Properties

Label 273.2.cg.b.19.7
Level $273$
Weight $2$
Character 273.19
Analytic conductor $2.180$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.7
Character \(\chi\) \(=\) 273.19
Dual form 273.2.cg.b.115.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.07087 + 0.286939i) q^{2} +1.00000i q^{3} +(-0.667621 - 0.385451i) q^{4} +(-3.71307 + 0.994915i) q^{5} +(-0.286939 + 1.07087i) q^{6} +(-1.35644 + 2.27158i) q^{7} +(-2.17220 - 2.17220i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(1.07087 + 0.286939i) q^{2} +1.00000i q^{3} +(-0.667621 - 0.385451i) q^{4} +(-3.71307 + 0.994915i) q^{5} +(-0.286939 + 1.07087i) q^{6} +(-1.35644 + 2.27158i) q^{7} +(-2.17220 - 2.17220i) q^{8} -1.00000 q^{9} -4.26170 q^{10} +(4.06398 + 4.06398i) q^{11} +(0.385451 - 0.667621i) q^{12} +(-2.56640 - 2.53251i) q^{13} +(-2.10438 + 2.04335i) q^{14} +(-0.994915 - 3.71307i) q^{15} +(-0.931953 - 1.61419i) q^{16} +(-2.31050 + 4.00191i) q^{17} +(-1.07087 - 0.286939i) q^{18} +(1.10074 + 1.10074i) q^{19} +(2.86242 + 0.766982i) q^{20} +(-2.27158 - 1.35644i) q^{21} +(3.18588 + 5.51811i) q^{22} +(3.73329 - 2.15542i) q^{23} +(2.17220 - 2.17220i) q^{24} +(8.46694 - 4.88839i) q^{25} +(-2.02161 - 3.44839i) q^{26} -1.00000i q^{27} +(1.78117 - 0.993710i) q^{28} +(-2.38522 + 4.13133i) q^{29} -4.26170i q^{30} +(0.993920 - 3.70936i) q^{31} +(1.05533 + 3.93855i) q^{32} +(-4.06398 + 4.06398i) q^{33} +(-3.62255 + 3.62255i) q^{34} +(2.77655 - 9.78408i) q^{35} +(0.667621 + 0.385451i) q^{36} +(-0.653817 + 2.44008i) q^{37} +(0.862902 + 1.49459i) q^{38} +(2.53251 - 2.56640i) q^{39} +(10.2267 + 5.90438i) q^{40} +(-4.40726 + 1.18092i) q^{41} +(-2.04335 - 2.10438i) q^{42} +(-2.65948 + 1.53545i) q^{43} +(-1.14673 - 4.27966i) q^{44} +(3.71307 - 0.994915i) q^{45} +(4.61635 - 1.23695i) q^{46} +(2.11512 + 7.89374i) q^{47} +(1.61419 - 0.931953i) q^{48} +(-3.32013 - 6.16253i) q^{49} +(10.4697 - 2.80534i) q^{50} +(-4.00191 - 2.31050i) q^{51} +(0.737223 + 2.67998i) q^{52} +(-1.36950 - 2.37205i) q^{53} +(0.286939 - 1.07087i) q^{54} +(-19.1332 - 11.0466i) q^{55} +(7.88078 - 1.98785i) q^{56} +(-1.10074 + 1.10074i) q^{57} +(-3.73971 + 3.73971i) q^{58} +(3.64542 + 13.6049i) q^{59} +(-0.766982 + 2.86242i) q^{60} -3.55543i q^{61} +(2.12872 - 3.68705i) q^{62} +(1.35644 - 2.27158i) q^{63} +8.24831i q^{64} +(12.0489 + 6.85004i) q^{65} +(-5.51811 + 3.18588i) q^{66} +(-4.37916 + 4.37916i) q^{67} +(3.08508 - 1.78117i) q^{68} +(2.15542 + 3.73329i) q^{69} +(5.78076 - 9.68079i) q^{70} +(-7.06180 - 1.89220i) q^{71} +(2.17220 + 2.17220i) q^{72} +(1.11360 + 0.298389i) q^{73} +(-1.40031 + 2.42540i) q^{74} +(4.88839 + 8.46694i) q^{75} +(-0.310594 - 1.15915i) q^{76} +(-14.7442 + 3.71909i) q^{77} +(3.44839 - 2.02161i) q^{78} +(4.33848 - 7.51446i) q^{79} +(5.06640 + 5.06640i) q^{80} +1.00000 q^{81} -5.05846 q^{82} +(1.07656 + 1.07656i) q^{83} +(0.993710 + 1.78117i) q^{84} +(4.59751 - 17.1581i) q^{85} +(-3.28854 + 0.881161i) q^{86} +(-4.13133 - 2.38522i) q^{87} -17.6555i q^{88} +(8.76983 + 2.34987i) q^{89} +4.26170 q^{90} +(9.23396 - 2.39457i) q^{91} -3.32323 q^{92} +(3.70936 + 0.993920i) q^{93} +9.06008i q^{94} +(-5.18225 - 2.99198i) q^{95} +(-3.93855 + 1.05533i) q^{96} +(1.63771 - 6.11203i) q^{97} +(-1.78716 - 7.55195i) q^{98} +(-4.06398 - 4.06398i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 8q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 8q^{7} - 40q^{9} + 4q^{11} - 24q^{12} - 18q^{14} + 32q^{16} + 4q^{17} + 14q^{19} + 14q^{20} + 2q^{21} + 4q^{22} + 12q^{23} + 24q^{25} - 32q^{26} + 16q^{28} + 8q^{29} + 14q^{31} - 26q^{32} - 4q^{33} - 24q^{34} + 26q^{35} + 36q^{37} - 8q^{38} + 18q^{39} - 30q^{40} - 2q^{41} - 66q^{43} - 32q^{44} - 26q^{46} - 4q^{47} + 24q^{48} - 14q^{49} - 20q^{50} + 2q^{52} - 8q^{53} - 42q^{55} + 46q^{56} - 14q^{57} + 24q^{58} + 14q^{59} + 2q^{60} + 24q^{62} + 8q^{63} + 28q^{65} - 18q^{66} - 44q^{67} - 18q^{68} + 4q^{69} - 4q^{70} - 6q^{71} + 14q^{73} - 20q^{74} + 24q^{75} - 64q^{76} + 24q^{77} + 8q^{78} + 20q^{80} + 40q^{81} + 48q^{82} - 12q^{83} + 22q^{84} + 2q^{85} - 60q^{86} + 18q^{87} - 2q^{89} - 14q^{91} + 236q^{92} - 8q^{93} + 24q^{95} + 16q^{96} - 62q^{97} - 88q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.07087 + 0.286939i 0.757220 + 0.202896i 0.616718 0.787184i \(-0.288462\pi\)
0.140502 + 0.990080i \(0.455128\pi\)
\(3\) 1.00000i 0.577350i
\(4\) −0.667621 0.385451i −0.333810 0.192725i
\(5\) −3.71307 + 0.994915i −1.66054 + 0.444940i −0.962535 0.271156i \(-0.912594\pi\)
−0.698002 + 0.716096i \(0.745927\pi\)
\(6\) −0.286939 + 1.07087i −0.117142 + 0.437181i
\(7\) −1.35644 + 2.27158i −0.512687 + 0.858575i
\(8\) −2.17220 2.17220i −0.767988 0.767988i
\(9\) −1.00000 −0.333333
\(10\) −4.26170 −1.34767
\(11\) 4.06398 + 4.06398i 1.22534 + 1.22534i 0.965709 + 0.259628i \(0.0835999\pi\)
0.259628 + 0.965709i \(0.416400\pi\)
\(12\) 0.385451 0.667621i 0.111270 0.192725i
\(13\) −2.56640 2.53251i −0.711791 0.702391i
\(14\) −2.10438 + 2.04335i −0.562419 + 0.546108i
\(15\) −0.994915 3.71307i −0.256886 0.958712i
\(16\) −0.931953 1.61419i −0.232988 0.403548i
\(17\) −2.31050 + 4.00191i −0.560379 + 0.970605i 0.437084 + 0.899421i \(0.356011\pi\)
−0.997463 + 0.0711845i \(0.977322\pi\)
\(18\) −1.07087 0.286939i −0.252407 0.0676322i
\(19\) 1.10074 + 1.10074i 0.252526 + 0.252526i 0.822006 0.569479i \(-0.192855\pi\)
−0.569479 + 0.822006i \(0.692855\pi\)
\(20\) 2.86242 + 0.766982i 0.640056 + 0.171502i
\(21\) −2.27158 1.35644i −0.495699 0.296000i
\(22\) 3.18588 + 5.51811i 0.679233 + 1.17647i
\(23\) 3.73329 2.15542i 0.778446 0.449436i −0.0574336 0.998349i \(-0.518292\pi\)
0.835879 + 0.548914i \(0.184958\pi\)
\(24\) 2.17220 2.17220i 0.443398 0.443398i
\(25\) 8.46694 4.88839i 1.69339 0.977678i
\(26\) −2.02161 3.44839i −0.396470 0.676285i
\(27\) 1.00000i 0.192450i
\(28\) 1.78117 0.993710i 0.336610 0.187793i
\(29\) −2.38522 + 4.13133i −0.442925 + 0.767169i −0.997905 0.0646949i \(-0.979393\pi\)
0.554980 + 0.831864i \(0.312726\pi\)
\(30\) 4.26170i 0.778077i
\(31\) 0.993920 3.70936i 0.178513 0.666220i −0.817413 0.576052i \(-0.804593\pi\)
0.995926 0.0901688i \(-0.0287406\pi\)
\(32\) 1.05533 + 3.93855i 0.186558 + 0.696244i
\(33\) −4.06398 + 4.06398i −0.707448 + 0.707448i
\(34\) −3.62255 + 3.62255i −0.621263 + 0.621263i
\(35\) 2.77655 9.78408i 0.469322 1.65381i
\(36\) 0.667621 + 0.385451i 0.111270 + 0.0642418i
\(37\) −0.653817 + 2.44008i −0.107487 + 0.401146i −0.998615 0.0526046i \(-0.983248\pi\)
0.891129 + 0.453751i \(0.149914\pi\)
\(38\) 0.862902 + 1.49459i 0.139981 + 0.242455i
\(39\) 2.53251 2.56640i 0.405526 0.410953i
\(40\) 10.2267 + 5.90438i 1.61698 + 0.933565i
\(41\) −4.40726 + 1.18092i −0.688299 + 0.184429i −0.585984 0.810323i \(-0.699292\pi\)
−0.102315 + 0.994752i \(0.532625\pi\)
\(42\) −2.04335 2.10438i −0.315296 0.324713i
\(43\) −2.65948 + 1.53545i −0.405567 + 0.234154i −0.688883 0.724872i \(-0.741899\pi\)
0.283316 + 0.959027i \(0.408565\pi\)
\(44\) −1.14673 4.27966i −0.172876 0.645184i
\(45\) 3.71307 0.994915i 0.553512 0.148313i
\(46\) 4.61635 1.23695i 0.680643 0.182378i
\(47\) 2.11512 + 7.89374i 0.308522 + 1.15142i 0.929871 + 0.367886i \(0.119918\pi\)
−0.621349 + 0.783534i \(0.713415\pi\)
\(48\) 1.61419 0.931953i 0.232988 0.134516i
\(49\) −3.32013 6.16253i −0.474304 0.880361i
\(50\) 10.4697 2.80534i 1.48063 0.396735i
\(51\) −4.00191 2.31050i −0.560379 0.323535i
\(52\) 0.737223 + 2.67998i 0.102234 + 0.371646i
\(53\) −1.36950 2.37205i −0.188116 0.325826i 0.756506 0.653987i \(-0.226905\pi\)
−0.944622 + 0.328160i \(0.893571\pi\)
\(54\) 0.286939 1.07087i 0.0390474 0.145727i
\(55\) −19.1332 11.0466i −2.57992 1.48952i
\(56\) 7.88078 1.98785i 1.05311 0.265638i
\(57\) −1.10074 + 1.10074i −0.145796 + 0.145796i
\(58\) −3.73971 + 3.73971i −0.491048 + 0.491048i
\(59\) 3.64542 + 13.6049i 0.474594 + 1.77121i 0.622938 + 0.782271i \(0.285939\pi\)
−0.148344 + 0.988936i \(0.547394\pi\)
\(60\) −0.766982 + 2.86242i −0.0990170 + 0.369536i
\(61\) 3.55543i 0.455226i −0.973752 0.227613i \(-0.926908\pi\)
0.973752 0.227613i \(-0.0730921\pi\)
\(62\) 2.12872 3.68705i 0.270348 0.468256i
\(63\) 1.35644 2.27158i 0.170896 0.286192i
\(64\) 8.24831i 1.03104i
\(65\) 12.0489 + 6.85004i 1.49448 + 0.849643i
\(66\) −5.51811 + 3.18588i −0.679233 + 0.392155i
\(67\) −4.37916 + 4.37916i −0.534999 + 0.534999i −0.922056 0.387057i \(-0.873492\pi\)
0.387057 + 0.922056i \(0.373492\pi\)
\(68\) 3.08508 1.78117i 0.374121 0.215999i
\(69\) 2.15542 + 3.73329i 0.259482 + 0.449436i
\(70\) 5.78076 9.68079i 0.690933 1.15708i
\(71\) −7.06180 1.89220i −0.838081 0.224563i −0.185845 0.982579i \(-0.559502\pi\)
−0.652236 + 0.758016i \(0.726169\pi\)
\(72\) 2.17220 + 2.17220i 0.255996 + 0.255996i
\(73\) 1.11360 + 0.298389i 0.130337 + 0.0349238i 0.323398 0.946263i \(-0.395175\pi\)
−0.193061 + 0.981187i \(0.561841\pi\)
\(74\) −1.40031 + 2.42540i −0.162782 + 0.281947i
\(75\) 4.88839 + 8.46694i 0.564463 + 0.977678i
\(76\) −0.310594 1.15915i −0.0356276 0.132964i
\(77\) −14.7442 + 3.71909i −1.68026 + 0.423830i
\(78\) 3.44839 2.02161i 0.390453 0.228902i
\(79\) 4.33848 7.51446i 0.488117 0.845443i −0.511790 0.859111i \(-0.671017\pi\)
0.999907 + 0.0136675i \(0.00435065\pi\)
\(80\) 5.06640 + 5.06640i 0.566440 + 0.566440i
\(81\) 1.00000 0.111111
\(82\) −5.05846 −0.558614
\(83\) 1.07656 + 1.07656i 0.118168 + 0.118168i 0.763718 0.645550i \(-0.223372\pi\)
−0.645550 + 0.763718i \(0.723372\pi\)
\(84\) 0.993710 + 1.78117i 0.108423 + 0.194342i
\(85\) 4.59751 17.1581i 0.498670 1.86106i
\(86\) −3.28854 + 0.881161i −0.354612 + 0.0950181i
\(87\) −4.13133 2.38522i −0.442925 0.255723i
\(88\) 17.6555i 1.88209i
\(89\) 8.76983 + 2.34987i 0.929600 + 0.249086i 0.691684 0.722200i \(-0.256869\pi\)
0.237916 + 0.971286i \(0.423536\pi\)
\(90\) 4.26170 0.449223
\(91\) 9.23396 2.39457i 0.967982 0.251019i
\(92\) −3.32323 −0.346471
\(93\) 3.70936 + 0.993920i 0.384643 + 0.103065i
\(94\) 9.06008i 0.934476i
\(95\) −5.18225 2.99198i −0.531688 0.306970i
\(96\) −3.93855 + 1.05533i −0.401977 + 0.107709i
\(97\) 1.63771 6.11203i 0.166285 0.620583i −0.831588 0.555393i \(-0.812568\pi\)
0.997873 0.0651900i \(-0.0207654\pi\)
\(98\) −1.78716 7.55195i −0.180530 0.762862i
\(99\) −4.06398 4.06398i −0.408446 0.408446i
\(100\) −7.53694 −0.753694
\(101\) 4.73048 0.470701 0.235350 0.971911i \(-0.424376\pi\)
0.235350 + 0.971911i \(0.424376\pi\)
\(102\) −3.62255 3.62255i −0.358686 0.358686i
\(103\) −3.04904 + 5.28110i −0.300431 + 0.520362i −0.976234 0.216721i \(-0.930464\pi\)
0.675802 + 0.737083i \(0.263797\pi\)
\(104\) 0.0736159 + 11.0758i 0.00721864 + 1.08608i
\(105\) 9.78408 + 2.77655i 0.954829 + 0.270963i
\(106\) −0.785928 2.93312i −0.0763361 0.284890i
\(107\) −5.06948 8.78060i −0.490085 0.848853i 0.509850 0.860264i \(-0.329701\pi\)
−0.999935 + 0.0114109i \(0.996368\pi\)
\(108\) −0.385451 + 0.667621i −0.0370900 + 0.0642418i
\(109\) 5.36251 + 1.43688i 0.513636 + 0.137628i 0.506321 0.862345i \(-0.331005\pi\)
0.00731442 + 0.999973i \(0.497672\pi\)
\(110\) −17.3195 17.3195i −1.65135 1.65135i
\(111\) −2.44008 0.653817i −0.231602 0.0620575i
\(112\) 4.93090 + 0.0725533i 0.465926 + 0.00685564i
\(113\) 3.66662 + 6.35076i 0.344926 + 0.597430i 0.985340 0.170600i \(-0.0545706\pi\)
−0.640414 + 0.768030i \(0.721237\pi\)
\(114\) −1.49459 + 0.862902i −0.139981 + 0.0808182i
\(115\) −11.7175 + 11.7175i −1.09267 + 1.09267i
\(116\) 3.18485 1.83877i 0.295706 0.170726i
\(117\) 2.56640 + 2.53251i 0.237264 + 0.234130i
\(118\) 15.6151i 1.43749i
\(119\) −5.95658 10.6768i −0.546039 0.978745i
\(120\) −5.90438 + 10.2267i −0.538994 + 0.933565i
\(121\) 22.0319i 2.00290i
\(122\) 1.02019 3.80740i 0.0923637 0.344706i
\(123\) −1.18092 4.40726i −0.106480 0.397389i
\(124\) −2.09334 + 2.09334i −0.187987 + 0.187987i
\(125\) −12.9841 + 12.9841i −1.16133 + 1.16133i
\(126\) 2.10438 2.04335i 0.187473 0.182036i
\(127\) −6.45696 3.72793i −0.572963 0.330800i 0.185369 0.982669i \(-0.440652\pi\)
−0.758332 + 0.651869i \(0.773985\pi\)
\(128\) −0.256097 + 0.955769i −0.0226360 + 0.0844788i
\(129\) −1.53545 2.65948i −0.135189 0.234154i
\(130\) 10.9372 + 10.7928i 0.959258 + 0.946591i
\(131\) 1.96283 + 1.13324i 0.171493 + 0.0990117i 0.583290 0.812264i \(-0.301765\pi\)
−0.411797 + 0.911276i \(0.635099\pi\)
\(132\) 4.27966 1.14673i 0.372497 0.0998103i
\(133\) −3.99349 + 1.00732i −0.346280 + 0.0873458i
\(134\) −5.94606 + 3.43296i −0.513662 + 0.296563i
\(135\) 0.994915 + 3.71307i 0.0856287 + 0.319571i
\(136\) 13.7118 3.67407i 1.17578 0.315049i
\(137\) 6.20474 1.66255i 0.530107 0.142042i 0.0161691 0.999869i \(-0.494853\pi\)
0.513938 + 0.857828i \(0.328186\pi\)
\(138\) 1.23695 + 4.61635i 0.105296 + 0.392970i
\(139\) 6.59281 3.80636i 0.559195 0.322851i −0.193627 0.981075i \(-0.562025\pi\)
0.752822 + 0.658224i \(0.228692\pi\)
\(140\) −5.62496 + 5.46183i −0.475396 + 0.461609i
\(141\) −7.89374 + 2.11512i −0.664773 + 0.178125i
\(142\) −7.01933 4.05261i −0.589049 0.340087i
\(143\) −0.137729 20.7219i −0.0115174 1.73285i
\(144\) 0.931953 + 1.61419i 0.0776628 + 0.134516i
\(145\) 4.74619 17.7130i 0.394150 1.47099i
\(146\) 1.10690 + 0.639072i 0.0916081 + 0.0528900i
\(147\) 6.16253 3.32013i 0.508277 0.273839i
\(148\) 1.37703 1.37703i 0.113191 0.113191i
\(149\) 5.89782 5.89782i 0.483168 0.483168i −0.422974 0.906142i \(-0.639014\pi\)
0.906142 + 0.422974i \(0.139014\pi\)
\(150\) 2.80534 + 10.4697i 0.229055 + 0.854845i
\(151\) −4.35609 + 16.2571i −0.354493 + 1.32299i 0.526628 + 0.850096i \(0.323456\pi\)
−0.881121 + 0.472891i \(0.843210\pi\)
\(152\) 4.78203i 0.387874i
\(153\) 2.31050 4.00191i 0.186793 0.323535i
\(154\) −16.8563 0.248024i −1.35832 0.0199863i
\(155\) 14.7620i 1.18571i
\(156\) −2.67998 + 0.737223i −0.214570 + 0.0590251i
\(157\) −12.9026 + 7.44933i −1.02974 + 0.594521i −0.916910 0.399093i \(-0.869325\pi\)
−0.112830 + 0.993614i \(0.535992\pi\)
\(158\) 6.80214 6.80214i 0.541149 0.541149i
\(159\) 2.37205 1.36950i 0.188116 0.108609i
\(160\) −7.83705 13.5742i −0.619573 1.07313i
\(161\) −0.167801 + 11.4042i −0.0132246 + 0.898774i
\(162\) 1.07087 + 0.286939i 0.0841356 + 0.0225441i
\(163\) 1.07815 + 1.07815i 0.0844474 + 0.0844474i 0.748069 0.663621i \(-0.230981\pi\)
−0.663621 + 0.748069i \(0.730981\pi\)
\(164\) 3.39757 + 0.910375i 0.265305 + 0.0710884i
\(165\) 11.0466 19.1332i 0.859973 1.48952i
\(166\) 0.843948 + 1.46176i 0.0655031 + 0.113455i
\(167\) −4.56332 17.0305i −0.353120 1.31786i −0.882834 0.469686i \(-0.844367\pi\)
0.529714 0.848177i \(-0.322299\pi\)
\(168\) 1.98785 + 7.88078i 0.153366 + 0.608015i
\(169\) 0.172802 + 12.9989i 0.0132925 + 0.999912i
\(170\) 9.84668 17.0549i 0.755206 1.30805i
\(171\) −1.10074 1.10074i −0.0841754 0.0841754i
\(172\) 2.36736 0.180510
\(173\) −21.4187 −1.62844 −0.814218 0.580559i \(-0.802834\pi\)
−0.814218 + 0.580559i \(0.802834\pi\)
\(174\) −3.73971 3.73971i −0.283506 0.283506i
\(175\) −0.380565 + 25.8641i −0.0287680 + 1.95514i
\(176\) 2.77260 10.3475i 0.208993 0.779971i
\(177\) −13.6049 + 3.64542i −1.02261 + 0.274007i
\(178\) 8.71708 + 5.03281i 0.653373 + 0.377225i
\(179\) 17.4569i 1.30479i 0.757879 + 0.652395i \(0.226236\pi\)
−0.757879 + 0.652395i \(0.773764\pi\)
\(180\) −2.86242 0.766982i −0.213352 0.0571675i
\(181\) 19.2300 1.42935 0.714676 0.699456i \(-0.246574\pi\)
0.714676 + 0.699456i \(0.246574\pi\)
\(182\) 10.5755 + 0.0853090i 0.783906 + 0.00632352i
\(183\) 3.55543 0.262825
\(184\) −12.7914 3.42746i −0.942998 0.252676i
\(185\) 9.71068i 0.713943i
\(186\) 3.68705 + 2.12872i 0.270348 + 0.156085i
\(187\) −25.6535 + 6.87384i −1.87597 + 0.502665i
\(188\) 1.63055 6.08530i 0.118920 0.443816i
\(189\) 2.27158 + 1.35644i 0.165233 + 0.0986667i
\(190\) −4.69101 4.69101i −0.340322 0.340322i
\(191\) −9.00219 −0.651376 −0.325688 0.945477i \(-0.605596\pi\)
−0.325688 + 0.945477i \(0.605596\pi\)
\(192\) −8.24831 −0.595270
\(193\) 14.2364 + 14.2364i 1.02475 + 1.02475i 0.999686 + 0.0250692i \(0.00798062\pi\)
0.0250692 + 0.999686i \(0.492019\pi\)
\(194\) 3.50756 6.07527i 0.251828 0.436179i
\(195\) −6.85004 + 12.0489i −0.490542 + 0.862837i
\(196\) −0.158768 + 5.39398i −0.0113406 + 0.385284i
\(197\) 2.88538 + 10.7684i 0.205575 + 0.767215i 0.989274 + 0.146074i \(0.0466639\pi\)
−0.783699 + 0.621141i \(0.786669\pi\)
\(198\) −3.18588 5.51811i −0.226411 0.392155i
\(199\) 7.95661 13.7813i 0.564029 0.976927i −0.433110 0.901341i \(-0.642584\pi\)
0.997139 0.0755862i \(-0.0240828\pi\)
\(200\) −29.0104 7.77332i −2.05135 0.549657i
\(201\) −4.37916 4.37916i −0.308882 0.308882i
\(202\) 5.06574 + 1.35736i 0.356424 + 0.0955035i
\(203\) −6.14921 11.0221i −0.431590 0.773602i
\(204\) 1.78117 + 3.08508i 0.124707 + 0.215999i
\(205\) 15.1896 8.76971i 1.06089 0.612503i
\(206\) −4.78048 + 4.78048i −0.333072 + 0.333072i
\(207\) −3.73329 + 2.15542i −0.259482 + 0.149812i
\(208\) −1.69619 + 6.50284i −0.117609 + 0.450891i
\(209\) 8.94674i 0.618859i
\(210\) 9.68079 + 5.78076i 0.668038 + 0.398910i
\(211\) 4.78671 8.29082i 0.329531 0.570764i −0.652888 0.757454i \(-0.726443\pi\)
0.982419 + 0.186691i \(0.0597762\pi\)
\(212\) 2.11151i 0.145019i
\(213\) 1.89220 7.06180i 0.129652 0.483866i
\(214\) −2.90926 10.8575i −0.198873 0.742205i
\(215\) 8.34720 8.34720i 0.569274 0.569274i
\(216\) −2.17220 + 2.17220i −0.147799 + 0.147799i
\(217\) 7.07790 + 7.28930i 0.480479 + 0.494830i
\(218\) 5.33026 + 3.07743i 0.361011 + 0.208430i
\(219\) −0.298389 + 1.11360i −0.0201633 + 0.0752503i
\(220\) 8.51581 + 14.7498i 0.574136 + 0.994432i
\(221\) 16.0645 4.41912i 1.08062 0.297262i
\(222\) −2.42540 1.40031i −0.162782 0.0939824i
\(223\) 8.48493 2.27353i 0.568193 0.152247i 0.0367254 0.999325i \(-0.488307\pi\)
0.531468 + 0.847078i \(0.321641\pi\)
\(224\) −10.3782 2.94515i −0.693424 0.196781i
\(225\) −8.46694 + 4.88839i −0.564463 + 0.325893i
\(226\) 2.10419 + 7.85294i 0.139969 + 0.522370i
\(227\) 2.25026 0.602956i 0.149355 0.0400196i −0.183367 0.983045i \(-0.558700\pi\)
0.332722 + 0.943025i \(0.392033\pi\)
\(228\) 1.15915 0.310594i 0.0767668 0.0205696i
\(229\) 5.76286 + 21.5073i 0.380821 + 1.42124i 0.844651 + 0.535318i \(0.179808\pi\)
−0.463830 + 0.885924i \(0.653525\pi\)
\(230\) −15.9102 + 9.18575i −1.04909 + 0.605691i
\(231\) −3.71909 14.7442i −0.244698 0.970098i
\(232\) 14.1552 3.79289i 0.929338 0.249015i
\(233\) −22.9050 13.2242i −1.50056 0.866346i −1.00000 0.000642475i \(-0.999795\pi\)
−0.500556 0.865704i \(-0.666871\pi\)
\(234\) 2.02161 + 3.44839i 0.132157 + 0.225428i
\(235\) −15.7072 27.2057i −1.02462 1.77470i
\(236\) 2.81026 10.4880i 0.182933 0.682713i
\(237\) 7.51446 + 4.33848i 0.488117 + 0.281814i
\(238\) −3.31512 13.1427i −0.214887 0.851914i
\(239\) 15.8253 15.8253i 1.02365 1.02365i 0.0239377 0.999713i \(-0.492380\pi\)
0.999713 0.0239377i \(-0.00762033\pi\)
\(240\) −5.06640 + 5.06640i −0.327034 + 0.327034i
\(241\) −4.57540 17.0756i −0.294728 1.09994i −0.941433 0.337199i \(-0.890521\pi\)
0.646706 0.762740i \(-0.276146\pi\)
\(242\) −6.32181 + 23.5933i −0.406381 + 1.51664i
\(243\) 1.00000i 0.0641500i
\(244\) −1.37044 + 2.37368i −0.0877336 + 0.151959i
\(245\) 18.4591 + 19.5787i 1.17931 + 1.25084i
\(246\) 5.05846i 0.322516i
\(247\) −0.0373040 5.61255i −0.00237360 0.357118i
\(248\) −10.2165 + 5.89847i −0.648745 + 0.374553i
\(249\) −1.07656 + 1.07656i −0.0682241 + 0.0682241i
\(250\) −17.6299 + 10.1786i −1.11501 + 0.643752i
\(251\) −5.13722 8.89792i −0.324258 0.561632i 0.657104 0.753800i \(-0.271781\pi\)
−0.981362 + 0.192169i \(0.938448\pi\)
\(252\) −1.78117 + 0.993710i −0.112203 + 0.0625978i
\(253\) 23.9316 + 6.41246i 1.50457 + 0.403148i
\(254\) −5.84489 5.84489i −0.366741 0.366741i
\(255\) 17.1581 + 4.59751i 1.07448 + 0.287907i
\(256\) 7.69982 13.3365i 0.481238 0.833529i
\(257\) −3.08669 5.34630i −0.192542 0.333493i 0.753550 0.657391i \(-0.228340\pi\)
−0.946092 + 0.323898i \(0.895007\pi\)
\(258\) −0.881161 3.28854i −0.0548587 0.204736i
\(259\) −4.65596 4.79502i −0.289307 0.297948i
\(260\) −5.40371 9.21747i −0.335124 0.571644i
\(261\) 2.38522 4.13133i 0.147642 0.255723i
\(262\) 1.77677 + 1.77677i 0.109769 + 0.109769i
\(263\) −4.29839 −0.265050 −0.132525 0.991180i \(-0.542308\pi\)
−0.132525 + 0.991180i \(0.542308\pi\)
\(264\) 17.6555 1.08662
\(265\) 7.44506 + 7.44506i 0.457346 + 0.457346i
\(266\) −4.56555 0.0671776i −0.279932 0.00411892i
\(267\) −2.34987 + 8.76983i −0.143810 + 0.536705i
\(268\) 4.61157 1.23567i 0.281696 0.0754803i
\(269\) 18.7221 + 10.8092i 1.14151 + 0.659050i 0.946804 0.321812i \(-0.104292\pi\)
0.194704 + 0.980862i \(0.437625\pi\)
\(270\) 4.26170i 0.259359i
\(271\) 20.0858 + 5.38197i 1.22012 + 0.326931i 0.810727 0.585425i \(-0.199072\pi\)
0.409397 + 0.912356i \(0.365739\pi\)
\(272\) 8.61312 0.522247
\(273\) 2.39457 + 9.23396i 0.144926 + 0.558865i
\(274\) 7.12153 0.430227
\(275\) 54.2758 + 14.5432i 3.27296 + 0.876986i
\(276\) 3.32323i 0.200035i
\(277\) 0.133980 + 0.0773537i 0.00805011 + 0.00464773i 0.504020 0.863692i \(-0.331854\pi\)
−0.495970 + 0.868340i \(0.665187\pi\)
\(278\) 8.15224 2.18439i 0.488939 0.131011i
\(279\) −0.993920 + 3.70936i −0.0595044 + 0.222073i
\(280\) −27.2842 + 15.2218i −1.63054 + 0.909674i
\(281\) 9.10391 + 9.10391i 0.543094 + 0.543094i 0.924435 0.381341i \(-0.124538\pi\)
−0.381341 + 0.924435i \(0.624538\pi\)
\(282\) −9.06008 −0.539520
\(283\) 30.9114 1.83749 0.918747 0.394846i \(-0.129202\pi\)
0.918747 + 0.394846i \(0.129202\pi\)
\(284\) 3.98525 + 3.98525i 0.236481 + 0.236481i
\(285\) 2.99198 5.18225i 0.177229 0.306970i
\(286\) 5.79842 22.2300i 0.342868 1.31449i
\(287\) 3.29564 11.6133i 0.194536 0.685511i
\(288\) −1.05533 3.93855i −0.0621860 0.232081i
\(289\) −2.17684 3.77040i −0.128050 0.221788i
\(290\) 10.1651 17.6065i 0.596916 1.03389i
\(291\) 6.11203 + 1.63771i 0.358294 + 0.0960045i
\(292\) −0.628450 0.628450i −0.0367772 0.0367772i
\(293\) 2.88517 + 0.773079i 0.168553 + 0.0451637i 0.342109 0.939660i \(-0.388859\pi\)
−0.173555 + 0.984824i \(0.555526\pi\)
\(294\) 7.55195 1.78716i 0.440438 0.104229i
\(295\) −27.0715 46.8891i −1.57616 2.72999i
\(296\) 6.72055 3.88011i 0.390624 0.225527i
\(297\) 4.06398 4.06398i 0.235816 0.235816i
\(298\) 8.00812 4.62349i 0.463898 0.267832i
\(299\) −15.0397 3.92294i −0.869770 0.226869i
\(300\) 7.53694i 0.435145i
\(301\) 0.119536 8.12396i 0.00688994 0.468258i
\(302\) −9.32961 + 16.1594i −0.536859 + 0.929867i
\(303\) 4.73048i 0.271759i
\(304\) 0.750963 2.80263i 0.0430707 0.160742i
\(305\) 3.53735 + 13.2016i 0.202548 + 0.755919i
\(306\) 3.62255 3.62255i 0.207088 0.207088i
\(307\) −4.63406 + 4.63406i −0.264480 + 0.264480i −0.826871 0.562391i \(-0.809881\pi\)
0.562391 + 0.826871i \(0.309881\pi\)
\(308\) 11.2771 + 3.20023i 0.642570 + 0.182350i
\(309\) −5.28110 3.04904i −0.300431 0.173454i
\(310\) −4.23579 + 15.8082i −0.240577 + 0.897845i
\(311\) −8.47587 14.6806i −0.480622 0.832462i 0.519131 0.854695i \(-0.326256\pi\)
−0.999753 + 0.0222327i \(0.992923\pi\)
\(312\) −11.0758 + 0.0736159i −0.627046 + 0.00416768i
\(313\) 19.2841 + 11.1337i 1.09000 + 0.629312i 0.933576 0.358379i \(-0.116670\pi\)
0.156423 + 0.987690i \(0.450004\pi\)
\(314\) −15.9545 + 4.27501i −0.900367 + 0.241252i
\(315\) −2.77655 + 9.78408i −0.156441 + 0.551271i
\(316\) −5.79291 + 3.34454i −0.325877 + 0.188145i
\(317\) 7.99803 + 29.8490i 0.449214 + 1.67649i 0.704564 + 0.709640i \(0.251143\pi\)
−0.255350 + 0.966849i \(0.582191\pi\)
\(318\) 2.93312 0.785928i 0.164481 0.0440727i
\(319\) −26.4832 + 7.09614i −1.48277 + 0.397308i
\(320\) −8.20637 30.6266i −0.458750 1.71208i
\(321\) 8.78060 5.06948i 0.490085 0.282951i
\(322\) −3.45199 + 12.1642i −0.192372 + 0.677887i
\(323\) −6.94830 + 1.86179i −0.386614 + 0.103593i
\(324\) −0.667621 0.385451i −0.0370900 0.0214139i
\(325\) −34.1094 8.89704i −1.89205 0.493519i
\(326\) 0.845198 + 1.46393i 0.0468112 + 0.0810793i
\(327\) −1.43688 + 5.36251i −0.0794597 + 0.296548i
\(328\) 12.1386 + 7.00825i 0.670245 + 0.386966i
\(329\) −20.8003 5.90274i −1.14676 0.325429i
\(330\) 17.3195 17.3195i 0.953406 0.953406i
\(331\) −20.1091 + 20.1091i −1.10530 + 1.10530i −0.111539 + 0.993760i \(0.535578\pi\)
−0.993760 + 0.111539i \(0.964422\pi\)
\(332\) −0.303772 1.13369i −0.0166717 0.0622195i
\(333\) 0.653817 2.44008i 0.0358289 0.133715i
\(334\) 19.5469i 1.06956i
\(335\) 11.9033 20.6170i 0.650344 1.12643i
\(336\) −0.0725533 + 4.93090i −0.00395811 + 0.269003i
\(337\) 12.0750i 0.657769i −0.944370 0.328885i \(-0.893327\pi\)
0.944370 0.328885i \(-0.106673\pi\)
\(338\) −3.54483 + 13.9697i −0.192813 + 0.759850i
\(339\) −6.35076 + 3.66662i −0.344926 + 0.199143i
\(340\) −9.68301 + 9.68301i −0.525135 + 0.525135i
\(341\) 19.1140 11.0355i 1.03508 0.597606i
\(342\) −0.862902 1.49459i −0.0466604 0.0808182i
\(343\) 18.5022 + 0.817197i 0.999026 + 0.0441245i
\(344\) 9.11222 + 2.44161i 0.491298 + 0.131643i
\(345\) −11.7175 11.7175i −0.630851 0.630851i
\(346\) −22.9367 6.14587i −1.23309 0.330404i
\(347\) −17.9357 + 31.0656i −0.962839 + 1.66769i −0.247527 + 0.968881i \(0.579618\pi\)
−0.715312 + 0.698806i \(0.753715\pi\)
\(348\) 1.83877 + 3.18485i 0.0985686 + 0.170726i
\(349\) −1.04779 3.91041i −0.0560869 0.209319i 0.932196 0.361955i \(-0.117891\pi\)
−0.988283 + 0.152636i \(0.951224\pi\)
\(350\) −7.82896 + 27.5879i −0.418476 + 1.47464i
\(351\) −2.53251 + 2.56640i −0.135175 + 0.136984i
\(352\) −11.7174 + 20.2951i −0.624537 + 1.08173i
\(353\) −15.5508 15.5508i −0.827688 0.827688i 0.159508 0.987197i \(-0.449009\pi\)
−0.987197 + 0.159508i \(0.949009\pi\)
\(354\) −15.6151 −0.829933
\(355\) 28.1036 1.49158
\(356\) −4.94916 4.94916i −0.262305 0.262305i
\(357\) 10.6768 5.95658i 0.565079 0.315256i
\(358\) −5.00906 + 18.6941i −0.264737 + 0.988013i
\(359\) 10.8169 2.89839i 0.570896 0.152971i 0.0381885 0.999271i \(-0.487841\pi\)
0.532707 + 0.846299i \(0.321175\pi\)
\(360\) −10.2267 5.90438i −0.538994 0.311188i
\(361\) 16.5768i 0.872461i
\(362\) 20.5928 + 5.51783i 1.08233 + 0.290010i
\(363\) −22.0319 −1.15637
\(364\) −7.08777 1.96058i −0.371500 0.102762i
\(365\) −4.43176 −0.231969
\(366\) 3.80740 + 1.02019i 0.199016 + 0.0533262i
\(367\) 9.54253i 0.498116i 0.968489 + 0.249058i \(0.0801210\pi\)
−0.968489 + 0.249058i \(0.919879\pi\)
\(368\) −6.95851 4.01750i −0.362737 0.209427i
\(369\) 4.40726 1.18092i 0.229433 0.0614764i
\(370\) 2.78637 10.3989i 0.144857 0.540612i
\(371\) 7.24595 + 0.106617i 0.376191 + 0.00553528i
\(372\) −2.09334 2.09334i −0.108534 0.108534i
\(373\) 4.72187 0.244489 0.122245 0.992500i \(-0.460991\pi\)
0.122245 + 0.992500i \(0.460991\pi\)
\(374\) −29.4440 −1.52251
\(375\) −12.9841 12.9841i −0.670493 0.670493i
\(376\) 12.5523 21.7412i 0.647335 1.12122i
\(377\) 16.5841 4.56204i 0.854123 0.234957i
\(378\) 2.04335 + 2.10438i 0.105099 + 0.108238i
\(379\) 3.85850 + 14.4001i 0.198198 + 0.739684i 0.991416 + 0.130747i \(0.0417374\pi\)
−0.793218 + 0.608938i \(0.791596\pi\)
\(380\) 2.30652 + 3.99501i 0.118322 + 0.204940i
\(381\) 3.72793 6.45696i 0.190988 0.330800i
\(382\) −9.64018 2.58308i −0.493235 0.132162i
\(383\) −20.4402 20.4402i −1.04445 1.04445i −0.998965 0.0454798i \(-0.985518\pi\)
−0.0454798 0.998965i \(-0.514482\pi\)
\(384\) −0.955769 0.256097i −0.0487739 0.0130689i
\(385\) 51.0462 28.4785i 2.60155 1.45140i
\(386\) 11.1603 + 19.3303i 0.568046 + 0.983884i
\(387\) 2.65948 1.53545i 0.135189 0.0780514i
\(388\) −3.44926 + 3.44926i −0.175110 + 0.175110i
\(389\) 5.36999 3.10036i 0.272269 0.157195i −0.357649 0.933856i \(-0.616422\pi\)
0.629918 + 0.776661i \(0.283088\pi\)
\(390\) −10.7928 + 10.9372i −0.546515 + 0.553828i
\(391\) 19.9204i 1.00742i
\(392\) −6.17426 + 20.5982i −0.311847 + 1.04037i
\(393\) −1.13324 + 1.96283i −0.0571644 + 0.0990117i
\(394\) 12.3595i 0.622661i
\(395\) −8.63284 + 32.2182i −0.434365 + 1.62107i
\(396\) 1.14673 + 4.27966i 0.0576255 + 0.215061i
\(397\) −19.9017 + 19.9017i −0.998837 + 0.998837i −0.999999 0.00116213i \(-0.999630\pi\)
0.00116213 + 0.999999i \(0.499630\pi\)
\(398\) 12.4749 12.4749i 0.625309 0.625309i
\(399\) −1.00732 3.99349i −0.0504291 0.199925i
\(400\) −15.7816 9.11150i −0.789079 0.455575i
\(401\) 9.48075 35.3826i 0.473446 1.76692i −0.153799 0.988102i \(-0.549151\pi\)
0.627245 0.778822i \(-0.284183\pi\)
\(402\) −3.43296 5.94606i −0.171221 0.296563i
\(403\) −11.9448 + 7.00258i −0.595012 + 0.348823i
\(404\) −3.15817 1.82337i −0.157125 0.0907160i
\(405\) −3.71307 + 0.994915i −0.184504 + 0.0494377i
\(406\) −3.42233 13.5677i −0.169848 0.673355i
\(407\) −12.5735 + 7.25933i −0.623247 + 0.359832i
\(408\) 3.67407 + 13.7118i 0.181893 + 0.678836i
\(409\) −15.7231 + 4.21300i −0.777459 + 0.208319i −0.625664 0.780093i \(-0.715172\pi\)
−0.151795 + 0.988412i \(0.548505\pi\)
\(410\) 18.7824 5.03274i 0.927599 0.248549i
\(411\) 1.66255 + 6.20474i 0.0820078 + 0.306057i
\(412\) 4.07121 2.35051i 0.200574 0.115801i
\(413\) −35.8494 10.1734i −1.76403 0.500601i
\(414\) −4.61635 + 1.23695i −0.226881 + 0.0607926i
\(415\) −5.06843 2.92626i −0.248799 0.143644i
\(416\) 7.26602 12.7805i 0.356246 0.626617i
\(417\) 3.80636 + 6.59281i 0.186398 + 0.322851i
\(418\) −2.56717 + 9.58081i −0.125564 + 0.468613i
\(419\) 22.6793 + 13.0939i 1.10796 + 0.639678i 0.938299 0.345825i \(-0.112401\pi\)
0.169656 + 0.985503i \(0.445734\pi\)
\(420\) −5.46183 5.62496i −0.266510 0.274470i
\(421\) −26.3922 + 26.3922i −1.28628 + 1.28628i −0.349245 + 0.937031i \(0.613562\pi\)
−0.937031 + 0.349245i \(0.886438\pi\)
\(422\) 7.50491 7.50491i 0.365333 0.365333i
\(423\) −2.11512 7.89374i −0.102841 0.383807i
\(424\) −2.17773 + 8.12740i −0.105760 + 0.394701i
\(425\) 45.1786i 2.19148i
\(426\) 4.05261 7.01933i 0.196350 0.340087i
\(427\) 8.07643 + 4.82273i 0.390846 + 0.233388i
\(428\) 7.81615i 0.377808i
\(429\) 20.7219 0.137729i 1.00046 0.00664960i
\(430\) 11.3339 6.54364i 0.546570 0.315562i
\(431\) −19.8513 + 19.8513i −0.956203 + 0.956203i −0.999080 0.0428775i \(-0.986347\pi\)
0.0428775 + 0.999080i \(0.486347\pi\)
\(432\) −1.61419 + 0.931953i −0.0776628 + 0.0448386i
\(433\) −9.31037 16.1260i −0.447428 0.774968i 0.550790 0.834644i \(-0.314327\pi\)
−0.998218 + 0.0596761i \(0.980993\pi\)
\(434\) 5.48793 + 9.83682i 0.263429 + 0.472183i
\(435\) 17.7130 + 4.74619i 0.849275 + 0.227563i
\(436\) −3.02628 3.02628i −0.144932 0.144932i
\(437\) 6.48192 + 1.73682i 0.310072 + 0.0830836i
\(438\) −0.639072 + 1.10690i −0.0305360 + 0.0528900i
\(439\) 2.59308 + 4.49135i 0.123761 + 0.214360i 0.921248 0.388976i \(-0.127171\pi\)
−0.797487 + 0.603336i \(0.793838\pi\)
\(440\) 17.5658 + 65.5564i 0.837416 + 3.12528i
\(441\) 3.32013 + 6.16253i 0.158101 + 0.293454i
\(442\) 18.4711 0.122769i 0.878579 0.00583950i
\(443\) −11.6044 + 20.0994i −0.551342 + 0.954953i 0.446836 + 0.894616i \(0.352551\pi\)
−0.998178 + 0.0603368i \(0.980783\pi\)
\(444\) 1.37703 + 1.37703i 0.0653510 + 0.0653510i
\(445\) −34.9010 −1.65446
\(446\) 9.73863 0.461138
\(447\) 5.89782 + 5.89782i 0.278957 + 0.278957i
\(448\) −18.7367 11.1884i −0.885225 0.528600i
\(449\) 1.28402 4.79203i 0.0605967 0.226150i −0.928986 0.370114i \(-0.879318\pi\)
0.989583 + 0.143965i \(0.0459851\pi\)
\(450\) −10.4697 + 2.80534i −0.493545 + 0.132245i
\(451\) −22.7103 13.1118i −1.06939 0.617410i
\(452\) 5.65320i 0.265904i
\(453\) −16.2571 4.35609i −0.763827 0.204667i
\(454\) 2.58275 0.121214
\(455\) −31.9040 + 18.0782i −1.49568 + 0.847520i
\(456\) 4.78203 0.223939
\(457\) −3.48801 0.934609i −0.163162 0.0437192i 0.176313 0.984334i \(-0.443583\pi\)
−0.339475 + 0.940615i \(0.610250\pi\)
\(458\) 24.6851i 1.15346i
\(459\) 4.00191 + 2.31050i 0.186793 + 0.107845i
\(460\) 12.3394 3.30633i 0.575328 0.154159i
\(461\) −3.50748 + 13.0901i −0.163360 + 0.609667i 0.834884 + 0.550426i \(0.185535\pi\)
−0.998244 + 0.0592409i \(0.981132\pi\)
\(462\) 0.248024 16.8563i 0.0115391 0.784226i
\(463\) −23.6680 23.6680i −1.09994 1.09994i −0.994416 0.105527i \(-0.966347\pi\)
−0.105527 0.994416i \(-0.533653\pi\)
\(464\) 8.89167 0.412785
\(465\) −14.7620 −0.684571
\(466\) −20.7337 20.7337i −0.960472 0.960472i
\(467\) 3.62452 6.27785i 0.167723 0.290504i −0.769896 0.638169i \(-0.779692\pi\)
0.937619 + 0.347665i \(0.113025\pi\)
\(468\) −0.737223 2.67998i −0.0340781 0.123882i
\(469\) −4.00752 15.8877i −0.185050 0.733625i
\(470\) −9.01402 33.6408i −0.415786 1.55173i
\(471\) −7.44933 12.9026i −0.343247 0.594521i
\(472\) 21.6340 37.4711i 0.995784 1.72475i
\(473\) −17.0481 4.56803i −0.783873 0.210038i
\(474\) 6.80214 + 6.80214i 0.312433 + 0.312433i
\(475\) 14.7007 + 3.93904i 0.674514 + 0.180736i
\(476\) −0.138666 + 9.42405i −0.00635572 + 0.431951i
\(477\) 1.36950 + 2.37205i 0.0627053 + 0.108609i
\(478\) 21.4877 12.4059i 0.982824 0.567434i
\(479\) −4.13756 + 4.13756i −0.189050 + 0.189050i −0.795285 0.606235i \(-0.792679\pi\)
0.606235 + 0.795285i \(0.292679\pi\)
\(480\) 13.5742 7.83705i 0.619573 0.357711i
\(481\) 7.85747 4.60641i 0.358270 0.210034i
\(482\) 19.5987i 0.892695i
\(483\) −11.4042 0.167801i −0.518907 0.00763521i
\(484\) 8.49222 14.7090i 0.386010 0.668589i
\(485\) 24.3238i 1.10449i
\(486\) −0.286939 + 1.07087i −0.0130158 + 0.0485757i
\(487\) 3.50269 + 13.0722i 0.158722 + 0.592358i 0.998758 + 0.0498275i \(0.0158672\pi\)
−0.840036 + 0.542531i \(0.817466\pi\)
\(488\) −7.72309 + 7.72309i −0.349608 + 0.349608i
\(489\) −1.07815 + 1.07815i −0.0487557 + 0.0487557i
\(490\) 14.1494 + 26.2629i 0.639204 + 1.18644i
\(491\) 12.2888 + 7.09496i 0.554588 + 0.320191i 0.750970 0.660336i \(-0.229586\pi\)
−0.196383 + 0.980527i \(0.562919\pi\)
\(492\) −0.910375 + 3.39757i −0.0410429 + 0.153174i
\(493\) −11.0221 19.0909i −0.496412 0.859811i
\(494\) 1.57051 6.02102i 0.0706607 0.270899i
\(495\) 19.1332 + 11.0466i 0.859973 + 0.496506i
\(496\) −6.91390 + 1.85257i −0.310443 + 0.0831830i
\(497\) 13.8772 13.4748i 0.622478 0.604425i
\(498\) −1.46176 + 0.843948i −0.0655031 + 0.0378182i
\(499\) −10.3975 38.8038i −0.465454 1.73710i −0.655379 0.755300i \(-0.727491\pi\)
0.189925 0.981799i \(-0.439175\pi\)
\(500\) 13.6731 3.66371i 0.611481 0.163846i
\(501\) 17.0305 4.56332i 0.760868 0.203874i
\(502\) −2.94813 11.0026i −0.131582 0.491070i
\(503\) 0.0239636 0.0138354i 0.00106848 0.000616889i −0.499466 0.866334i \(-0.666470\pi\)
0.500534 + 0.865717i \(0.333137\pi\)
\(504\) −7.88078 + 1.98785i −0.351038 + 0.0885460i
\(505\) −17.5646 + 4.70643i −0.781616 + 0.209433i
\(506\) 23.7877 + 13.7338i 1.05749 + 0.610543i
\(507\) −12.9989 + 0.172802i −0.577299 + 0.00767442i
\(508\) 2.87387 + 4.97769i 0.127507 + 0.220849i
\(509\) 0.681003 2.54154i 0.0301849 0.112652i −0.949190 0.314704i \(-0.898095\pi\)
0.979375 + 0.202053i \(0.0647613\pi\)
\(510\) 17.0549 + 9.84668i 0.755206 + 0.436018i
\(511\) −2.18835 + 2.12489i −0.0968070 + 0.0939994i
\(512\) 13.4716 13.4716i 0.595366 0.595366i
\(513\) 1.10074 1.10074i 0.0485987 0.0485987i
\(514\) −1.77138 6.61088i −0.0781322 0.291593i
\(515\) 6.06708 22.6426i 0.267347 0.997754i
\(516\) 2.36736i 0.104217i
\(517\) −23.4842 + 40.6758i −1.03283 + 1.78892i
\(518\) −3.61005 6.47082i −0.158617 0.284312i
\(519\) 21.4187i 0.940179i
\(520\) −11.2929 41.0522i −0.495225 1.80026i
\(521\) −2.78999 + 1.61080i −0.122232 + 0.0705705i −0.559869 0.828581i \(-0.689149\pi\)
0.437638 + 0.899151i \(0.355815\pi\)
\(522\) 3.73971 3.73971i 0.163683 0.163683i
\(523\) 1.92569 1.11180i 0.0842045 0.0486155i −0.457307 0.889309i \(-0.651186\pi\)
0.541511 + 0.840694i \(0.317852\pi\)
\(524\) −0.873617 1.51315i −0.0381641 0.0661022i
\(525\) −25.8641 0.380565i −1.12880 0.0166092i
\(526\) −4.60302 1.23337i −0.200701 0.0537777i
\(527\) 12.5481 + 12.5481i 0.546602 + 0.546602i
\(528\) 10.3475 + 2.77260i 0.450316 + 0.120662i
\(529\) −2.20835 + 3.82497i −0.0960151 + 0.166303i
\(530\) 5.83642 + 10.1090i 0.253518 + 0.439106i
\(531\) −3.64542 13.6049i −0.158198 0.590402i
\(532\) 3.05441 + 0.866787i 0.132426 + 0.0375800i
\(533\) 14.3015 + 8.13071i 0.619466 + 0.352180i
\(534\) −5.03281 + 8.71708i −0.217791 + 0.377225i
\(535\) 27.5593 + 27.5593i 1.19149 + 1.19149i
\(536\) 19.0248 0.821746
\(537\) −17.4569 −0.753321
\(538\) 16.9474 + 16.9474i 0.730654 + 0.730654i
\(539\) 11.5515 38.5373i 0.497557 1.65992i
\(540\) 0.766982 2.86242i 0.0330057 0.123179i
\(541\) 32.1469 8.61373i 1.38210 0.370333i 0.510218 0.860045i \(-0.329565\pi\)
0.871884 + 0.489712i \(0.162898\pi\)
\(542\) 19.9650 + 11.5268i 0.857569 + 0.495118i
\(543\) 19.2300i 0.825237i
\(544\) −18.2001 4.87669i −0.780322 0.209087i
\(545\) −21.3410 −0.914147
\(546\) −0.0853090 + 10.5755i −0.00365089 + 0.452589i
\(547\) 13.0362 0.557386 0.278693 0.960380i \(-0.410099\pi\)
0.278693 + 0.960380i \(0.410099\pi\)
\(548\) −4.78324 1.28167i −0.204330 0.0547501i
\(549\) 3.55543i 0.151742i
\(550\) 53.9494 + 31.1477i 2.30041 + 1.32814i
\(551\) −7.17301 + 1.92200i −0.305580 + 0.0818800i
\(552\) 3.42746 12.7914i 0.145882 0.544440i
\(553\) 11.1848 + 20.0481i 0.475626 + 0.852533i
\(554\) 0.121280 + 0.121280i 0.00515269 + 0.00515269i
\(555\) 9.71068 0.412195
\(556\) −5.86866 −0.248887
\(557\) −18.3312 18.3312i −0.776717 0.776717i 0.202554 0.979271i \(-0.435076\pi\)
−0.979271 + 0.202554i \(0.935076\pi\)
\(558\) −2.12872 + 3.68705i −0.0901159 + 0.156085i
\(559\) 10.7138 + 2.79457i 0.453147 + 0.118198i
\(560\) −18.3810 + 4.63643i −0.776738 + 0.195925i
\(561\) −6.87384 25.6535i −0.290214 1.08309i
\(562\) 7.13685 + 12.3614i 0.301050 + 0.521433i
\(563\) 4.45278 7.71244i 0.187662 0.325041i −0.756808 0.653637i \(-0.773242\pi\)
0.944470 + 0.328597i \(0.106576\pi\)
\(564\) 6.08530 + 1.63055i 0.256237 + 0.0686586i
\(565\) −19.9329 19.9329i −0.838583 0.838583i
\(566\) 33.1022 + 8.86970i 1.39139 + 0.372821i
\(567\) −1.35644 + 2.27158i −0.0569652 + 0.0953973i
\(568\) 11.2294 + 19.4499i 0.471175 + 0.816098i
\(569\) −1.35687 + 0.783391i −0.0568831 + 0.0328415i −0.528172 0.849138i \(-0.677122\pi\)
0.471289 + 0.881979i \(0.343789\pi\)
\(570\) 4.69101 4.69101i 0.196485 0.196485i
\(571\) 20.1198 11.6162i 0.841987 0.486121i −0.0159524 0.999873i \(-0.505078\pi\)
0.857939 + 0.513752i \(0.171745\pi\)
\(572\) −7.89531 + 13.8874i −0.330120 + 0.580663i
\(573\) 9.00219i 0.376072i
\(574\) 6.86151 11.4907i 0.286394 0.479612i
\(575\) 21.0730 36.4996i 0.878807 1.52214i
\(576\) 8.24831i 0.343680i
\(577\) 4.76220 17.7728i 0.198253 0.739891i −0.793147 0.609030i \(-0.791559\pi\)
0.991401 0.130861i \(-0.0417743\pi\)
\(578\) −1.24924 4.66224i −0.0519616 0.193924i
\(579\) −14.2364 + 14.2364i −0.591643 + 0.591643i
\(580\) −9.99616 + 9.99616i −0.415068 + 0.415068i
\(581\) −3.90578 + 0.985195i −0.162039 + 0.0408728i
\(582\) 6.07527 + 3.50756i 0.251828 + 0.145393i
\(583\) 4.07433 15.2056i 0.168742 0.629752i
\(584\) −1.77081 3.06712i −0.0732764 0.126919i
\(585\) −12.0489 6.85004i −0.498159 0.283214i
\(586\) 2.86782 + 1.65574i 0.118468 + 0.0683978i
\(587\) −6.57864 + 1.76274i −0.271529 + 0.0727561i −0.392014 0.919959i \(-0.628222\pi\)
0.120485 + 0.992715i \(0.461555\pi\)
\(588\) −5.39398 0.158768i −0.222444 0.00654750i
\(589\) 5.17707 2.98898i 0.213317 0.123159i
\(590\) −15.5357 57.9800i −0.639595 2.38700i
\(591\) −10.7684 + 2.88538i −0.442952 + 0.118689i
\(592\) 4.54808 1.21865i 0.186925 0.0500863i
\(593\) −1.03386 3.85840i −0.0424553 0.158445i 0.941444 0.337170i \(-0.109470\pi\)
−0.983899 + 0.178724i \(0.942803\pi\)
\(594\) 5.51811 3.18588i 0.226411 0.130718i
\(595\) 32.7398 + 33.7176i 1.34220 + 1.38229i
\(596\) −6.21083 + 1.66419i −0.254405 + 0.0681677i
\(597\) 13.7813 + 7.95661i 0.564029 + 0.325642i
\(598\) −14.9800 8.51644i −0.612576 0.348263i
\(599\) 4.74572 + 8.21983i 0.193905 + 0.335853i 0.946541 0.322584i \(-0.104551\pi\)
−0.752636 + 0.658437i \(0.771218\pi\)
\(600\) 7.77332 29.0104i 0.317344 1.18435i
\(601\) −7.78855 4.49672i −0.317702 0.183425i 0.332666 0.943045i \(-0.392052\pi\)
−0.650368 + 0.759620i \(0.725385\pi\)
\(602\) 2.45909 8.66542i 0.100225 0.353176i
\(603\) 4.37916 4.37916i 0.178333 0.178333i
\(604\) 9.17454 9.17454i 0.373307 0.373307i
\(605\) −21.9199 81.8061i −0.891170 3.32589i
\(606\) −1.35736 + 5.06574i −0.0551390 + 0.205781i
\(607\) 12.8612i 0.522019i −0.965336 0.261010i \(-0.915945\pi\)
0.965336 0.261010i \(-0.0840555\pi\)
\(608\) −3.17366 + 5.49695i −0.128709 + 0.222931i
\(609\) 11.0221 6.14921i 0.446639 0.249179i
\(610\) 15.1522i 0.613494i
\(611\) 14.5627 25.6150i 0.589144 1.03627i
\(612\) −3.08508 + 1.78117i −0.124707 + 0.0719996i
\(613\) −11.5678 + 11.5678i −0.467219 + 0.467219i −0.901012 0.433793i \(-0.857175\pi\)
0.433793 + 0.901012i \(0.357175\pi\)
\(614\) −6.29217 + 3.63279i −0.253931 + 0.146607i
\(615\) 8.76971 + 15.1896i 0.353629 + 0.612503i
\(616\) 40.1059 + 23.9487i 1.61591 + 0.964922i
\(617\) 24.1217 + 6.46340i 0.971105 + 0.260207i 0.709294 0.704913i \(-0.249014\pi\)
0.261811 + 0.965119i \(0.415680\pi\)
\(618\) −4.78048 4.78048i −0.192299 0.192299i
\(619\) 25.0770 + 6.71937i 1.00793 + 0.270074i 0.724765 0.688996i \(-0.241948\pi\)
0.283167 + 0.959071i \(0.408615\pi\)
\(620\) 5.69002 9.85541i 0.228517 0.395803i
\(621\) −2.15542 3.73329i −0.0864939 0.149812i
\(622\) −4.86411 18.1531i −0.195033 0.727874i
\(623\) −17.2337 + 16.7339i −0.690453 + 0.670429i
\(624\) −6.50284 1.69619i −0.260322 0.0679018i
\(625\) 10.8508 18.7941i 0.434031 0.751763i
\(626\) 17.4561 + 17.4561i 0.697684 + 0.697684i
\(627\) −8.94674 −0.357299
\(628\) 11.4854 0.458317
\(629\) −8.25432 8.25432i −0.329121 0.329121i
\(630\) −5.78076 + 9.68079i −0.230311 + 0.385692i
\(631\) −7.65427 + 28.5661i −0.304712 + 1.13720i 0.628481 + 0.777825i \(0.283677\pi\)
−0.933193 + 0.359375i \(0.882990\pi\)
\(632\) −25.7469 + 6.89887i −1.02416 + 0.274422i
\(633\) 8.29082 + 4.78671i 0.329531 + 0.190255i
\(634\) 34.2594i 1.36061i
\(635\) 27.6842 + 7.41795i 1.09861 + 0.294372i
\(636\) −2.11151 −0.0837267
\(637\) −7.08589 + 24.2238i −0.280753 + 0.959780i
\(638\) −30.3962 −1.20340
\(639\) 7.06180 + 1.89220i 0.279360 + 0.0748544i
\(640\) 3.80364i 0.150352i
\(641\) −0.189987 0.109689i −0.00750402 0.00433245i 0.496243 0.868183i \(-0.334712\pi\)
−0.503747 + 0.863851i \(0.668046\pi\)
\(642\) 10.8575 2.90926i 0.428512 0.114819i
\(643\) −9.08673 + 33.9121i −0.358346 + 1.33736i 0.517876 + 0.855456i \(0.326723\pi\)
−0.876222 + 0.481908i \(0.839944\pi\)
\(644\) 4.50777 7.54898i 0.177631 0.297471i
\(645\) 8.34720 + 8.34720i 0.328671 + 0.328671i
\(646\) −7.97495 −0.313770
\(647\) 0.933583 0.0367029 0.0183515 0.999832i \(-0.494158\pi\)
0.0183515 + 0.999832i \(0.494158\pi\)
\(648\) −2.17220 2.17220i −0.0853320 0.0853320i
\(649\) −40.4751 + 70.1050i −1.58879 + 2.75186i
\(650\) −33.9739 19.3149i −1.33257 0.757593i
\(651\) −7.28930 + 7.07790i −0.285690 + 0.277405i
\(652\) −0.304222 1.13537i −0.0119142 0.0444646i
\(653\) 8.62327 + 14.9359i 0.337455 + 0.584489i 0.983953 0.178426i \(-0.0571007\pi\)
−0.646498 + 0.762915i \(0.723767\pi\)
\(654\) −3.07743 + 5.33026i −0.120337 + 0.208430i
\(655\) −8.41561 2.25496i −0.328825 0.0881084i
\(656\) 6.01360 + 6.01360i 0.234791 + 0.234791i
\(657\) −1.11360 0.298389i −0.0434458 0.0116413i
\(658\) −20.5807 12.2895i −0.802318 0.479094i
\(659\) −22.3566 38.7228i −0.870890 1.50843i −0.861077 0.508474i \(-0.830210\pi\)
−0.00981263 0.999952i \(-0.503124\pi\)
\(660\) −14.7498 + 8.51581i −0.574136 + 0.331477i
\(661\) −13.3671 + 13.3671i −0.519919 + 0.519919i −0.917547 0.397628i \(-0.869833\pi\)
0.397628 + 0.917547i \(0.369833\pi\)
\(662\) −27.3044 + 15.7642i −1.06122 + 0.612693i
\(663\) 4.41912 + 16.0645i 0.171625 + 0.623895i
\(664\) 4.67700i 0.181503i
\(665\) 13.8259 7.71345i 0.536147 0.299115i
\(666\) 1.40031 2.42540i 0.0542608 0.0939824i
\(667\) 20.5646i 0.796265i
\(668\) −3.51787 + 13.1289i −0.136110 + 0.507971i
\(669\) 2.27353 + 8.48493i 0.0878998 + 0.328047i
\(670\) 18.6627 18.6627i 0.721002 0.721002i
\(671\) 14.4492 14.4492i 0.557805 0.557805i
\(672\) 2.94515 10.3782i 0.113612 0.400349i
\(673\) 6.19437 + 3.57632i 0.238776 + 0.137857i 0.614614 0.788828i \(-0.289312\pi\)
−0.375838 + 0.926685i \(0.622645\pi\)
\(674\) 3.46480 12.9308i 0.133459 0.498076i
\(675\) −4.88839 8.46694i −0.188154 0.325893i
\(676\) 4.89505 8.74491i 0.188271 0.336343i
\(677\) −24.7981 14.3172i −0.953068 0.550254i −0.0590355 0.998256i \(-0.518803\pi\)
−0.894033 + 0.448002i \(0.852136\pi\)
\(678\) −7.85294 + 2.10419i −0.301590 + 0.0808109i
\(679\) 11.6625 + 12.0108i 0.447565 + 0.460933i
\(680\) −47.2576 + 27.2842i −1.81225 + 1.04630i
\(681\) 0.602956 + 2.25026i 0.0231053 + 0.0862302i
\(682\) 23.6352 6.33303i 0.905038 0.242504i
\(683\) 16.7683 4.49305i 0.641621 0.171922i 0.0766836 0.997055i \(-0.475567\pi\)
0.564938 + 0.825134i \(0.308900\pi\)
\(684\) 0.310594 + 1.15915i 0.0118759 + 0.0443214i
\(685\) −21.3846 + 12.3464i −0.817062 + 0.471731i
\(686\) 19.5790 + 6.18412i 0.747530 + 0.236111i
\(687\) −21.5073 + 5.76286i −0.820554 + 0.219867i
\(688\) 4.95702 + 2.86194i 0.188985 + 0.109110i
\(689\) −2.49254 + 9.55591i −0.0949584 + 0.364051i
\(690\) −9.18575 15.9102i −0.349696 0.605691i
\(691\) 7.74711 28.9126i 0.294714 1.09989i −0.646730 0.762719i \(-0.723864\pi\)
0.941444 0.337169i \(-0.109469\pi\)
\(692\) 14.2996 + 8.25588i 0.543589 + 0.313841i
\(693\) 14.7442 3.71909i 0.560086 0.141277i
\(694\) −28.1207 + 28.1207i −1.06745 + 1.06745i
\(695\) −20.6926 + 20.6926i −0.784915 + 0.784915i
\(696\) 3.79289 + 14.1552i 0.143769 + 0.536553i
\(697\) 5.45705 20.3660i 0.206700 0.771417i
\(698\) 4.48819i 0.169881i
\(699\) 13.2242 22.9050i 0.500185 0.866346i
\(700\) 10.2234 17.1207i 0.386409 0.647103i
\(701\) 22.5795i 0.852816i 0.904531 + 0.426408i \(0.140221\pi\)
−0.904531 + 0.426408i \(0.859779\pi\)
\(702\) −3.44839 + 2.02161i −0.130151 + 0.0763006i
\(703\) −3.40556 + 1.96620i −0.128443 + 0.0741567i
\(704\) −33.5210 + 33.5210i −1.26337 + 1.26337i
\(705\) 27.2057 15.7072i 1.02462 0.591567i
\(706\) −12.1908 21.1151i −0.458807 0.794677i
\(707\) −6.41663 + 10.7457i −0.241322 + 0.404132i
\(708\) 10.4880 + 2.81026i 0.394165 + 0.105616i
\(709\) −17.9835 17.9835i −0.675386 0.675386i 0.283567 0.958952i \(-0.408482\pi\)
−0.958952 + 0.283567i \(0.908482\pi\)
\(710\) 30.0953 + 8.06401i 1.12946 + 0.302637i
\(711\) −4.33848 + 7.51446i −0.162706 + 0.281814i
\(712\) −13.9454 24.1542i −0.522627 0.905216i
\(713\) −4.28462 15.9904i −0.160460 0.598847i
\(714\) 13.1427 3.31512i 0.491853 0.124065i
\(715\) 21.1279 + 76.8048i 0.790139 + 2.87234i
\(716\) 6.72878 11.6546i 0.251466 0.435552i
\(717\) 15.8253 + 15.8253i 0.591005 + 0.591005i
\(718\) 12.4152 0.463331
\(719\) 36.3399 1.35525 0.677626 0.735407i \(-0.263009\pi\)
0.677626 + 0.735407i \(0.263009\pi\)
\(720\) −5.06640 5.06640i −0.188813 0.188813i
\(721\) −7.86057 14.0896i −0.292743 0.524726i
\(722\) 4.75652 17.7516i 0.177019 0.660645i
\(723\) 17.0756 4.57540i 0.635050 0.170161i
\(724\) −12.8383 7.41221i −0.477132 0.275473i
\(725\) 46.6396i 1.73215i
\(726\) −23.5933 6.32181i −0.875630 0.234624i
\(727\) 15.0539 0.558317 0.279158 0.960245i \(-0.409945\pi\)
0.279158 + 0.960245i \(0.409945\pi\)
\(728\) −25.2595 14.8565i −0.936178 0.550619i
\(729\) −1.00000 −0.0370370
\(730\) −4.74584 1.27164i −0.175652 0.0470657i
\(731\) 14.1907i 0.524860i
\(732\) −2.37368 1.37044i −0.0877336 0.0506530i
\(733\) 21.9533 5.88238i 0.810865 0.217271i 0.170516 0.985355i \(-0.445457\pi\)
0.640349 + 0.768084i \(0.278790\pi\)
\(734\) −2.73812 + 10.2188i −0.101066 + 0.377183i
\(735\) −19.5787 + 18.4591i −0.722171 + 0.680873i
\(736\) 12.4291 + 12.4291i 0.458142 + 0.458142i
\(737\) −35.5936 −1.31111
\(738\) 5.05846 0.186205
\(739\) −30.0914 30.0914i −1.10693 1.10693i −0.993552 0.113379i \(-0.963832\pi\)
−0.113379 0.993552i \(-0.536168\pi\)
\(740\) −3.74299 + 6.48305i −0.137595 + 0.238322i
\(741\) 5.61255 0.0373040i 0.206182 0.00137040i
\(742\) 7.72888 + 2.19332i 0.283736 + 0.0805192i
\(743\) −4.23606 15.8092i −0.155406 0.579984i −0.999070 0.0431122i \(-0.986273\pi\)
0.843664 0.536871i \(-0.180394\pi\)
\(744\) −5.89847 10.2165i −0.216248 0.374553i
\(745\) −16.0312 + 27.7669i −0.587338 + 1.01730i
\(746\) 5.05651 + 1.35489i 0.185132 + 0.0496060i
\(747\) −1.07656 1.07656i −0.0393892 0.0393892i
\(748\) 19.7763 + 5.29906i 0.723095 + 0.193753i
\(749\) 26.8223 + 0.394663i 0.980065 + 0.0144207i
\(750\) −10.1786 17.6299i −0.371670 0.643752i
\(751\) −8.73326 + 5.04215i −0.318681 + 0.183991i −0.650805 0.759245i \(-0.725568\pi\)
0.332123 + 0.943236i \(0.392235\pi\)
\(752\) 10.7708 10.7708i 0.392771 0.392771i
\(753\) 8.89792 5.13722i 0.324258 0.187211i
\(754\) 19.0684 0.126739i 0.694431 0.00461556i
\(755\) 64.6979i 2.35460i
\(756\) −0.993710 1.78117i −0.0361409 0.0647806i
\(757\) 14.8635 25.7444i 0.540224 0.935696i −0.458666 0.888608i \(-0.651673\pi\)
0.998891 0.0470874i \(-0.0149939\pi\)
\(758\) 16.5278i 0.600317i
\(759\) −6.41246 + 23.9316i −0.232757 + 0.868663i
\(760\) 4.75772 + 17.7560i 0.172581 + 0.644080i
\(761\) −19.6541 + 19.6541i −0.712461 + 0.712461i −0.967050 0.254588i \(-0.918060\pi\)
0.254588 + 0.967050i \(0.418060\pi\)
\(762\) 5.84489 5.84489i 0.211738 0.211738i
\(763\) −10.5379 + 10.2323i −0.381499 + 0.370435i
\(764\) 6.01005 + 3.46990i 0.217436 + 0.125537i
\(765\) −4.59751 + 17.1581i −0.166223 + 0.620354i
\(766\) −16.0237 27.7539i −0.578960 1.00279i
\(767\) 25.0989 44.1477i 0.906269 1.59408i
\(768\) 13.3365 + 7.69982i 0.481238 + 0.277843i
\(769\) 32.3580 8.67030i 1.16686 0.312659i 0.377157 0.926149i \(-0.376902\pi\)
0.789702 + 0.613490i \(0.210235\pi\)
\(770\) 62.8354 15.8497i 2.26443 0.571182i
\(771\) 5.34630 3.08669i 0.192542 0.111164i
\(772\) −4.01707 14.9919i −0.144577 0.539570i
\(773\) −52.0720 + 13.9527i −1.87290 + 0.501842i −0.873001 + 0.487719i \(0.837829\pi\)
−0.999900 + 0.0141230i \(0.995504\pi\)