Properties

Label 120.2.w.c.77.3
Level $120$
Weight $2$
Character 120.77
Analytic conductor $0.958$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 120 = 2^{3} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 120.w (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.958204824255\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 77.3
Character \(\chi\) \(=\) 120.77
Dual form 120.2.w.c.53.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30986 - 0.533177i) q^{2} +(-1.59834 - 0.667305i) q^{3} +(1.43144 + 1.39677i) q^{4} +(-0.143028 + 2.23149i) q^{5} +(1.73781 + 1.72627i) q^{6} +(0.582772 + 0.582772i) q^{7} +(-1.13026 - 2.59278i) q^{8} +(2.10941 + 2.13317i) q^{9} +O(q^{10})\) \(q+(-1.30986 - 0.533177i) q^{2} +(-1.59834 - 0.667305i) q^{3} +(1.43144 + 1.39677i) q^{4} +(-0.143028 + 2.23149i) q^{5} +(1.73781 + 1.72627i) q^{6} +(0.582772 + 0.582772i) q^{7} +(-1.13026 - 2.59278i) q^{8} +(2.10941 + 2.13317i) q^{9} +(1.37713 - 2.84667i) q^{10} +3.68607 q^{11} +(-1.35587 - 3.18773i) q^{12} +(3.88771 + 3.88771i) q^{13} +(-0.452626 - 1.07407i) q^{14} +(1.71769 - 3.47124i) q^{15} +(0.0980619 + 3.99880i) q^{16} +(-0.880105 + 0.880105i) q^{17} +(-1.62567 - 3.91883i) q^{18} -6.32919 q^{19} +(-3.32162 + 2.99447i) q^{20} +(-0.542584 - 1.32036i) q^{21} +(-4.82821 - 1.96533i) q^{22} +(2.06626 + 2.06626i) q^{23} +(0.0763660 + 4.89838i) q^{24} +(-4.95909 - 0.638332i) q^{25} +(-3.01950 - 7.16518i) q^{26} +(-1.94809 - 4.81715i) q^{27} +(0.0202063 + 1.64820i) q^{28} +1.37122i q^{29} +(-4.10072 + 3.63099i) q^{30} +3.32075 q^{31} +(2.00362 - 5.29013i) q^{32} +(-5.89160 - 2.45973i) q^{33} +(1.62206 - 0.683558i) q^{34} +(-1.38380 + 1.21710i) q^{35} +(0.0399575 + 5.99987i) q^{36} +(2.44147 - 2.44147i) q^{37} +(8.29032 + 3.37458i) q^{38} +(-3.61961 - 8.80819i) q^{39} +(5.94742 - 2.15132i) q^{40} -0.648104i q^{41} +(0.00672215 + 2.01877i) q^{42} +(0.819412 + 0.819412i) q^{43} +(5.27640 + 5.14859i) q^{44} +(-5.06184 + 4.40202i) q^{45} +(-1.60482 - 3.80818i) q^{46} +(-6.28508 + 6.28508i) q^{47} +(2.51168 - 6.45689i) q^{48} -6.32075i q^{49} +(6.15534 + 3.48020i) q^{50} +(1.99401 - 0.819412i) q^{51} +(0.134798 + 10.9953i) q^{52} +(5.60782 - 5.60782i) q^{53} +(-0.0166776 + 7.34845i) q^{54} +(-0.527212 + 8.22542i) q^{55} +(0.852318 - 2.16968i) q^{56} +(10.1162 + 4.22349i) q^{57} +(0.731106 - 1.79611i) q^{58} -6.12026i q^{59} +(7.30731 - 2.56967i) q^{60} -5.13471i q^{61} +(-4.34971 - 1.77055i) q^{62} +(-0.0138443 + 2.47245i) q^{63} +(-5.44503 + 5.86102i) q^{64} +(-9.23144 + 8.11933i) q^{65} +(6.40568 + 6.36316i) q^{66} +(4.90636 - 4.90636i) q^{67} +(-2.48912 + 0.0305156i) q^{68} +(-1.92377 - 4.68141i) q^{69} +(2.46151 - 0.856408i) q^{70} -4.13251i q^{71} +(3.14666 - 7.88026i) q^{72} +(4.69820 - 4.69820i) q^{73} +(-4.49972 + 1.89624i) q^{74} +(7.50036 + 4.32950i) q^{75} +(-9.05987 - 8.84042i) q^{76} +(2.14814 + 2.14814i) q^{77} +(0.0448439 + 13.4674i) q^{78} +1.10079i q^{79} +(-8.93730 - 0.353117i) q^{80} +(-0.100786 + 8.99944i) q^{81} +(-0.345554 + 0.848922i) q^{82} +(-6.27439 + 6.27439i) q^{83} +(1.06756 - 2.64788i) q^{84} +(-1.83806 - 2.08982i) q^{85} +(-0.636420 - 1.51020i) q^{86} +(0.915024 - 2.19169i) q^{87} +(-4.16621 - 9.55717i) q^{88} +15.3562 q^{89} +(8.97734 - 3.06715i) q^{90} +4.53130i q^{91} +(0.0716428 + 5.84382i) q^{92} +(-5.30771 - 2.21595i) q^{93} +(11.5836 - 4.88148i) q^{94} +(0.905253 - 14.1235i) q^{95} +(-6.73261 + 7.11843i) q^{96} +(-5.42154 - 5.42154i) q^{97} +(-3.37008 + 8.27927i) q^{98} +(7.77542 + 7.86299i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 32 q - 4 q^{6} + 4 q^{10} - 8 q^{12} - 28 q^{15} + 28 q^{16} - 20 q^{18} - 52 q^{22} - 8 q^{25} + 12 q^{28} - 32 q^{30} - 32 q^{31} + 8 q^{33} - 20 q^{36} + 24 q^{40} + 16 q^{42} + 24 q^{46} + 44 q^{48} + 8 q^{52} + 8 q^{55} - 16 q^{57} + 28 q^{58} + 56 q^{60} + 48 q^{63} + 16 q^{66} + 20 q^{70} + 32 q^{72} - 64 q^{73} - 88 q^{76} + 64 q^{78} + 48 q^{81} + 64 q^{82} - 8 q^{87} - 52 q^{88} + 84 q^{90} - 52 q^{96} + 16 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(41\) \(61\) \(97\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30986 0.533177i −0.926208 0.377013i
\(3\) −1.59834 0.667305i −0.922805 0.385268i
\(4\) 1.43144 + 1.39677i 0.715722 + 0.698385i
\(5\) −0.143028 + 2.23149i −0.0639642 + 0.997952i
\(6\) 1.73781 + 1.72627i 0.709457 + 0.704748i
\(7\) 0.582772 + 0.582772i 0.220267 + 0.220267i 0.808611 0.588344i \(-0.200220\pi\)
−0.588344 + 0.808611i \(0.700220\pi\)
\(8\) −1.13026 2.59278i −0.399606 0.916687i
\(9\) 2.10941 + 2.13317i 0.703136 + 0.711055i
\(10\) 1.37713 2.84667i 0.435485 0.900196i
\(11\) 3.68607 1.11139 0.555695 0.831386i \(-0.312452\pi\)
0.555695 + 0.831386i \(0.312452\pi\)
\(12\) −1.35587 3.18773i −0.391405 0.920218i
\(13\) 3.88771 + 3.88771i 1.07826 + 1.07826i 0.996666 + 0.0815911i \(0.0260002\pi\)
0.0815911 + 0.996666i \(0.474000\pi\)
\(14\) −0.452626 1.07407i −0.120969 0.287057i
\(15\) 1.71769 3.47124i 0.443506 0.896271i
\(16\) 0.0980619 + 3.99880i 0.0245155 + 0.999699i
\(17\) −0.880105 + 0.880105i −0.213457 + 0.213457i −0.805734 0.592277i \(-0.798229\pi\)
0.592277 + 0.805734i \(0.298229\pi\)
\(18\) −1.62567 3.91883i −0.383173 0.923677i
\(19\) −6.32919 −1.45201 −0.726007 0.687687i \(-0.758626\pi\)
−0.726007 + 0.687687i \(0.758626\pi\)
\(20\) −3.32162 + 2.99447i −0.742736 + 0.669585i
\(21\) −0.542584 1.32036i −0.118402 0.288125i
\(22\) −4.82821 1.96533i −1.02938 0.419009i
\(23\) 2.06626 + 2.06626i 0.430844 + 0.430844i 0.888916 0.458071i \(-0.151460\pi\)
−0.458071 + 0.888916i \(0.651460\pi\)
\(24\) 0.0763660 + 4.89838i 0.0155882 + 0.999878i
\(25\) −4.95909 0.638332i −0.991817 0.127666i
\(26\) −3.01950 7.16518i −0.592173 1.40521i
\(27\) −1.94809 4.81715i −0.374910 0.927061i
\(28\) 0.0202063 + 1.64820i 0.00381863 + 0.311481i
\(29\) 1.37122i 0.254630i 0.991862 + 0.127315i \(0.0406359\pi\)
−0.991862 + 0.127315i \(0.959364\pi\)
\(30\) −4.10072 + 3.63099i −0.748685 + 0.662926i
\(31\) 3.32075 0.596425 0.298212 0.954500i \(-0.403610\pi\)
0.298212 + 0.954500i \(0.403610\pi\)
\(32\) 2.00362 5.29013i 0.354194 0.935172i
\(33\) −5.89160 2.45973i −1.02560 0.428184i
\(34\) 1.62206 0.683558i 0.278181 0.117229i
\(35\) −1.38380 + 1.21710i −0.233905 + 0.205727i
\(36\) 0.0399575 + 5.99987i 0.00665958 + 0.999978i
\(37\) 2.44147 2.44147i 0.401376 0.401376i −0.477342 0.878718i \(-0.658400\pi\)
0.878718 + 0.477342i \(0.158400\pi\)
\(38\) 8.29032 + 3.37458i 1.34487 + 0.547429i
\(39\) −3.61961 8.80819i −0.579602 1.41044i
\(40\) 5.94742 2.15132i 0.940370 0.340153i
\(41\) 0.648104i 0.101217i −0.998719 0.0506084i \(-0.983884\pi\)
0.998719 0.0506084i \(-0.0161160\pi\)
\(42\) 0.00672215 + 2.01877i 0.00103725 + 0.311503i
\(43\) 0.819412 + 0.819412i 0.124959 + 0.124959i 0.766821 0.641861i \(-0.221838\pi\)
−0.641861 + 0.766821i \(0.721838\pi\)
\(44\) 5.27640 + 5.14859i 0.795447 + 0.776179i
\(45\) −5.06184 + 4.40202i −0.754574 + 0.656214i
\(46\) −1.60482 3.80818i −0.236617 0.561485i
\(47\) −6.28508 + 6.28508i −0.916772 + 0.916772i −0.996793 0.0800208i \(-0.974501\pi\)
0.0800208 + 0.996793i \(0.474501\pi\)
\(48\) 2.51168 6.45689i 0.362530 0.931972i
\(49\) 6.32075i 0.902965i
\(50\) 6.15534 + 3.48020i 0.870497 + 0.492174i
\(51\) 1.99401 0.819412i 0.279217 0.114741i
\(52\) 0.134798 + 10.9953i 0.0186931 + 1.52477i
\(53\) 5.60782 5.60782i 0.770293 0.770293i −0.207864 0.978158i \(-0.566651\pi\)
0.978158 + 0.207864i \(0.0666512\pi\)
\(54\) −0.0166776 + 7.34845i −0.00226953 + 0.999997i
\(55\) −0.527212 + 8.22542i −0.0710892 + 1.10911i
\(56\) 0.852318 2.16968i 0.113896 0.289936i
\(57\) 10.1162 + 4.22349i 1.33993 + 0.559415i
\(58\) 0.731106 1.79611i 0.0959989 0.235840i
\(59\) 6.12026i 0.796790i −0.917214 0.398395i \(-0.869567\pi\)
0.917214 0.398395i \(-0.130433\pi\)
\(60\) 7.30731 2.56967i 0.943370 0.331743i
\(61\) 5.13471i 0.657432i −0.944429 0.328716i \(-0.893384\pi\)
0.944429 0.328716i \(-0.106616\pi\)
\(62\) −4.34971 1.77055i −0.552413 0.224860i
\(63\) −0.0138443 + 2.47245i −0.00174421 + 0.311500i
\(64\) −5.44503 + 5.86102i −0.680629 + 0.732628i
\(65\) −9.23144 + 8.11933i −1.14502 + 1.00708i
\(66\) 6.40568 + 6.36316i 0.788484 + 0.783251i
\(67\) 4.90636 4.90636i 0.599408 0.599408i −0.340747 0.940155i \(-0.610680\pi\)
0.940155 + 0.340747i \(0.110680\pi\)
\(68\) −2.48912 + 0.0305156i −0.301851 + 0.00370056i
\(69\) −1.92377 4.68141i −0.231594 0.563576i
\(70\) 2.46151 0.856408i 0.294207 0.102360i
\(71\) 4.13251i 0.490439i −0.969468 0.245220i \(-0.921140\pi\)
0.969468 0.245220i \(-0.0788601\pi\)
\(72\) 3.14666 7.88026i 0.370837 0.928698i
\(73\) 4.69820 4.69820i 0.549883 0.549883i −0.376524 0.926407i \(-0.622881\pi\)
0.926407 + 0.376524i \(0.122881\pi\)
\(74\) −4.49972 + 1.89624i −0.523082 + 0.220433i
\(75\) 7.50036 + 4.32950i 0.866068 + 0.499927i
\(76\) −9.05987 8.84042i −1.03924 1.01407i
\(77\) 2.14814 + 2.14814i 0.244803 + 0.244803i
\(78\) 0.0448439 + 13.4674i 0.00507757 + 1.52488i
\(79\) 1.10079i 0.123848i 0.998081 + 0.0619241i \(0.0197237\pi\)
−0.998081 + 0.0619241i \(0.980276\pi\)
\(80\) −8.93730 0.353117i −0.999220 0.0394797i
\(81\) −0.100786 + 8.99944i −0.0111985 + 0.999937i
\(82\) −0.345554 + 0.848922i −0.0381601 + 0.0937478i
\(83\) −6.27439 + 6.27439i −0.688703 + 0.688703i −0.961945 0.273242i \(-0.911904\pi\)
0.273242 + 0.961945i \(0.411904\pi\)
\(84\) 1.06756 2.64788i 0.116480 0.288908i
\(85\) −1.83806 2.08982i −0.199366 0.226673i
\(86\) −0.636420 1.51020i −0.0686269 0.162849i
\(87\) 0.915024 2.19169i 0.0981009 0.234974i
\(88\) −4.16621 9.55717i −0.444119 1.01880i
\(89\) 15.3562 1.62775 0.813875 0.581040i \(-0.197354\pi\)
0.813875 + 0.581040i \(0.197354\pi\)
\(90\) 8.97734 3.06715i 0.946294 0.323306i
\(91\) 4.53130i 0.475009i
\(92\) 0.0716428 + 5.84382i 0.00746928 + 0.609260i
\(93\) −5.30771 2.21595i −0.550384 0.229784i
\(94\) 11.5836 4.88148i 1.19476 0.503486i
\(95\) 0.905253 14.1235i 0.0928770 1.44904i
\(96\) −6.73261 + 7.11843i −0.687144 + 0.726521i
\(97\) −5.42154 5.42154i −0.550474 0.550474i 0.376104 0.926578i \(-0.377264\pi\)
−0.926578 + 0.376104i \(0.877264\pi\)
\(98\) −3.37008 + 8.27927i −0.340430 + 0.836333i
\(99\) 7.77542 + 7.86299i 0.781459 + 0.790260i
\(100\) −6.20705 7.84044i −0.620705 0.784044i
\(101\) −9.84442 −0.979556 −0.489778 0.871847i \(-0.662922\pi\)
−0.489778 + 0.871847i \(0.662922\pi\)
\(102\) −3.04875 + 0.0101518i −0.301872 + 0.00100518i
\(103\) −8.28098 + 8.28098i −0.815949 + 0.815949i −0.985518 0.169569i \(-0.945762\pi\)
0.169569 + 0.985518i \(0.445762\pi\)
\(104\) 5.68587 14.4741i 0.557545 1.41930i
\(105\) 3.02397 1.02192i 0.295109 0.0997293i
\(106\) −10.3354 + 4.35547i −1.00386 + 0.423041i
\(107\) 5.84678 + 5.84678i 0.565230 + 0.565230i 0.930788 0.365559i \(-0.119122\pi\)
−0.365559 + 0.930788i \(0.619122\pi\)
\(108\) 3.93987 9.61652i 0.379114 0.925350i
\(109\) −11.7033 −1.12097 −0.560487 0.828163i \(-0.689386\pi\)
−0.560487 + 0.828163i \(0.689386\pi\)
\(110\) 5.07618 10.4930i 0.483995 1.00047i
\(111\) −5.53152 + 2.27311i −0.525029 + 0.215754i
\(112\) −2.27324 + 2.38754i −0.214801 + 0.225601i
\(113\) −8.58333 8.58333i −0.807452 0.807452i 0.176796 0.984248i \(-0.443427\pi\)
−0.984248 + 0.176796i \(0.943427\pi\)
\(114\) −10.9989 10.9259i −1.03014 1.02330i
\(115\) −4.90636 + 4.31530i −0.457521 + 0.402403i
\(116\) −1.91529 + 1.96283i −0.177830 + 0.182244i
\(117\) −0.0923560 + 16.4939i −0.00853832 + 1.52486i
\(118\) −3.26318 + 8.01666i −0.300400 + 0.737993i
\(119\) −1.02580 −0.0940350
\(120\) −10.9416 0.530198i −0.998828 0.0484002i
\(121\) 2.58708 0.235189
\(122\) −2.73771 + 6.72573i −0.247861 + 0.608919i
\(123\) −0.432483 + 1.03589i −0.0389956 + 0.0934033i
\(124\) 4.75347 + 4.63833i 0.426874 + 0.416535i
\(125\) 2.13372 10.9748i 0.190846 0.981620i
\(126\) 1.33639 3.23118i 0.119055 0.287856i
\(127\) −0.0146460 0.0146460i −0.00129962 0.00129962i 0.706457 0.707756i \(-0.250293\pi\)
−0.707756 + 0.706457i \(0.750293\pi\)
\(128\) 10.2572 4.77393i 0.906615 0.421959i
\(129\) −0.762905 1.85650i −0.0671701 0.163456i
\(130\) 16.4209 5.71316i 1.44021 0.501077i
\(131\) −5.23989 −0.457811 −0.228906 0.973449i \(-0.573515\pi\)
−0.228906 + 0.973449i \(0.573515\pi\)
\(132\) −4.99782 11.7502i −0.435004 1.02272i
\(133\) −3.68847 3.68847i −0.319831 0.319831i
\(134\) −9.04259 + 3.81066i −0.781161 + 0.329191i
\(135\) 11.0281 3.65816i 0.949143 0.314844i
\(136\) 3.27666 + 1.28717i 0.280972 + 0.110374i
\(137\) 14.0984 14.0984i 1.20450 1.20450i 0.231722 0.972782i \(-0.425564\pi\)
0.972782 0.231722i \(-0.0744360\pi\)
\(138\) 0.0238338 + 7.15768i 0.00202887 + 0.609302i
\(139\) 9.22166 0.782171 0.391085 0.920354i \(-0.372100\pi\)
0.391085 + 0.920354i \(0.372100\pi\)
\(140\) −3.68084 0.190650i −0.311088 0.0161128i
\(141\) 14.2398 5.85165i 1.19921 0.492798i
\(142\) −2.20336 + 5.41300i −0.184902 + 0.454249i
\(143\) 14.3304 + 14.3304i 1.19836 + 1.19836i
\(144\) −8.32324 + 8.64428i −0.693604 + 0.720357i
\(145\) −3.05987 0.196124i −0.254109 0.0162872i
\(146\) −8.65895 + 3.64899i −0.716619 + 0.301993i
\(147\) −4.21787 + 10.1027i −0.347884 + 0.833260i
\(148\) 6.90501 0.0846526i 0.567589 0.00695840i
\(149\) 14.0054i 1.14737i 0.819076 + 0.573685i \(0.194487\pi\)
−0.819076 + 0.573685i \(0.805513\pi\)
\(150\) −7.51601 9.67004i −0.613679 0.789555i
\(151\) 13.1301 1.06851 0.534255 0.845323i \(-0.320592\pi\)
0.534255 + 0.845323i \(0.320592\pi\)
\(152\) 7.15361 + 16.4102i 0.580234 + 1.33104i
\(153\) −3.73391 0.0209077i −0.301869 0.00169028i
\(154\) −1.66841 3.95909i −0.134444 0.319032i
\(155\) −0.474962 + 7.41023i −0.0381498 + 0.595204i
\(156\) 7.12175 17.6642i 0.570196 1.41427i
\(157\) 6.36936 6.36936i 0.508330 0.508330i −0.405683 0.914014i \(-0.632966\pi\)
0.914014 + 0.405683i \(0.132966\pi\)
\(158\) 0.586914 1.44187i 0.0466924 0.114709i
\(159\) −12.7054 + 5.22110i −1.00760 + 0.414060i
\(160\) 11.5183 + 5.22770i 0.910601 + 0.413286i
\(161\) 2.40831i 0.189802i
\(162\) 4.93031 11.7342i 0.387362 0.921928i
\(163\) 3.46013 + 3.46013i 0.271018 + 0.271018i 0.829510 0.558492i \(-0.188620\pi\)
−0.558492 + 0.829510i \(0.688620\pi\)
\(164\) 0.905253 0.927724i 0.0706884 0.0724431i
\(165\) 6.33152 12.7952i 0.492908 0.996108i
\(166\) 11.5639 4.87318i 0.897533 0.378232i
\(167\) −0.954151 + 0.954151i −0.0738345 + 0.0738345i −0.743060 0.669225i \(-0.766626\pi\)
0.669225 + 0.743060i \(0.266626\pi\)
\(168\) −2.81014 + 2.89915i −0.216807 + 0.223674i
\(169\) 17.2286i 1.32528i
\(170\) 1.29335 + 3.71738i 0.0991955 + 0.285110i
\(171\) −13.3508 13.5012i −1.02096 1.03246i
\(172\) 0.0284113 + 2.31747i 0.00216634 + 0.176706i
\(173\) −1.80240 + 1.80240i −0.137034 + 0.137034i −0.772296 0.635262i \(-0.780892\pi\)
0.635262 + 0.772296i \(0.280892\pi\)
\(174\) −2.36711 + 2.38293i −0.179450 + 0.180649i
\(175\) −2.51801 3.26202i −0.190344 0.246585i
\(176\) 0.361463 + 14.7398i 0.0272463 + 1.11106i
\(177\) −4.08408 + 9.78228i −0.306978 + 0.735281i
\(178\) −20.1144 8.18756i −1.50763 0.613683i
\(179\) 24.0166i 1.79508i −0.440930 0.897541i \(-0.645351\pi\)
0.440930 0.897541i \(-0.354649\pi\)
\(180\) −13.3944 0.768986i −0.998356 0.0573168i
\(181\) 21.7210i 1.61451i 0.590205 + 0.807253i \(0.299047\pi\)
−0.590205 + 0.807253i \(0.700953\pi\)
\(182\) 2.41599 5.93535i 0.179085 0.439957i
\(183\) −3.42641 + 8.20703i −0.253288 + 0.606681i
\(184\) 3.02195 7.69276i 0.222781 0.567117i
\(185\) 5.09892 + 5.79732i 0.374880 + 0.426228i
\(186\) 5.77083 + 5.73253i 0.423138 + 0.420329i
\(187\) −3.24412 + 3.24412i −0.237234 + 0.237234i
\(188\) −17.7755 + 0.217921i −1.29641 + 0.0158935i
\(189\) 1.67201 3.94259i 0.121621 0.286781i
\(190\) −8.71609 + 18.0171i −0.632331 + 1.30710i
\(191\) 12.9839i 0.939479i −0.882805 0.469739i \(-0.844348\pi\)
0.882805 0.469739i \(-0.155652\pi\)
\(192\) 12.6141 5.73444i 0.910346 0.413847i
\(193\) 9.48630 9.48630i 0.682839 0.682839i −0.277800 0.960639i \(-0.589605\pi\)
0.960639 + 0.277800i \(0.0896053\pi\)
\(194\) 4.21079 + 9.99208i 0.302317 + 0.717389i
\(195\) 20.1731 6.81731i 1.44462 0.488197i
\(196\) 8.82864 9.04780i 0.630617 0.646272i
\(197\) −12.8606 12.8606i −0.916280 0.916280i 0.0804765 0.996757i \(-0.474356\pi\)
−0.996757 + 0.0804765i \(0.974356\pi\)
\(198\) −5.99231 14.4451i −0.425855 1.02657i
\(199\) 0.0463625i 0.00328655i −0.999999 0.00164328i \(-0.999477\pi\)
0.999999 0.00164328i \(-0.000523071\pi\)
\(200\) 3.94999 + 13.5793i 0.279306 + 0.960202i
\(201\) −11.1161 + 4.56802i −0.784069 + 0.322203i
\(202\) 12.8948 + 5.24882i 0.907273 + 0.369306i
\(203\) −0.799111 + 0.799111i −0.0560866 + 0.0560866i
\(204\) 3.99884 + 1.61223i 0.279975 + 0.112879i
\(205\) 1.44624 + 0.0926972i 0.101010 + 0.00647425i
\(206\) 15.2621 6.43165i 1.06336 0.448115i
\(207\) −0.0490858 + 8.76625i −0.00341170 + 0.609296i
\(208\) −15.1649 + 15.9274i −1.05150 + 1.10437i
\(209\) −23.3298 −1.61376
\(210\) −4.50582 0.273741i −0.310931 0.0188899i
\(211\) 0.591066i 0.0406907i 0.999793 + 0.0203453i \(0.00647657\pi\)
−0.999793 + 0.0203453i \(0.993523\pi\)
\(212\) 15.8601 0.194439i 1.08928 0.0133541i
\(213\) −2.75765 + 6.60518i −0.188951 + 0.452579i
\(214\) −4.54107 10.7758i −0.310421 0.736619i
\(215\) −1.94571 + 1.71131i −0.132696 + 0.116710i
\(216\) −10.2880 + 10.4956i −0.700008 + 0.714135i
\(217\) 1.93524 + 1.93524i 0.131373 + 0.131373i
\(218\) 15.3296 + 6.23994i 1.03825 + 0.422622i
\(219\) −10.6445 + 4.37421i −0.719287 + 0.295582i
\(220\) −12.2437 + 11.0378i −0.825470 + 0.744170i
\(221\) −6.84318 −0.460322
\(222\) 8.45747 0.0281619i 0.567628 0.00189010i
\(223\) 16.8577 16.8577i 1.12888 1.12888i 0.138517 0.990360i \(-0.455767\pi\)
0.990360 0.138517i \(-0.0442335\pi\)
\(224\) 4.25060 1.91529i 0.284005 0.127970i
\(225\) −9.09907 11.9251i −0.606605 0.795003i
\(226\) 6.66649 + 15.8194i 0.443448 + 1.05229i
\(227\) −7.23390 7.23390i −0.480131 0.480131i 0.425043 0.905173i \(-0.360259\pi\)
−0.905173 + 0.425043i \(0.860259\pi\)
\(228\) 8.58154 + 20.1757i 0.568326 + 1.33617i
\(229\) 23.0081 1.52042 0.760210 0.649677i \(-0.225096\pi\)
0.760210 + 0.649677i \(0.225096\pi\)
\(230\) 8.72744 3.03645i 0.575471 0.200218i
\(231\) −2.00000 4.86692i −0.131590 0.320220i
\(232\) 3.55529 1.54984i 0.233416 0.101752i
\(233\) 4.45082 + 4.45082i 0.291583 + 0.291583i 0.837705 0.546122i \(-0.183897\pi\)
−0.546122 + 0.837705i \(0.683897\pi\)
\(234\) 8.91515 21.5554i 0.582802 1.40912i
\(235\) −13.1261 14.9240i −0.856254 0.973536i
\(236\) 8.54860 8.76081i 0.556466 0.570280i
\(237\) 0.734560 1.75944i 0.0477148 0.114288i
\(238\) 1.34365 + 0.546934i 0.0870959 + 0.0354524i
\(239\) −4.03472 −0.260984 −0.130492 0.991449i \(-0.541656\pi\)
−0.130492 + 0.991449i \(0.541656\pi\)
\(240\) 14.0492 + 6.52830i 0.906875 + 0.421400i
\(241\) −11.4612 −0.738279 −0.369139 0.929374i \(-0.620347\pi\)
−0.369139 + 0.929374i \(0.620347\pi\)
\(242\) −3.38871 1.37937i −0.217834 0.0886696i
\(243\) 6.16646 14.3169i 0.395578 0.918432i
\(244\) 7.17201 7.35005i 0.459141 0.470538i
\(245\) 14.1047 + 0.904047i 0.901116 + 0.0577574i
\(246\) 1.11880 1.12628i 0.0713324 0.0718090i
\(247\) −24.6060 24.6060i −1.56564 1.56564i
\(248\) −3.75331 8.60999i −0.238335 0.546735i
\(249\) 14.2156 5.84170i 0.900874 0.370203i
\(250\) −8.64641 + 13.2378i −0.546847 + 0.837233i
\(251\) 17.4804 1.10335 0.551677 0.834058i \(-0.313988\pi\)
0.551677 + 0.834058i \(0.313988\pi\)
\(252\) −3.47327 + 3.51984i −0.218795 + 0.221729i
\(253\) 7.61636 + 7.61636i 0.478836 + 0.478836i
\(254\) 0.0113752 + 0.0269930i 0.000713745 + 0.00169369i
\(255\) 1.54331 + 4.56681i 0.0966458 + 0.285984i
\(256\) −15.9808 + 0.784260i −0.998798 + 0.0490162i
\(257\) −6.77283 + 6.77283i −0.422477 + 0.422477i −0.886056 0.463578i \(-0.846565\pi\)
0.463578 + 0.886056i \(0.346565\pi\)
\(258\) 0.00945175 + 2.83851i 0.000588440 + 0.176718i
\(259\) 2.84565 0.176820
\(260\) −24.5551 1.27184i −1.52284 0.0788760i
\(261\) −2.92505 + 2.89247i −0.181056 + 0.179040i
\(262\) 6.86350 + 2.79379i 0.424028 + 0.172601i
\(263\) −15.3708 15.3708i −0.947805 0.947805i 0.0508987 0.998704i \(-0.483791\pi\)
−0.998704 + 0.0508987i \(0.983791\pi\)
\(264\) 0.281490 + 18.0558i 0.0173245 + 1.11126i
\(265\) 11.7117 + 13.3159i 0.719445 + 0.817987i
\(266\) 2.86476 + 6.79798i 0.175649 + 0.416811i
\(267\) −24.5444 10.2472i −1.50209 0.627121i
\(268\) 13.8762 0.170117i 0.847627 0.0103916i
\(269\) 9.58859i 0.584627i 0.956323 + 0.292313i \(0.0944250\pi\)
−0.956323 + 0.292313i \(0.905575\pi\)
\(270\) −16.3956 1.08825i −0.997804 0.0662289i
\(271\) −20.9078 −1.27006 −0.635030 0.772487i \(-0.719012\pi\)
−0.635030 + 0.772487i \(0.719012\pi\)
\(272\) −3.60567 3.43306i −0.218626 0.208160i
\(273\) 3.02376 7.24257i 0.183006 0.438341i
\(274\) −25.9837 + 10.9499i −1.56974 + 0.661507i
\(275\) −18.2795 2.35293i −1.10230 0.141887i
\(276\) 3.78510 9.38824i 0.227836 0.565106i
\(277\) −8.86336 + 8.86336i −0.532547 + 0.532547i −0.921330 0.388782i \(-0.872896\pi\)
0.388782 + 0.921330i \(0.372896\pi\)
\(278\) −12.0790 4.91678i −0.724453 0.294889i
\(279\) 7.00483 + 7.08372i 0.419368 + 0.424091i
\(280\) 4.71972 + 2.21226i 0.282057 + 0.132208i
\(281\) 12.1925i 0.727341i −0.931528 0.363670i \(-0.881523\pi\)
0.931528 0.363670i \(-0.118477\pi\)
\(282\) −21.7720 + 0.0724970i −1.29650 + 0.00431713i
\(283\) −11.6799 11.6799i −0.694298 0.694298i 0.268877 0.963175i \(-0.413348\pi\)
−0.963175 + 0.268877i \(0.913348\pi\)
\(284\) 5.77217 5.91546i 0.342516 0.351018i
\(285\) −10.8716 + 21.9701i −0.643977 + 1.30140i
\(286\) −11.1301 26.4113i −0.658135 1.56173i
\(287\) 0.377697 0.377697i 0.0222947 0.0222947i
\(288\) 15.5112 6.88500i 0.914005 0.405702i
\(289\) 15.4508i 0.908872i
\(290\) 3.90342 + 1.88835i 0.229217 + 0.110888i
\(291\) 5.04767 + 12.2833i 0.295900 + 0.720060i
\(292\) 13.2875 0.162900i 0.777594 0.00953298i
\(293\) 5.16432 5.16432i 0.301703 0.301703i −0.539977 0.841680i \(-0.681567\pi\)
0.841680 + 0.539977i \(0.181567\pi\)
\(294\) 10.9114 10.9843i 0.636363 0.640615i
\(295\) 13.6573 + 0.875370i 0.795158 + 0.0509660i
\(296\) −9.08971 3.57071i −0.528328 0.207544i
\(297\) −7.18079 17.7563i −0.416672 1.03033i
\(298\) 7.46739 18.3451i 0.432574 1.06270i
\(299\) 16.0660i 0.929122i
\(300\) 4.68904 + 16.6737i 0.270722 + 0.962658i
\(301\) 0.955061i 0.0550488i
\(302\) −17.1985 7.00066i −0.989663 0.402843i
\(303\) 15.7348 + 6.56923i 0.903939 + 0.377392i
\(304\) −0.620652 25.3091i −0.0355968 1.45158i
\(305\) 11.4580 + 0.734409i 0.656086 + 0.0420521i
\(306\) 4.87973 + 2.01822i 0.278956 + 0.115374i
\(307\) 9.19824 9.19824i 0.524972 0.524972i −0.394097 0.919069i \(-0.628943\pi\)
0.919069 + 0.394097i \(0.128943\pi\)
\(308\) 0.0744818 + 6.07539i 0.00424399 + 0.346177i
\(309\) 18.7618 7.70992i 1.06732 0.438602i
\(310\) 4.57310 9.45309i 0.259734 0.536899i
\(311\) 30.5690i 1.73341i 0.498821 + 0.866705i \(0.333767\pi\)
−0.498821 + 0.866705i \(0.666233\pi\)
\(312\) −18.7466 + 19.3404i −1.06132 + 1.09493i
\(313\) −16.4612 + 16.4612i −0.930440 + 0.930440i −0.997733 0.0672931i \(-0.978564\pi\)
0.0672931 + 0.997733i \(0.478564\pi\)
\(314\) −11.7389 + 4.94694i −0.662467 + 0.279172i
\(315\) −5.51527 0.384524i −0.310750 0.0216655i
\(316\) −1.53755 + 1.57571i −0.0864937 + 0.0886408i
\(317\) 0.000616701 0 0.000616701i 3.46374e−5 0 3.46374e-5i 0.707124 0.707089i \(-0.249992\pi\)
−0.707089 + 0.707124i \(0.749992\pi\)
\(318\) 19.4260 0.0646850i 1.08935 0.00362736i
\(319\) 5.05442i 0.282993i
\(320\) −12.3000 12.9888i −0.687592 0.726097i
\(321\) −5.44358 13.2468i −0.303831 0.739362i
\(322\) 1.28406 3.15454i 0.0715578 0.175796i
\(323\) 5.57034 5.57034i 0.309942 0.309942i
\(324\) −12.7144 + 12.7414i −0.706357 + 0.707856i
\(325\) −16.7978 21.7611i −0.931777 1.20709i
\(326\) −2.68740 6.37713i −0.148842 0.353196i
\(327\) 18.7059 + 7.80967i 1.03444 + 0.431876i
\(328\) −1.68039 + 0.732524i −0.0927841 + 0.0404469i
\(329\) −7.32553 −0.403870
\(330\) −15.1155 + 13.3841i −0.832082 + 0.736770i
\(331\) 8.28613i 0.455447i 0.973726 + 0.227724i \(0.0731283\pi\)
−0.973726 + 0.227724i \(0.926872\pi\)
\(332\) −17.7453 + 0.217550i −0.973901 + 0.0119396i
\(333\) 10.3581 + 0.0579994i 0.567622 + 0.00317835i
\(334\) 1.75853 0.741069i 0.0962226 0.0405495i
\(335\) 10.2467 + 11.6502i 0.559839 + 0.636521i
\(336\) 5.22663 2.29916i 0.285136 0.125429i
\(337\) 2.27666 + 2.27666i 0.124018 + 0.124018i 0.766392 0.642374i \(-0.222050\pi\)
−0.642374 + 0.766392i \(0.722050\pi\)
\(338\) 9.18590 22.5670i 0.499647 1.22748i
\(339\) 7.99142 + 19.4468i 0.434035 + 1.05621i
\(340\) 0.287920 5.55882i 0.0156147 0.301469i
\(341\) 12.2405 0.662861
\(342\) 10.2891 + 24.8030i 0.556373 + 1.34119i
\(343\) 7.76296 7.76296i 0.419161 0.419161i
\(344\) 1.19841 3.05070i 0.0646139 0.164483i
\(345\) 10.7217 3.62329i 0.577235 0.195071i
\(346\) 3.32189 1.39989i 0.178586 0.0752584i
\(347\) 18.6384 + 18.6384i 1.00056 + 1.00056i 1.00000 0.000564305i \(0.000179624\pi\)
0.000564305 1.00000i \(0.499820\pi\)
\(348\) 4.37109 1.85920i 0.234315 0.0996636i
\(349\) −17.7267 −0.948889 −0.474445 0.880285i \(-0.657351\pi\)
−0.474445 + 0.880285i \(0.657351\pi\)
\(350\) 1.55900 + 5.61532i 0.0833321 + 0.300152i
\(351\) 11.1541 26.3013i 0.595360 1.40386i
\(352\) 7.38548 19.4998i 0.393648 1.03934i
\(353\) 10.5779 + 10.5779i 0.563007 + 0.563007i 0.930160 0.367153i \(-0.119668\pi\)
−0.367153 + 0.930160i \(0.619668\pi\)
\(354\) 10.5652 10.6358i 0.561536 0.565288i
\(355\) 9.22166 + 0.591066i 0.489435 + 0.0313705i
\(356\) 21.9815 + 21.4490i 1.16502 + 1.13680i
\(357\) 1.63958 + 0.684521i 0.0867759 + 0.0362287i
\(358\) −12.8051 + 31.4582i −0.676770 + 1.66262i
\(359\) 24.7266 1.30502 0.652510 0.757780i \(-0.273716\pi\)
0.652510 + 0.757780i \(0.273716\pi\)
\(360\) 17.1347 + 8.14883i 0.903076 + 0.429481i
\(361\) 21.0586 1.10835
\(362\) 11.5811 28.4513i 0.608691 1.49537i
\(363\) −4.13505 1.72637i −0.217034 0.0906111i
\(364\) −6.32919 + 6.48630i −0.331739 + 0.339974i
\(365\) 9.81201 + 11.1560i 0.513584 + 0.583930i
\(366\) 8.86391 8.92314i 0.463324 0.466420i
\(367\) 9.33767 + 9.33767i 0.487423 + 0.487423i 0.907492 0.420069i \(-0.137994\pi\)
−0.420069 + 0.907492i \(0.637994\pi\)
\(368\) −8.05992 + 8.46516i −0.420152 + 0.441277i
\(369\) 1.38251 1.36712i 0.0719707 0.0711692i
\(370\) −3.58785 10.3123i −0.186524 0.536110i
\(371\) 6.53616 0.339341
\(372\) −4.50250 10.5857i −0.233444 0.548841i
\(373\) −11.9025 11.9025i −0.616291 0.616291i 0.328287 0.944578i \(-0.393529\pi\)
−0.944578 + 0.328287i \(0.893529\pi\)
\(374\) 5.97903 2.51964i 0.309168 0.130288i
\(375\) −10.7340 + 16.1177i −0.554301 + 0.832317i
\(376\) 23.3996 + 9.19207i 1.20674 + 0.474045i
\(377\) −5.33092 + 5.33092i −0.274557 + 0.274557i
\(378\) −4.29219 + 4.27275i −0.220766 + 0.219767i
\(379\) −2.73341 −0.140406 −0.0702029 0.997533i \(-0.522365\pi\)
−0.0702029 + 0.997533i \(0.522365\pi\)
\(380\) 21.0231 18.9526i 1.07846 0.972247i
\(381\) 0.0136360 + 0.0331827i 0.000698593 + 0.00170000i
\(382\) −6.92270 + 17.0070i −0.354196 + 0.870153i
\(383\) −17.6065 17.6065i −0.899651 0.899651i 0.0957539 0.995405i \(-0.469474\pi\)
−0.995405 + 0.0957539i \(0.969474\pi\)
\(384\) −19.5802 + 0.785717i −0.999196 + 0.0400960i
\(385\) −5.10079 + 4.48630i −0.259960 + 0.228643i
\(386\) −17.4836 + 7.36780i −0.889890 + 0.375011i
\(387\) −0.0194659 + 3.47642i −0.000989506 + 0.176716i
\(388\) −0.187980 15.3333i −0.00954322 0.778429i
\(389\) 25.1335i 1.27432i 0.770731 + 0.637160i \(0.219891\pi\)
−0.770731 + 0.637160i \(0.780109\pi\)
\(390\) −30.0587 1.82614i −1.52208 0.0924704i
\(391\) −3.63704 −0.183933
\(392\) −16.3883 + 7.14408i −0.827736 + 0.360831i
\(393\) 8.37515 + 3.49660i 0.422470 + 0.176380i
\(394\) 9.98855 + 23.7025i 0.503216 + 1.19412i
\(395\) −2.45639 0.157444i −0.123594 0.00792185i
\(396\) 0.147286 + 22.1159i 0.00740139 + 1.11137i
\(397\) 5.42664 5.42664i 0.272355 0.272355i −0.557692 0.830048i \(-0.688313\pi\)
0.830048 + 0.557692i \(0.188313\pi\)
\(398\) −0.0247195 + 0.0607282i −0.00123907 + 0.00304403i
\(399\) 3.43411 + 8.35678i 0.171921 + 0.418362i
\(400\) 2.06626 19.8930i 0.103313 0.994649i
\(401\) 5.15831i 0.257594i 0.991671 + 0.128797i \(0.0411115\pi\)
−0.991671 + 0.128797i \(0.958888\pi\)
\(402\) 16.9960 0.0565939i 0.847686 0.00282264i
\(403\) 12.9101 + 12.9101i 0.643099 + 0.643099i
\(404\) −14.0917 13.7504i −0.701090 0.684108i
\(405\) −20.0677 1.51208i −0.997173 0.0751357i
\(406\) 1.47279 0.620652i 0.0730933 0.0308025i
\(407\) 8.99944 8.99944i 0.446085 0.446085i
\(408\) −4.37830 4.24388i −0.216758 0.210103i
\(409\) 14.1638i 0.700356i −0.936683 0.350178i \(-0.886121\pi\)
0.936683 0.350178i \(-0.113879\pi\)
\(410\) −1.84494 0.892521i −0.0911149 0.0440785i
\(411\) −31.9419 + 13.1261i −1.57558 + 0.647464i
\(412\) −23.4204 + 0.287124i −1.15384 + 0.0141456i
\(413\) 3.56672 3.56672i 0.175507 0.175507i
\(414\) 4.73826 11.4563i 0.232873 0.563049i
\(415\) −13.1038 14.8986i −0.643241 0.731345i
\(416\) 28.3560 12.7770i 1.39027 0.626444i
\(417\) −14.7394 6.15365i −0.721791 0.301346i
\(418\) 30.5587 + 12.4389i 1.49467 + 0.608407i
\(419\) 4.80514i 0.234746i 0.993088 + 0.117373i \(0.0374474\pi\)
−0.993088 + 0.117373i \(0.962553\pi\)
\(420\) 5.75603 + 2.76097i 0.280865 + 0.134721i
\(421\) 15.2187i 0.741716i −0.928690 0.370858i \(-0.879064\pi\)
0.928690 0.370858i \(-0.120936\pi\)
\(422\) 0.315143 0.774212i 0.0153409 0.0376880i
\(423\) −26.6649 0.149308i −1.29649 0.00725958i
\(424\) −20.8781 8.20157i −1.01393 0.398304i
\(425\) 4.92631 3.80272i 0.238961 0.184459i
\(426\) 7.13385 7.18152i 0.345636 0.347946i
\(427\) 2.99236 2.99236i 0.144811 0.144811i
\(428\) 0.202724 + 16.5359i 0.00979903 + 0.799295i
\(429\) −13.3421 32.4676i −0.644164 1.56755i
\(430\) 3.46103 1.20416i 0.166906 0.0580698i
\(431\) 27.8760i 1.34274i 0.741122 + 0.671370i \(0.234294\pi\)
−0.741122 + 0.671370i \(0.765706\pi\)
\(432\) 19.0718 8.26240i 0.917591 0.397525i
\(433\) −2.78003 + 2.78003i −0.133600 + 0.133600i −0.770744 0.637145i \(-0.780115\pi\)
0.637145 + 0.770744i \(0.280115\pi\)
\(434\) −1.50306 3.56672i −0.0721492 0.171208i
\(435\) 4.75985 + 2.35534i 0.228218 + 0.112930i
\(436\) −16.7526 16.3468i −0.802305 0.782872i
\(437\) −13.0777 13.0777i −0.625592 0.625592i
\(438\) 16.2750 0.0541928i 0.777648 0.00258943i
\(439\) 10.8174i 0.516286i −0.966107 0.258143i \(-0.916889\pi\)
0.966107 0.258143i \(-0.0831105\pi\)
\(440\) 21.9226 7.92990i 1.04512 0.378043i
\(441\) 13.4832 13.3331i 0.642058 0.634907i
\(442\) 8.96358 + 3.64863i 0.426354 + 0.173548i
\(443\) −5.74963 + 5.74963i −0.273173 + 0.273173i −0.830376 0.557203i \(-0.811874\pi\)
0.557203 + 0.830376i \(0.311874\pi\)
\(444\) −11.0931 4.47244i −0.526454 0.212253i
\(445\) −2.19637 + 34.2671i −0.104118 + 1.62442i
\(446\) −31.0693 + 13.0930i −1.47118 + 0.619973i
\(447\) 9.34590 22.3855i 0.442046 1.05880i
\(448\) −6.58885 + 0.242427i −0.311294 + 0.0114536i
\(449\) −6.91183 −0.326189 −0.163095 0.986610i \(-0.552148\pi\)
−0.163095 + 0.986610i \(0.552148\pi\)
\(450\) 5.56030 + 20.4715i 0.262115 + 0.965037i
\(451\) 2.38895i 0.112491i
\(452\) −0.297608 24.2755i −0.0139983 1.14182i
\(453\) −20.9864 8.76176i −0.986026 0.411663i
\(454\) 5.61841 + 13.3323i 0.263685 + 0.625716i
\(455\) −10.1115 0.648104i −0.474036 0.0303836i
\(456\) −0.483335 31.0028i −0.0226342 1.45184i
\(457\) −5.15748 5.15748i −0.241257 0.241257i 0.576113 0.817370i \(-0.304569\pi\)
−0.817370 + 0.576113i \(0.804569\pi\)
\(458\) −30.1373 12.2674i −1.40823 0.573219i
\(459\) 5.95412 + 2.52507i 0.277915 + 0.117860i
\(460\) −13.0507 0.675961i −0.608490 0.0315169i
\(461\) −18.4555 −0.859558 −0.429779 0.902934i \(-0.641408\pi\)
−0.429779 + 0.902934i \(0.641408\pi\)
\(462\) 0.0247783 + 7.44132i 0.00115279 + 0.346202i
\(463\) −19.6899 + 19.6899i −0.915068 + 0.915068i −0.996665 0.0815977i \(-0.973998\pi\)
0.0815977 + 0.996665i \(0.473998\pi\)
\(464\) −5.48325 + 0.134465i −0.254553 + 0.00624238i
\(465\) 5.70403 11.5271i 0.264518 0.534559i
\(466\) −3.45685 8.20301i −0.160136 0.379997i
\(467\) −2.07946 2.07946i −0.0962257 0.0962257i 0.657355 0.753581i \(-0.271675\pi\)
−0.753581 + 0.657355i \(0.771675\pi\)
\(468\) −23.1704 + 23.4811i −1.07105 + 1.08541i
\(469\) 5.71858 0.264060
\(470\) 9.23619 + 26.5469i 0.426034 + 1.22452i
\(471\) −14.4307 + 5.93013i −0.664933 + 0.273246i
\(472\) −15.8685 + 6.91747i −0.730407 + 0.318402i
\(473\) 3.02041 + 3.02041i 0.138879 + 0.138879i
\(474\) −1.90026 + 1.91296i −0.0872818 + 0.0878650i
\(475\) 31.3870 + 4.04012i 1.44013 + 0.185374i
\(476\) −1.46838 1.43281i −0.0673029 0.0656727i
\(477\) 23.7916 + 0.133219i 1.08934 + 0.00609967i
\(478\) 5.28490 + 2.15122i 0.241725 + 0.0983945i
\(479\) −19.7088 −0.900517 −0.450259 0.892898i \(-0.648668\pi\)
−0.450259 + 0.892898i \(0.648668\pi\)
\(480\) −14.9217 16.0419i −0.681081 0.732208i
\(481\) 18.9835 0.865573
\(482\) 15.0125 + 6.11083i 0.683799 + 0.278341i
\(483\) 1.60708 3.84931i 0.0731246 0.175150i
\(484\) 3.70326 + 3.61356i 0.168330 + 0.164253i
\(485\) 12.8735 11.3227i 0.584557 0.514136i
\(486\) −15.7106 + 15.4653i −0.712649 + 0.701521i
\(487\) 4.21395 + 4.21395i 0.190952 + 0.190952i 0.796107 0.605155i \(-0.206889\pi\)
−0.605155 + 0.796107i \(0.706889\pi\)
\(488\) −13.3132 + 5.80354i −0.602659 + 0.262714i
\(489\) −3.22151 7.83943i −0.145682 0.354511i
\(490\) −17.9931 8.70447i −0.812845 0.393228i
\(491\) 27.7215 1.25105 0.625527 0.780203i \(-0.284884\pi\)
0.625527 + 0.780203i \(0.284884\pi\)
\(492\) −2.06598 + 0.878743i −0.0931416 + 0.0396168i
\(493\) −1.20682 1.20682i −0.0543525 0.0543525i
\(494\) 19.1110 + 45.3497i 0.859843 + 2.04038i
\(495\) −18.6583 + 16.2261i −0.838627 + 0.729311i
\(496\) 0.325640 + 13.2790i 0.0146216 + 0.596246i
\(497\) 2.40831 2.40831i 0.108028 0.108028i
\(498\) −21.7350 + 0.0723737i −0.973968 + 0.00324314i
\(499\) −5.14705 −0.230414 −0.115207 0.993342i \(-0.536753\pi\)
−0.115207 + 0.993342i \(0.536753\pi\)
\(500\) 18.3836 12.7296i 0.822142 0.569283i
\(501\) 2.16177 0.888353i 0.0965809 0.0396887i
\(502\) −22.8968 9.32016i −1.02193 0.415979i
\(503\) −12.2281 12.2281i −0.545224 0.545224i 0.379832 0.925056i \(-0.375982\pi\)
−0.925056 + 0.379832i \(0.875982\pi\)
\(504\) 6.42618 2.75861i 0.286245 0.122878i
\(505\) 1.40803 21.9677i 0.0626565 0.977550i
\(506\) −5.91546 14.0372i −0.262974 0.624030i
\(507\) 11.4967 27.5372i 0.510587 1.22297i
\(508\) −0.000507817 0.0414220i −2.25307e−5 0.00183780i
\(509\) 35.8361i 1.58841i −0.607651 0.794204i \(-0.707888\pi\)
0.607651 0.794204i \(-0.292112\pi\)
\(510\) 0.413405 6.80471i 0.0183059 0.301318i
\(511\) 5.47596 0.242242
\(512\) 21.3506 + 7.49332i 0.943574 + 0.331161i
\(513\) 12.3298 + 30.4886i 0.544375 + 1.34611i
\(514\) 12.4825 5.26031i 0.550581 0.232022i
\(515\) −17.2945 19.6633i −0.762086 0.866469i
\(516\) 1.50105 3.72308i 0.0660800 0.163899i
\(517\) −23.1672 + 23.1672i −1.01889 + 1.01889i
\(518\) −3.72738 1.51723i −0.163772 0.0666634i
\(519\) 4.08361 1.67811i 0.179251 0.0736608i
\(520\) 31.4856 + 14.7582i 1.38073 + 0.647188i
\(521\) 18.1715i 0.796107i 0.917362 + 0.398054i \(0.130314\pi\)
−0.917362 + 0.398054i \(0.869686\pi\)
\(522\) 5.37359 2.22915i 0.235196 0.0975674i
\(523\) 21.7444 + 21.7444i 0.950815 + 0.950815i 0.998846 0.0480305i \(-0.0152945\pi\)
−0.0480305 + 0.998846i \(0.515294\pi\)
\(524\) −7.50061 7.31893i −0.327666 0.319729i
\(525\) 1.84789 + 6.89411i 0.0806487 + 0.300884i
\(526\) 11.9382 + 28.3289i 0.520529 + 1.23520i
\(527\) −2.92261 + 2.92261i −0.127311 + 0.127311i
\(528\) 9.25822 23.8005i 0.402912 1.03579i
\(529\) 14.4612i 0.628746i
\(530\) −8.24093 23.6863i −0.357963 1.02887i
\(531\) 13.0555 12.9101i 0.566561 0.560252i
\(532\) −0.127889 10.4318i −0.00554471 0.452275i
\(533\) 2.51964 2.51964i 0.109138 0.109138i
\(534\) 26.6861 + 26.5089i 1.15482 + 1.14715i
\(535\) −13.8833 + 12.2108i −0.600227 + 0.527918i
\(536\) −18.2666 7.17567i −0.788996 0.309942i
\(537\) −16.0264 + 38.3867i −0.691589 + 1.65651i
\(538\) 5.11242 12.5597i 0.220412 0.541486i
\(539\) 23.2987i 1.00355i
\(540\) 20.8956 + 10.1672i 0.899205 + 0.437527i
\(541\) 26.6843i 1.14725i −0.819119 0.573623i \(-0.805537\pi\)
0.819119 0.573623i \(-0.194463\pi\)
\(542\) 27.3862 + 11.1476i 1.17634 + 0.478830i
\(543\) 14.4945 34.7176i 0.622019 1.48987i
\(544\) 2.89247 + 6.41927i 0.124014 + 0.275224i
\(545\) 1.67390 26.1158i 0.0717022 1.11868i
\(546\) −7.82226 + 7.87453i −0.334762 + 0.336999i
\(547\) −22.2551 + 22.2551i −0.951559 + 0.951559i −0.998880 0.0473207i \(-0.984932\pi\)
0.0473207 + 0.998880i \(0.484932\pi\)
\(548\) 39.8732 0.488829i 1.70330 0.0208817i
\(549\) 10.9532 10.8312i 0.467470 0.462264i
\(550\) 22.6890 + 12.8282i 0.967462 + 0.546998i
\(551\) 8.67873i 0.369726i
\(552\) −9.96353 + 10.2791i −0.424076 + 0.437508i
\(553\) −0.641507 + 0.641507i −0.0272797 + 0.0272797i
\(554\) 16.3355 6.88398i 0.694027 0.292472i
\(555\) −4.28125 12.6687i −0.181729 0.537754i
\(556\) 13.2003 + 12.8805i 0.559817 + 0.546257i
\(557\) 7.30615 + 7.30615i 0.309572 + 0.309572i 0.844743 0.535172i \(-0.179753\pi\)
−0.535172 + 0.844743i \(0.679753\pi\)
\(558\) −5.39844 13.0135i −0.228534 0.550904i
\(559\) 6.37128i 0.269476i
\(560\) −5.00262 5.41419i −0.211399 0.228791i
\(561\) 7.35005 3.02041i 0.310319 0.127522i
\(562\) −6.50074 + 15.9704i −0.274217 + 0.673669i
\(563\) −21.3458 + 21.3458i −0.899616 + 0.899616i −0.995402 0.0957856i \(-0.969464\pi\)
0.0957856 + 0.995402i \(0.469464\pi\)
\(564\) 28.5569 + 11.5134i 1.20246 + 0.484801i
\(565\) 20.3813 17.9260i 0.857447 0.754150i
\(566\) 9.07152 + 21.5264i 0.381304 + 0.904823i
\(567\) −5.30335 + 5.18588i −0.222720 + 0.217787i
\(568\) −10.7147 + 4.67081i −0.449579 + 0.195983i
\(569\) −35.6410 −1.49415 −0.747075 0.664740i \(-0.768542\pi\)
−0.747075 + 0.664740i \(0.768542\pi\)
\(570\) 25.9542 22.9812i 1.08710 0.962578i
\(571\) 9.49296i 0.397268i −0.980074 0.198634i \(-0.936350\pi\)
0.980074 0.198634i \(-0.0636505\pi\)
\(572\) 0.496873 + 40.5293i 0.0207753 + 1.69462i
\(573\) −8.66419 + 20.7527i −0.361952 + 0.866955i
\(574\) −0.696108 + 0.293349i −0.0290550 + 0.0122441i
\(575\) −8.92779 11.5657i −0.372314 0.482323i
\(576\) −23.9883 + 0.748140i −0.999514 + 0.0311725i
\(577\) 10.6312 + 10.6312i 0.442582 + 0.442582i 0.892879 0.450297i \(-0.148682\pi\)
−0.450297 + 0.892879i \(0.648682\pi\)
\(578\) 8.23803 20.2384i 0.342657 0.841805i
\(579\) −21.4926 + 8.83212i −0.893203 + 0.367050i
\(580\) −4.10609 4.55468i −0.170496 0.189123i
\(581\) −7.31307 −0.303397
\(582\) −0.0625363 18.7807i −0.00259221 0.778483i
\(583\) 20.6708 20.6708i 0.856097 0.856097i
\(584\) −17.4916 6.87124i −0.723808 0.284334i
\(585\) −36.7927 2.56519i −1.52119 0.106057i
\(586\) −9.51801 + 4.01102i −0.393186 + 0.165694i
\(587\) 17.1910 + 17.1910i 0.709550 + 0.709550i 0.966441 0.256891i \(-0.0826980\pi\)
−0.256891 + 0.966441i \(0.582698\pi\)
\(588\) −20.1489 + 8.57011i −0.830925 + 0.353425i
\(589\) −21.0177 −0.866018
\(590\) −17.4224 8.42837i −0.717267 0.346990i
\(591\) 11.9737 + 29.1376i 0.492534 + 1.19856i
\(592\) 10.0024 + 9.52355i 0.411095 + 0.391415i
\(593\) 9.69544 + 9.69544i 0.398144 + 0.398144i 0.877578 0.479434i \(-0.159158\pi\)
−0.479434 + 0.877578i \(0.659158\pi\)
\(594\) −0.0614747 + 27.0869i −0.00252234 + 1.11139i
\(595\) 0.146719 2.28906i 0.00601487 0.0938424i
\(596\) −19.5624 + 20.0480i −0.801307 + 0.821198i
\(597\) −0.0309379 + 0.0741033i −0.00126621 + 0.00303285i
\(598\) 8.56604 21.0442i 0.350291 0.860560i
\(599\) 26.8502 1.09707 0.548535 0.836128i \(-0.315186\pi\)
0.548535 + 0.836128i \(0.315186\pi\)
\(600\) 2.74809 24.3403i 0.112190 0.993687i
\(601\) −42.9566 −1.75224 −0.876119 0.482095i \(-0.839876\pi\)
−0.876119 + 0.482095i \(0.839876\pi\)
\(602\) 0.509217 1.25099i 0.0207541 0.0509866i
\(603\) 20.8156 + 0.116555i 0.847677 + 0.00474649i
\(604\) 18.7950 + 18.3397i 0.764756 + 0.746232i
\(605\) −0.370026 + 5.77305i −0.0150437 + 0.234708i
\(606\) −17.1077 16.9942i −0.694953 0.690341i
\(607\) 32.0417 + 32.0417i 1.30053 + 1.30053i 0.928033 + 0.372498i \(0.121499\pi\)
0.372498 + 0.928033i \(0.378501\pi\)
\(608\) −12.6813 + 33.4822i −0.514294 + 1.35788i
\(609\) 1.81051 0.744004i 0.0733654 0.0301486i
\(610\) −14.6168 7.07114i −0.591818 0.286302i
\(611\) −48.8691 −1.97703
\(612\) −5.31568 5.24534i −0.214874 0.212030i
\(613\) 20.1419 + 20.1419i 0.813522 + 0.813522i 0.985160 0.171638i \(-0.0549060\pi\)
−0.171638 + 0.985160i \(0.554906\pi\)
\(614\) −16.9527 + 7.14408i −0.684154 + 0.288311i
\(615\) −2.24973 1.11324i −0.0907177 0.0448903i
\(616\) 3.14170 7.99760i 0.126583 0.322232i
\(617\) −7.33463 + 7.33463i −0.295281 + 0.295281i −0.839162 0.543881i \(-0.816954\pi\)
0.543881 + 0.839162i \(0.316954\pi\)
\(618\) −28.6860 + 0.0955193i −1.15392 + 0.00384235i
\(619\) −11.9287 −0.479456 −0.239728 0.970840i \(-0.577058\pi\)
−0.239728 + 0.970840i \(0.577058\pi\)
\(620\) −11.0303 + 9.94391i −0.442986 + 0.399357i
\(621\) 5.92821 13.9787i 0.237891 0.560947i
\(622\) 16.2987 40.0410i 0.653519 1.60550i
\(623\) 8.94914 + 8.94914i 0.358540 + 0.358540i
\(624\) 34.8672 15.3378i 1.39581 0.614005i
\(625\) 24.1851 + 6.33109i 0.967403 + 0.253244i
\(626\) 30.3385 12.7850i 1.21257 0.510993i
\(627\) 37.2890 + 15.5681i 1.48918 + 0.621729i
\(628\) 18.0139 0.220843i 0.718834 0.00881260i
\(629\) 4.29751i 0.171353i
\(630\) 7.01919 + 3.44429i 0.279651 + 0.137224i
\(631\) 7.13985 0.284233 0.142116 0.989850i \(-0.454609\pi\)
0.142116 + 0.989850i \(0.454609\pi\)
\(632\) 2.85410 1.24417i 0.113530 0.0494905i
\(633\) 0.394421 0.944728i 0.0156768 0.0375496i
\(634\) −0.000478978 0.00113660i −1.90227e−5 4.51402e-5i
\(635\) 0.0347772 0.0305876i 0.00138009 0.00121383i
\(636\) −25.4797 10.2728i −1.01034 0.407341i
\(637\) 24.5733 24.5733i 0.973628 0.973628i
\(638\) 2.69490 6.62057i 0.106692 0.262111i
\(639\) 8.81533 8.71716i 0.348729 0.344846i
\(640\) 9.18590 + 23.5716i 0.363104 + 0.931748i
\(641\) 30.0187i 1.18567i −0.805325 0.592834i \(-0.798009\pi\)
0.805325 0.592834i \(-0.201991\pi\)
\(642\) 0.0674414 + 20.2537i 0.00266170 + 0.799351i
\(643\) −32.7048 32.7048i −1.28975 1.28975i −0.934938 0.354812i \(-0.884545\pi\)
−0.354812 0.934938i \(-0.615455\pi\)
\(644\) −3.36386 + 3.44736i −0.132555 + 0.135845i
\(645\) 4.25188 1.43688i 0.167418 0.0565772i
\(646\) −10.2663 + 4.32637i −0.403923 + 0.170219i
\(647\) 2.53026 2.53026i 0.0994747 0.0994747i −0.655618 0.755093i \(-0.727592\pi\)
0.755093 + 0.655618i \(0.227592\pi\)
\(648\) 23.4475 9.91037i 0.921104 0.389316i
\(649\) 22.5597i 0.885545i
\(650\) 10.4002 + 37.4602i 0.407929 + 1.46931i
\(651\) −1.80179 4.38458i −0.0706176 0.171845i
\(652\) 0.119972 + 9.78598i 0.00469847 + 0.383248i
\(653\) −23.8061 + 23.8061i −0.931604 + 0.931604i −0.997806 0.0662023i \(-0.978912\pi\)
0.0662023 + 0.997806i \(0.478912\pi\)
\(654\) −20.3381 20.2031i −0.795283 0.790004i
\(655\) 0.749453 11.6928i 0.0292835 0.456874i
\(656\) 2.59164 0.0635543i 0.101186 0.00248138i
\(657\) 19.9325 + 0.111610i 0.777640 + 0.00435432i
\(658\) 9.59539 + 3.90581i 0.374067 + 0.152264i
\(659\) 15.7130i 0.612093i −0.952017 0.306047i \(-0.900994\pi\)
0.952017 0.306047i \(-0.0990063\pi\)
\(660\) 26.9352 9.47197i 1.04845 0.368696i
\(661\) 25.2637i 0.982643i 0.870978 + 0.491322i \(0.163486\pi\)
−0.870978 + 0.491322i \(0.836514\pi\)
\(662\) 4.41798 10.8536i 0.171710 0.421839i
\(663\) 10.9378 + 4.56649i 0.424788 + 0.177348i
\(664\) 23.3598 + 9.17644i 0.906536 + 0.356115i
\(665\) 8.75834 7.70323i 0.339634 0.298718i
\(666\) −13.5367 5.59869i −0.524538 0.216945i
\(667\) −2.83330 + 2.83330i −0.109706 + 0.109706i
\(668\) −2.69854 + 0.0330830i −0.104410 + 0.00128002i
\(669\) −38.1937 + 15.6952i −1.47665 + 0.606812i
\(670\) −7.21011 20.7235i −0.278551 0.800617i
\(671\) 18.9269i 0.730664i
\(672\) −8.07199 + 0.224845i −0.311384 + 0.00867359i
\(673\) −15.4486 + 15.4486i −0.595498 + 0.595498i −0.939111 0.343613i \(-0.888349\pi\)
0.343613 + 0.939111i \(0.388349\pi\)
\(674\) −1.76824 4.19597i −0.0681099 0.161623i
\(675\) 6.58581 + 25.1322i 0.253488 + 0.967339i
\(676\) −24.0644 + 24.6618i −0.925554 + 0.948529i
\(677\) −3.86002 3.86002i −0.148353 0.148353i 0.629029 0.777382i \(-0.283453\pi\)
−0.777382 + 0.629029i \(0.783453\pi\)
\(678\) −0.0990069 29.7334i −0.00380234 1.14190i
\(679\) 6.31904i 0.242503i
\(680\) −3.34097 + 7.12774i −0.128120 + 0.273336i
\(681\) 6.73505 + 16.3895i 0.258088 + 0.628046i
\(682\) −16.0333 6.52637i −0.613947 0.249908i
\(683\) 20.9584 20.9584i 0.801949 0.801949i −0.181451 0.983400i \(-0.558079\pi\)
0.983400 + 0.181451i \(0.0580793\pi\)
\(684\) −0.252898 37.9743i −0.00966980 1.45198i
\(685\) 29.4439 + 33.4768i 1.12499 + 1.27908i
\(686\) −14.3074 + 6.02932i −0.546259 + 0.230201i
\(687\) −36.7749 15.3534i −1.40305 0.585770i
\(688\) −3.19631 + 3.35702i −0.121858 + 0.127985i
\(689\) 43.6032 1.66115
\(690\) −15.9757 0.970566i −0.608185 0.0369488i
\(691\) 26.8902i 1.02295i −0.859298 0.511475i \(-0.829099\pi\)
0.859298 0.511475i \(-0.170901\pi\)
\(692\) −5.09759 + 0.0624943i −0.193781 + 0.00237568i
\(693\) −0.0510309 + 9.11363i −0.00193850 + 0.346198i
\(694\) −14.4761 34.3513i −0.549504 1.30396i
\(695\) −1.31896 + 20.5780i −0.0500309 + 0.780569i
\(696\) −6.71678 + 0.104715i −0.254599 + 0.00396921i
\(697\) 0.570399 + 0.570399i 0.0216054 + 0.0216054i
\(698\) 23.2194 + 9.45148i 0.878869 + 0.357744i
\(699\) −4.14389 10.0840i −0.156736 0.381412i
\(700\) 0.951897 8.18648i 0.0359783 0.309420i
\(701\) 35.7956 1.35198 0.675990 0.736911i \(-0.263716\pi\)
0.675990 + 0.736911i \(0.263716\pi\)
\(702\) −28.6335 + 28.5038i −1.08070 + 1.07581i
\(703\) −15.4525 + 15.4525i −0.582804 + 0.582804i
\(704\) −20.0708 + 21.6041i −0.756445 + 0.814236i
\(705\) 11.0212 + 32.6128i 0.415083 + 1.22827i
\(706\) −8.21566 19.4955i −0.309200 0.733723i
\(707\) −5.73705 5.73705i −0.215764 0.215764i
\(708\) −19.5097 + 8.29826i −0.733221 + 0.311868i
\(709\) 31.6856 1.18998 0.594988 0.803735i \(-0.297157\pi\)
0.594988 + 0.803735i \(0.297157\pi\)
\(710\) −11.7639 5.69099i −0.441491 0.213579i
\(711\) −2.34816 + 2.32201i −0.0880628 + 0.0870821i
\(712\) −17.3564 39.8152i −0.650459 1.49214i
\(713\) 6.86153 + 6.86153i 0.256966 + 0.256966i
\(714\) −1.78265 1.77081i −0.0667138 0.0662710i
\(715\) −34.0277 + 29.9284i −1.27256 + 1.11926i
\(716\) 33.5456 34.3784i 1.25366 1.28478i
\(717\) 6.44887 + 2.69238i 0.240837 + 0.100549i
\(718\) −32.3883 13.1837i −1.20872 0.492010i
\(719\) 47.9558 1.78845 0.894225 0.447618i \(-0.147728\pi\)
0.894225 + 0.447618i \(0.147728\pi\)
\(720\) −18.0992 19.8096i −0.674516 0.738260i
\(721\) −9.65184 −0.359453
\(722\) −27.5837 11.2280i −1.02656 0.417861i
\(723\) 18.3189 + 7.64809i 0.681287 + 0.284435i
\(724\) −30.3392 + 31.0923i −1.12755 + 1.15554i
\(725\) 0.875297 6.80002i 0.0325077 0.252546i
\(726\) 4.49586 + 4.46601i 0.166857 + 0.165749i
\(727\) 20.8052 + 20.8052i 0.771622 + 0.771622i 0.978390 0.206768i \(-0.0662946\pi\)
−0.206768 + 0.978390i \(0.566295\pi\)
\(728\) 11.7487 5.12153i 0.435435 0.189817i
\(729\) −19.4099 + 18.7685i −0.718884 + 0.695130i
\(730\) −6.90421 19.8443i −0.255536 0.734469i
\(731\) −1.44234 −0.0533468
\(732\) −16.3681 + 6.96199i −0.604981 + 0.257322i
\(733\) −11.3990 11.3990i −0.421033 0.421033i 0.464526 0.885559i \(-0.346225\pi\)
−0.885559 + 0.464526i \(0.846225\pi\)
\(734\) −7.25237 17.2096i −0.267690 0.635219i
\(735\) −21.9409 10.8571i −0.809302 0.400470i
\(736\) 15.0708 6.79077i 0.555516 0.250311i
\(737\) 18.0852 18.0852i 0.666176 0.666176i
\(738\) −2.53981 + 1.05360i −0.0934916 + 0.0387836i
\(739\) −9.60683 −0.353393 −0.176697 0.984265i \(-0.556541\pi\)
−0.176697 + 0.984265i \(0.556541\pi\)
\(740\) −0.798711 + 15.4206i −0.0293612 + 0.566871i
\(741\) 22.9092 + 55.7487i 0.841591 + 2.04798i
\(742\) −8.56143 3.48493i −0.314300 0.127936i
\(743\) −2.71436 2.71436i −0.0995802 0.0995802i 0.655562 0.755142i \(-0.272432\pi\)
−0.755142 + 0.655562i \(0.772432\pi\)
\(744\) 0.253593 + 16.2663i 0.00929716 + 0.596352i
\(745\) −31.2530 2.00318i −1.14502 0.0733907i
\(746\) 9.24445 + 21.9368i 0.338463 + 0.803163i
\(747\) −26.6196 0.149054i −0.973958 0.00545359i
\(748\) −9.17508 + 0.112483i −0.335474 + 0.00411277i
\(749\) 6.81468i 0.249003i
\(750\) 22.6536 15.3888i 0.827192 0.561919i
\(751\) −18.9690 −0.692189 −0.346094 0.938200i \(-0.612492\pi\)
−0.346094 + 0.938200i \(0.612492\pi\)
\(752\) −25.7491 24.5164i −0.938972 0.894022i
\(753\) −27.9397 11.6648i −1.01818 0.425087i
\(754\) 9.82507 4.14041i 0.357808 0.150785i
\(755\) −1.87797 + 29.2996i −0.0683464 + 1.06632i
\(756\) 7.90028 3.30819i 0.287331 0.120318i
\(757\) −0.279592 + 0.279592i −0.0101620 + 0.0101620i −0.712170 0.702008i \(-0.752287\pi\)
0.702008 + 0.712170i \(0.252287\pi\)
\(758\) 3.58037 + 1.45739i 0.130045 + 0.0529349i
\(759\) −7.09113 17.2560i −0.257392 0.626353i
\(760\) −37.6423 + 13.6161i −1.36543 + 0.493907i
\(761\) 20.3237i 0.736733i −0.929681 0.368366i \(-0.879917\pi\)
0.929681 0.368366i \(-0.120083\pi\)
\(762\) −0.000168938 0.0507349i −6.11999e−6 0.00183793i
\(763\) −6.82036 6.82036i −0.246914 0.246914i
\(764\) 18.1355 18.5857i 0.656118 0.672406i
\(765\) 0.580710 8.32919i 0.0209956 0.301142i
\(766\) 13.6746 + 32.4494i 0.494083 + 1.17244i
\(767\) 23.7938 23.7938i 0.859144 0.859144i
\(768\) 26.0661 + 9.41052i 0.940580 + 0.339573i
\(769\) 25.1716i 0.907711i −0.891075 0.453855i \(-0.850048\pi\)
0.891075 0.453855i \(-0.149952\pi\)
\(770\) 9.07329 3.15678i 0.326979 0.113762i
\(771\) 15.3448 6.30577i 0.552631 0.227097i
\(772\) 26.8293 0.328916i 0.965607 0.0118379i
\(773\) −24.0474 + 24.0474i −0.864925 + 0.864925i