Properties

Label 403.2.k.e.66.8
Level 403
Weight 2
Character 403.66
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.k (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(17\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 66.8
Character \(\chi\) \(=\) 403.66
Dual form 403.2.k.e.287.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0877385 - 0.270031i) q^{2} +(0.851349 - 2.62018i) q^{3} +(1.55282 - 1.12819i) q^{4} +0.880734 q^{5} -0.782228 q^{6} +(-3.90316 + 2.83581i) q^{7} +(-0.900292 - 0.654101i) q^{8} +(-3.71351 - 2.69802i) q^{9} +O(q^{10})\) \(q+(-0.0877385 - 0.270031i) q^{2} +(0.851349 - 2.62018i) q^{3} +(1.55282 - 1.12819i) q^{4} +0.880734 q^{5} -0.782228 q^{6} +(-3.90316 + 2.83581i) q^{7} +(-0.900292 - 0.654101i) q^{8} +(-3.71351 - 2.69802i) q^{9} +(-0.0772743 - 0.237826i) q^{10} +(4.27300 - 3.10452i) q^{11} +(-1.63407 - 5.02914i) q^{12} +(0.309017 - 0.951057i) q^{13} +(1.10822 + 0.805167i) q^{14} +(0.749812 - 2.30768i) q^{15} +(1.08861 - 3.35039i) q^{16} +(-1.13461 - 0.824339i) q^{17} +(-0.402733 + 1.23948i) q^{18} +(0.116784 + 0.359424i) q^{19} +(1.36762 - 0.993632i) q^{20} +(4.10740 + 12.6413i) q^{21} +(-1.21322 - 0.881459i) q^{22} +(-2.83527 - 2.05994i) q^{23} +(-2.48033 + 1.80206i) q^{24} -4.22431 q^{25} -0.283928 q^{26} +(-3.54422 + 2.57503i) q^{27} +(-2.86156 + 8.80699i) q^{28} +(3.05368 + 9.39825i) q^{29} -0.688935 q^{30} +(4.83693 + 2.75756i) q^{31} -3.22587 q^{32} +(-4.49658 - 13.8391i) q^{33} +(-0.123049 + 0.378706i) q^{34} +(-3.43765 + 2.49760i) q^{35} -8.81026 q^{36} +6.37648 q^{37} +(0.0868093 - 0.0630706i) q^{38} +(-2.22886 - 1.61936i) q^{39} +(-0.792919 - 0.576089i) q^{40} +(3.40418 + 10.4770i) q^{41} +(3.05316 - 2.21825i) q^{42} +(0.0680907 + 0.209562i) q^{43} +(3.13271 - 9.64148i) q^{44} +(-3.27061 - 2.37624i) q^{45} +(-0.307487 + 0.946349i) q^{46} +(0.138409 - 0.425979i) q^{47} +(-7.85185 - 5.70470i) q^{48} +(5.02972 - 15.4799i) q^{49} +(0.370635 + 1.14070i) q^{50} +(-3.12586 + 2.27107i) q^{51} +(-0.593123 - 1.82544i) q^{52} +(3.98033 + 2.89188i) q^{53} +(1.00630 + 0.731122i) q^{54} +(3.76338 - 2.73425i) q^{55} +5.36890 q^{56} +1.04118 q^{57} +(2.26990 - 1.64918i) q^{58} +(0.422494 - 1.30030i) q^{59} +(-1.43918 - 4.42933i) q^{60} -2.51912 q^{61} +(0.320244 - 1.54807i) q^{62} +22.1455 q^{63} +(-1.89418 - 5.82969i) q^{64} +(0.272162 - 0.837628i) q^{65} +(-3.34246 + 2.42844i) q^{66} -2.74637 q^{67} -2.69184 q^{68} +(-7.81124 + 5.67519i) q^{69} +(0.976045 + 0.709138i) q^{70} +(8.10646 + 5.88969i) q^{71} +(1.57847 + 4.85802i) q^{72} +(11.4349 - 8.30791i) q^{73} +(-0.559463 - 1.72185i) q^{74} +(-3.59636 + 11.0685i) q^{75} +(0.586840 + 0.426365i) q^{76} +(-7.87438 + 24.2349i) q^{77} +(-0.241722 + 0.743943i) q^{78} +(3.27074 + 2.37633i) q^{79} +(0.958774 - 2.95080i) q^{80} +(-0.525631 - 1.61773i) q^{81} +(2.53044 - 1.83847i) q^{82} +(-0.787331 - 2.42316i) q^{83} +(20.6397 + 14.9956i) q^{84} +(-0.999286 - 0.726024i) q^{85} +(0.0506141 - 0.0367733i) q^{86} +27.2249 q^{87} -5.87761 q^{88} +(-9.38656 + 6.81974i) q^{89} +(-0.354701 + 1.09166i) q^{90} +(1.49088 + 4.58844i) q^{91} -6.72665 q^{92} +(11.3432 - 10.3260i) q^{93} -0.127172 q^{94} +(0.102856 + 0.316557i) q^{95} +(-2.74634 + 8.45236i) q^{96} +(-6.83174 + 4.96355i) q^{97} -4.62136 q^{98} -24.2439 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} + O(q^{10}) \) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} - 13q^{10} - 5q^{11} - 28q^{12} - 17q^{13} - 3q^{14} - 14q^{15} + 9q^{16} + 12q^{17} - 19q^{18} - 4q^{19} - 53q^{20} - 13q^{21} - 14q^{22} - 9q^{23} + 2q^{24} + 96q^{25} + 12q^{26} + 25q^{27} - 25q^{28} - 78q^{30} - 2q^{31} + 76q^{32} + 29q^{33} - 15q^{34} - 36q^{35} + 52q^{36} + 24q^{37} - 19q^{38} + 3q^{39} - 12q^{40} - 40q^{41} + 11q^{42} - 22q^{43} + 4q^{44} + 63q^{45} - 24q^{46} + 3q^{47} + 68q^{48} + 33q^{49} - 76q^{50} - 59q^{51} - 13q^{52} - q^{53} + 18q^{54} - 22q^{55} + 78q^{56} - 16q^{57} + 5q^{58} - 18q^{59} + 43q^{60} - 32q^{61} - 39q^{62} + 20q^{63} + 23q^{64} + 2q^{65} + 11q^{66} + 114q^{67} + 98q^{68} - 46q^{69} + 32q^{70} - 2q^{71} + 28q^{72} + 10q^{73} - 43q^{74} - 12q^{75} - 35q^{76} - 3q^{77} - 6q^{78} - 10q^{79} + 68q^{80} - 54q^{81} - 80q^{82} - 22q^{83} - 14q^{84} - 50q^{85} - 66q^{86} + 76q^{87} - 34q^{88} - 10q^{89} - 63q^{90} - 8q^{91} - 64q^{92} - 16q^{93} + 30q^{94} + 15q^{95} + 34q^{96} - 7q^{97} + 138q^{98} - 48q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0877385 0.270031i −0.0620405 0.190941i 0.915232 0.402927i \(-0.132007\pi\)
−0.977273 + 0.211986i \(0.932007\pi\)
\(3\) 0.851349 2.62018i 0.491526 1.51276i −0.330774 0.943710i \(-0.607310\pi\)
0.822301 0.569053i \(-0.192690\pi\)
\(4\) 1.55282 1.12819i 0.776408 0.564093i
\(5\) 0.880734 0.393876 0.196938 0.980416i \(-0.436900\pi\)
0.196938 + 0.980416i \(0.436900\pi\)
\(6\) −0.782228 −0.319343
\(7\) −3.90316 + 2.83581i −1.47526 + 1.07184i −0.496210 + 0.868202i \(0.665275\pi\)
−0.979047 + 0.203635i \(0.934725\pi\)
\(8\) −0.900292 0.654101i −0.318301 0.231260i
\(9\) −3.71351 2.69802i −1.23784 0.899341i
\(10\) −0.0772743 0.237826i −0.0244363 0.0752072i
\(11\) 4.27300 3.10452i 1.28836 0.936047i 0.288587 0.957454i \(-0.406815\pi\)
0.999771 + 0.0214071i \(0.00681460\pi\)
\(12\) −1.63407 5.02914i −0.471714 1.45179i
\(13\) 0.309017 0.951057i 0.0857059 0.263776i
\(14\) 1.10822 + 0.805167i 0.296183 + 0.215190i
\(15\) 0.749812 2.30768i 0.193601 0.595842i
\(16\) 1.08861 3.35039i 0.272152 0.837598i
\(17\) −1.13461 0.824339i −0.275182 0.199932i 0.441631 0.897197i \(-0.354400\pi\)
−0.716813 + 0.697265i \(0.754400\pi\)
\(18\) −0.402733 + 1.23948i −0.0949251 + 0.292149i
\(19\) 0.116784 + 0.359424i 0.0267920 + 0.0824574i 0.963558 0.267498i \(-0.0861968\pi\)
−0.936766 + 0.349955i \(0.886197\pi\)
\(20\) 1.36762 0.993632i 0.305809 0.222183i
\(21\) 4.10740 + 12.6413i 0.896307 + 2.75855i
\(22\) −1.21322 0.881459i −0.258660 0.187928i
\(23\) −2.83527 2.05994i −0.591195 0.429528i 0.251548 0.967845i \(-0.419060\pi\)
−0.842743 + 0.538317i \(0.819060\pi\)
\(24\) −2.48033 + 1.80206i −0.506294 + 0.367844i
\(25\) −4.22431 −0.844861
\(26\) −0.283928 −0.0556828
\(27\) −3.54422 + 2.57503i −0.682085 + 0.495564i
\(28\) −2.86156 + 8.80699i −0.540785 + 1.66436i
\(29\) 3.05368 + 9.39825i 0.567053 + 1.74521i 0.661770 + 0.749707i \(0.269805\pi\)
−0.0947171 + 0.995504i \(0.530195\pi\)
\(30\) −0.688935 −0.125782
\(31\) 4.83693 + 2.75756i 0.868737 + 0.495273i
\(32\) −3.22587 −0.570258
\(33\) −4.49658 13.8391i −0.782755 2.40907i
\(34\) −0.123049 + 0.378706i −0.0211027 + 0.0649475i
\(35\) −3.43765 + 2.49760i −0.581069 + 0.422171i
\(36\) −8.81026 −1.46838
\(37\) 6.37648 1.04829 0.524144 0.851630i \(-0.324386\pi\)
0.524144 + 0.851630i \(0.324386\pi\)
\(38\) 0.0868093 0.0630706i 0.0140823 0.0102314i
\(39\) −2.22886 1.61936i −0.356903 0.259305i
\(40\) −0.792919 0.576089i −0.125371 0.0910877i
\(41\) 3.40418 + 10.4770i 0.531644 + 1.63623i 0.750791 + 0.660540i \(0.229673\pi\)
−0.219147 + 0.975692i \(0.570327\pi\)
\(42\) 3.05316 2.21825i 0.471113 0.342284i
\(43\) 0.0680907 + 0.209562i 0.0103837 + 0.0319579i 0.956114 0.292994i \(-0.0946517\pi\)
−0.945730 + 0.324952i \(0.894652\pi\)
\(44\) 3.13271 9.64148i 0.472273 1.45351i
\(45\) −3.27061 2.37624i −0.487554 0.354229i
\(46\) −0.307487 + 0.946349i −0.0453365 + 0.139532i
\(47\) 0.138409 0.425979i 0.0201890 0.0621355i −0.940454 0.339920i \(-0.889600\pi\)
0.960643 + 0.277784i \(0.0896001\pi\)
\(48\) −7.85185 5.70470i −1.13332 0.823403i
\(49\) 5.02972 15.4799i 0.718532 2.21141i
\(50\) 0.370635 + 1.14070i 0.0524156 + 0.161319i
\(51\) −3.12586 + 2.27107i −0.437709 + 0.318014i
\(52\) −0.593123 1.82544i −0.0822513 0.253143i
\(53\) 3.98033 + 2.89188i 0.546741 + 0.397230i 0.826582 0.562816i \(-0.190282\pi\)
−0.279842 + 0.960046i \(0.590282\pi\)
\(54\) 1.00630 + 0.731122i 0.136940 + 0.0994931i
\(55\) 3.76338 2.73425i 0.507454 0.368687i
\(56\) 5.36890 0.717449
\(57\) 1.04118 0.137908
\(58\) 2.26990 1.64918i 0.298052 0.216548i
\(59\) 0.422494 1.30030i 0.0550040 0.169285i −0.919780 0.392433i \(-0.871633\pi\)
0.974785 + 0.223148i \(0.0716334\pi\)
\(60\) −1.43918 4.42933i −0.185797 0.571825i
\(61\) −2.51912 −0.322540 −0.161270 0.986910i \(-0.551559\pi\)
−0.161270 + 0.986910i \(0.551559\pi\)
\(62\) 0.320244 1.54807i 0.0406710 0.196605i
\(63\) 22.1455 2.79007
\(64\) −1.89418 5.82969i −0.236773 0.728712i
\(65\) 0.272162 0.837628i 0.0337575 0.103895i
\(66\) −3.34246 + 2.42844i −0.411428 + 0.298920i
\(67\) −2.74637 −0.335522 −0.167761 0.985828i \(-0.553654\pi\)
−0.167761 + 0.985828i \(0.553654\pi\)
\(68\) −2.69184 −0.326434
\(69\) −7.81124 + 5.67519i −0.940362 + 0.683213i
\(70\) 0.976045 + 0.709138i 0.116660 + 0.0847582i
\(71\) 8.10646 + 5.88969i 0.962060 + 0.698977i 0.953628 0.300987i \(-0.0973162\pi\)
0.00843137 + 0.999964i \(0.497316\pi\)
\(72\) 1.57847 + 4.85802i 0.186024 + 0.572523i
\(73\) 11.4349 8.30791i 1.33835 0.972367i 0.338845 0.940842i \(-0.389964\pi\)
0.999503 0.0315248i \(-0.0100363\pi\)
\(74\) −0.559463 1.72185i −0.0650363 0.200161i
\(75\) −3.59636 + 11.0685i −0.415272 + 1.27807i
\(76\) 0.586840 + 0.426365i 0.0673152 + 0.0489074i
\(77\) −7.87438 + 24.2349i −0.897369 + 2.76182i
\(78\) −0.241722 + 0.743943i −0.0273696 + 0.0842349i
\(79\) 3.27074 + 2.37633i 0.367987 + 0.267358i 0.756376 0.654137i \(-0.226968\pi\)
−0.388389 + 0.921496i \(0.626968\pi\)
\(80\) 0.958774 2.95080i 0.107194 0.329910i
\(81\) −0.525631 1.61773i −0.0584034 0.179747i
\(82\) 2.53044 1.83847i 0.279440 0.203025i
\(83\) −0.787331 2.42316i −0.0864208 0.265976i 0.898502 0.438969i \(-0.144656\pi\)
−0.984923 + 0.172993i \(0.944656\pi\)
\(84\) 20.6397 + 14.9956i 2.25198 + 1.63616i
\(85\) −0.999286 0.726024i −0.108388 0.0787484i
\(86\) 0.0506141 0.0367733i 0.00545786 0.00396537i
\(87\) 27.2249 2.91881
\(88\) −5.87761 −0.626556
\(89\) −9.38656 + 6.81974i −0.994973 + 0.722891i −0.961005 0.276532i \(-0.910815\pi\)
−0.0339688 + 0.999423i \(0.510815\pi\)
\(90\) −0.354701 + 1.09166i −0.0373887 + 0.115071i
\(91\) 1.49088 + 4.58844i 0.156286 + 0.481000i
\(92\) −6.72665 −0.701302
\(93\) 11.3432 10.3260i 1.17624 1.07075i
\(94\) −0.127172 −0.0131168
\(95\) 0.102856 + 0.316557i 0.0105528 + 0.0324780i
\(96\) −2.74634 + 8.45236i −0.280297 + 0.862666i
\(97\) −6.83174 + 4.96355i −0.693658 + 0.503972i −0.877861 0.478916i \(-0.841030\pi\)
0.184202 + 0.982888i \(0.441030\pi\)
\(98\) −4.62136 −0.466828
\(99\) −24.2439 −2.43660
\(100\) −6.55957 + 4.76580i −0.655957 + 0.476580i
\(101\) −6.35259 4.61543i −0.632107 0.459252i 0.225023 0.974354i \(-0.427754\pi\)
−0.857129 + 0.515101i \(0.827754\pi\)
\(102\) 0.887520 + 0.644821i 0.0878776 + 0.0638468i
\(103\) −4.95673 15.2552i −0.488401 1.50314i −0.826994 0.562211i \(-0.809951\pi\)
0.338593 0.940933i \(-0.390049\pi\)
\(104\) −0.900292 + 0.654101i −0.0882809 + 0.0641399i
\(105\) 3.61753 + 11.1336i 0.353034 + 1.08653i
\(106\) 0.431670 1.32854i 0.0419275 0.129040i
\(107\) 0.0337098 + 0.0244916i 0.00325885 + 0.00236769i 0.589413 0.807832i \(-0.299359\pi\)
−0.586155 + 0.810199i \(0.699359\pi\)
\(108\) −2.59841 + 7.99708i −0.250032 + 0.769519i
\(109\) −0.336094 + 1.03439i −0.0321920 + 0.0990766i −0.965861 0.259059i \(-0.916588\pi\)
0.933669 + 0.358136i \(0.116588\pi\)
\(110\) −1.06853 0.776331i −0.101880 0.0740202i
\(111\) 5.42861 16.7075i 0.515261 1.58581i
\(112\) 5.25207 + 16.1642i 0.496274 + 1.52737i
\(113\) −1.82274 + 1.32430i −0.171469 + 0.124579i −0.670210 0.742172i \(-0.733796\pi\)
0.498741 + 0.866751i \(0.333796\pi\)
\(114\) −0.0913515 0.281151i −0.00855586 0.0263322i
\(115\) −2.49712 1.81426i −0.232858 0.169181i
\(116\) 15.3448 + 11.1486i 1.42473 + 1.03512i
\(117\) −3.71351 + 2.69802i −0.343314 + 0.249432i
\(118\) −0.388192 −0.0357359
\(119\) 6.76623 0.620259
\(120\) −2.18451 + 1.58714i −0.199417 + 0.144885i
\(121\) 5.22132 16.0696i 0.474665 1.46087i
\(122\) 0.221024 + 0.680242i 0.0200106 + 0.0615862i
\(123\) 30.3498 2.73655
\(124\) 10.6219 1.17497i 0.953874 0.105515i
\(125\) −8.12416 −0.726647
\(126\) −1.94302 5.97999i −0.173098 0.532740i
\(127\) 3.70052 11.3890i 0.328368 1.01061i −0.641529 0.767098i \(-0.721700\pi\)
0.969897 0.243514i \(-0.0783002\pi\)
\(128\) −6.62757 + 4.81521i −0.585800 + 0.425609i
\(129\) 0.607059 0.0534486
\(130\) −0.250065 −0.0219322
\(131\) −7.01246 + 5.09485i −0.612681 + 0.445139i −0.850358 0.526205i \(-0.823614\pi\)
0.237676 + 0.971344i \(0.423614\pi\)
\(132\) −22.5954 16.4165i −1.96668 1.42887i
\(133\) −1.47509 1.07171i −0.127906 0.0929292i
\(134\) 0.240962 + 0.741606i 0.0208160 + 0.0640650i
\(135\) −3.12152 + 2.26791i −0.268657 + 0.195191i
\(136\) 0.482276 + 1.48429i 0.0413548 + 0.127277i
\(137\) −6.22501 + 19.1586i −0.531839 + 1.63683i 0.218544 + 0.975827i \(0.429869\pi\)
−0.750383 + 0.661004i \(0.770131\pi\)
\(138\) 2.21783 + 1.61135i 0.188794 + 0.137167i
\(139\) 1.44339 4.44230i 0.122427 0.376791i −0.870997 0.491289i \(-0.836526\pi\)
0.993423 + 0.114498i \(0.0365260\pi\)
\(140\) −2.52028 + 7.75662i −0.213002 + 0.655554i
\(141\) −0.998309 0.725314i −0.0840728 0.0610825i
\(142\) 0.879152 2.70575i 0.0737768 0.227062i
\(143\) −1.63214 5.02321i −0.136486 0.420062i
\(144\) −13.0820 + 9.50462i −1.09017 + 0.792051i
\(145\) 2.68948 + 8.27736i 0.223349 + 0.687397i
\(146\) −3.24667 2.35885i −0.268697 0.195220i
\(147\) −36.2781 26.3576i −2.99217 2.17394i
\(148\) 9.90150 7.19386i 0.813898 0.591331i
\(149\) 3.97173 0.325376 0.162688 0.986678i \(-0.447984\pi\)
0.162688 + 0.986678i \(0.447984\pi\)
\(150\) 3.30437 0.269801
\(151\) −15.7997 + 11.4791i −1.28576 + 0.934159i −0.999711 0.0240559i \(-0.992342\pi\)
−0.286049 + 0.958215i \(0.592342\pi\)
\(152\) 0.129960 0.399975i 0.0105411 0.0324422i
\(153\) 1.98928 + 6.12238i 0.160824 + 0.494965i
\(154\) 7.23506 0.583018
\(155\) 4.26005 + 2.42868i 0.342175 + 0.195076i
\(156\) −5.28795 −0.423375
\(157\) 5.65510 + 17.4046i 0.451326 + 1.38904i 0.875395 + 0.483408i \(0.160601\pi\)
−0.424069 + 0.905630i \(0.639399\pi\)
\(158\) 0.354714 1.09170i 0.0282196 0.0868509i
\(159\) 10.9659 7.96720i 0.869653 0.631840i
\(160\) −2.84113 −0.224611
\(161\) 16.9081 1.33255
\(162\) −0.390719 + 0.283874i −0.0306978 + 0.0223032i
\(163\) −4.11896 2.99260i −0.322622 0.234399i 0.414671 0.909971i \(-0.363897\pi\)
−0.737294 + 0.675573i \(0.763897\pi\)
\(164\) 17.1061 + 12.4283i 1.33576 + 0.970486i
\(165\) −3.96030 12.1885i −0.308309 0.948876i
\(166\) −0.585249 + 0.425208i −0.0454241 + 0.0330026i
\(167\) −0.00737432 0.0226958i −0.000570642 0.00175625i 0.950771 0.309895i \(-0.100294\pi\)
−0.951341 + 0.308139i \(0.900294\pi\)
\(168\) 4.57080 14.0675i 0.352645 1.08533i
\(169\) −0.809017 0.587785i −0.0622321 0.0452143i
\(170\) −0.108373 + 0.333539i −0.00831186 + 0.0255813i
\(171\) 0.536055 1.64981i 0.0409932 0.126164i
\(172\) 0.342157 + 0.248592i 0.0260892 + 0.0189549i
\(173\) −3.28272 + 10.1032i −0.249581 + 0.768130i 0.745269 + 0.666764i \(0.232321\pi\)
−0.994849 + 0.101366i \(0.967679\pi\)
\(174\) −2.38867 7.35157i −0.181085 0.557321i
\(175\) 16.4882 11.9794i 1.24639 0.905554i
\(176\) −5.74972 17.6958i −0.433401 1.33387i
\(177\) −3.04734 2.21402i −0.229052 0.166416i
\(178\) 2.66511 + 1.93631i 0.199758 + 0.145133i
\(179\) 18.2617 13.2679i 1.36495 0.991691i 0.366832 0.930287i \(-0.380442\pi\)
0.998113 0.0614037i \(-0.0195577\pi\)
\(180\) −7.75950 −0.578359
\(181\) −16.9193 −1.25760 −0.628802 0.777566i \(-0.716454\pi\)
−0.628802 + 0.777566i \(0.716454\pi\)
\(182\) 1.10822 0.805167i 0.0821465 0.0596829i
\(183\) −2.14465 + 6.60056i −0.158537 + 0.487927i
\(184\) 1.20516 + 3.70911i 0.0888457 + 0.273439i
\(185\) 5.61599 0.412896
\(186\) −3.78358 2.15704i −0.277425 0.158162i
\(187\) −7.40734 −0.541679
\(188\) −0.265660 0.817618i −0.0193753 0.0596309i
\(189\) 6.53137 20.1015i 0.475088 1.46217i
\(190\) 0.0764559 0.0555485i 0.00554669 0.00402991i
\(191\) 17.4818 1.26494 0.632470 0.774585i \(-0.282041\pi\)
0.632470 + 0.774585i \(0.282041\pi\)
\(192\) −16.8875 −1.21875
\(193\) −17.8388 + 12.9607i −1.28407 + 0.932929i −0.999668 0.0257770i \(-0.991794\pi\)
−0.284399 + 0.958706i \(0.591794\pi\)
\(194\) 1.93972 + 1.40929i 0.139264 + 0.101181i
\(195\) −1.96303 1.42623i −0.140576 0.102134i
\(196\) −9.65398 29.7119i −0.689570 2.12228i
\(197\) −5.47491 + 3.97775i −0.390071 + 0.283403i −0.765485 0.643454i \(-0.777501\pi\)
0.375414 + 0.926857i \(0.377501\pi\)
\(198\) 2.12712 + 6.54661i 0.151168 + 0.465247i
\(199\) −0.0636494 + 0.195893i −0.00451199 + 0.0138865i −0.953287 0.302066i \(-0.902324\pi\)
0.948775 + 0.315952i \(0.102324\pi\)
\(200\) 3.80311 + 2.76312i 0.268921 + 0.195382i
\(201\) −2.33812 + 7.19598i −0.164918 + 0.507566i
\(202\) −0.688944 + 2.12035i −0.0484739 + 0.149187i
\(203\) −38.5707 28.0232i −2.70713 1.96685i
\(204\) −2.29170 + 7.05312i −0.160451 + 0.493817i
\(205\) 2.99818 + 9.22745i 0.209402 + 0.644473i
\(206\) −3.68450 + 2.67694i −0.256711 + 0.186512i
\(207\) 4.97103 + 15.2992i 0.345510 + 1.06337i
\(208\) −2.85001 2.07065i −0.197613 0.143574i
\(209\) 1.61485 + 1.17326i 0.111702 + 0.0811561i
\(210\) 2.68903 1.95369i 0.185560 0.134818i
\(211\) 18.8226 1.29580 0.647899 0.761726i \(-0.275648\pi\)
0.647899 + 0.761726i \(0.275648\pi\)
\(212\) 9.44330 0.648569
\(213\) 22.3335 16.2262i 1.53026 1.11180i
\(214\) 0.00365586 0.0112516i 0.000249909 0.000769142i
\(215\) 0.0599699 + 0.184568i 0.00408991 + 0.0125875i
\(216\) 4.87516 0.331713
\(217\) −26.6992 + 2.95341i −1.81246 + 0.200490i
\(218\) 0.308806 0.0209150
\(219\) −12.0332 37.0343i −0.813127 2.50255i
\(220\) 2.75908 8.49158i 0.186017 0.572502i
\(221\) −1.13461 + 0.824339i −0.0763219 + 0.0554511i
\(222\) −4.98786 −0.334763
\(223\) −3.10347 −0.207824 −0.103912 0.994586i \(-0.533136\pi\)
−0.103912 + 0.994586i \(0.533136\pi\)
\(224\) 12.5911 9.14797i 0.841278 0.611224i
\(225\) 15.6870 + 11.3973i 1.04580 + 0.759818i
\(226\) 0.517526 + 0.376005i 0.0344253 + 0.0250115i
\(227\) −0.602654 1.85478i −0.0399996 0.123106i 0.929063 0.369922i \(-0.120616\pi\)
−0.969062 + 0.246816i \(0.920616\pi\)
\(228\) 1.61676 1.17464i 0.107072 0.0777927i
\(229\) 1.73387 + 5.33632i 0.114578 + 0.352634i 0.991859 0.127343i \(-0.0406450\pi\)
−0.877281 + 0.479977i \(0.840645\pi\)
\(230\) −0.270815 + 0.833482i −0.0178570 + 0.0549582i
\(231\) 56.7959 + 41.2646i 3.73690 + 2.71501i
\(232\) 3.39820 10.4586i 0.223103 0.686640i
\(233\) −0.579189 + 1.78256i −0.0379439 + 0.116779i −0.968234 0.250044i \(-0.919555\pi\)
0.930290 + 0.366824i \(0.119555\pi\)
\(234\) 1.05437 + 0.766044i 0.0689262 + 0.0500778i
\(235\) 0.121902 0.375175i 0.00795199 0.0244737i
\(236\) −0.810929 2.49578i −0.0527870 0.162462i
\(237\) 9.01096 6.54685i 0.585325 0.425263i
\(238\) −0.593659 1.82709i −0.0384812 0.118433i
\(239\) −12.7891 9.29183i −0.827258 0.601038i 0.0915240 0.995803i \(-0.470826\pi\)
−0.918782 + 0.394764i \(0.870826\pi\)
\(240\) −6.91539 5.02433i −0.446387 0.324319i
\(241\) −19.0564 + 13.8453i −1.22753 + 0.891852i −0.996703 0.0811423i \(-0.974143\pi\)
−0.230827 + 0.972995i \(0.574143\pi\)
\(242\) −4.79740 −0.308388
\(243\) −17.8289 −1.14373
\(244\) −3.91173 + 2.84204i −0.250423 + 0.181943i
\(245\) 4.42985 13.6337i 0.283013 0.871024i
\(246\) −2.66285 8.19540i −0.169777 0.522519i
\(247\) 0.377920 0.0240465
\(248\) −2.55092 5.64645i −0.161984 0.358550i
\(249\) −7.01940 −0.444837
\(250\) 0.712802 + 2.19378i 0.0450816 + 0.138747i
\(251\) −7.45650 + 22.9487i −0.470650 + 1.44851i 0.381086 + 0.924540i \(0.375550\pi\)
−0.851736 + 0.523972i \(0.824450\pi\)
\(252\) 34.3879 24.9843i 2.16623 1.57386i
\(253\) −18.5102 −1.16373
\(254\) −3.40007 −0.213340
\(255\) −2.75306 + 2.00021i −0.172403 + 0.125258i
\(256\) −8.03631 5.83872i −0.502270 0.364920i
\(257\) 4.05491 + 2.94607i 0.252939 + 0.183771i 0.707028 0.707185i \(-0.250035\pi\)
−0.454090 + 0.890956i \(0.650035\pi\)
\(258\) −0.0532625 0.163925i −0.00331598 0.0102055i
\(259\) −24.8884 + 18.0825i −1.54649 + 1.12359i
\(260\) −0.522383 1.60773i −0.0323968 0.0997072i
\(261\) 14.0168 43.1394i 0.867620 2.67026i
\(262\) 1.99103 + 1.44657i 0.123006 + 0.0893694i
\(263\) 1.10675 3.40621i 0.0682449 0.210036i −0.911118 0.412145i \(-0.864780\pi\)
0.979363 + 0.202109i \(0.0647796\pi\)
\(264\) −5.00390 + 15.4004i −0.307969 + 0.947830i
\(265\) 3.50562 + 2.54698i 0.215348 + 0.156460i
\(266\) −0.159974 + 0.492350i −0.00980865 + 0.0301879i
\(267\) 9.87771 + 30.4005i 0.604506 + 1.86048i
\(268\) −4.26460 + 3.09841i −0.260502 + 0.189266i
\(269\) 4.40068 + 13.5439i 0.268314 + 0.825786i 0.990911 + 0.134516i \(0.0429481\pi\)
−0.722597 + 0.691269i \(0.757052\pi\)
\(270\) 0.886286 + 0.643924i 0.0539376 + 0.0391880i
\(271\) −8.93912 6.49465i −0.543013 0.394522i 0.282190 0.959359i \(-0.408939\pi\)
−0.825203 + 0.564837i \(0.808939\pi\)
\(272\) −3.99700 + 2.90399i −0.242354 + 0.176080i
\(273\) 13.2918 0.804457
\(274\) 5.71960 0.345534
\(275\) −18.0505 + 13.1144i −1.08848 + 0.790830i
\(276\) −5.72673 + 17.6251i −0.344709 + 1.06090i
\(277\) −6.09474 18.7577i −0.366197 1.12704i −0.949228 0.314589i \(-0.898133\pi\)
0.583030 0.812450i \(-0.301867\pi\)
\(278\) −1.32620 −0.0795402
\(279\) −10.5220 23.2904i −0.629936 1.39436i
\(280\) 4.72857 0.282586
\(281\) −5.01500 15.4346i −0.299170 0.920750i −0.981789 0.189976i \(-0.939159\pi\)
0.682619 0.730775i \(-0.260841\pi\)
\(282\) −0.108267 + 0.333213i −0.00644723 + 0.0198425i
\(283\) −11.5704 + 8.40636i −0.687786 + 0.499706i −0.875932 0.482435i \(-0.839752\pi\)
0.188145 + 0.982141i \(0.439752\pi\)
\(284\) 19.2325 1.14124
\(285\) 0.917002 0.0543185
\(286\) −1.21322 + 0.881459i −0.0717394 + 0.0521217i
\(287\) −42.9979 31.2398i −2.53809 1.84403i
\(288\) 11.9793 + 8.70347i 0.705887 + 0.512857i
\(289\) −4.64549 14.2974i −0.273264 0.841021i
\(290\) 1.99918 1.45249i 0.117396 0.0852930i
\(291\) 7.18921 + 22.1261i 0.421439 + 1.29706i
\(292\) 8.38335 25.8013i 0.490598 1.50991i
\(293\) 10.0212 + 7.28081i 0.585443 + 0.425350i 0.840682 0.541528i \(-0.182154\pi\)
−0.255239 + 0.966878i \(0.582154\pi\)
\(294\) −3.93439 + 12.1088i −0.229458 + 0.706200i
\(295\) 0.372105 1.14522i 0.0216648 0.0666774i
\(296\) −5.74070 4.17086i −0.333671 0.242426i
\(297\) −7.15024 + 22.0062i −0.414899 + 1.27693i
\(298\) −0.348473 1.07249i −0.0201865 0.0621277i
\(299\) −2.83527 + 2.05994i −0.163968 + 0.119130i
\(300\) 6.90280 + 21.2446i 0.398533 + 1.22656i
\(301\) −0.860048 0.624861i −0.0495723 0.0360164i
\(302\) 4.48597 + 3.25925i 0.258139 + 0.187549i
\(303\) −17.5015 + 12.7156i −1.00544 + 0.730493i
\(304\) 1.33134 0.0763577
\(305\) −2.21868 −0.127041
\(306\) 1.47870 1.07434i 0.0845316 0.0614158i
\(307\) 0.563345 1.73380i 0.0321518 0.0989530i −0.933693 0.358075i \(-0.883433\pi\)
0.965845 + 0.259122i \(0.0834332\pi\)
\(308\) 15.1140 + 46.5160i 0.861199 + 2.65050i
\(309\) −44.1914 −2.51396
\(310\) 0.282050 1.36344i 0.0160193 0.0774379i
\(311\) 24.5521 1.39222 0.696110 0.717936i \(-0.254913\pi\)
0.696110 + 0.717936i \(0.254913\pi\)
\(312\) 0.947400 + 2.91580i 0.0536360 + 0.165075i
\(313\) −6.25508 + 19.2512i −0.353558 + 1.08814i 0.603283 + 0.797527i \(0.293859\pi\)
−0.956841 + 0.290612i \(0.906141\pi\)
\(314\) 4.20362 3.05411i 0.237224 0.172353i
\(315\) 19.5043 1.09894
\(316\) 7.75980 0.436523
\(317\) −26.2737 + 19.0890i −1.47568 + 1.07214i −0.496763 + 0.867886i \(0.665478\pi\)
−0.978917 + 0.204258i \(0.934522\pi\)
\(318\) −3.11353 2.26211i −0.174598 0.126853i
\(319\) 42.2254 + 30.6785i 2.36417 + 1.71767i
\(320\) −1.66827 5.13441i −0.0932592 0.287022i
\(321\) 0.0928713 0.0674750i 0.00518357 0.00376609i
\(322\) −1.48350 4.56573i −0.0826720 0.254438i
\(323\) 0.163783 0.504074i 0.00911316 0.0280474i
\(324\) −2.64130 1.91902i −0.146739 0.106612i
\(325\) −1.30538 + 4.01755i −0.0724096 + 0.222854i
\(326\) −0.446705 + 1.37482i −0.0247407 + 0.0761440i
\(327\) 2.42416 + 1.76125i 0.134056 + 0.0973976i
\(328\) 3.78825 11.6590i 0.209171 0.643763i
\(329\) 0.667765 + 2.05517i 0.0368151 + 0.113305i
\(330\) −2.94382 + 2.13881i −0.162052 + 0.117738i
\(331\) −6.39479 19.6812i −0.351490 1.08177i −0.958017 0.286711i \(-0.907438\pi\)
0.606527 0.795063i \(-0.292562\pi\)
\(332\) −3.95635 2.87446i −0.217133 0.157756i
\(333\) −23.6791 17.2039i −1.29761 0.942767i
\(334\) −0.00548157 + 0.00398259i −0.000299938 + 0.000217918i
\(335\) −2.41882 −0.132154
\(336\) 46.8245 2.55449
\(337\) 24.4887 17.7921i 1.33398 0.969195i 0.334340 0.942452i \(-0.391487\pi\)
0.999642 0.0267425i \(-0.00851343\pi\)
\(338\) −0.0877385 + 0.270031i −0.00477235 + 0.0146878i
\(339\) 1.91811 + 5.90334i 0.104178 + 0.320626i
\(340\) −2.37080 −0.128575
\(341\) 29.2291 3.23325i 1.58284 0.175090i
\(342\) −0.492533 −0.0266331
\(343\) 13.8302 + 42.5648i 0.746758 + 2.29829i
\(344\) 0.0757729 0.233205i 0.00408540 0.0125736i
\(345\) −6.87962 + 4.99834i −0.370386 + 0.269102i
\(346\) 3.01620 0.162152
\(347\) −4.77233 −0.256192 −0.128096 0.991762i \(-0.540887\pi\)
−0.128096 + 0.991762i \(0.540887\pi\)
\(348\) 42.2752 30.7147i 2.26619 1.64648i
\(349\) −7.26487 5.27824i −0.388880 0.282538i 0.376117 0.926572i \(-0.377259\pi\)
−0.764996 + 0.644035i \(0.777259\pi\)
\(350\) −4.68145 3.40127i −0.250234 0.181806i
\(351\) 1.35377 + 4.16648i 0.0722590 + 0.222390i
\(352\) −13.7841 + 10.0148i −0.734697 + 0.533789i
\(353\) 1.95008 + 6.00174i 0.103792 + 0.319440i 0.989445 0.144908i \(-0.0462886\pi\)
−0.885653 + 0.464348i \(0.846289\pi\)
\(354\) −0.330487 + 1.01713i −0.0175652 + 0.0540600i
\(355\) 7.13964 + 5.18725i 0.378933 + 0.275311i
\(356\) −6.88166 + 21.1796i −0.364727 + 1.12252i
\(357\) 5.76042 17.7287i 0.304874 0.938305i
\(358\) −5.18501 3.76713i −0.274036 0.199099i
\(359\) −1.64168 + 5.05257i −0.0866445 + 0.266664i −0.984986 0.172633i \(-0.944773\pi\)
0.898342 + 0.439297i \(0.144773\pi\)
\(360\) 1.39021 + 4.27862i 0.0732704 + 0.225503i
\(361\) 15.2558 11.0840i 0.802936 0.583367i
\(362\) 1.48448 + 4.56875i 0.0780224 + 0.240128i
\(363\) −37.6600 27.3616i −1.97664 1.43611i
\(364\) 7.49167 + 5.44302i 0.392670 + 0.285292i
\(365\) 10.0711 7.31706i 0.527144 0.382992i
\(366\) 1.97053 0.103001
\(367\) 18.2978 0.955137 0.477568 0.878595i \(-0.341518\pi\)
0.477568 + 0.878595i \(0.341518\pi\)
\(368\) −9.98812 + 7.25679i −0.520667 + 0.378286i
\(369\) 15.6257 48.0910i 0.813442 2.50352i
\(370\) −0.492738 1.51649i −0.0256163 0.0788387i
\(371\) −23.7367 −1.23235
\(372\) 5.96431 28.8316i 0.309235 1.49485i
\(373\) 15.7459 0.815290 0.407645 0.913140i \(-0.366350\pi\)
0.407645 + 0.913140i \(0.366350\pi\)
\(374\) 0.649910 + 2.00022i 0.0336060 + 0.103429i
\(375\) −6.91650 + 21.2868i −0.357166 + 1.09925i
\(376\) −0.403242 + 0.292973i −0.0207956 + 0.0151089i
\(377\) 9.88190 0.508944
\(378\) −6.00109 −0.308663
\(379\) 29.0725 21.1224i 1.49335 1.08498i 0.520415 0.853913i \(-0.325777\pi\)
0.972937 0.231071i \(-0.0742229\pi\)
\(380\) 0.516851 + 0.375514i 0.0265139 + 0.0192635i
\(381\) −26.6909 19.3921i −1.36742 0.993486i
\(382\) −1.53383 4.72064i −0.0784775 0.241529i
\(383\) 4.62362 3.35926i 0.236256 0.171650i −0.463358 0.886171i \(-0.653355\pi\)
0.699614 + 0.714521i \(0.253355\pi\)
\(384\) 6.97436 + 21.4649i 0.355909 + 1.09537i
\(385\) −6.93524 + 21.3445i −0.353453 + 1.08782i
\(386\) 5.06494 + 3.67989i 0.257799 + 0.187302i
\(387\) 0.312547 0.961920i 0.0158876 0.0488971i
\(388\) −5.00862 + 15.4150i −0.254274 + 0.782576i
\(389\) 1.32555 + 0.963065i 0.0672078 + 0.0488294i 0.620882 0.783904i \(-0.286775\pi\)
−0.553674 + 0.832733i \(0.686775\pi\)
\(390\) −0.212893 + 0.655216i −0.0107802 + 0.0331782i
\(391\) 1.51882 + 4.67445i 0.0768101 + 0.236397i
\(392\) −14.6536 + 10.6465i −0.740120 + 0.537729i
\(393\) 7.37939 + 22.7114i 0.372241 + 1.14564i
\(394\) 1.55448 + 1.12940i 0.0783135 + 0.0568981i
\(395\) 2.88065 + 2.09292i 0.144941 + 0.105306i
\(396\) −37.6462 + 27.3516i −1.89180 + 1.37447i
\(397\) 14.5488 0.730185 0.365092 0.930971i \(-0.381037\pi\)
0.365092 + 0.930971i \(0.381037\pi\)
\(398\) 0.0584817 0.00293142
\(399\) −4.06389 + 2.95259i −0.203449 + 0.147814i
\(400\) −4.59861 + 14.1531i −0.229931 + 0.707654i
\(401\) −10.1282 31.1715i −0.505781 1.55663i −0.799454 0.600727i \(-0.794878\pi\)
0.293674 0.955906i \(-0.405122\pi\)
\(402\) 2.14829 0.107147
\(403\) 4.11729 3.74806i 0.205097 0.186704i
\(404\) −15.0715 −0.749834
\(405\) −0.462941 1.42479i −0.0230037 0.0707982i
\(406\) −4.18302 + 12.8740i −0.207600 + 0.638927i
\(407\) 27.2467 19.7959i 1.35057 0.981246i
\(408\) 4.29970 0.212867
\(409\) −11.6423 −0.575676 −0.287838 0.957679i \(-0.592936\pi\)
−0.287838 + 0.957679i \(0.592936\pi\)
\(410\) 2.22865 1.61921i 0.110065 0.0799669i
\(411\) 44.8994 + 32.6213i 2.21472 + 1.60909i
\(412\) −24.9076 18.0965i −1.22711 0.891548i
\(413\) 2.03835 + 6.27341i 0.100301 + 0.308694i
\(414\) 3.69513 2.68467i 0.181606 0.131944i
\(415\) −0.693429 2.13416i −0.0340391 0.104762i
\(416\) −0.996848 + 3.06798i −0.0488745 + 0.150420i
\(417\) −10.4108 7.56389i −0.509819 0.370405i
\(418\) 0.175132 0.539001i 0.00856599 0.0263634i
\(419\) 4.51066 13.8824i 0.220360 0.678198i −0.778369 0.627806i \(-0.783953\pi\)
0.998730 0.0503920i \(-0.0160471\pi\)
\(420\) 18.1781 + 13.2072i 0.887001 + 0.644444i
\(421\) −5.10771 + 15.7199i −0.248934 + 0.766141i 0.746030 + 0.665912i \(0.231958\pi\)
−0.994964 + 0.100229i \(0.968042\pi\)
\(422\) −1.65146 5.08268i −0.0803920 0.247421i
\(423\) −1.66329 + 1.20845i −0.0808717 + 0.0587567i
\(424\) −1.69188 5.20708i −0.0821651 0.252878i
\(425\) 4.79292 + 3.48226i 0.232491 + 0.168915i
\(426\) −6.34110 4.60708i −0.307227 0.223214i
\(427\) 9.83254 7.14376i 0.475830 0.345711i
\(428\) 0.0799762 0.00386580
\(429\) −14.5513 −0.702541
\(430\) 0.0445776 0.0323875i 0.00214972 0.00156186i
\(431\) 1.09593 3.37294i 0.0527892 0.162469i −0.921186 0.389122i \(-0.872778\pi\)
0.973975 + 0.226653i \(0.0727785\pi\)
\(432\) 4.76908 + 14.6777i 0.229452 + 0.706182i
\(433\) −27.8772 −1.33969 −0.669846 0.742500i \(-0.733640\pi\)
−0.669846 + 0.742500i \(0.733640\pi\)
\(434\) 3.14007 + 6.95051i 0.150728 + 0.333635i
\(435\) 23.9779 1.14965
\(436\) 0.645094 + 1.98539i 0.0308944 + 0.0950831i
\(437\) 0.409279 1.25963i 0.0195785 0.0602564i
\(438\) −8.94466 + 6.49867i −0.427392 + 0.310519i
\(439\) −14.9430 −0.713192 −0.356596 0.934259i \(-0.616063\pi\)
−0.356596 + 0.934259i \(0.616063\pi\)
\(440\) −5.17662 −0.246786
\(441\) −60.4430 + 43.9144i −2.87824 + 2.09116i
\(442\) 0.322146 + 0.234053i 0.0153229 + 0.0111328i
\(443\) −11.5440 8.38720i −0.548472 0.398488i 0.278750 0.960364i \(-0.410080\pi\)
−0.827222 + 0.561876i \(0.810080\pi\)
\(444\) −10.4196 32.0682i −0.494492 1.52189i
\(445\) −8.26707 + 6.00638i −0.391897 + 0.284730i
\(446\) 0.272294 + 0.838036i 0.0128935 + 0.0396821i
\(447\) 3.38132 10.4066i 0.159931 0.492217i
\(448\) 23.9252 + 17.3827i 1.13036 + 0.821255i
\(449\) 7.35193 22.6269i 0.346959 1.06783i −0.613567 0.789642i \(-0.710266\pi\)
0.960527 0.278188i \(-0.0897339\pi\)
\(450\) 1.70127 5.23596i 0.0801985 0.246826i
\(451\) 47.0721 + 34.1999i 2.21654 + 1.61041i
\(452\) −1.33632 + 4.11277i −0.0628553 + 0.193449i
\(453\) 16.6264 + 51.1708i 0.781176 + 2.40421i
\(454\) −0.447973 + 0.325471i −0.0210244 + 0.0152751i
\(455\) 1.31307 + 4.04120i 0.0615575 + 0.189454i
\(456\) −0.937366 0.681036i −0.0438962 0.0318924i
\(457\) 8.71901 + 6.33473i 0.407858 + 0.296326i 0.772734 0.634730i \(-0.218889\pi\)
−0.364876 + 0.931056i \(0.618889\pi\)
\(458\) 1.28885 0.936401i 0.0602238 0.0437552i
\(459\) 6.14399 0.286777
\(460\) −5.92439 −0.276226
\(461\) −10.8424 + 7.87749i −0.504982 + 0.366891i −0.810917 0.585161i \(-0.801031\pi\)
0.305935 + 0.952053i \(0.401031\pi\)
\(462\) 6.15956 18.9572i 0.286569 0.881968i
\(463\) −6.90507 21.2516i −0.320906 0.987647i −0.973255 0.229728i \(-0.926216\pi\)
0.652349 0.757919i \(-0.273784\pi\)
\(464\) 34.8120 1.61611
\(465\) 9.99037 9.09444i 0.463292 0.421745i
\(466\) 0.532165 0.0246521
\(467\) 10.6396 + 32.7453i 0.492341 + 1.51527i 0.821060 + 0.570842i \(0.193383\pi\)
−0.328719 + 0.944428i \(0.606617\pi\)
\(468\) −2.72252 + 8.37906i −0.125849 + 0.387322i
\(469\) 10.7195 7.78819i 0.494982 0.359625i
\(470\) −0.112004 −0.00516638
\(471\) 50.4177 2.32312
\(472\) −1.23090 + 0.894299i −0.0566566 + 0.0411635i
\(473\) 0.941539 + 0.684068i 0.0432920 + 0.0314535i
\(474\) −2.55846 1.85883i −0.117514 0.0853790i
\(475\) −0.493331 1.51832i −0.0226356 0.0696651i
\(476\) 10.5067 7.63356i 0.481574 0.349884i
\(477\) −6.97864 21.4781i −0.319530 0.983412i
\(478\) −1.38699 + 4.26871i −0.0634394 + 0.195246i
\(479\) −24.2871 17.6456i −1.10971 0.806248i −0.127088 0.991891i \(-0.540563\pi\)
−0.982617 + 0.185643i \(0.940563\pi\)
\(480\) −2.41880 + 7.44429i −0.110402 + 0.339784i
\(481\) 1.97044 6.06439i 0.0898444 0.276513i
\(482\) 5.41064 + 3.93106i 0.246448 + 0.179055i
\(483\) 14.3947 44.3024i 0.654983 2.01583i
\(484\) −10.0217 30.8437i −0.455533 1.40199i
\(485\) −6.01695 + 4.37157i −0.273216 + 0.198503i
\(486\) 1.56428 + 4.81437i 0.0709573 + 0.218384i
\(487\) 11.5972 + 8.42587i 0.525520 + 0.381813i 0.818679 0.574251i \(-0.194707\pi\)
−0.293159 + 0.956064i \(0.594707\pi\)
\(488\) 2.26795 + 1.64776i 0.102665 + 0.0745906i
\(489\) −11.3478 + 8.24469i −0.513167 + 0.372838i
\(490\) −4.07019 −0.183872
\(491\) −10.1078 −0.456158 −0.228079 0.973643i \(-0.573244\pi\)
−0.228079 + 0.973643i \(0.573244\pi\)
\(492\) 47.1276 34.2402i 2.12468 1.54367i
\(493\) 4.28263 13.1806i 0.192880 0.593623i
\(494\) −0.0331582 0.102050i −0.00149186 0.00459146i
\(495\) −21.3524 −0.959719
\(496\) 14.5044 13.2037i 0.651268 0.592863i
\(497\) −48.3429 −2.16847
\(498\) 0.615872 + 1.89546i 0.0275979 + 0.0849376i
\(499\) 5.37026 16.5280i 0.240406 0.739893i −0.755952 0.654627i \(-0.772826\pi\)
0.996358 0.0852664i \(-0.0271741\pi\)
\(500\) −12.6153 + 9.16557i −0.564174 + 0.409897i
\(501\) −0.0657453 −0.00293728
\(502\) 6.85110 0.305780
\(503\) −14.5858 + 10.5972i −0.650349 + 0.472506i −0.863390 0.504537i \(-0.831663\pi\)
0.213041 + 0.977043i \(0.431663\pi\)
\(504\) −19.9374 14.4854i −0.888084 0.645231i
\(505\) −5.59495 4.06497i −0.248972 0.180889i
\(506\) 1.62406 + 4.99835i 0.0721983 + 0.222204i
\(507\) −2.22886 + 1.61936i −0.0989872 + 0.0719184i
\(508\) −7.10272 21.8599i −0.315132 0.969877i
\(509\) −5.68544 + 17.4980i −0.252003 + 0.775585i 0.742403 + 0.669954i \(0.233686\pi\)
−0.994405 + 0.105631i \(0.966314\pi\)
\(510\) 0.781670 + 0.567916i 0.0346129 + 0.0251478i
\(511\) −21.0724 + 64.8542i −0.932189 + 2.86898i
\(512\) −5.93456 + 18.2647i −0.262273 + 0.807193i
\(513\) −1.33943 0.973155i −0.0591374 0.0429658i
\(514\) 0.439759 1.35344i 0.0193969 0.0596976i
\(515\) −4.36556 13.4358i −0.192370 0.592053i
\(516\) 0.942650 0.684876i 0.0414979 0.0301500i
\(517\) −0.731038 2.24990i −0.0321510 0.0989506i
\(518\) 7.06652 + 5.13413i 0.310485 + 0.225581i
\(519\) 23.6774 + 17.2026i 1.03932 + 0.755112i
\(520\) −0.792919 + 0.576089i −0.0347718 + 0.0252632i
\(521\) −25.7080 −1.12629 −0.563143 0.826359i \(-0.690408\pi\)
−0.563143 + 0.826359i \(0.690408\pi\)
\(522\) −12.8788 −0.563690
\(523\) −30.8957 + 22.4470i −1.35097 + 0.981539i −0.352010 + 0.935996i \(0.614502\pi\)
−0.998962 + 0.0455431i \(0.985498\pi\)
\(524\) −5.14111 + 15.8227i −0.224591 + 0.691219i
\(525\) −17.3509 53.4006i −0.757256 2.33059i
\(526\) −1.01689 −0.0443385
\(527\) −3.21484 7.11602i −0.140040 0.309979i
\(528\) −51.2613 −2.23086
\(529\) −3.31200 10.1933i −0.144000 0.443187i
\(530\) 0.380187 1.17009i 0.0165143 0.0508257i
\(531\) −5.07718 + 3.68879i −0.220331 + 0.160080i
\(532\) −3.49963 −0.151728
\(533\) 11.0162 0.477163
\(534\) 7.34243 5.33459i 0.317738 0.230850i
\(535\) 0.0296894 + 0.0215706i 0.00128358 + 0.000932579i
\(536\) 2.47253 + 1.79640i 0.106797 + 0.0775927i
\(537\) −19.2173 59.1447i −0.829286 2.55228i
\(538\) 3.27117 2.37664i 0.141030 0.102464i
\(539\) −26.5656 81.7605i −1.14426 3.52167i
\(540\) −2.28851 + 7.04330i −0.0984817 + 0.303096i
\(541\) 1.41034 + 1.02467i 0.0606354 + 0.0440542i 0.617690 0.786422i \(-0.288069\pi\)
−0.557055 + 0.830476i \(0.688069\pi\)
\(542\) −0.969455 + 2.98367i −0.0416416 + 0.128160i
\(543\) −14.4042 + 44.3317i −0.618145 + 1.90246i
\(544\) 3.66009 + 2.65921i 0.156925 + 0.114013i
\(545\) −0.296009 + 0.911023i −0.0126797 + 0.0390240i
\(546\) −1.16620 3.58921i −0.0499089 0.153604i
\(547\) 10.3415 7.51354i 0.442170 0.321256i −0.344326 0.938850i \(-0.611893\pi\)
0.786497 + 0.617594i \(0.211893\pi\)
\(548\) 11.9482 + 36.7728i 0.510402 + 1.57085i
\(549\) 9.35478 + 6.79665i 0.399252 + 0.290074i
\(550\) 5.12503 + 3.72355i 0.218532 + 0.158773i
\(551\) −3.02133 + 2.19513i −0.128713 + 0.0935155i
\(552\) 10.7445 0.457318
\(553\) −19.5051 −0.829440
\(554\) −4.53042 + 3.29154i −0.192479 + 0.139844i
\(555\) 4.78116 14.7149i 0.202949 0.624613i
\(556\) −2.77042 8.52648i −0.117492 0.361603i
\(557\) 27.3232 1.15772 0.578861 0.815426i \(-0.303497\pi\)
0.578861 + 0.815426i \(0.303497\pi\)
\(558\) −5.36595 + 4.88473i −0.227159 + 0.206787i
\(559\) 0.220346 0.00931965
\(560\) 4.62568 + 14.2364i 0.195471 + 0.601597i
\(561\) −6.30623 + 19.4086i −0.266249 + 0.819431i
\(562\) −3.72782 + 2.70842i −0.157248 + 0.114248i
\(563\) 28.9348 1.21946 0.609728 0.792611i \(-0.291279\pi\)
0.609728 + 0.792611i \(0.291279\pi\)
\(564\) −2.36848 −0.0997309
\(565\) −1.60535 + 1.16635i −0.0675375 + 0.0490688i
\(566\) 3.28515 + 2.38680i 0.138085 + 0.100325i
\(567\) 6.63919 + 4.82366i 0.278820 + 0.202575i
\(568\) −3.44573 10.6049i −0.144580 0.444971i
\(569\) 6.32797 4.59754i 0.265282 0.192739i −0.447190 0.894439i \(-0.647575\pi\)
0.712472 + 0.701700i \(0.247575\pi\)
\(570\) −0.0804564 0.247619i −0.00336995 0.0103716i
\(571\) 5.43373 16.7233i 0.227395 0.699849i −0.770645 0.637265i \(-0.780066\pi\)
0.998040 0.0625841i \(-0.0199342\pi\)
\(572\) −8.20153 5.95876i −0.342923 0.249148i
\(573\) 14.8831 45.8055i 0.621751 1.91355i
\(574\) −4.66316 + 14.3517i −0.194636 + 0.599029i
\(575\) 11.9771 + 8.70184i 0.499478 + 0.362892i
\(576\) −8.69458 + 26.7592i −0.362274 + 1.11497i
\(577\) −9.15223 28.1677i −0.381012 1.17264i −0.939332 0.343009i \(-0.888554\pi\)
0.558320 0.829626i \(-0.311446\pi\)
\(578\) −3.45315 + 2.50886i −0.143632 + 0.104355i
\(579\) 18.7722 + 57.7750i 0.780148 + 2.40105i
\(580\) 13.5147 + 9.81898i 0.561166 + 0.407711i
\(581\) 9.94470 + 7.22525i 0.412576 + 0.299754i
\(582\) 5.34398 3.88263i 0.221515 0.160940i
\(583\) 25.9858 1.07622
\(584\) −15.7289 −0.650867
\(585\) −3.27061 + 2.37624i −0.135223 + 0.0982455i
\(586\) 1.08680 3.34484i 0.0448955 0.138174i
\(587\) −4.27542 13.1584i −0.176465 0.543105i 0.823232 0.567705i \(-0.192169\pi\)
−0.999697 + 0.0246004i \(0.992169\pi\)
\(588\) −86.0695 −3.54944
\(589\) −0.426259 + 2.06054i −0.0175637 + 0.0849032i
\(590\) −0.341894 −0.0140755
\(591\) 5.76138 + 17.7317i 0.236992 + 0.729385i
\(592\) 6.94149 21.3637i 0.285293 0.878043i
\(593\) 24.8402 18.0474i 1.02006 0.741120i 0.0537677 0.998553i \(-0.482877\pi\)
0.966296 + 0.257434i \(0.0828769\pi\)
\(594\) 6.56971 0.269558
\(595\) 5.95925 0.244305
\(596\) 6.16736 4.48085i 0.252625 0.183543i
\(597\) 0.459087 + 0.333546i 0.0187892 + 0.0136511i
\(598\) 0.805012 + 0.584876i 0.0329194 + 0.0239174i
\(599\) −0.656009 2.01899i −0.0268038 0.0824936i 0.936760 0.349973i \(-0.113809\pi\)
−0.963564 + 0.267479i \(0.913809\pi\)
\(600\) 10.4777 7.61246i 0.427749 0.310778i
\(601\) −2.87219 8.83969i −0.117159 0.360578i 0.875232 0.483703i \(-0.160709\pi\)
−0.992391 + 0.123125i \(0.960709\pi\)
\(602\) −0.0932728 + 0.287064i −0.00380152 + 0.0116999i
\(603\) 10.1987 + 7.40976i 0.415322 + 0.301749i
\(604\) −11.5834 + 35.6500i −0.471321 + 1.45058i
\(605\) 4.59859 14.1530i 0.186959 0.575402i
\(606\) 4.96918 + 3.61032i 0.201859 + 0.146659i
\(607\) 6.21837 19.1382i 0.252396 0.776795i −0.741936 0.670471i \(-0.766092\pi\)
0.994332 0.106324i \(-0.0339080\pi\)
\(608\) −0.376729 1.15945i −0.0152784 0.0470221i
\(609\) −106.263 + 77.2047i −4.30600 + 3.12849i
\(610\) 0.194663 + 0.599113i 0.00788169 + 0.0242574i
\(611\) −0.362360 0.263270i −0.0146595 0.0106508i
\(612\) 9.99618 + 7.26265i 0.404072 + 0.293575i
\(613\) −20.6218 + 14.9826i −0.832906 + 0.605141i −0.920380 0.391025i \(-0.872120\pi\)
0.0874741 + 0.996167i \(0.472120\pi\)
\(614\) −0.517607 −0.0208889
\(615\) 26.7301 1.07786
\(616\) 22.9413 16.6678i 0.924331 0.671566i
\(617\) 2.93842 9.04353i 0.118296 0.364079i −0.874324 0.485343i \(-0.838695\pi\)
0.992620 + 0.121264i \(0.0386948\pi\)
\(618\) 3.87729 + 11.9331i 0.155967 + 0.480018i
\(619\) −5.44522 −0.218862 −0.109431 0.993994i \(-0.534903\pi\)
−0.109431 + 0.993994i \(0.534903\pi\)
\(620\) 9.35507 1.03483i 0.375709 0.0415600i
\(621\) 15.3532 0.616104
\(622\) −2.15416 6.62983i −0.0863740 0.265832i
\(623\) 17.2978 53.2371i 0.693021 2.13290i
\(624\) −7.85185 + 5.70470i −0.314325 + 0.228371i
\(625\) 13.9663 0.558652
\(626\) 5.74723 0.229706
\(627\) 4.44896 3.23236i 0.177674 0.129088i
\(628\) 28.4169 + 20.6461i 1.13396 + 0.823870i
\(629\) −7.23479 5.25639i −0.288470 0.209586i
\(630\) −1.71128 5.26678i −0.0681791 0.209834i
\(631\) −14.0162 + 10.1834i −0.557978 + 0.405394i −0.830718 0.556693i \(-0.812070\pi\)
0.272741 + 0.962088i \(0.412070\pi\)
\(632\) −1.39026 4.27879i −0.0553017 0.170201i
\(633\) 16.0246 49.3185i 0.636919 1.96024i
\(634\) 7.45985 + 5.41990i 0.296268 + 0.215252i
\(635\) 3.25917 10.0307i 0.129336 0.398056i
\(636\) 8.03954 24.7432i 0.318789 0.981130i
\(637\) −13.1680 9.56710i −0.521735 0.379062i
\(638\) 4.57937 14.0939i 0.181299 0.557981i
\(639\) −14.2129 43.7428i −0.562254 1.73044i
\(640\) −5.83713 + 4.24092i −0.230733 + 0.167637i
\(641\) 1.78096 + 5.48123i 0.0703436 + 0.216495i 0.980048 0.198761i \(-0.0636918\pi\)
−0.909704 + 0.415257i \(0.863692\pi\)
\(642\) −0.0263688 0.0191580i −0.00104069 0.000756107i
\(643\) 9.99759 + 7.26367i 0.394266 + 0.286451i 0.767202 0.641406i \(-0.221649\pi\)
−0.372935 + 0.927857i \(0.621649\pi\)
\(644\) 26.2552 19.0755i 1.03460 0.751682i
\(645\) 0.534658 0.0210521
\(646\) −0.150486 −0.00592079
\(647\) −36.8487 + 26.7721i −1.44867 + 1.05252i −0.462532 + 0.886603i \(0.653059\pi\)
−0.986139 + 0.165919i \(0.946941\pi\)
\(648\) −0.584934 + 1.80024i −0.0229784 + 0.0707202i
\(649\) −2.23149 6.86783i −0.0875938 0.269586i
\(650\) 1.19940 0.0470443
\(651\) −14.9919 + 72.4713i −0.587579 + 2.84037i
\(652\) −9.77220 −0.382709
\(653\) −10.7430 33.0635i −0.420406 1.29388i −0.907325 0.420429i \(-0.861880\pi\)
0.486920 0.873447i \(-0.338120\pi\)
\(654\) 0.262902 0.809129i 0.0102803 0.0316394i
\(655\) −6.17611 + 4.48721i −0.241321 + 0.175330i
\(656\) 38.8078 1.51519
\(657\) −64.8783 −2.53115
\(658\) 0.496372 0.360635i 0.0193506 0.0140590i
\(659\) 2.53634 + 1.84276i 0.0988018 + 0.0717837i 0.636089 0.771615i \(-0.280551\pi\)
−0.537287 + 0.843399i \(0.680551\pi\)
\(660\) −19.9005 14.4586i −0.774628 0.562800i
\(661\) −1.72114 5.29712i −0.0669446 0.206034i 0.911988 0.410216i \(-0.134547\pi\)
−0.978933 + 0.204182i \(0.934547\pi\)
\(662\) −4.75346 + 3.45359i −0.184748 + 0.134228i
\(663\) 1.19397 + 3.67467i 0.0463701 + 0.142713i
\(664\) −0.876160 + 2.69654i −0.0340016 + 0.104646i
\(665\) −1.29916 0.943894i −0.0503792 0.0366026i
\(666\) −2.56802 + 7.90355i −0.0995087 + 0.306256i
\(667\) 10.7019 32.9370i 0.414378 1.27533i
\(668\) −0.0370561 0.0269228i −0.00143374 0.00104167i
\(669\) −2.64214 + 8.13167i −0.102151 + 0.314388i
\(670\) 0.212224 + 0.653158i 0.00819892 + 0.0252337i
\(671\) −10.7642 + 7.82065i −0.415548 + 0.301913i
\(672\) −13.2499 40.7791i −0.511127 1.57309i
\(673\) 30.9463 + 22.4838i 1.19289 + 0.866687i 0.993567 0.113246i \(-0.0361248\pi\)
0.199326 + 0.979933i \(0.436125\pi\)
\(674\) −6.95301 5.05166i −0.267820 0.194583i
\(675\) 14.9719 10.8777i 0.576268 0.418683i
\(676\) −1.91938 −0.0738225
\(677\) 20.6091 0.792074 0.396037 0.918235i \(-0.370385\pi\)
0.396037 + 0.918235i \(0.370385\pi\)
\(678\) 1.42580 1.03590i 0.0547574 0.0397835i
\(679\) 12.5897 38.7471i 0.483148 1.48698i
\(680\) 0.424757 + 1.30727i 0.0162887 + 0.0501314i
\(681\) −5.37293 −0.205891
\(682\) −3.43760 7.60909i −0.131632 0.291367i
\(683\) 8.21255 0.314244 0.157122 0.987579i \(-0.449778\pi\)
0.157122 + 0.987579i \(0.449778\pi\)
\(684\) −1.02890 3.16662i −0.0393408 0.121079i
\(685\) −5.48258 + 16.8737i −0.209479 + 0.644709i
\(686\) 10.2804 7.46915i 0.392508 0.285174i
\(687\) 15.4583 0.589769
\(688\) 0.776238 0.0295938
\(689\) 3.98033 2.89188i 0.151639 0.110172i
\(690\) 1.95332 + 1.41917i 0.0743615 + 0.0540268i
\(691\) −0.705171 0.512336i −0.0268260 0.0194902i 0.574291 0.818651i \(-0.305278\pi\)
−0.601117 + 0.799161i \(0.705278\pi\)
\(692\) 6.30080 + 19.3919i 0.239521 + 0.737168i
\(693\) 94.6278 68.7511i 3.59461 2.61164i
\(694\) 0.418717 + 1.28868i 0.0158943 + 0.0489176i
\(695\) 1.27124 3.91248i 0.0482210 0.148409i
\(696\) −24.5103 17.8078i −0.929062 0.675003i
\(697\) 4.77420 14.6935i 0.180836 0.556555i
\(698\) −0.787881 + 2.42485i −0.0298217 + 0.0917819i
\(699\) 4.17754 + 3.03516i 0.158009 + 0.114800i
\(700\) 12.0881 37.2034i 0.456888 1.40616i
\(701\) −1.20138 3.69748i −0.0453756 0.139652i 0.925802 0.378009i \(-0.123391\pi\)
−0.971178 + 0.238357i \(0.923391\pi\)
\(702\) 1.00630 0.731122i 0.0379805 0.0275944i
\(703\) 0.744670 + 2.29186i 0.0280858 + 0.0864391i
\(704\) −26.1922 19.0298i −0.987156 0.717211i
\(705\) −0.879245 0.638809i −0.0331143 0.0240589i
\(706\) 1.44956 1.05317i 0.0545550 0.0396365i
\(707\) 37.8837 1.42476
\(708\) −7.22979 −0.271712
\(709\) 2.46864 1.79357i 0.0927117 0.0673590i −0.540464 0.841367i \(-0.681751\pi\)
0.633175 + 0.774008i \(0.281751\pi\)
\(710\) 0.774299 2.38305i 0.0290589 0.0894342i
\(711\) −5.73453 17.6491i −0.215062 0.661891i
\(712\) 12.9114 0.483877
\(713\) −8.03357 17.7822i −0.300859 0.665950i
\(714\) −5.29273 −0.198075
\(715\) −1.43748 4.42412i −0.0537588 0.165453i
\(716\) 13.3884 41.2052i 0.500348 1.53991i
\(717\) −35.2343 + 25.5992i −1.31585 + 0.956020i
\(718\) 1.50839 0.0562927
\(719\) −30.0828 −1.12190 −0.560950 0.827850i \(-0.689564\pi\)
−0.560950 + 0.827850i \(0.689564\pi\)
\(720\) −11.5217 + 8.37104i −0.429390 + 0.311970i
\(721\) 62.6079 + 45.4873i 2.33164 + 1.69404i
\(722\) −4.33154 3.14705i −0.161203 0.117121i
\(723\) 20.0535 + 61.7184i 0.745798 + 2.29533i
\(724\) −26.2726 + 19.0881i −0.976413 + 0.709405i
\(725\) −12.8997 39.7011i −0.479081 1.47446i
\(726\) −4.08426 + 12.5701i −0.151581 + 0.466519i
\(727\) −5.68941 4.13360i −0.211009 0.153307i 0.477261 0.878761i \(-0.341630\pi\)
−0.688270 + 0.725455i \(0.741630\pi\)
\(728\) 1.65908 5.10612i 0.0614896 0.189246i
\(729\) −13.6017 + 41.8618i −0.503768 + 1.55044i
\(730\) −2.85946 2.07752i −0.105833 0.0768924i
\(731\) 0.0954939 0.293900i 0.00353197 0.0108703i
\(732\) 4.11641 + 12.6690i 0.152147 + 0.468260i
\(733\) −18.3717 + 13.3478i −0.678575 + 0.493013i −0.872884 0.487927i \(-0.837753\pi\)
0.194310 + 0.980940i \(0.437753\pi\)
\(734\) −1.60542 4.94098i −0.0592572 0.182375i
\(735\) −31.9514 23.2140i −1.17854 0.856262i
\(736\) 9.14621 + 6.64511i 0.337134 + 0.244942i
\(737\) −11.7352 + 8.52614i −0.432273 + 0.314064i
\(738\) −14.3571 −0.528490
\(739\) −9.89175 −0.363874 −0.181937 0.983310i \(-0.558237\pi\)
−0.181937 + 0.983310i \(0.558237\pi\)
\(740\) 8.72059 6.33588i 0.320575 0.232912i
\(741\) 0.321742 0.990220i 0.0118195 0.0363767i
\(742\) 2.08263 + 6.40966i 0.0764556 + 0.235306i
\(743\) 1.20819 0.0443242 0.0221621 0.999754i \(-0.492945\pi\)
0.0221621 + 0.999754i \(0.492945\pi\)
\(744\) −16.9665 + 1.87679i −0.622020 + 0.0688064i
\(745\) 3.49804 0.128158
\(746\) −1.38152 4.25188i −0.0505810 0.155672i
\(747\) −3.61397 + 11.1226i −0.132228 + 0.406956i
\(748\) −11.5022 + 8.35686i −0.420563 + 0.305557i
\(749\) −0.201029 −0.00734543
\(750\) 6.35495 0.232050
\(751\) −9.80239 + 7.12185i −0.357694 + 0.259880i −0.752090 0.659061i \(-0.770954\pi\)
0.394396 + 0.918941i \(0.370954\pi\)
\(752\) −1.27652 0.927449i −0.0465500 0.0338206i
\(753\) 53.7818 + 39.0748i 1.95992 + 1.42396i
\(754\) −0.867024 2.66842i −0.0315751 0.0971783i
\(755\) −13.9153 + 10.1101i −0.506430 + 0.367943i
\(756\) −12.5362 38.5825i −0.455938 1.40323i
\(757\) 6.65493 20.4818i 0.241877 0.744422i −0.754257 0.656579i \(-0.772003\pi\)
0.996134 0.0878427i \(-0.0279973\pi\)
\(758\) −8.25448 5.99723i −0.299816 0.217829i
\(759\) −15.7587 + 48.5002i −0.572004 + 1.76045i
\(760\) 0.114460 0.352272i 0.00415190 0.0127782i
\(761\) 26.1941 + 19.0312i 0.949537 + 0.689879i 0.950697 0.310121i \(-0.100369\pi\)
−0.00116062 + 0.999999i \(0.500369\pi\)
\(762\) −2.89465 + 8.90881i −0.104862 + 0.322732i
\(763\) −1.62151 4.99050i −0.0587026 0.180668i