218 1.62212i −0.0309870 0.0827787i
\(385\) 20.4936 13.5205i 1.04445 0.689067i
\(386\) −0.841717 + 0.485966i −0.0428423 + 0.0247350i
\(387\) −29.4213 10.1046i −1.49557 0.513644i
\(388\) −3.44622 + 12.8615i −0.174955 + 0.652941i
\(389\) −1.68983 + 2.92688i −0.0856780 + 0.148399i −0.905680 0.423962i \(-0.860639\pi\)
0.820002 + 0.572361i \(0.193972\pi\)
\(390\) 19.8741 7.64045i 1.00637 0.386889i
\(391\) −9.39515 −0.475133
\(392\) −6.92894 0.994895i −0.349964 0.0502498i
\(393\) 1.01515 + 10.4992i 0.0512076 + 0.529617i
\(394\) 8.95068 + 5.16768i 0.450929 + 0.260344i
\(395\) −4.58446 + 1.22840i −0.230669 + 0.0618077i
\(396\) −7.33601 + 3.58519i −0.368648 + 0.180163i
\(397\) 35.2940 9.45701i 1.77136 0.474634i 0.782393 0.622785i \(-0.213999\pi\)
0.988965 + 0.148152i \(0.0473323\pi\)
\(398\) 5.05323 5.05323i 0.253295 0.253295i
\(399\) 21.5979 + 15.7280i 1.08125 + 0.787385i
\(400\) 5.73702 + 3.31227i 0.286851 + 0.165614i
\(401\) 4.17305 4.17305i 0.208392 0.208392i −0.595192 0.803584i \(-0.702924\pi\)
0.803584 + 0.595192i \(0.202924\pi\)
\(402\) −0.976139 + 0.0943809i −0.0486854 + 0.00470729i
\(403\) −3.62758 + 2.13734i −0.180703 + 0.106469i
\(404\) −1.74444 + 1.00716i −0.0867894 + 0.0501079i
\(405\) 28.2649 + 11.9450i 1.40449 + 0.593553i
\(406\) 4.41671 21.5442i 0.219198 1.06922i
\(407\) 6.45115 + 11.1737i 0.319772 + 0.553861i
\(408\) 3.27003 + 8.73558i 0.161891 + 0.432475i
\(409\) −19.7136 + 19.7136i −0.974774 + 0.974774i −0.999690 0.0249151i \(-0.992068\pi\)
0.0249151 + 0.999690i \(0.492068\pi\)
\(410\) 3.41605 3.41605i 0.168707 0.168707i
\(411\) −6.19780 16.5568i −0.305715 0.816687i
\(412\) −3.13960 5.43794i −0.154677 0.267908i
\(413\) 1.24289 0.413802i 0.0611584 0.0203619i
\(414\) −0.360964 + 5.22134i −0.0177404 + 0.256615i
\(415\) 11.0666 6.38933i 0.543240 0.313640i
\(416\) 1.77512 3.13831i 0.0870323 0.153868i
\(417\) 6.01567 0.581643i 0.294589 0.0284832i
\(418\) −11.2207 + 11.2207i −0.548824 + 0.548824i
\(419\) 12.8370 + 7.41143i 0.627127 + 0.362072i 0.779639 0.626230i \(-0.215403\pi\)
−0.152512 + 0.988302i \(0.548736\pi\)
\(420\) −14.2804 + 6.33927i −0.696811 + 0.309325i
\(421\) 18.1242 18.1242i 0.883318 0.883318i −0.110552 0.993870i \(-0.535262\pi\)
0.993870 + 0.110552i \(0.0352620\pi\)
\(422\) −8.79457 + 2.35650i −0.428113 + 0.114713i
\(423\) −17.0033 34.7921i −0.826729 1.69165i
\(424\) −3.70071 + 0.991601i −0.179722 + 0.0481564i
\(425\) −30.8954 17.8375i −1.49865 0.865245i
\(426\) −1.58241 16.3662i −0.0766681 0.792943i
\(427\) −27.0399 + 17.8393i −1.30855 + 0.863306i
\(428\) −16.9721 −0.820377
\(429\) −15.5312 6.90557i −0.749855 0.333404i
\(430\) 17.6771 30.6176i 0.852465 1.47651i
\(431\) 0.615570 2.29734i 0.0296510 0.110659i −0.949514 0.313724i \(-0.898423\pi\)
0.979165 + 0.203065i \(0.0650901\pi\)
\(432\) 4.98042 1.48169i 0.239621 0.0712880i
\(433\) −4.77905 + 2.75918i −0.229666 + 0.132598i −0.610418 0.792079i \(-0.708999\pi\)
0.380752 + 0.924677i \(0.375665\pi\)
\(434\) 2.57892 1.70142i 0.123792 0.0816707i
\(435\) −17.2089 45.9720i −0.825105 2.20419i
\(436\) −10.5475 + 2.82619i −0.505132 + 0.135350i
\(437\) 2.63259 + 9.82495i 0.125934 + 0.469991i
\(438\) −19.2729 + 13.7587i −0.920896 + 0.657418i
\(439\) 9.69918i 0.462917i 0.972845 + 0.231458i \(0.0743497\pi\)
−0.972845 + 0.231458i \(0.925650\pi\)
\(440\) −2.40176 8.96350i −0.114500 0.427318i
\(441\) 4.41120 20.5315i 0.210057 0.977689i
\(442\) −9.55949 + 16.9006i −0.454698 + 0.803881i
\(443\) −16.9915 + 9.81007i −0.807292 + 0.466090i −0.846015 0.533160i \(-0.821005\pi\)
0.0387223 + 0.999250i \(0.487671\pi\)
\(444\) −2.87850 7.68963i −0.136607 0.364933i
\(445\) 23.3913 + 40.5149i 1.10885 + 1.92059i
\(446\) −0.175549 + 0.304061i −0.00831251 + 0.0143977i
\(447\) 1.43278 8.58280i 0.0677682 0.405952i
\(448\) −1.18406 + 2.36601i −0.0559416 + 0.111783i
\(449\) −13.0128 3.48676i −0.614111 0.164550i −0.0616615 0.998097i \(-0.519640\pi\)
−0.552449 + 0.833547i \(0.686307\pi\)
\(450\) −11.1002 + 16.4848i −0.523267 + 0.777100i
\(451\) −3.85654 −0.181597
\(452\) −4.97663 8.61977i −0.234081 0.405440i
\(453\) −1.44072 + 8.63033i −0.0676907 + 0.405488i
\(454\) 11.8232i 0.554888i
\(455\) −29.2129 14.2982i −1.36952 0.670309i
\(456\) 8.21891 5.86740i 0.384886 0.274766i
\(457\) −0.915265 + 0.915265i −0.0428143 + 0.0428143i −0.728190 0.685376i \(-0.759638\pi\)
0.685376 + 0.728190i \(0.259638\pi\)
\(458\) −18.3315 + 10.5837i −0.856573 + 0.494543i
\(459\) −26.8209 + 7.97932i −1.25189 + 0.372443i
\(460\) −5.74550 1.53950i −0.267885 0.0717797i
\(461\) −7.55353 + 28.1902i −0.351803 + 1.31295i 0.532657 + 0.846331i \(0.321194\pi\)
−0.884460 + 0.466616i \(0.845473\pi\)
\(462\) 11.6392 + 4.48254i 0.541506 + 0.208546i
\(463\) −8.48722 8.48722i −0.394434 0.394434i 0.481830 0.876265i \(-0.339972\pi\)
−0.876265 + 0.481830i \(0.839972\pi\)
\(464\) −7.19866 4.15615i −0.334189 0.192944i
\(465\) 2.85727 6.27629i 0.132503 0.291056i
\(466\) 4.26563 15.9195i 0.197602 0.737459i
\(467\) 13.6695 + 23.6763i 0.632550 + 1.09561i 0.987028 + 0.160545i \(0.0513252\pi\)
−0.354478 + 0.935064i \(0.615341\pi\)
\(468\) 9.02522 + 5.96200i 0.417191 + 0.275593i
\(469\) 1.12048 + 0.994298i 0.0517388 + 0.0459124i
\(470\) 42.5108 11.3907i 1.96088 0.525415i
\(471\) 4.22961 + 5.92474i 0.194890 + 0.272998i
\(472\) 0.495119i 0.0227897i
\(473\) −27.2611 + 7.30458i −1.25346 + 0.335865i
\(474\) −1.86108 1.53292i −0.0854822 0.0704093i
\(475\) −9.99638 + 37.3070i −0.458665 + 1.71176i
\(476\) 6.37649 12.7416i 0.292266 0.584010i
\(477\) −2.20203 11.2808i −0.100824 0.516514i
\(478\) 3.78402i 0.173077i
\(479\) 38.6192 + 10.3480i 1.76456 + 0.472812i 0.987633 0.156782i \(-0.0501120\pi\)
0.776925 + 0.629594i \(0.216779\pi\)
\(480\) 0.568330 + 5.87798i 0.0259406 + 0.268292i
\(481\) 8.41489 14.8770i 0.383686 0.678334i
\(482\) 11.1786i 0.509170i
\(483\) 6.21862 5.02445i 0.282957 0.228621i
\(484\) 1.79608 3.11090i 0.0816400 0.141405i
\(485\) 22.6989 39.3156i 1.03070 1.78523i
\(486\) 3.40403 + 15.2123i 0.154410 + 0.690042i
\(487\) −5.77661 + 5.77661i −0.261763 + 0.261763i −0.825770 0.564007i \(-0.809259\pi\)
0.564007 + 0.825770i \(0.309259\pi\)
\(488\) 3.16896 + 11.8267i 0.143452 + 0.535371i
\(489\) −4.40568 + 26.3914i −0.199232 + 1.19346i
\(490\) 21.9412 + 9.39085i 0.991201 + 0.424235i
\(491\) −14.5460 + 25.1944i −0.656453 + 1.13701i 0.325075 + 0.945688i \(0.394611\pi\)
−0.981527 + 0.191321i \(0.938723\pi\)
\(492\) 2.42072 + 0.404105i 0.109134 + 0.0182185i
\(493\) 38.7667 + 22.3820i 1.74597 + 1.00803i
\(494\) 20.3524 + 5.26113i 0.915698 + 0.236709i
\(495\) 27.3234 5.33355i 1.22810 0.239725i
\(496\) −0.302238 1.12797i −0.0135709 0.0506473i
\(497\) −16.6706 + 18.7862i −0.747780 + 0.842674i
\(498\) 5.90825 + 2.68973i 0.264755 + 0.120529i
\(499\) −19.4226 5.20426i −0.869474 0.232975i −0.203614 0.979051i \(-0.565269\pi\)
−0.665860 + 0.746076i \(0.731935\pi\)
\(500\) −3.91656 3.91656i −0.175154 0.175154i
\(501\) −19.7571 3.29818i −0.882683 0.147352i
\(502\) −7.43001 + 27.7292i −0.331618 + 1.23761i
\(503\) 1.29628 0.748409i 0.0577984 0.0333699i −0.470822 0.882228i \(-0.656043\pi\)
0.528621 + 0.848858i \(0.322709\pi\)
\(504\) −6.83614 4.03326i −0.304506 0.179656i
\(505\) 6.63374 1.77750i 0.295197 0.0790979i
\(506\) 2.37417 + 4.11219i 0.105545 + 0.182809i
\(507\) 2.56266 + 22.3704i 0.113812 + 0.993502i
\(508\) 7.28911 12.6251i 0.323402 0.560149i
\(509\) 1.53574 + 1.53574i 0.0680706 + 0.0680706i 0.740323 0.672252i \(-0.234673\pi\)
−0.672252 + 0.740323i \(0.734673\pi\)
\(510\) −3.06061 31.6545i −0.135526 1.40169i
\(511\) 35.4350 + 7.26442i 1.56755 + 0.321359i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 15.8598 + 25.8120i 0.700225 + 1.13963i
\(514\) 16.5059 + 16.5059i 0.728044 + 0.728044i
\(515\) 5.54100 + 20.6793i 0.244166 + 0.911239i
\(516\) 17.8769 1.72848i 0.786988 0.0760923i
\(517\) −30.4259 17.5664i −1.33813 0.772570i
\(518\) −5.61300 + 11.2160i −0.246621 + 0.492802i
\(519\) −6.89706 9.66125i −0.302748 0.424082i
\(520\) −8.61536 + 8.76896i −0.377809 + 0.384544i
\(521\) −30.4873 17.6018i −1.33567 0.771151i −0.349510 0.936933i \(-0.613652\pi\)
−0.986162 + 0.165782i \(0.946985\pi\)
\(522\) 13.9282 20.6846i 0.609620 0.905342i
\(523\) 28.5555 1.24864 0.624322 0.781167i \(-0.285375\pi\)
0.624322 + 0.781167i \(0.285375\pi\)
\(524\) −3.04501 5.27411i −0.133022 0.230400i
\(525\) 29.9889 4.71606i 1.30882 0.205826i
\(526\) −0.816141 0.218684i −0.0355854 0.00953509i
\(527\) 1.62763 + 6.07442i 0.0709009 + 0.264606i
\(528\) 2.99715 3.63876i 0.130434 0.158357i
\(529\) −19.9564 −0.867668
\(530\) 13.0626 0.567402
\(531\) 1.48182 + 0.102442i 0.0643055 + 0.00444560i
\(532\) −15.1112 3.09790i −0.655155 0.134311i
\(533\) 2.59342 + 4.40166i 0.112333 + 0.190657i
\(534\) −9.84707 + 21.6301i −0.426124 + 0.936025i
\(535\) 55.8943 + 14.9768i 2.41652 + 0.647505i
\(536\) 0.490345 0.283101i 0.0211797 0.0122281i
\(537\) 4.66794 0.451334i 0.201437 0.0194765i
\(538\) 3.32210 3.32210i 0.143226 0.143226i
\(539\) −7.08431 17.6861i −0.305143 0.761793i
\(540\) −17.7095 + 0.484755i −0.762097 + 0.0208605i
\(541\) −4.09884 + 15.2971i −0.176223 + 0.657672i 0.820117 + 0.572195i \(0.193908\pi\)
−0.996340 + 0.0854769i \(0.972759\pi\)
\(542\) 12.3160i 0.529019i
\(543\) 18.1800 + 8.27641i 0.780177 + 0.355175i
\(544\) −3.80796 3.80796i −0.163265 0.163265i
\(545\) 37.2300 1.59476
\(546\) −2.71093 16.2988i −0.116017 0.697524i
\(547\) 22.5516 0.964236 0.482118 0.876106i \(-0.339868\pi\)
0.482118 + 0.876106i \(0.339868\pi\)
\(548\) 7.21735 + 7.21735i 0.308310 + 0.308310i
\(549\) −36.0514 + 7.03726i −1.53863 + 0.300343i
\(550\) 18.0303i 0.768813i
\(551\) 12.5432 46.8118i 0.534357 1.99425i
\(552\) −1.05935 2.82996i −0.0450891 0.120451i
\(553\) 0.219358 + 3.67650i 0.00932805 + 0.156340i
\(554\) 14.5213 14.5213i 0.616952 0.616952i
\(555\) 2.69415 + 27.8644i 0.114360 + 1.18278i
\(556\) −3.02186 + 1.74467i −0.128155 + 0.0739906i
\(557\) −2.08887 0.559712i −0.0885084 0.0237157i 0.214293 0.976769i \(-0.431255\pi\)
−0.302801 + 0.953054i \(0.597922\pi\)
\(558\) 3.43838 0.671175i 0.145558 0.0284131i
\(559\) 26.6694 + 26.2022i 1.12800 + 1.10824i
\(560\) 5.98733 6.74713i 0.253011 0.285118i
\(561\) −16.1405 + 19.5957i −0.681451 + 0.827332i
\(562\) 6.81271 0.287377
\(563\) 17.2180 0.725651 0.362826 0.931857i \(-0.381812\pi\)
0.362826 + 0.931857i \(0.381812\pi\)
\(564\) 17.2574 + 14.2144i 0.726668 + 0.598536i
\(565\) 8.78313 + 32.7791i 0.369509 + 1.37903i
\(566\) 11.3972 + 3.05386i 0.479058 + 0.128363i
\(567\) 13.4854 19.6251i 0.566333 0.824176i
\(568\) 4.74654 + 8.22125i 0.199160 + 0.344956i
\(569\) −9.63578 −0.403953 −0.201977 0.979390i \(-0.564736\pi\)
−0.201977 + 0.979390i \(0.564736\pi\)
\(570\) −32.2450 + 12.0704i −1.35059 + 0.505575i
\(571\) −35.2570 20.3556i −1.47546 0.851856i −0.475841 0.879531i \(-0.657856\pi\)
−0.999617 + 0.0276752i \(0.991190\pi\)
\(572\) 9.81297 0.0867032i 0.410301 0.00362524i
\(573\) 9.47181 6.76183i 0.395690 0.282479i
\(574\) −2.06447 3.12922i −0.0861695 0.130611i
\(575\) 10.0088 + 5.77860i 0.417397 + 0.240984i
\(576\) −2.26257 + 1.96997i −0.0942738 + 0.0820819i
\(577\) −3.76233 14.0412i −0.156628 0.584543i −0.998960 0.0455850i \(-0.985485\pi\)
0.842333 0.538958i \(-0.181182\pi\)
\(578\) 8.48608 + 8.48608i 0.352975 + 0.352975i
\(579\) 1.29940 + 1.07028i 0.0540013 + 0.0444794i
\(580\) 20.0398 + 20.0398i 0.832109 + 0.832109i
\(581\) −3.13243 9.40847i −0.129955 0.390329i
\(582\) 22.9555 2.21952i 0.951535 0.0920020i
\(583\) −7.37346 7.37346i −0.305378 0.305378i
\(584\) 6.83586 11.8401i 0.282870 0.489945i
\(585\) −24.4617 27.5989i −1.01137 1.14107i
\(586\) 5.96659 + 10.3344i 0.246478 + 0.426912i
\(587\) −30.9162 + 8.28397i −1.27605 + 0.341916i −0.832345 0.554258i \(-0.813002\pi\)
−0.443703 + 0.896174i \(0.646335\pi\)
\(588\) 2.59353 + 11.8437i 0.106956 + 0.488427i
\(589\) 5.89623 3.40419i 0.242950 0.140267i
\(590\) −0.436911 + 1.63058i −0.0179874 + 0.0671297i
\(591\) 2.94760 17.6570i 0.121248 0.726313i
\(592\) 3.35202 + 3.35202i 0.137767 + 0.137767i
\(593\) −27.9568 7.49100i −1.14805 0.307619i −0.365866 0.930668i \(-0.619227\pi\)
−0.782183 + 0.623049i \(0.785894\pi\)
\(594\) 10.2702 + 9.72292i 0.421391 + 0.398936i
\(595\) −32.2434 + 36.3351i −1.32185 + 1.48959i
\(596\) 1.30027 + 4.85267i 0.0532611 + 0.198773i
\(597\) −11.2654 5.12855i −0.461061 0.209898i
\(598\) 3.09687 5.47509i 0.126641 0.223893i
\(599\) −9.28946 5.36327i −0.379557 0.219137i 0.298068 0.954545i \(-0.403658\pi\)
−0.677626 + 0.735407i \(0.736991\pi\)
\(600\) 1.88929 11.3174i 0.0771300 0.462032i
\(601\) 9.06315 15.6978i 0.369694 0.640328i −0.619824 0.784741i \(-0.712796\pi\)
0.989518 + 0.144413i \(0.0461293\pi\)
\(602\) −20.5203 18.2095i −0.836345 0.742164i
\(603\) 0.745827 + 1.52611i 0.0303724 + 0.0621479i
\(604\) −1.30747 4.87954i −0.0532002 0.198546i
\(605\) −8.66021 + 8.66021i −0.352088 + 0.352088i
\(606\) 2.69299 + 2.21814i 0.109395 + 0.0901059i
\(607\) 7.80873 13.5251i 0.316947 0.548968i −0.662903 0.748706i \(-0.730676\pi\)
0.979849 + 0.199738i \(0.0640091\pi\)
\(608\) −2.91515 + 5.04918i −0.118225 + 0.204771i
\(609\) −37.6293 + 5.91759i −1.52482 + 0.239793i
\(610\) 41.7454i 1.69022i
\(611\) 0.411203 + 46.5395i 0.0166355 + 1.88279i
\(612\) 12.1846 10.6088i 0.492532 0.428835i
\(613\) 23.7061 + 6.35202i 0.957479 + 0.256556i 0.703533 0.710663i \(-0.251605\pi\)
0.253946 + 0.967218i \(0.418271\pi\)
\(614\) 15.4698i 0.624311i
\(615\) −7.61555 3.46697i −0.307089 0.139802i
\(616\) −7.18825 + 0.428887i −0.289623 + 0.0172803i
\(617\) 8.54893 31.9050i 0.344167 1.28445i −0.549415 0.835549i \(-0.685149\pi\)
0.893582 0.448899i \(-0.148184\pi\)
\(618\) −6.91460 + 8.39484i −0.278146 + 0.337690i
\(619\) −16.0013 + 4.28754i −0.643147 + 0.172331i −0.565628 0.824660i \(-0.691366\pi\)
−0.0775184 + 0.996991i \(0.524700\pi\)
\(620\) 3.98145i 0.159899i
\(621\) 8.68885 2.58497i 0.348672 0.103731i
\(622\) 8.11033 2.17316i 0.325195 0.0871356i
\(623\) 34.4444 11.4678i 1.37998 0.459448i
\(624\) −6.16860 0.973824i −0.246942 0.0389842i
\(625\) −7.11906 12.3306i −0.284763 0.493223i
\(626\) −8.49236 + 31.6939i −0.339423 + 1.26674i
\(627\) 25.0148 + 11.3880i 0.998997 + 0.454792i
\(628\) −3.63978 2.10143i −0.145243 0.0838562i
\(629\) −18.0515 18.0515i −0.719761 0.719761i
\(630\) 18.9544 + 19.3152i 0.755161 + 0.769537i
\(631\) −11.8770 + 44.3257i −0.472817 + 1.76458i 0.156758 + 0.987637i \(0.449896\pi\)
−0.629575 + 0.776940i \(0.716771\pi\)
\(632\) 1.34462 + 0.360291i 0.0534862 + 0.0143316i
\(633\) 9.16275 + 12.8350i 0.364187 + 0.510144i
\(634\) 26.1604 15.1037i 1.03896 0.599845i
\(635\) −35.1461 + 35.1461i −1.39473 + 1.39473i
\(636\) 3.85564 + 5.40088i 0.152886 + 0.214159i
\(637\) −15.4220 + 19.9791i −0.611040 + 0.791599i
\(638\) 22.6239i 0.895688i
\(639\) −25.5871 + 12.5047i −1.01221 + 0.494678i
\(640\) −1.70474 2.95270i −0.0673857 0.116716i
\(641\) 36.0495 1.42387 0.711934 0.702246i \(-0.247819\pi\)
0.711934 + 0.702246i \(0.247819\pi\)
\(642\) 10.3058 + 27.5308i 0.406736 + 1.08656i
\(643\) −42.4343 11.3702i −1.67345 0.448399i −0.707409 0.706804i \(-0.750136\pi\)
−0.966037 + 0.258405i \(0.916803\pi\)
\(644\) −2.06571 + 4.12774i −0.0814005 + 0.162656i
\(645\) −60.3995 10.0829i −2.37823 0.397012i
\(646\) 15.6988 27.1912i 0.617663 1.06982i
\(647\) 12.9959 + 22.5096i 0.510923 + 0.884945i 0.999920 + 0.0126593i \(0.00402970\pi\)
−0.488997 + 0.872286i \(0.662637\pi\)
\(648\) −5.42769 7.17915i −0.213220 0.282024i
\(649\) 1.16704 0.673791i 0.0458103 0.0264486i
\(650\) 20.5788 12.1249i 0.807167 0.475576i
\(651\) −4.32588 3.15019i −0.169544 0.123466i
\(652\) −3.99821 14.9215i −0.156582 0.584373i
\(653\) 4.78411i 0.187217i −0.995609 0.0936083i \(-0.970160\pi\)
0.995609 0.0936083i \(-0.0298401\pi\)
\(654\) 10.9890 + 15.3932i 0.429706 + 0.601922i
\(655\) 5.37406 + 20.0563i 0.209982 + 0.783663i
\(656\) −1.36866 + 0.366731i −0.0534372 + 0.0143185i
\(657\) 34.0212 + 22.9085i 1.32729 + 0.893746i
\(658\) −2.03406 34.0914i −0.0792959 1.32902i
\(659\) −8.85320 + 5.11140i −0.344872 + 0.199112i −0.662424 0.749129i \(-0.730472\pi\)
0.317552 + 0.948241i \(0.397139\pi\)
\(660\) −13.0815 + 9.33876i −0.509197 + 0.363511i
\(661\) −0.338359 + 1.26277i −0.0131606 + 0.0491161i −0.972194 0.234177i \(-0.924760\pi\)
0.959033 + 0.283293i \(0.0914270\pi\)
\(662\) 1.04273 1.80606i 0.0405268 0.0701945i
\(663\) 33.2196 + 5.24431i 1.29014 + 0.203672i
\(664\) −3.74798 −0.145450
\(665\) 47.0321 + 23.5371i 1.82383 + 0.912728i
\(666\) −10.7256 + 9.33856i −0.415610 + 0.361862i
\(667\) −12.5588 7.25083i −0.486279 0.280753i
\(668\) 11.1706 2.99314i 0.432202 0.115808i
\(669\) 0.599821 + 0.100132i 0.0231904 + 0.00387132i
\(670\) −1.86468 + 0.499638i −0.0720387 + 0.0193027i
\(671\) −23.5641 + 23.5641i −0.909684 + 0.909684i
\(672\) 4.55694 + 0.484009i 0.175788 + 0.0186710i
\(673\) −22.6777 13.0930i −0.874163 0.504698i −0.00543356 0.999985i \(-0.501730\pi\)
−0.868729 + 0.495287i \(0.835063\pi\)
\(674\) −3.58100 + 3.58100i −0.137935 + 0.137935i
\(675\) 33.4806 + 7.99600i 1.28867 + 0.307766i
\(676\) −6.69792 11.1417i −0.257612 0.428528i
\(677\) −3.98352 + 2.29989i −0.153099 + 0.0883918i −0.574592 0.818440i \(-0.694839\pi\)
0.421493 + 0.906831i \(0.361506\pi\)
\(678\) −10.9604 + 13.3068i −0.420933 + 0.511044i
\(679\) −26.3498 23.3825i −1.01121 0.897339i
\(680\) 9.18048 + 15.9011i 0.352055 + 0.609778i
\(681\) −19.1786 + 7.17924i −0.734927 + 0.275109i
\(682\) 2.24742 2.24742i 0.0860581 0.0860581i
\(683\) 1.14649 1.14649i 0.0438691 0.0438691i −0.684832 0.728701i \(-0.740124\pi\)
0.728701 + 0.684832i \(0.240124\pi\)
\(684\) −14.5083 9.76931i −0.554739 0.373539i
\(685\) −17.4001 30.1378i −0.664822 1.15151i
\(686\) 10.5582 15.2159i 0.403114 0.580946i
\(687\) 28.2992 + 23.3093i 1.07968 + 0.889306i
\(688\) −8.98015 + 5.18469i −0.342365 + 0.197665i
\(689\) −3.45724 + 13.3742i −0.131710 + 0.509515i
\(690\) 0.991509 + 10.2547i 0.0377461 + 0.390391i
\(691\) −5.08470 + 5.08470i −0.193431 + 0.193431i −0.797177 0.603746i \(-0.793674\pi\)
0.603746 + 0.797177i \(0.293674\pi\)
\(692\) 5.93526 + 3.42672i 0.225625 + 0.130264i
\(693\) 0.203679 21.6021i 0.00773711 0.820598i
\(694\) 1.95711 1.95711i 0.0742909 0.0742909i
\(695\) 11.4915 3.07913i 0.435896 0.116798i
\(696\) −2.37063 + 14.2008i −0.0898585 + 0.538280i
\(697\) 7.37060 1.97495i 0.279182 0.0748065i
\(698\) −9.17047 5.29457i −0.347107 0.200403i
\(699\) −28.4137 + 2.74726i −1.07470 + 0.103911i
\(700\) −14.6299 + 9.65192i −0.552956 + 0.364808i
\(701\) −23.2544 −0.878306 −0.439153 0.898412i \(-0.644721\pi\)
−0.439153 + 0.898412i \(0.644721\pi\)
\(702\) 4.19082 18.2603i 0.158172 0.689189i
\(703\) −13.8192 + 23.9355i −0.521199 + 0.902744i
\(704\) −0.704437 + 2.62899i −0.0265495 + 0.0990839i
\(705\) −44.2905 62.0411i −1.66808 2.33660i
\(706\) −7.02246 + 4.05442i −0.264294 + 0.152590i
\(707\) −0.317412 5.31991i −0.0119375 0.200076i
\(708\) −0.803144 + 0.300645i −0.0301840 + 0.0112989i
\(709\) −26.0071 + 6.96857i −0.976716 + 0.261710i −0.711661 0.702523i \(-0.752057\pi\)
−0.265055 + 0.964233i \(0.585390\pi\)
\(710\) −8.37705 31.2636i −0.314385 1.17330i
\(711\) −1.35651 + 3.94972i −0.0508729 + 0.148126i
\(712\) 13.7213i 0.514229i
\(713\) −0.527285 1.96786i −0.0197470 0.0736968i
\(714\) −24.5404 2.60652i −0.918400 0.0975465i
\(715\) −32.3936 8.37380i −1.21145 0.313162i
\(716\) −2.34486 + 1.35380i −0.0876314 + 0.0505940i
\(717\) −6.13815 + 2.29773i −0.229233 + 0.0858101i
\(718\) 6.65926 + 11.5342i 0.248522 + 0.430452i
\(719\) −4.52339 + 7.83474i −0.168694 + 0.292187i −0.937961 0.346741i \(-0.887288\pi\)
0.769267 + 0.638928i \(0.220622\pi\)
\(720\) 9.18971 4.49112i 0.342480 0.167374i
\(721\) 16.5837 0.989466i 0.617609 0.0368496i
\(722\) −14.4815 3.88029i −0.538944 0.144410i
\(723\) −18.1330 + 6.78783i −0.674375 + 0.252442i
\(724\) −11.5327 −0.428610
\(725\) −27.5326 47.6879i −1.02254 1.77108i
\(726\) −6.13688 1.02447i −0.227761 0.0380216i
\(727\) 46.9466i 1.74115i −0.492034 0.870576i \(-0.663747\pi\)
0.492034 0.870576i \(-0.336253\pi\)
\(728\) 5.32341 + 7.91589i 0.197299 + 0.293382i
\(729\) 22.6092 14.7589i 0.837377 0.546626i
\(730\) −32.9607 + 32.9607i −1.21993 + 1.21993i
\(731\) 48.3605 27.9210i 1.78868 1.03269i
\(732\) 17.2602 12.3219i 0.637954 0.455429i
\(733\) 3.82669 + 1.02536i 0.141342 + 0.0378725i 0.328796 0.944401i \(-0.393357\pi\)
−0.187454 + 0.982273i \(0.560024\pi\)
\(734\) 0.860562 3.21166i 0.0317639 0.118545i
\(735\) 1.91005 41.2936i 0.0704533 1.52314i
\(736\) 1.23362 + 1.23362i 0.0454718 + 0.0454718i
\(737\) 1.33459 + 0.770526i 0.0491603 + 0.0283827i
\(738\) −0.814394 4.17208i −0.0299782 0.153576i
\(739\) 0.959391 3.58049i 0.0352918 0.131711i −0.946032 0.324072i \(-0.894948\pi\)
0.981324 + 0.192361i \(0.0616146\pi\)
\(740\) −8.08126 13.9972i −0.297073 0.514546i
\(741\) −3.82415 36.2088i −0.140484 1.33016i
\(742\) 2.03572 9.93002i 0.0747337 0.364542i
\(743\) −17.3795 + 4.65682i −0.637592 + 0.170842i −0.563112 0.826380i \(-0.690396\pi\)
−0.0744795 + 0.997223i \(0.523730\pi\)
\(744\) −1.64618 + 1.17519i −0.0603519 + 0.0430846i
\(745\) 17.1287i 0.627547i
\(746\) −2.54792 + 0.682713i −0.0932860 + 0.0249959i
\(747\) 0.775470 11.2172i 0.0283730 0.410415i
\(748\) 3.79358 14.1578i 0.138707 0.517662i
\(749\) 20.0960 40.1561i 0.734292 1.46727i
\(750\) −3.97494 + 8.73135i −0.145144 + 0.318824i
\(751\) 41.2262i 1.50437i 0.658954 + 0.752183i \(0.270999\pi\)
−0.658954 + 0.752183i \(0.729001\pi\)
\(752\) −12.4684 3.34090i −0.454676 0.121830i
\(753\) 49.4918 4.78526i 1.80358 0.174385i
\(754\) −25.8217 + 15.2139i −0.940372 + 0.554059i
\(755\) 17.2236i 0.626830i
\(756\) −2.39142 + 13.5381i −0.0869750 + 0.492377i
\(757\) 16.3398 28.3014i 0.593880 1.02863i −0.399824 0.916592i \(-0.630929\pi\)
0.993704 0.112038i \(-0.0357379\pi\)
\(758\) −6.23886 + 10.8060i −0.226606 + 0.392492i
\(759\) 5.22884 6.34820i 0.189795 0.230425i
\(760\) 14.0560 14.0560i 0.509866 0.509866i
\(761\) 10.7529 + 40.1303i 0.389792 + 1.45472i 0.830473 + 0.557059i \(0.188070\pi\)
−0.440681 + 0.897664i \(0.645263\pi\)
\(762\) −24.9056 4.15764i −0.902234 0.150616i
\(763\) 5.80206 28.3018i 0.210049 1.02459i
\(764\) −3.35953 + 5.81888i −0.121544 + 0.210520i
\(765\) −49.4891 + 24.1859i −1.78928 + 0.874442i
\(766\) −12.0928 6.98176i −0.436929 0.252261i
\(767\) −1.55383 0.878894i −0.0561057 0.0317350i
\(768\) 0.717647 1.57638i 0.0258958 0.0568828i
\(769\) −11.7559 43.8736i −0.423929 1.58212i −0.766251 0.642541i \(-0.777880\pi\)
0.342323 0.939582i \(-0.388786\pi\)
\(770\) 24.0516 + 4.93073i 0.866758 + 0.177691i
\(771\) 16.7519 36.7973i 0.603306 1.32522i
\(772\) −0.938814 0.251554i −0.0337886 0.00905364i
\(773\) 21.8574 + 21.8574i 0.786156 + 0.786156i 0.980862 0.194706i \(-0.0623752\pi\)
−0.194706 + 0.980862i \(0.562375\pi\)
\(774