Properties

Label 475.2.bc.a.396.18
Level $475$
Weight $2$
Character 475.396
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 396.18
Character \(\chi\) \(=\) 475.396
Dual form 475.2.bc.a.6.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.764890 + 0.477956i) q^{2} +(-1.97717 - 0.566943i) q^{3} +(-0.520128 + 1.06642i) q^{4} +(0.973170 - 2.01319i) q^{5} +(1.78329 - 0.511350i) q^{6} +(-2.15040 - 3.72461i) q^{7} +(-0.300419 - 2.85829i) q^{8} +(1.04362 + 0.652125i) q^{9} +O(q^{10})\) \(q+(-0.764890 + 0.477956i) q^{2} +(-1.97717 - 0.566943i) q^{3} +(-0.520128 + 1.06642i) q^{4} +(0.973170 - 2.01319i) q^{5} +(1.78329 - 0.511350i) q^{6} +(-2.15040 - 3.72461i) q^{7} +(-0.300419 - 2.85829i) q^{8} +(1.04362 + 0.652125i) q^{9} +(0.217850 + 2.00500i) q^{10} +(3.98869 + 4.42989i) q^{11} +(1.63298 - 1.81361i) q^{12} +(-0.0991372 + 2.83892i) q^{13} +(3.42502 + 1.82112i) q^{14} +(-3.06548 + 3.42868i) q^{15} +(0.134960 + 0.172741i) q^{16} +(1.20931 + 0.0845630i) q^{17} -1.10994 q^{18} +(-4.35319 - 0.223086i) q^{19} +(1.64074 + 2.08493i) q^{20} +(2.14006 + 8.58333i) q^{21} +(-5.16820 - 1.48196i) q^{22} +(-7.63695 - 1.07330i) q^{23} +(-1.02651 + 5.82164i) q^{24} +(-3.10588 - 3.91835i) q^{25} +(-1.28105 - 2.21884i) q^{26} +(2.43521 + 2.70457i) q^{27} +(5.09049 - 0.355961i) q^{28} +(-3.53587 + 0.247252i) q^{29} +(0.705997 - 4.08773i) q^{30} +(-2.74225 - 1.22093i) q^{31} +(5.21563 + 1.89833i) q^{32} +(-5.37480 - 11.0200i) q^{33} +(-0.965404 + 0.513314i) q^{34} +(-9.59106 + 0.704500i) q^{35} +(-1.23825 + 0.773747i) q^{36} +(3.43449 + 10.5703i) q^{37} +(3.43633 - 1.91000i) q^{38} +(1.80552 - 5.55681i) q^{39} +(-6.04665 - 2.17680i) q^{40} +(0.198281 + 0.253789i) q^{41} +(-5.73937 - 5.54244i) q^{42} +(0.329176 - 1.86685i) q^{43} +(-6.79875 + 1.94951i) q^{44} +(2.32847 - 1.46637i) q^{45} +(6.35442 - 2.82917i) q^{46} +(-7.15568 + 0.500374i) q^{47} +(-0.168904 - 0.418052i) q^{48} +(-5.74848 + 9.95665i) q^{49} +(4.24846 + 1.51263i) q^{50} +(-2.34306 - 0.852803i) q^{51} +(-2.97592 - 1.58232i) q^{52} +(-3.98461 + 8.16965i) q^{53} +(-3.15533 - 0.904776i) q^{54} +(12.7999 - 3.71896i) q^{55} +(-10.0000 + 7.26543i) q^{56} +(8.48050 + 2.90909i) q^{57} +(2.58638 - 1.87911i) q^{58} +(-1.57816 + 3.90608i) q^{59} +(-2.06197 - 5.05245i) q^{60} +(7.39401 + 1.03916i) q^{61} +(2.68107 - 0.376800i) q^{62} +(0.184710 - 5.28940i) q^{63} +(-5.32555 + 1.13198i) q^{64} +(5.61881 + 2.96233i) q^{65} +(9.37820 + 5.86015i) q^{66} +(-1.91366 + 7.67528i) q^{67} +(-0.719174 + 1.24565i) q^{68} +(14.4910 + 6.45182i) q^{69} +(6.99938 - 5.12297i) q^{70} +(-4.66991 + 4.50968i) q^{71} +(1.55044 - 3.17888i) q^{72} +(-0.00939811 - 0.269127i) q^{73} +(-7.67914 - 6.44356i) q^{74} +(3.91936 + 9.50810i) q^{75} +(2.50212 - 4.52629i) q^{76} +(7.92230 - 24.3823i) q^{77} +(1.27489 + 5.11330i) q^{78} +(0.303289 + 0.0869667i) q^{79} +(0.479100 - 0.103594i) q^{80} +(-4.89986 - 10.0462i) q^{81} +(-0.272963 - 0.0993505i) q^{82} +(-2.92849 - 1.30385i) q^{83} +(-10.2665 - 2.18222i) q^{84} +(1.34710 - 2.35227i) q^{85} +(0.640488 + 1.58526i) q^{86} +(7.13119 + 1.51578i) q^{87} +(11.4636 - 12.7317i) q^{88} +(2.60728 - 3.33717i) q^{89} +(-1.08016 + 2.23452i) q^{90} +(10.7870 - 5.73557i) q^{91} +(5.11679 - 7.58595i) q^{92} +(4.72969 + 3.96868i) q^{93} +(5.23415 - 3.80283i) q^{94} +(-4.68550 + 8.54670i) q^{95} +(-9.23592 - 6.71029i) q^{96} +(0.0719086 + 0.288410i) q^{97} +(-0.361893 - 10.3633i) q^{98} +(1.27383 + 7.22423i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\) \(e\left(\frac{2}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.764890 + 0.477956i −0.540859 + 0.337966i −0.772683 0.634792i \(-0.781086\pi\)
0.231825 + 0.972758i \(0.425530\pi\)
\(3\) −1.97717 0.566943i −1.14152 0.327325i −0.348969 0.937134i \(-0.613468\pi\)
−0.792548 + 0.609809i \(0.791246\pi\)
\(4\) −0.520128 + 1.06642i −0.260064 + 0.533210i
\(5\) 0.973170 2.01319i 0.435215 0.900327i
\(6\) 1.78329 0.511350i 0.728024 0.208758i
\(7\) −2.15040 3.72461i −0.812776 1.40777i −0.910914 0.412597i \(-0.864622\pi\)
0.0981372 0.995173i \(-0.468712\pi\)
\(8\) −0.300419 2.85829i −0.106214 1.01056i
\(9\) 1.04362 + 0.652125i 0.347873 + 0.217375i
\(10\) 0.217850 + 2.00500i 0.0688902 + 0.634037i
\(11\) 3.98869 + 4.42989i 1.20263 + 1.33566i 0.927303 + 0.374311i \(0.122121\pi\)
0.275331 + 0.961349i \(0.411212\pi\)
\(12\) 1.63298 1.81361i 0.471401 0.523543i
\(13\) −0.0991372 + 2.83892i −0.0274957 + 0.787374i 0.904834 + 0.425765i \(0.139995\pi\)
−0.932330 + 0.361609i \(0.882227\pi\)
\(14\) 3.42502 + 1.82112i 0.915376 + 0.486714i
\(15\) −3.06548 + 3.42868i −0.791504 + 0.885282i
\(16\) 0.134960 + 0.172741i 0.0337400 + 0.0431853i
\(17\) 1.20931 + 0.0845630i 0.293300 + 0.0205095i 0.215649 0.976471i \(-0.430813\pi\)
0.0776514 + 0.996981i \(0.475258\pi\)
\(18\) −1.10994 −0.261615
\(19\) −4.35319 0.223086i −0.998689 0.0511795i
\(20\) 1.64074 + 2.08493i 0.366880 + 0.466203i
\(21\) 2.14006 + 8.58333i 0.467000 + 1.87304i
\(22\) −5.16820 1.48196i −1.10186 0.315954i
\(23\) −7.63695 1.07330i −1.59242 0.223799i −0.713457 0.700699i \(-0.752872\pi\)
−0.878958 + 0.476899i \(0.841761\pi\)
\(24\) −1.02651 + 5.82164i −0.209536 + 1.18834i
\(25\) −3.10588 3.91835i −0.621176 0.783671i
\(26\) −1.28105 2.21884i −0.251234 0.435151i
\(27\) 2.43521 + 2.70457i 0.468656 + 0.520495i
\(28\) 5.09049 0.355961i 0.962011 0.0672704i
\(29\) −3.53587 + 0.247252i −0.656595 + 0.0459136i −0.394168 0.919038i \(-0.628967\pi\)
−0.262427 + 0.964952i \(0.584523\pi\)
\(30\) 0.705997 4.08773i 0.128897 0.746314i
\(31\) −2.74225 1.22093i −0.492523 0.219285i 0.145418 0.989370i \(-0.453547\pi\)
−0.637942 + 0.770085i \(0.720214\pi\)
\(32\) 5.21563 + 1.89833i 0.922002 + 0.335581i
\(33\) −5.37480 11.0200i −0.935633 1.91833i
\(34\) −0.965404 + 0.513314i −0.165565 + 0.0880327i
\(35\) −9.59106 + 0.704500i −1.62119 + 0.119082i
\(36\) −1.23825 + 0.773747i −0.206376 + 0.128958i
\(37\) 3.43449 + 10.5703i 0.564627 + 1.73774i 0.669056 + 0.743212i \(0.266698\pi\)
−0.104429 + 0.994532i \(0.533302\pi\)
\(38\) 3.43633 1.91000i 0.557447 0.309842i
\(39\) 1.80552 5.55681i 0.289114 0.889801i
\(40\) −6.04665 2.17680i −0.956060 0.344183i
\(41\) 0.198281 + 0.253789i 0.0309663 + 0.0396351i 0.803245 0.595649i \(-0.203105\pi\)
−0.772278 + 0.635284i \(0.780883\pi\)
\(42\) −5.73937 5.54244i −0.885604 0.855218i
\(43\) 0.329176 1.86685i 0.0501988 0.284692i −0.949367 0.314170i \(-0.898274\pi\)
0.999565 + 0.0294789i \(0.00938477\pi\)
\(44\) −6.79875 + 1.94951i −1.02495 + 0.293900i
\(45\) 2.32847 1.46637i 0.347108 0.218594i
\(46\) 6.35442 2.82917i 0.936908 0.417138i
\(47\) −7.15568 + 0.500374i −1.04376 + 0.0729870i −0.581331 0.813667i \(-0.697468\pi\)
−0.462432 + 0.886655i \(0.653023\pi\)
\(48\) −0.168904 0.418052i −0.0243792 0.0603407i
\(49\) −5.74848 + 9.95665i −0.821211 + 1.42238i
\(50\) 4.24846 + 1.51263i 0.600823 + 0.213919i
\(51\) −2.34306 0.852803i −0.328094 0.119416i
\(52\) −2.97592 1.58232i −0.412685 0.219429i
\(53\) −3.98461 + 8.16965i −0.547328 + 1.12219i 0.428479 + 0.903552i \(0.359050\pi\)
−0.975806 + 0.218636i \(0.929839\pi\)
\(54\) −3.15533 0.904776i −0.429386 0.123124i
\(55\) 12.7999 3.71896i 1.72594 0.501465i
\(56\) −10.0000 + 7.26543i −1.33631 + 0.970884i
\(57\) 8.48050 + 2.90909i 1.12327 + 0.385318i
\(58\) 2.58638 1.87911i 0.339608 0.246740i
\(59\) −1.57816 + 3.90608i −0.205459 + 0.508528i −0.994368 0.105982i \(-0.966202\pi\)
0.788910 + 0.614509i \(0.210646\pi\)
\(60\) −2.06197 5.05245i −0.266200 0.652268i
\(61\) 7.39401 + 1.03916i 0.946706 + 0.133051i 0.595597 0.803284i \(-0.296916\pi\)
0.351109 + 0.936335i \(0.385805\pi\)
\(62\) 2.68107 0.376800i 0.340497 0.0478537i
\(63\) 0.184710 5.28940i 0.0232713 0.666402i
\(64\) −5.32555 + 1.13198i −0.665693 + 0.141498i
\(65\) 5.61881 + 2.96233i 0.696927 + 0.367432i
\(66\) 9.37820 + 5.86015i 1.15438 + 0.721335i
\(67\) −1.91366 + 7.67528i −0.233791 + 0.937684i 0.732611 + 0.680648i \(0.238302\pi\)
−0.966402 + 0.257036i \(0.917254\pi\)
\(68\) −0.719174 + 1.24565i −0.0872127 + 0.151057i
\(69\) 14.4910 + 6.45182i 1.74451 + 0.776708i
\(70\) 6.99938 5.12297i 0.836587 0.612312i
\(71\) −4.66991 + 4.50968i −0.554217 + 0.535201i −0.918155 0.396222i \(-0.870321\pi\)
0.363938 + 0.931423i \(0.381432\pi\)
\(72\) 1.55044 3.17888i 0.182721 0.374634i
\(73\) −0.00939811 0.269127i −0.00109997 0.0314989i 0.998717 0.0506446i \(-0.0161276\pi\)
−0.999817 + 0.0191457i \(0.993905\pi\)
\(74\) −7.67914 6.44356i −0.892682 0.749049i
\(75\) 3.91936 + 9.50810i 0.452569 + 1.09790i
\(76\) 2.50212 4.52629i 0.287013 0.519201i
\(77\) 7.92230 24.3823i 0.902830 2.77863i
\(78\) 1.27489 + 5.11330i 0.144353 + 0.578967i
\(79\) 0.303289 + 0.0869667i 0.0341227 + 0.00978451i 0.292655 0.956218i \(-0.405461\pi\)
−0.258533 + 0.966003i \(0.583239\pi\)
\(80\) 0.479100 0.103594i 0.0535650 0.0115822i
\(81\) −4.89986 10.0462i −0.544429 1.11625i
\(82\) −0.272963 0.0993505i −0.0301437 0.0109714i
\(83\) −2.92849 1.30385i −0.321444 0.143116i 0.239671 0.970854i \(-0.422961\pi\)
−0.561114 + 0.827738i \(0.689627\pi\)
\(84\) −10.2665 2.18222i −1.12017 0.238100i
\(85\) 1.34710 2.35227i 0.146114 0.255140i
\(86\) 0.640488 + 1.58526i 0.0690656 + 0.170943i
\(87\) 7.13119 + 1.51578i 0.764544 + 0.162509i
\(88\) 11.4636 12.7317i 1.22203 1.35720i
\(89\) 2.60728 3.33717i 0.276371 0.353739i −0.629719 0.776823i \(-0.716830\pi\)
0.906091 + 0.423084i \(0.139052\pi\)
\(90\) −1.08016 + 2.23452i −0.113859 + 0.235539i
\(91\) 10.7870 5.73557i 1.13079 0.601251i
\(92\) 5.11679 7.58595i 0.533462 0.790890i
\(93\) 4.72969 + 3.96868i 0.490446 + 0.411533i
\(94\) 5.23415 3.80283i 0.539861 0.392232i
\(95\) −4.68550 + 8.54670i −0.480723 + 0.876873i
\(96\) −9.23592 6.71029i −0.942638 0.684866i
\(97\) 0.0719086 + 0.288410i 0.00730121 + 0.0292836i 0.973836 0.227253i \(-0.0729743\pi\)
−0.966535 + 0.256536i \(0.917419\pi\)
\(98\) −0.361893 10.3633i −0.0365567 1.04685i
\(99\) 1.27383 + 7.22423i 0.128024 + 0.726062i
\(100\) 5.79407 1.27413i 0.579407 0.127413i
\(101\) 4.79662 + 1.74583i 0.477282 + 0.173716i 0.569448 0.822027i \(-0.307157\pi\)
−0.0921664 + 0.995744i \(0.529379\pi\)
\(102\) 2.19978 0.467579i 0.217811 0.0462972i
\(103\) 6.17053 2.74730i 0.608000 0.270699i −0.0795560 0.996830i \(-0.525350\pi\)
0.687556 + 0.726131i \(0.258684\pi\)
\(104\) 8.14424 0.569501i 0.798609 0.0558442i
\(105\) 19.3625 + 4.04467i 1.88959 + 0.394720i
\(106\) −0.856952 8.15335i −0.0832345 0.791924i
\(107\) −4.25452 7.36904i −0.411300 0.712392i 0.583733 0.811946i \(-0.301592\pi\)
−0.995032 + 0.0995542i \(0.968258\pi\)
\(108\) −4.15083 + 1.19023i −0.399414 + 0.114530i
\(109\) 1.76317 0.247798i 0.168881 0.0237347i −0.0542255 0.998529i \(-0.517269\pi\)
0.223107 + 0.974794i \(0.428380\pi\)
\(110\) −8.01300 + 8.96238i −0.764009 + 0.854529i
\(111\) −0.797813 22.8464i −0.0757250 2.16848i
\(112\) 0.353174 0.874137i 0.0333718 0.0825981i
\(113\) −3.93450 12.1091i −0.370127 1.13913i −0.946708 0.322093i \(-0.895614\pi\)
0.576581 0.817040i \(-0.304386\pi\)
\(114\) −7.87706 + 1.82817i −0.737754 + 0.171224i
\(115\) −9.59282 + 14.3301i −0.894535 + 1.33629i
\(116\) 1.57543 3.89933i 0.146275 0.362044i
\(117\) −1.95479 + 2.89809i −0.180720 + 0.267929i
\(118\) −0.659817 3.74201i −0.0607411 0.344480i
\(119\) −2.28553 4.68604i −0.209515 0.429569i
\(120\) 10.7211 + 7.73201i 0.978699 + 0.705833i
\(121\) −2.56445 + 24.3991i −0.233132 + 2.21810i
\(122\) −6.15227 + 2.73917i −0.557001 + 0.247993i
\(123\) −0.248151 0.614196i −0.0223751 0.0553802i
\(124\) 2.72835 2.28936i 0.245013 0.205590i
\(125\) −10.9109 + 2.43951i −0.975905 + 0.218197i
\(126\) 2.38682 + 4.13409i 0.212635 + 0.368294i
\(127\) −3.66391 + 4.68959i −0.325120 + 0.416134i −0.922605 0.385745i \(-0.873944\pi\)
0.597486 + 0.801880i \(0.296167\pi\)
\(128\) −4.45277 + 4.29999i −0.393573 + 0.380069i
\(129\) −1.70923 + 3.50444i −0.150489 + 0.308549i
\(130\) −5.71363 + 0.419688i −0.501119 + 0.0368091i
\(131\) −3.08943 0.216034i −0.269925 0.0188750i −0.0658472 0.997830i \(-0.520975\pi\)
−0.204077 + 0.978955i \(0.565419\pi\)
\(132\) 14.5475 1.26620
\(133\) 8.53020 + 16.6936i 0.739662 + 1.44752i
\(134\) −2.20471 6.78539i −0.190458 0.586168i
\(135\) 7.81469 2.27053i 0.672581 0.195416i
\(136\) −0.121593 3.48196i −0.0104265 0.298575i
\(137\) −5.43032 + 2.88735i −0.463944 + 0.246683i −0.684951 0.728589i \(-0.740177\pi\)
0.221007 + 0.975272i \(0.429065\pi\)
\(138\) −14.1677 + 1.99114i −1.20604 + 0.169497i
\(139\) −2.08519 + 2.66892i −0.176863 + 0.226375i −0.868271 0.496090i \(-0.834769\pi\)
0.691408 + 0.722465i \(0.256991\pi\)
\(140\) 4.23729 10.5945i 0.358116 0.895401i
\(141\) 14.4317 + 3.06754i 1.21536 + 0.258334i
\(142\) 1.41654 5.68143i 0.118873 0.476775i
\(143\) −12.9715 + 10.8844i −1.08473 + 0.910198i
\(144\) 0.0281980 + 0.268286i 0.00234984 + 0.0223572i
\(145\) −2.94324 + 7.35901i −0.244423 + 0.611133i
\(146\) 0.135819 + 0.201360i 0.0112405 + 0.0166647i
\(147\) 17.0106 16.4269i 1.40301 1.35487i
\(148\) −13.0587 1.83529i −1.07342 0.150860i
\(149\) 5.29616 1.92764i 0.433878 0.157919i −0.115842 0.993268i \(-0.536957\pi\)
0.549720 + 0.835349i \(0.314734\pi\)
\(150\) −7.54233 5.39936i −0.615829 0.440856i
\(151\) 2.05245 0.167026 0.0835130 0.996507i \(-0.473386\pi\)
0.0835130 + 0.996507i \(0.473386\pi\)
\(152\) 0.670132 + 12.5097i 0.0543549 + 1.01467i
\(153\) 1.20691 + 0.876870i 0.0975728 + 0.0708908i
\(154\) 5.59400 + 22.4363i 0.450778 + 1.80797i
\(155\) −5.12664 + 4.33251i −0.411782 + 0.347996i
\(156\) 4.98679 + 4.81569i 0.399263 + 0.385564i
\(157\) 4.18306 23.7233i 0.333844 1.89332i −0.104512 0.994524i \(-0.533328\pi\)
0.438357 0.898801i \(-0.355561\pi\)
\(158\) −0.273549 + 0.0784389i −0.0217624 + 0.00624026i
\(159\) 12.5100 13.8937i 0.992104 1.10184i
\(160\) 8.89741 8.65267i 0.703402 0.684053i
\(161\) 12.4249 + 30.7527i 0.979219 + 2.42365i
\(162\) 8.54950 + 5.34232i 0.671712 + 0.419732i
\(163\) −20.5151 4.36062i −1.60687 0.341550i −0.684846 0.728688i \(-0.740130\pi\)
−0.922022 + 0.387138i \(0.873464\pi\)
\(164\) −0.373777 + 0.0794487i −0.0291871 + 0.00620390i
\(165\) −27.4159 + 0.0962012i −2.13433 + 0.00748925i
\(166\) 2.86315 0.402390i 0.222224 0.0312315i
\(167\) −10.3531 9.99783i −0.801144 0.773655i 0.176416 0.984316i \(-0.443550\pi\)
−0.977559 + 0.210660i \(0.932439\pi\)
\(168\) 23.8908 8.69553i 1.84321 0.670874i
\(169\) 4.91871 + 0.343950i 0.378362 + 0.0264577i
\(170\) 0.0938986 + 2.44308i 0.00720169 + 0.187376i
\(171\) −4.39758 3.07164i −0.336292 0.234894i
\(172\) 1.81963 + 1.32204i 0.138746 + 0.100805i
\(173\) −13.7621 + 8.59953i −1.04631 + 0.653810i −0.940228 0.340547i \(-0.889388\pi\)
−0.106087 + 0.994357i \(0.533832\pi\)
\(174\) −6.17905 + 2.24899i −0.468433 + 0.170496i
\(175\) −7.91544 + 19.9942i −0.598351 + 1.51142i
\(176\) −0.226909 + 1.28687i −0.0171039 + 0.0970013i
\(177\) 5.33480 6.82824i 0.400988 0.513242i
\(178\) −0.399263 + 3.79873i −0.0299260 + 0.284727i
\(179\) −11.5427 + 5.13912i −0.862739 + 0.384116i −0.789906 0.613228i \(-0.789871\pi\)
−0.0728329 + 0.997344i \(0.523204\pi\)
\(180\) 0.352670 + 3.24583i 0.0262865 + 0.241930i
\(181\) 3.11869 12.5084i 0.231810 0.929741i −0.735781 0.677220i \(-0.763185\pi\)
0.967591 0.252521i \(-0.0812598\pi\)
\(182\) −5.50955 + 9.54282i −0.408395 + 0.707361i
\(183\) −14.0300 6.24658i −1.03713 0.461760i
\(184\) −0.773534 + 22.1511i −0.0570256 + 1.63300i
\(185\) 24.6224 + 3.37238i 1.81027 + 0.247943i
\(186\) −5.51455 0.775020i −0.404347 0.0568272i
\(187\) 4.44894 + 5.69439i 0.325339 + 0.416415i
\(188\) 3.18826 7.89122i 0.232528 0.575526i
\(189\) 4.83679 14.8861i 0.351825 1.08281i
\(190\) −0.501053 8.77675i −0.0363502 0.636732i
\(191\) −6.76284 20.8139i −0.489342 1.50604i −0.825592 0.564267i \(-0.809159\pi\)
0.336250 0.941773i \(-0.390841\pi\)
\(192\) 11.1713 + 0.781171i 0.806216 + 0.0563761i
\(193\) 0.862593 0.313958i 0.0620908 0.0225992i −0.310788 0.950479i \(-0.600593\pi\)
0.372879 + 0.927880i \(0.378371\pi\)
\(194\) −0.192849 0.186232i −0.0138458 0.0133707i
\(195\) −9.42984 9.04256i −0.675285 0.647551i
\(196\) −7.62804 11.3090i −0.544860 0.807788i
\(197\) 0.385412 3.66695i 0.0274595 0.261260i −0.972176 0.234253i \(-0.924736\pi\)
0.999635 0.0270070i \(-0.00859764\pi\)
\(198\) −4.42720 4.91691i −0.314628 0.349429i
\(199\) 4.26519 3.57892i 0.302351 0.253703i −0.478971 0.877831i \(-0.658990\pi\)
0.781322 + 0.624128i \(0.214546\pi\)
\(200\) −10.2667 + 10.0547i −0.725968 + 0.710973i
\(201\) 8.13507 14.0904i 0.573804 0.993857i
\(202\) −4.50332 + 0.957209i −0.316852 + 0.0673490i
\(203\) 8.52448 + 12.6381i 0.598301 + 0.887018i
\(204\) 2.12814 2.05512i 0.148999 0.143887i
\(205\) 0.703886 0.152199i 0.0491616 0.0106300i
\(206\) −3.40669 + 5.05062i −0.237355 + 0.351893i
\(207\) −7.27013 6.10037i −0.505309 0.424005i
\(208\) −0.503777 + 0.366015i −0.0349307 + 0.0253786i
\(209\) −16.3753 20.1739i −1.13270 1.39546i
\(210\) −16.7434 + 6.16071i −1.15540 + 0.425130i
\(211\) 3.62191 2.26322i 0.249342 0.155806i −0.399491 0.916737i \(-0.630813\pi\)
0.648833 + 0.760931i \(0.275257\pi\)
\(212\) −6.63978 8.49853i −0.456022 0.583681i
\(213\) 11.7899 6.26882i 0.807833 0.429532i
\(214\) 6.77631 + 3.60303i 0.463219 + 0.246298i
\(215\) −3.43798 2.47945i −0.234468 0.169097i
\(216\) 6.99887 7.77304i 0.476213 0.528888i
\(217\) 1.34947 + 12.8393i 0.0916078 + 0.871590i
\(218\) −1.23020 + 1.03226i −0.0833194 + 0.0699133i
\(219\) −0.133998 + 0.537436i −0.00905474 + 0.0363166i
\(220\) −2.69160 + 15.5844i −0.181467 + 1.05070i
\(221\) −0.359955 + 3.42474i −0.0242132 + 0.230373i
\(222\) 11.5298 + 17.0936i 0.773830 + 1.14725i
\(223\) 21.4696 + 11.4156i 1.43771 + 0.764443i 0.991453 0.130462i \(-0.0416461\pi\)
0.446256 + 0.894906i \(0.352757\pi\)
\(224\) −4.14516 23.5084i −0.276960 1.57072i
\(225\) −0.686098 6.11469i −0.0457399 0.407646i
\(226\) 8.79710 + 7.38165i 0.585175 + 0.491020i
\(227\) −6.20994 + 19.1122i −0.412168 + 1.26852i 0.502591 + 0.864524i \(0.332380\pi\)
−0.914760 + 0.403999i \(0.867620\pi\)
\(228\) −7.51326 + 7.53068i −0.497577 + 0.498731i
\(229\) −3.44951 2.50621i −0.227950 0.165615i 0.467948 0.883756i \(-0.344993\pi\)
−0.695898 + 0.718141i \(0.744993\pi\)
\(230\) 0.488266 15.5459i 0.0321953 1.02507i
\(231\) −29.4871 + 43.7165i −1.94011 + 2.87633i
\(232\) 1.76896 + 10.0323i 0.116138 + 0.658652i
\(233\) 7.63743 + 15.6590i 0.500344 + 1.02586i 0.988234 + 0.152952i \(0.0488781\pi\)
−0.487889 + 0.872906i \(0.662233\pi\)
\(234\) 0.110036 3.15103i 0.00719330 0.205989i
\(235\) −5.95634 + 14.8927i −0.388549 + 0.971493i
\(236\) −3.34468 3.71464i −0.217720 0.241802i
\(237\) −0.550347 0.343895i −0.0357489 0.0223384i
\(238\) 3.98790 + 2.49192i 0.258497 + 0.161527i
\(239\) −20.3929 22.6486i −1.31911 1.46502i −0.784832 0.619709i \(-0.787251\pi\)
−0.534277 0.845310i \(-0.679416\pi\)
\(240\) −1.00599 0.0667995i −0.0649365 0.00431189i
\(241\) −0.838822 + 24.0207i −0.0540333 + 1.54731i 0.605628 + 0.795748i \(0.292922\pi\)
−0.659661 + 0.751563i \(0.729300\pi\)
\(242\) −9.70019 19.8883i −0.623552 1.27847i
\(243\) 2.09631 + 11.8888i 0.134478 + 0.762665i
\(244\) −4.95401 + 7.34462i −0.317148 + 0.470191i
\(245\) 14.4504 + 21.2623i 0.923203 + 1.35840i
\(246\) 0.483368 + 0.351187i 0.0308184 + 0.0223909i
\(247\) 1.06489 12.3362i 0.0677571 0.784935i
\(248\) −2.66595 + 8.20496i −0.169288 + 0.521015i
\(249\) 5.05090 + 4.23821i 0.320088 + 0.268586i
\(250\) 7.17969 7.08091i 0.454084 0.447836i
\(251\) −0.346370 1.96436i −0.0218627 0.123989i 0.971923 0.235298i \(-0.0756067\pi\)
−0.993786 + 0.111309i \(0.964496\pi\)
\(252\) 5.54465 + 2.94814i 0.349280 + 0.185716i
\(253\) −25.7068 38.1119i −1.61617 2.39608i
\(254\) 0.561069 5.33821i 0.0352046 0.334949i
\(255\) −3.99705 + 3.88710i −0.250305 + 0.243420i
\(256\) 3.98497 15.9828i 0.249061 0.998928i
\(257\) 3.14711 2.64074i 0.196311 0.164725i −0.539333 0.842092i \(-0.681324\pi\)
0.735645 + 0.677368i \(0.236879\pi\)
\(258\) −0.367597 3.49745i −0.0228856 0.217742i
\(259\) 31.9846 35.5225i 1.98743 2.20726i
\(260\) −6.08159 + 4.45122i −0.377164 + 0.276053i
\(261\) −3.85134 2.04779i −0.238392 0.126755i
\(262\) 2.46633 1.31137i 0.152370 0.0810167i
\(263\) 7.72661 + 9.88960i 0.476443 + 0.609819i 0.964851 0.262796i \(-0.0846446\pi\)
−0.488409 + 0.872615i \(0.662422\pi\)
\(264\) −29.8836 + 18.6734i −1.83921 + 1.14927i
\(265\) 12.5694 + 15.9722i 0.772131 + 0.981167i
\(266\) −14.5035 8.69174i −0.889266 0.532925i
\(267\) −7.04701 + 5.11995i −0.431270 + 0.313336i
\(268\) −7.18972 6.03289i −0.439182 0.368518i
\(269\) −11.5429 + 17.1131i −0.703786 + 1.04341i 0.292413 + 0.956292i \(0.405542\pi\)
−0.996198 + 0.0871132i \(0.972236\pi\)
\(270\) −4.89216 + 5.47178i −0.297727 + 0.333002i
\(271\) −0.502536 + 0.485293i −0.0305269 + 0.0294794i −0.709765 0.704438i \(-0.751199\pi\)
0.679239 + 0.733918i \(0.262310\pi\)
\(272\) 0.148601 + 0.220310i 0.00901024 + 0.0133582i
\(273\) −24.5795 + 5.22454i −1.48762 + 0.316203i
\(274\) 2.77357 4.80397i 0.167558 0.290218i
\(275\) 4.96947 29.3878i 0.299670 1.77215i
\(276\) −14.4175 + 12.0978i −0.867834 + 0.728199i
\(277\) −19.7874 21.9762i −1.18891 1.32042i −0.935611 0.353034i \(-0.885150\pi\)
−0.253302 0.967387i \(-0.581517\pi\)
\(278\) 0.319313 3.03806i 0.0191511 0.182211i
\(279\) −2.06567 3.06248i −0.123668 0.183346i
\(280\) 4.89500 + 27.2024i 0.292532 + 1.62566i
\(281\) 5.57338 + 5.38215i 0.332480 + 0.321072i 0.842094 0.539331i \(-0.181323\pi\)
−0.509614 + 0.860403i \(0.670212\pi\)
\(282\) −12.5048 + 4.55137i −0.744648 + 0.271030i
\(283\) 6.42375 + 0.449192i 0.381852 + 0.0267017i 0.259393 0.965772i \(-0.416478\pi\)
0.122459 + 0.992474i \(0.460922\pi\)
\(284\) −2.38027 7.32570i −0.141243 0.434701i
\(285\) 14.1095 14.2418i 0.835776 0.843613i
\(286\) 4.71951 14.5252i 0.279071 0.858891i
\(287\) 0.518878 1.28427i 0.0306284 0.0758080i
\(288\) 4.20518 + 5.38238i 0.247792 + 0.317160i
\(289\) −15.3793 2.16142i −0.904664 0.127142i
\(290\) −1.26603 7.03557i −0.0743439 0.413143i
\(291\) 0.0213367 0.611002i 0.00125078 0.0358176i
\(292\) 0.291890 + 0.129958i 0.0170816 + 0.00760521i
\(293\) 14.2654 24.7083i 0.833391 1.44348i −0.0619433 0.998080i \(-0.519730\pi\)
0.895334 0.445395i \(-0.146937\pi\)
\(294\) −5.15986 + 20.6951i −0.300929 + 1.20696i
\(295\) 6.32787 + 6.97841i 0.368423 + 0.406299i
\(296\) 29.1812 12.9923i 1.69612 0.755162i
\(297\) −2.26766 + 21.5754i −0.131583 + 1.25193i
\(298\) −3.12965 + 4.00576i −0.181296 + 0.232048i
\(299\) 3.80413 21.5743i 0.219998 1.24767i
\(300\) −12.1782 0.765740i −0.703109 0.0442100i
\(301\) −7.66114 + 2.78843i −0.441581 + 0.160722i
\(302\) −1.56990 + 0.980981i −0.0903374 + 0.0564491i
\(303\) −8.49393 6.17120i −0.487964 0.354526i
\(304\) −0.548970 0.782082i −0.0314856 0.0448555i
\(305\) 9.28765 13.8743i 0.531809 0.794439i
\(306\) −1.34226 0.0938598i −0.0767317 0.00536561i
\(307\) 17.0048 6.18924i 0.970514 0.353238i 0.192369 0.981323i \(-0.438383\pi\)
0.778145 + 0.628084i \(0.216161\pi\)
\(308\) 21.8812 + 21.1304i 1.24680 + 1.20402i
\(309\) −13.7577 + 1.93352i −0.782649 + 0.109994i
\(310\) 1.85057 5.76420i 0.105105 0.327385i
\(311\) −20.4690 + 4.35081i −1.16069 + 0.246712i −0.747708 0.664028i \(-0.768846\pi\)
−0.412981 + 0.910740i \(0.635512\pi\)
\(312\) −16.4254 3.49133i −0.929905 0.197657i
\(313\) 19.0007 + 11.8730i 1.07399 + 0.671101i 0.947140 0.320822i \(-0.103959\pi\)
0.126846 + 0.991922i \(0.459515\pi\)
\(314\) 8.13912 + 20.1450i 0.459317 + 1.13685i
\(315\) −10.4688 5.51934i −0.589851 0.310980i
\(316\) −0.250492 + 0.278200i −0.0140913 + 0.0156500i
\(317\) −15.4246 + 4.42293i −0.866331 + 0.248417i −0.679231 0.733924i \(-0.737687\pi\)
−0.187100 + 0.982341i \(0.559909\pi\)
\(318\) −2.92815 + 16.6064i −0.164203 + 0.931239i
\(319\) −15.1988 14.6773i −0.850969 0.821771i
\(320\) −2.90377 + 11.8230i −0.162326 + 0.660923i
\(321\) 4.23406 + 16.9819i 0.236322 + 0.947836i
\(322\) −24.2021 17.5839i −1.34873 0.979911i
\(323\) −5.24547 0.637898i −0.291866 0.0354936i
\(324\) 13.2620 0.736780
\(325\) 11.4318 8.42889i 0.634122 0.467551i
\(326\) 17.7760 6.46993i 0.984521 0.358336i
\(327\) −3.62657 0.509682i −0.200550 0.0281855i
\(328\) 0.665835 0.642989i 0.0367646 0.0355031i
\(329\) 17.2513 + 25.5761i 0.951095 + 1.41006i
\(330\) 20.9242 13.1772i 1.15184 0.725381i
\(331\) −2.02917 19.3063i −0.111533 1.06117i −0.896929 0.442175i \(-0.854207\pi\)
0.785395 0.618995i \(-0.212460\pi\)
\(332\) 2.91364 2.44483i 0.159907 0.134178i
\(333\) −3.30884 + 13.2711i −0.181324 + 0.727249i
\(334\) 12.6975 + 2.69893i 0.694775 + 0.147679i
\(335\) 13.5895 + 11.3219i 0.742473 + 0.618582i
\(336\) −1.19387 + 1.52808i −0.0651309 + 0.0833638i
\(337\) −34.1595 + 4.80081i −1.86079 + 0.261517i −0.978053 0.208355i \(-0.933189\pi\)
−0.882735 + 0.469871i \(0.844300\pi\)
\(338\) −3.92666 + 2.08784i −0.213582 + 0.113564i
\(339\) 0.913962 + 26.1724i 0.0496396 + 1.42149i
\(340\) 1.80785 + 2.66006i 0.0980442 + 0.144262i
\(341\) −5.52941 17.0178i −0.299434 0.921564i
\(342\) 4.83177 + 0.247612i 0.261272 + 0.0133893i
\(343\) 19.3405 1.04429
\(344\) −5.43489 0.380044i −0.293030 0.0204906i
\(345\) 27.0910 22.8945i 1.45853 1.23260i
\(346\) 6.41631 13.1554i 0.344943 0.707238i
\(347\) −16.3708 + 15.8091i −0.878830 + 0.848677i −0.989404 0.145191i \(-0.953620\pi\)
0.110573 + 0.993868i \(0.464731\pi\)
\(348\) −5.32559 + 6.81645i −0.285482 + 0.365400i
\(349\) 6.31164 + 10.9321i 0.337855 + 0.585181i 0.984029 0.178009i \(-0.0569655\pi\)
−0.646174 + 0.763190i \(0.723632\pi\)
\(350\) −3.50194 19.0766i −0.187186 1.01969i
\(351\) −7.91947 + 6.64522i −0.422710 + 0.354696i
\(352\) 12.3941 + 30.6765i 0.660609 + 1.63506i
\(353\) 4.90042 2.18181i 0.260823 0.116126i −0.272159 0.962252i \(-0.587738\pi\)
0.532983 + 0.846126i \(0.321071\pi\)
\(354\) −0.816939 + 7.77265i −0.0434198 + 0.413112i
\(355\) 4.53424 + 13.7901i 0.240652 + 0.731904i
\(356\) 2.20270 + 4.51621i 0.116743 + 0.239359i
\(357\) 1.86216 + 10.5608i 0.0985561 + 0.558939i
\(358\) 6.37259 9.44775i 0.336802 0.499329i
\(359\) 4.49255 11.1194i 0.237108 0.586862i −0.760973 0.648783i \(-0.775278\pi\)
0.998081 + 0.0619210i \(0.0197227\pi\)
\(360\) −4.89085 6.21492i −0.257770 0.327555i
\(361\) 18.9005 + 1.94227i 0.994761 + 0.102225i
\(362\) 3.59301 + 11.0581i 0.188844 + 0.581203i
\(363\) 18.9033 46.7872i 0.992164 2.45569i
\(364\) 0.505889 + 14.4868i 0.0265158 + 0.759312i
\(365\) −0.550949 0.242986i −0.0288380 0.0127184i
\(366\) 13.7170 1.92780i 0.717000 0.100768i
\(367\) 12.3119 3.53037i 0.642675 0.184284i 0.0615571 0.998104i \(-0.480393\pi\)
0.581118 + 0.813820i \(0.302616\pi\)
\(368\) −0.845280 1.46407i −0.0440633 0.0763199i
\(369\) 0.0414281 + 0.394162i 0.00215666 + 0.0205193i
\(370\) −20.4452 + 9.18890i −1.06290 + 0.477708i
\(371\) 38.9973 2.72696i 2.02464 0.141576i
\(372\) −6.69233 + 2.97962i −0.346981 + 0.154486i
\(373\) −22.2718 + 4.73401i −1.15319 + 0.245118i −0.744543 0.667575i \(-0.767332\pi\)
−0.408647 + 0.912693i \(0.633999\pi\)
\(374\) −6.12462 2.22918i −0.316696 0.115268i
\(375\) 22.9558 + 1.36256i 1.18543 + 0.0703625i
\(376\) 3.57992 + 20.3027i 0.184620 + 1.04703i
\(377\) −0.351393 10.0626i −0.0180976 0.518248i
\(378\) 3.41530 + 13.6980i 0.175664 + 0.704550i
\(379\) 4.66316 + 3.38798i 0.239530 + 0.174029i 0.701074 0.713089i \(-0.252704\pi\)
−0.461544 + 0.887117i \(0.652704\pi\)
\(380\) −6.67731 9.44209i −0.342539 0.484369i
\(381\) 9.90290 7.19488i 0.507341 0.368605i
\(382\) 15.1210 + 12.6880i 0.773655 + 0.649174i
\(383\) −6.36801 + 9.44096i −0.325390 + 0.482411i −0.955868 0.293796i \(-0.905081\pi\)
0.630478 + 0.776207i \(0.282859\pi\)
\(384\) 11.2417 5.97733i 0.573676 0.305029i
\(385\) −41.3766 39.6773i −2.10875 2.02214i
\(386\) −0.509730 + 0.652425i −0.0259446 + 0.0332076i
\(387\) 1.56095 1.73361i 0.0793476 0.0881244i
\(388\) −0.344968 0.0733251i −0.0175131 0.00372252i
\(389\) 7.48672 + 18.5303i 0.379592 + 0.939522i 0.989167 + 0.146794i \(0.0468955\pi\)
−0.609575 + 0.792728i \(0.708660\pi\)
\(390\) 11.5347 + 2.40951i 0.584084 + 0.122010i
\(391\) −9.14466 1.94376i −0.462465 0.0983000i
\(392\) 30.1860 + 13.4397i 1.52462 + 0.678806i
\(393\) 5.98584 + 2.17867i 0.301945 + 0.109899i
\(394\) 1.45785 + 2.98903i 0.0734452 + 0.150585i
\(395\) 0.470232 0.525945i 0.0236599 0.0264632i
\(396\) −8.36662 2.39909i −0.420438 0.120559i
\(397\) −5.66584 22.7244i −0.284360 1.14051i −0.927218 0.374521i \(-0.877807\pi\)
0.642858 0.765985i \(-0.277749\pi\)
\(398\) −1.55183 + 4.77605i −0.0777864 + 0.239402i
\(399\) −7.40128 37.8423i −0.370527 1.89448i
\(400\) 0.257690 1.06533i 0.0128845 0.0532667i
\(401\) −29.2796 24.5685i −1.46215 1.22689i −0.923064 0.384646i \(-0.874324\pi\)
−0.539091 0.842248i \(-0.681232\pi\)
\(402\) 0.512140 + 14.6658i 0.0255432 + 0.731463i
\(403\) 3.73798 7.66399i 0.186202 0.381771i
\(404\) −4.35664 + 4.20716i −0.216751 + 0.209314i
\(405\) −24.9933 + 0.0877005i −1.24193 + 0.00435787i
\(406\) −12.5607 5.59239i −0.623378 0.277546i
\(407\) −33.1260 + 57.3760i −1.64200 + 2.84402i
\(408\) −1.73366 + 6.95335i −0.0858292 + 0.344242i
\(409\) −17.7956 11.1199i −0.879937 0.549846i 0.0130565 0.999915i \(-0.495844\pi\)
−0.892994 + 0.450069i \(0.851399\pi\)
\(410\) −0.465651 + 0.452842i −0.0229969 + 0.0223643i
\(411\) 12.3736 2.63009i 0.610346 0.129733i
\(412\) −0.279692 + 8.00932i −0.0137794 + 0.394591i
\(413\) 17.9423 2.52162i 0.882882 0.124081i
\(414\) 8.47656 + 1.19130i 0.416600 + 0.0585493i
\(415\) −5.47481 + 4.62675i −0.268748 + 0.227118i
\(416\) −5.90628 + 14.6186i −0.289579 + 0.716734i
\(417\) 5.63589 4.09472i 0.275991 0.200519i
\(418\) 22.1675 + 7.60419i 1.08425 + 0.371933i
\(419\) 4.97166 3.61212i 0.242881 0.176464i −0.459685 0.888082i \(-0.652038\pi\)
0.702566 + 0.711619i \(0.252038\pi\)
\(420\) −14.3843 + 18.5449i −0.701883 + 0.904896i
\(421\) −3.03154 0.869279i −0.147748 0.0423661i 0.200948 0.979602i \(-0.435598\pi\)
−0.348696 + 0.937236i \(0.613375\pi\)
\(422\) −1.68864 + 3.46222i −0.0822017 + 0.168538i
\(423\) −7.79410 4.14420i −0.378962 0.201498i
\(424\) 24.5483 + 8.93486i 1.19217 + 0.433915i
\(425\) −3.42462 5.00113i −0.166118 0.242591i
\(426\) −6.02178 + 10.4300i −0.291756 + 0.505336i
\(427\) −12.0296 29.7744i −0.582155 1.44088i
\(428\) 10.0714 0.704260i 0.486819 0.0340417i
\(429\) 31.8177 14.1661i 1.53617 0.683947i
\(430\) 3.81474 + 0.253305i 0.183963 + 0.0122155i
\(431\) 22.1643 6.35552i 1.06762 0.306135i 0.304580 0.952487i \(-0.401484\pi\)
0.763039 + 0.646352i \(0.223706\pi\)
\(432\) −0.138535 + 0.785669i −0.00666525 + 0.0378005i
\(433\) −2.02127 1.95192i −0.0971362 0.0938034i 0.644505 0.764600i \(-0.277063\pi\)
−0.741641 + 0.670797i \(0.765952\pi\)
\(434\) −7.16882 9.17568i −0.344115 0.440447i
\(435\) 9.99141 12.8813i 0.479052 0.617613i
\(436\) −0.652819 + 2.00917i −0.0312644 + 0.0962218i
\(437\) 33.0056 + 6.37599i 1.57887 + 0.305005i
\(438\) −0.154377 0.475125i −0.00737643 0.0227023i
\(439\) 20.8303 13.0162i 0.994175 0.621230i 0.0677477 0.997702i \(-0.478419\pi\)
0.926428 + 0.376473i \(0.122863\pi\)
\(440\) −14.4752 35.4686i −0.690079 1.69090i
\(441\) −12.4922 + 6.64222i −0.594866 + 0.316296i
\(442\) −1.36155 2.79159i −0.0647623 0.132782i
\(443\) 26.1078 + 9.50247i 1.24042 + 0.451476i 0.877154 0.480209i \(-0.159439\pi\)
0.363266 + 0.931685i \(0.381662\pi\)
\(444\) 24.7788 + 11.0322i 1.17595 + 0.523567i
\(445\) −4.18103 8.49659i −0.198200 0.402777i
\(446\) −21.8780 + 1.52986i −1.03595 + 0.0724409i
\(447\) −11.5642 + 0.808651i −0.546970 + 0.0382479i
\(448\) 15.6683 + 17.4014i 0.740256 + 0.822137i
\(449\) −7.42215 12.8555i −0.350273 0.606691i 0.636024 0.771669i \(-0.280578\pi\)
−0.986297 + 0.164978i \(0.947245\pi\)
\(450\) 3.44734 + 4.34914i 0.162509 + 0.205020i
\(451\) −0.333372 + 1.89065i −0.0156979 + 0.0890271i
\(452\) 14.9599 + 2.10248i 0.703654 + 0.0988921i
\(453\) −4.05803 1.16362i −0.190663 0.0546717i
\(454\) −4.38489 17.5868i −0.205793 0.825391i
\(455\) −1.04919 27.2981i −0.0491866 1.27975i
\(456\) 5.76733 25.1137i 0.270080 1.17606i
\(457\) −29.3775 −1.37422 −0.687111 0.726553i \(-0.741121\pi\)
−0.687111 + 0.726553i \(0.741121\pi\)
\(458\) 3.83635 + 0.268264i 0.179261 + 0.0125352i
\(459\) 2.71620 + 3.47658i 0.126782 + 0.162273i
\(460\) −10.2925 17.6835i −0.479889 0.824497i
\(461\) −27.2442 14.4860i −1.26889 0.674679i −0.307938 0.951406i \(-0.599639\pi\)
−0.960948 + 0.276727i \(0.910750\pi\)
\(462\) 1.65985 47.5318i 0.0772231 2.21138i
\(463\) 20.3217 22.5695i 0.944428 1.04889i −0.0543029 0.998525i \(-0.517294\pi\)
0.998731 0.0503688i \(-0.0160397\pi\)
\(464\) −0.519912 0.577421i −0.0241363 0.0268061i
\(465\) 12.5925 5.65958i 0.583964 0.262457i
\(466\) −13.3261 8.32709i −0.617321 0.385745i
\(467\) 3.42281 + 32.5659i 0.158389 + 1.50697i 0.728298 + 0.685261i \(0.240312\pi\)
−0.569909 + 0.821708i \(0.693021\pi\)
\(468\) −2.07385 3.59201i −0.0958636 0.166041i
\(469\) 32.7026 9.37731i 1.51006 0.433004i
\(470\) −2.56212 14.2381i −0.118182 0.656757i
\(471\) −21.7204 + 44.5333i −1.00082 + 2.05199i
\(472\) 11.6388 + 3.33738i 0.535720 + 0.153615i
\(473\) 9.58290 5.98806i 0.440622 0.275331i
\(474\) 0.585322 0.0268847
\(475\) 12.6464 + 17.7502i 0.580254 + 0.814435i
\(476\) 6.18606 0.283538
\(477\) −9.48604 + 5.92753i −0.434336 + 0.271403i
\(478\) 26.4234 + 7.57679i 1.20858 + 0.346554i
\(479\) −7.22101 + 14.8053i −0.329937 + 0.676470i −0.997691 0.0679111i \(-0.978367\pi\)
0.667755 + 0.744381i \(0.267255\pi\)
\(480\) −22.4972 + 12.0634i −1.02685 + 0.550618i
\(481\) −30.3486 + 8.70233i −1.38378 + 0.396792i
\(482\) −10.8392 18.7741i −0.493714 0.855138i
\(483\) −7.13105 67.8474i −0.324474 3.08717i
\(484\) −24.6859 15.4254i −1.12209 0.701157i
\(485\) 0.650603 + 0.135906i 0.0295424 + 0.00617116i
\(486\) −7.28575 8.09165i −0.330489 0.367045i
\(487\) −12.4212 + 13.7951i −0.562858 + 0.625117i −0.955648 0.294511i \(-0.904843\pi\)
0.392790 + 0.919628i \(0.371510\pi\)
\(488\) 0.748926 21.4464i 0.0339023 0.970834i
\(489\) 38.0896 + 20.2526i 1.72247 + 0.915853i
\(490\) −21.2154 9.35665i −0.958415 0.422690i
\(491\) 10.6846 + 13.6756i 0.482188 + 0.617172i 0.966170 0.257906i \(-0.0830324\pi\)
−0.483982 + 0.875078i \(0.660810\pi\)
\(492\) 0.784062 + 0.0548270i 0.0353483 + 0.00247179i
\(493\) −4.29686 −0.193521
\(494\) 5.08165 + 9.94482i 0.228634 + 0.447439i
\(495\) 15.7834 + 4.46594i 0.709411 + 0.200729i
\(496\) −0.159190 0.638476i −0.00714784 0.0286684i
\(497\) 26.8390 + 7.69596i 1.20389 + 0.345211i
\(498\) −5.88906 0.827654i −0.263895 0.0370881i
\(499\) −1.69719 + 9.62524i −0.0759767 + 0.430885i 0.922965 + 0.384885i \(0.125759\pi\)
−0.998941 + 0.0460006i \(0.985352\pi\)
\(500\) 3.07354 12.9045i 0.137453 0.577108i
\(501\) 14.8015 + 25.6370i 0.661283 + 1.14538i
\(502\) 1.20381 + 1.33697i 0.0537288 + 0.0596719i
\(503\) −15.8762 + 1.11017i −0.707886 + 0.0495002i −0.419161 0.907912i \(-0.637676\pi\)
−0.288725 + 0.957412i \(0.593231\pi\)
\(504\) −15.1741 + 1.06108i −0.675910 + 0.0472643i
\(505\) 8.18261 7.95753i 0.364121 0.354106i
\(506\) 37.8787 + 16.8647i 1.68391 + 0.749727i
\(507\) −9.53011 3.46868i −0.423247 0.154049i
\(508\) −3.09538 6.34646i −0.137335 0.281579i
\(509\) 12.7846 6.79768i 0.566666 0.301302i −0.161310 0.986904i \(-0.551572\pi\)
0.727977 + 0.685602i \(0.240461\pi\)
\(510\) 1.19944 4.88362i 0.0531120 0.216250i
\(511\) −0.982182 + 0.613735i −0.0434492 + 0.0271500i
\(512\) 0.765357 + 2.35553i 0.0338243 + 0.104101i
\(513\) −9.99755 12.3168i −0.441403 0.543798i
\(514\) −1.14503 + 3.52405i −0.0505053 + 0.155439i
\(515\) 0.474136 15.0960i 0.0208929 0.665211i
\(516\) −2.84819 3.64552i −0.125385 0.160485i
\(517\) −30.7584 29.7030i −1.35275 1.30634i
\(518\) −7.48650 + 42.4581i −0.328938 + 1.86550i
\(519\) 32.0854 9.20035i 1.40839 0.403851i
\(520\) 6.77921 16.9501i 0.297288 0.743313i
\(521\) −22.4037 + 9.97477i −0.981524 + 0.437002i −0.833824 0.552030i \(-0.813853\pi\)
−0.147699 + 0.989032i \(0.547187\pi\)
\(522\) 3.92461 0.274435i 0.171775 0.0120117i
\(523\) 2.43106 + 6.01707i 0.106303 + 0.263108i 0.970955 0.239263i \(-0.0769057\pi\)
−0.864652 + 0.502371i \(0.832461\pi\)
\(524\) 1.83728 3.18226i 0.0802620 0.139018i
\(525\) 26.9857 35.0443i 1.17775 1.52946i
\(526\) −10.6368 3.87148i −0.463786 0.168804i
\(527\) −3.21298 1.70837i −0.139960 0.0744178i
\(528\) 1.17822 2.41571i 0.0512754 0.105130i
\(529\) 35.0621 + 10.0539i 1.52444 + 0.437126i
\(530\) −17.2482 6.20939i −0.749215 0.269718i
\(531\) −4.19424 + 3.04730i −0.182015 + 0.132241i
\(532\) −22.2392 + 0.413948i −0.964193 + 0.0179469i
\(533\) −0.740142 + 0.537744i −0.0320591 + 0.0232923i
\(534\) 2.94307 7.28436i 0.127359 0.315225i
\(535\) −18.9757 + 1.39383i −0.820389 + 0.0602607i
\(536\) 22.5131 + 3.16401i 0.972418 + 0.136664i
\(537\) 25.7353 3.61687i 1.11056 0.156079i
\(538\) 0.649759 18.6067i 0.0280131 0.802191i
\(539\) −67.0357 + 14.2489i −2.88743 + 0.613743i
\(540\) −1.64330 + 9.51471i −0.0707162 + 0.409448i
\(541\) 34.4562 + 21.5307i 1.48139 + 0.925675i 0.998757 + 0.0498526i \(0.0158751\pi\)
0.482633 + 0.875823i \(0.339680\pi\)
\(542\) 0.152436 0.611386i 0.00654767 0.0262613i
\(543\) −13.2577 + 22.9630i −0.568943 + 0.985438i
\(544\) 6.14677 + 2.73672i 0.263541 + 0.117336i
\(545\) 1.21700 3.79076i 0.0521306 0.162378i
\(546\) 16.3035 15.7441i 0.697727 0.673787i
\(547\) 2.74576 5.62965i 0.117400 0.240706i −0.831999 0.554776i \(-0.812804\pi\)
0.949400 + 0.314070i \(0.101693\pi\)
\(548\) −0.254670 7.29280i −0.0108790 0.311533i
\(549\) 7.03886 + 5.90630i 0.300411 + 0.252075i
\(550\) 10.2450 + 24.8536i 0.436847 + 1.05976i
\(551\) 15.4475 0.287530i 0.658085 0.0122492i
\(552\) 14.0878 43.3579i 0.599618 1.84543i
\(553\) −0.328277 1.31665i −0.0139597 0.0559895i
\(554\) 25.6389 + 7.35183i 1.08929 + 0.312349i
\(555\) −46.7705 20.6272i −1.98530 0.875578i
\(556\) −1.76163 3.61187i −0.0747096 0.153177i
\(557\) 14.3884 + 5.23696i 0.609657 + 0.221897i 0.628353 0.777928i \(-0.283729\pi\)
−0.0186962 + 0.999825i \(0.505952\pi\)
\(558\) 3.04374 + 1.35516i 0.128852 + 0.0573684i
\(559\) 5.26719 + 1.11958i 0.222778 + 0.0473530i
\(560\) −1.41611 1.56169i −0.0598414 0.0659935i
\(561\) −5.56790 13.7810i −0.235077 0.581836i
\(562\) −6.83545 1.45292i −0.288336 0.0612878i
\(563\) −12.3991 + 13.7706i −0.522561 + 0.580363i −0.945429 0.325829i \(-0.894357\pi\)
0.422868 + 0.906191i \(0.361023\pi\)
\(564\) −10.7776 + 13.7947i −0.453819 + 0.580861i
\(565\) −28.2070 3.86335i −1.18668 0.162532i
\(566\) −5.12815 + 2.72669i −0.215552 + 0.114611i
\(567\) −26.8815 + 39.8535i −1.12892 + 1.67369i
\(568\) 14.2929 + 11.9932i 0.599718 + 0.503223i
\(569\) 5.44758 3.95790i 0.228374 0.165924i −0.467714 0.883880i \(-0.654922\pi\)
0.696088 + 0.717956i \(0.254922\pi\)
\(570\) −3.98525 + 17.6372i −0.166924 + 0.738739i
\(571\) −29.5270 21.4526i −1.23567 0.897765i −0.238366 0.971175i \(-0.576612\pi\)
−0.997302 + 0.0734100i \(0.976612\pi\)
\(572\) −4.86049 19.4944i −0.203227 0.815100i
\(573\) 1.57097 + 44.9867i 0.0656281 + 1.87934i
\(574\) 0.216939 + 1.23032i 0.00905488 + 0.0513528i
\(575\) 19.5139 + 33.2578i 0.813786 + 1.38695i
\(576\) −6.29603 2.29157i −0.262334 0.0954819i
\(577\) 19.8097 4.21069i 0.824690 0.175293i 0.223810 0.974633i \(-0.428150\pi\)
0.600880 + 0.799339i \(0.294817\pi\)
\(578\) 12.7965 5.69738i 0.532265 0.236980i
\(579\) −1.88349 + 0.131706i −0.0782750 + 0.00547352i
\(580\) −6.31694 6.96636i −0.262297 0.289262i
\(581\) 1.44111 + 13.7113i 0.0597875 + 0.568840i
\(582\) 0.275712 + 0.477547i 0.0114286 + 0.0197950i
\(583\) −52.0840 + 14.9348i −2.15710 + 0.618538i
\(584\) −0.766419 + 0.107713i −0.0317147 + 0.00445721i
\(585\) 3.93208 + 6.75570i 0.162571 + 0.279314i
\(586\) 0.898070 + 25.7173i 0.0370989 + 1.06237i
\(587\) 8.13859 20.1437i 0.335916 0.831421i −0.660809 0.750554i \(-0.729787\pi\)
0.996725 0.0808667i \(-0.0257688\pi\)
\(588\) 8.67032 + 26.6845i 0.357558 + 1.10045i
\(589\) 11.6652 + 5.92670i 0.480655 + 0.244205i
\(590\) −8.17549 2.31327i −0.336580 0.0952358i
\(591\) −2.84098 + 7.03167i −0.116862 + 0.289244i
\(592\) −1.36240 + 2.01984i −0.0559944 + 0.0830151i
\(593\) 8.24525 + 46.7611i 0.338592 + 1.92025i 0.388401 + 0.921490i \(0.373028\pi\)
−0.0498093 + 0.998759i \(0.515861\pi\)
\(594\) −8.57757 17.5866i −0.351942 0.721588i
\(595\) −11.6581 + 0.0409078i −0.477936 + 0.00167705i
\(596\) −0.699001 + 6.65055i −0.0286322 + 0.272417i
\(597\) −10.4620 + 4.65800i −0.428182 + 0.190639i
\(598\) 7.40182 + 18.3202i 0.302683 + 0.749167i
\(599\) −27.6813 + 23.2274i −1.13103 + 0.949045i −0.999109 0.0422151i \(-0.986559\pi\)
−0.131920 + 0.991260i \(0.542114\pi\)
\(600\) 25.9995 14.0591i 1.06142 0.573960i
\(601\) −11.7350 20.3256i −0.478680 0.829099i 0.521021 0.853544i \(-0.325551\pi\)
−0.999701 + 0.0244451i \(0.992218\pi\)
\(602\) 4.52718 5.79453i 0.184514 0.236167i
\(603\) −7.00237 + 6.76211i −0.285158 + 0.275374i
\(604\) −1.06754 + 2.18877i −0.0434374 + 0.0890599i
\(605\) 46.6245 + 28.9072i 1.89555 + 1.17525i
\(606\) 9.44649 + 0.660563i 0.383737 + 0.0268335i
\(607\) 40.1073 1.62791 0.813953 0.580930i \(-0.197311\pi\)
0.813953 + 0.580930i \(0.197311\pi\)
\(608\) −22.2811 9.42734i −0.903619 0.382329i
\(609\) −9.68925 29.8204i −0.392628 1.20839i
\(610\) −0.472733 + 15.0514i −0.0191404 + 0.609413i
\(611\) −0.711126 20.3640i −0.0287691 0.823839i
\(612\) −1.56286 + 0.830987i −0.0631748 + 0.0335907i
\(613\) 6.30229 0.885729i 0.254547 0.0357743i −0.0107453 0.999942i \(-0.503420\pi\)
0.265292 + 0.964168i \(0.414532\pi\)
\(614\) −10.0486 + 12.8616i −0.405529 + 0.519053i
\(615\) −1.47799 0.0981408i −0.0595983 0.00395742i
\(616\) −72.0719 15.3194i −2.90386 0.617235i
\(617\) −3.94772 + 15.8335i −0.158929 + 0.637431i 0.836993 + 0.547214i \(0.184312\pi\)
−0.995922 + 0.0902168i \(0.971244\pi\)
\(618\) 9.59900 8.05452i 0.386128 0.324000i
\(619\) 4.30654 + 40.9740i 0.173095 + 1.64689i 0.644235 + 0.764827i \(0.277176\pi\)
−0.471141 + 0.882058i \(0.656158\pi\)
\(620\) −1.95377 7.72062i −0.0784652 0.310067i
\(621\) −15.6947 23.2684i −0.629808 0.933729i
\(622\) 13.5770 13.1112i 0.544388 0.525710i
\(623\) −18.0364 2.53484i −0.722611 0.101556i
\(624\) 1.20356 0.438060i 0.0481810 0.0175365i
\(625\) −5.70699 + 24.3399i −0.228280 + 0.973596i
\(626\) −20.2082 −0.807684
\(627\) 20.9391 + 49.1711i 0.836228 + 1.96370i
\(628\) 23.1233 + 16.8000i 0.922719 + 0.670395i
\(629\) 3.25950 + 13.0731i 0.129965 + 0.521260i
\(630\) 10.6455 0.781952i 0.424127 0.0311537i
\(631\) −10.7582 10.3891i −0.428279 0.413584i 0.449025 0.893519i \(-0.351771\pi\)
−0.877304 + 0.479935i \(0.840660\pi\)
\(632\) 0.157463 0.893015i 0.00626353 0.0355222i
\(633\) −8.44423 + 2.42134i −0.335628 + 0.0962397i
\(634\) 9.68415 10.7553i 0.384607 0.427149i
\(635\) 5.87544 + 11.9399i 0.233160 + 0.473822i
\(636\) 8.30976 + 20.5674i 0.329504 + 0.815550i
\(637\) −27.6962 17.3065i −1.09736 0.685710i
\(638\) 18.6405 + 3.96216i 0.737985 + 0.156864i
\(639\) −7.81448 + 1.66102i −0.309136 + 0.0657089i
\(640\) 4.32340 + 13.1489i 0.170898 + 0.519756i
\(641\) −18.6405 + 2.61975i −0.736254 + 0.103474i −0.497326 0.867564i \(-0.665685\pi\)
−0.238928 + 0.971037i \(0.576796\pi\)
\(642\) −11.3552 10.9656i −0.448153 0.432777i
\(643\) −24.8277 + 9.03653i −0.979107 + 0.356366i −0.781493 0.623914i \(-0.785542\pi\)
−0.197614 + 0.980280i \(0.563319\pi\)
\(644\) −39.2579 2.74518i −1.54698 0.108175i
\(645\) 5.39175 + 6.85143i 0.212300 + 0.269775i
\(646\) 4.31710 2.01918i 0.169854 0.0794437i
\(647\) 12.5027 + 9.08376i 0.491533 + 0.357119i 0.805773 0.592224i \(-0.201750\pi\)
−0.314241 + 0.949343i \(0.601750\pi\)
\(648\) −27.2430 + 17.0233i −1.07021 + 0.668739i
\(649\) −23.5982 + 8.58906i −0.926312 + 0.337150i
\(650\) −4.71542 + 11.9111i −0.184954 + 0.467190i
\(651\) 4.61104 26.1505i 0.180721 1.02492i
\(652\) 15.3207 19.6097i 0.600006 0.767973i
\(653\) 1.16644 11.0979i 0.0456462 0.434294i −0.947703 0.319154i \(-0.896601\pi\)
0.993349 0.115141i \(-0.0367319\pi\)
\(654\) 3.01754 1.34349i 0.117995 0.0525347i
\(655\) −3.44146 + 6.00938i −0.134469 + 0.234806i
\(656\) −0.0170796 + 0.0685026i −0.000666847 + 0.00267458i
\(657\) 0.165696 0.286994i 0.00646442 0.0111967i
\(658\) −25.4196 11.3175i −0.990959 0.441203i
\(659\) −0.444197 + 12.7201i −0.0173034 + 0.495506i 0.959543 + 0.281563i \(0.0908528\pi\)
−0.976846 + 0.213943i \(0.931369\pi\)
\(660\) 14.1572 29.2869i 0.551068 1.13999i
\(661\) −20.7123 2.91092i −0.805614 0.113222i −0.275668 0.961253i \(-0.588899\pi\)
−0.529946 + 0.848031i \(0.677788\pi\)
\(662\) 10.7797 + 13.7973i 0.418963 + 0.536249i
\(663\) 2.65332 6.56720i 0.103047 0.255049i
\(664\) −2.84701 + 8.76219i −0.110485 + 0.340039i
\(665\) 41.9088 0.927183i 1.62516 0.0359546i
\(666\) −3.81208 11.7324i −0.147715 0.454620i
\(667\) 27.2687 + 1.90681i 1.05585 + 0.0738321i
\(668\) 16.0468 5.84056i 0.620870 0.225978i
\(669\) −35.9769 34.7425i −1.39095 1.34322i
\(670\) −15.8058 2.16484i −0.610633 0.0836349i
\(671\) 24.8890 + 36.8995i 0.960830 + 1.42449i
\(672\) −5.13225 + 48.8301i −0.197981 + 1.88366i
\(673\) 11.2538 + 12.4987i 0.433804 + 0.481788i 0.919920 0.392106i \(-0.128254\pi\)
−0.486116 + 0.873894i \(0.661587\pi\)
\(674\) 23.8337 19.9989i 0.918040 0.770327i
\(675\) 3.03400 17.9421i 0.116779 0.690591i
\(676\) −2.92515 + 5.06651i −0.112506 + 0.194866i
\(677\) 16.3355 3.47222i 0.627825 0.133448i 0.116998 0.993132i \(-0.462673\pi\)
0.510827 + 0.859684i \(0.329339\pi\)
\(678\) −13.2084 19.5822i −0.507264 0.752050i
\(679\) 0.919581 0.888029i 0.0352903 0.0340794i
\(680\) −7.12818 3.14375i −0.273353 0.120557i
\(681\) 23.1136 34.2674i 0.885716 1.31313i
\(682\) 12.3631 + 10.3739i 0.473409 + 0.397237i
\(683\) 12.5351 9.10728i 0.479642 0.348480i −0.321545 0.946894i \(-0.604202\pi\)
0.801187 + 0.598414i \(0.204202\pi\)
\(684\) 5.56296 3.09203i 0.212705 0.118227i
\(685\) 0.528173 + 13.7422i 0.0201804 + 0.525061i
\(686\) −14.7934 + 9.24393i −0.564814 + 0.352935i
\(687\) 5.39937 + 6.91088i 0.205999 + 0.263666i
\(688\) 0.366907 0.195088i 0.0139882 0.00743765i
\(689\) −22.7979 12.1219i −0.868533 0.461807i
\(690\) −9.77905 + 30.4601i −0.372282 + 1.15960i
\(691\) 6.95231 7.72133i 0.264478 0.293733i −0.596249 0.802800i \(-0.703343\pi\)
0.860727 + 0.509067i \(0.170009\pi\)
\(692\) −2.01265 19.1491i −0.0765094 0.727938i
\(693\) 24.1682 20.2795i 0.918074 0.770355i
\(694\) 4.96580 19.9167i 0.188499 0.756029i
\(695\) 3.34381 + 6.79520i 0.126838 + 0.257757i
\(696\) 2.19020 20.8384i 0.0830195 0.789878i
\(697\) 0.218322 + 0.323675i 0.00826953 + 0.0122601i
\(698\) −10.0528 5.34515i −0.380503 0.202317i
\(699\) −6.22267 35.2905i −0.235363 1.33481i
\(700\) −17.2052 18.8407i −0.650297 0.712113i
\(701\) −4.36434 3.66212i −0.164839 0.138316i 0.556637 0.830756i \(-0.312091\pi\)
−0.721476 + 0.692440i \(0.756536\pi\)
\(702\) 2.88140 8.86802i 0.108751 0.334702i
\(703\) −12.5929 46.7806i −0.474950 1.76436i
\(704\) −26.2565 19.0765i −0.989579 0.718971i
\(705\) 20.2200 26.0684i 0.761529 0.981794i
\(706\) −2.70547 + 4.01103i −0.101822 + 0.150957i
\(707\) −3.81215 21.6198i −0.143371 0.813095i
\(708\) 4.50699 + 9.24070i 0.169383 + 0.347287i
\(709\) −0.669191 + 19.1631i −0.0251320 + 0.719686i 0.919794 + 0.392402i \(0.128356\pi\)
−0.944926 + 0.327284i \(0.893867\pi\)
\(710\) −10.0593 8.38075i −0.377518 0.314524i
\(711\) 0.259804 + 0.288542i 0.00974343 + 0.0108212i
\(712\) −10.3219 6.44983i −0.386829 0.241717i
\(713\) 19.6320 + 12.2675i 0.735226 + 0.459420i
\(714\) −6.47197 7.18785i −0.242207 0.268999i
\(715\) 9.28888 + 36.7065i 0.347384 + 1.37274i
\(716\) 0.523194 14.9823i 0.0195527 0.559916i
\(717\) 27.4797 + 56.3418i 1.02625 + 2.10412i
\(718\) 1.87830 + 10.6524i 0.0700977 + 0.397544i
\(719\) 27.5446 40.8366i 1.02724 1.52295i 0.185810 0.982586i \(-0.440509\pi\)
0.841432 0.540363i \(-0.181713\pi\)
\(720\) 0.567553 + 0.204320i 0.0211515 + 0.00761456i
\(721\) −23.5017 17.0750i −0.875250 0.635906i
\(722\) −15.3851 + 7.54797i −0.572574 + 0.280906i
\(723\) 15.2769 47.0174i 0.568153 1.74860i
\(724\) 11.7171 + 9.83180i 0.435462 + 0.365396i
\(725\) 11.9508 + 13.0869i 0.443843 + 0.486034i
\(726\) 7.90333 + 44.8220i 0.293320 + 1.66350i
\(727\) −10.0649 5.35158i −0.373285 0.198479i 0.272220 0.962235i \(-0.412242\pi\)
−0.645505 + 0.763756i \(0.723353\pi\)
\(728\) −19.6346 29.1095i −0.727706 1.07887i
\(729\) −0.909577 + 8.65405i −0.0336880 + 0.320520i
\(730\) 0.537552 0.0774725i 0.0198957 0.00286738i
\(731\) 0.555940 2.22976i 0.0205622 0.0824705i
\(732\) 13.9589 11.7129i 0.515935 0.432921i
\(733\) 2.99224 + 28.4693i 0.110521 + 1.05154i 0.899441 + 0.437041i \(0.143974\pi\)
−0.788921 + 0.614495i \(0.789360\pi\)
\(734\) −7.72987 + 8.58488i −0.285315 + 0.316874i
\(735\) −16.5163 50.2317i −0.609215 1.85282i
\(736\) −37.7941 20.0955i −1.39311 0.740728i
\(737\) −41.6336 + 22.1370i −1.53359 + 0.815426i
\(738\) −0.220080 0.281690i −0.00810127 0.0103692i
\(739\) 16.2724 10.1681i 0.598590 0.374040i −0.196526 0.980499i \(-0.562966\pi\)
0.795115 + 0.606458i \(0.207410\pi\)
\(740\) −16.4032 + 24.5037i −0.602992 + 0.900774i
\(741\) −9.09940 + 23.7870i −0.334275 + 0.873838i
\(742\) −28.5253 + 20.7248i −1.04720 + 0.760832i
\(743\) −13.2280 11.0996i −0.485287 0.407205i 0.367046 0.930203i \(-0.380369\pi\)
−0.852334 + 0.522998i \(0.824813\pi\)
\(744\) 9.92278 14.7111i 0.363787 0.539336i
\(745\) 1.27334 12.5381i 0.0466516 0.459360i
\(746\) 14.7728 14.2659i 0.540871 0.522313i
\(747\) −2.20595 3.27046i −0.0807116 0.119660i
\(748\) −8.38663 + 1.78263i −0.306646 + 0.0651795i
\(749\) −18.2979 + 31.6928i −0.668589 + 1.15803i
\(750\) −18.2099 + 9.92967i −0.664932 + 0.362580i
\(751\) 10.7598 9.02853i 0.392630 0.329456i −0.425007 0.905190i \(-0.639728\pi\)
0.817637 + 0.575735i \(0.195284\pi\)
\(752\) −1.05217 1.16855i −0.0383685 0.0426126i
\(753\) −0.428850 + 4.08024i −0.0156282 + 0.148692i
\(754\) 5.07824 + 7.52880i 0.184939 + 0.274183i
\(755\) 1.99738 4.13197i 0.0726921 0.150378i
\(756\) 13.3591 + 12.9007i 0.485866 + 0.469195i
\(757\) 0.995260 0.362245i 0.0361733 0.0131660i −0.323870 0.946102i \(-0.604984\pi\)
0.360043 + 0.932936i \(0.382762\pi\)
\(758\) −5.18611 0.362648i −0.188368 0.0131720i
\(759\) 29.2193 + 89.9279i 1.06059 + 3.26418i
\(760\) 25.8366 + 10.8250i 0.937192 + 0.392663i
\(761\) −3.10954 + 9.57019i −0.112721 + 0.346919i −0.991465 0.130374i \(-0.958382\pi\)
0.878744 + 0.477293i \(0.158382\pi\)
\(762\) −4.13579 + 10.2364i −0.149824 + 0.370827i
\(763\) −4.71449 6.03427i −0.170676 0.218455i
\(764\) 25.7139 + 3.61385i 0.930296 + 0.130745i
\(765\) 2.93983 1.57639i 0.106290 0.0569947i
\(766\) 0.358459 10.2649i 0.0129517 0.370887i
\(767\) −10.9326 4.86750i −0.394752 0.175755i
\(768\) −16.9403 + 29.3415i −0.611281 + 1.05877i
\(769\) −2.76199 + 11.0777i −0.0996000 + 0.399474i −0.999315 0.0370038i \(-0.988219\pi\)
0.899715 + 0.436478i \(0.143774\pi\)
\(770\) 50.6125 + 10.5725i 1.82395 + 0.381008i