Properties

Label 70.2.k.a.17.4
Level $70$
Weight $2$
Character 70.17
Analytic conductor $0.559$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 70 = 2 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 70.k (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.558952814149\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 10 x^{14} + 61 x^{12} + 266 x^{10} + 852 x^{8} + 1438 x^{6} + 1933 x^{4} + 3038 x^{2} + 2401\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 17.4
Root \(-0.144868 + 1.25092i\) of defining polynomial
Character \(\chi\) \(=\) 70.17
Dual form 70.2.k.a.33.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 - 0.965926i) q^{2} +(1.95290 - 0.523277i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-1.82591 + 1.29076i) q^{5} -2.02179i q^{6} +(-1.90155 + 1.83959i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.941911 - 0.543813i) q^{9} +O(q^{10})\) \(q+(0.258819 - 0.965926i) q^{2} +(1.95290 - 0.523277i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-1.82591 + 1.29076i) q^{5} -2.02179i q^{6} +(-1.90155 + 1.83959i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.941911 - 0.543813i) q^{9} +(0.774197 + 2.09777i) q^{10} +(2.01999 - 3.49872i) q^{11} +(-1.95290 - 0.523277i) q^{12} +(-0.204875 - 0.204875i) q^{13} +(1.28475 + 2.31288i) q^{14} +(-2.89039 + 3.47617i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-0.527924 - 1.97024i) q^{17} +(-0.281498 - 1.05057i) q^{18} +(3.10166 + 5.37224i) q^{19} +(2.22666 - 0.204875i) q^{20} +(-2.75092 + 4.58757i) q^{21} +(-2.85669 - 2.85669i) q^{22} +(-4.38350 - 1.17456i) q^{23} +(-1.01089 + 1.75092i) q^{24} +(1.66789 - 4.71361i) q^{25} +(-0.250919 + 0.144868i) q^{26} +(-2.73397 + 2.73397i) q^{27} +(2.56659 - 0.642357i) q^{28} -7.15869i q^{29} +(2.60964 + 3.69160i) q^{30} +(6.33287 + 3.65628i) q^{31} +(0.965926 - 0.258819i) q^{32} +(2.11403 - 7.88965i) q^{33} -2.03974 q^{34} +(1.09759 - 5.81337i) q^{35} -1.08763 q^{36} +(1.19723 - 4.46814i) q^{37} +(5.99195 - 1.60554i) q^{38} +(-0.507306 - 0.292893i) q^{39} +(0.378409 - 2.20382i) q^{40} -2.58745i q^{41} +(3.71926 + 3.84454i) q^{42} +(-4.97801 + 4.97801i) q^{43} +(-3.49872 + 2.01999i) q^{44} +(-1.01791 + 2.20873i) q^{45} +(-2.26907 + 3.93014i) q^{46} +(-0.304388 - 0.0815604i) q^{47} +(1.42962 + 1.42962i) q^{48} +(0.231803 - 6.99616i) q^{49} +(-4.12132 - 2.83103i) q^{50} +(-2.06196 - 3.57142i) q^{51} +(0.0749894 + 0.279864i) q^{52} +(2.14370 + 8.00039i) q^{53} +(1.93321 + 3.34841i) q^{54} +(0.827689 + 8.99566i) q^{55} +(0.0438127 - 2.64539i) q^{56} +(8.86840 + 8.86840i) q^{57} +(-6.91477 - 1.85281i) q^{58} +(-0.427702 + 0.740802i) q^{59} +(4.24124 - 1.56526i) q^{60} +(-5.99356 + 3.46038i) q^{61} +(5.17076 - 5.17076i) q^{62} +(-0.790700 + 2.76682i) q^{63} -1.00000i q^{64} +(0.638527 + 0.109639i) q^{65} +(-7.07367 - 4.08398i) q^{66} +(3.05106 - 0.817530i) q^{67} +(-0.527924 + 1.97024i) q^{68} -9.17514 q^{69} +(-5.33121 - 2.56480i) q^{70} +7.12240 q^{71} +(-0.281498 + 1.05057i) q^{72} +(-11.1331 + 2.98311i) q^{73} +(-4.00603 - 2.31288i) q^{74} +(0.790684 - 10.0780i) q^{75} -6.20333i q^{76} +(2.59511 + 10.3690i) q^{77} +(-0.414214 + 0.414214i) q^{78} +(4.39618 - 2.53813i) q^{79} +(-2.03078 - 0.935904i) q^{80} +(-5.53997 + 9.59552i) q^{81} +(-2.49929 - 0.669683i) q^{82} +(3.85372 + 3.85372i) q^{83} +(4.67615 - 2.59749i) q^{84} +(3.50704 + 2.91605i) q^{85} +(3.51999 + 6.09680i) q^{86} +(-3.74598 - 13.9802i) q^{87} +(1.04562 + 3.90231i) q^{88} +(1.53615 + 2.66069i) q^{89} +(1.87002 + 1.55489i) q^{90} +(0.766467 + 0.0126942i) q^{91} +(3.20895 + 3.20895i) q^{92} +(14.2807 + 3.82650i) q^{93} +(-0.157563 + 0.272906i) q^{94} +(-12.5976 - 5.80572i) q^{95} +(1.75092 - 1.01089i) q^{96} +(6.63103 - 6.63103i) q^{97} +(-6.69778 - 2.03464i) q^{98} -4.39398i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 12q^{5} + 8q^{7} + O(q^{10}) \) \( 16q - 12q^{5} + 8q^{7} - 12q^{10} - 12q^{11} + 16q^{15} + 8q^{16} - 36q^{17} - 8q^{18} - 28q^{21} - 8q^{22} - 4q^{23} + 12q^{25} + 12q^{26} + 4q^{28} + 20q^{30} + 24q^{31} + 48q^{33} + 8q^{35} - 8q^{36} + 4q^{37} + 24q^{38} + 36q^{42} - 8q^{43} - 12q^{45} - 8q^{46} + 12q^{47} - 32q^{50} - 16q^{51} - 28q^{53} - 4q^{56} + 8q^{57} - 32q^{58} + 8q^{60} - 12q^{61} - 36q^{63} - 8q^{65} + 32q^{67} - 36q^{68} - 12q^{70} + 16q^{71} - 8q^{72} - 12q^{73} - 48q^{75} + 16q^{77} + 16q^{78} - 12q^{80} - 48q^{82} + 24q^{85} + 12q^{86} - 24q^{87} - 4q^{88} - 16q^{91} + 8q^{92} + 28q^{93} + 20q^{95} + 12q^{96} + 40q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/70\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(57\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 0.965926i 0.183013 0.683013i
\(3\) 1.95290 0.523277i 1.12751 0.302114i 0.353588 0.935401i \(-0.384961\pi\)
0.773917 + 0.633287i \(0.218295\pi\)
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −1.82591 + 1.29076i −0.816571 + 0.577245i
\(6\) 2.02179i 0.825391i
\(7\) −1.90155 + 1.83959i −0.718719 + 0.695300i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 0.941911 0.543813i 0.313970 0.181271i
\(10\) 0.774197 + 2.09777i 0.244822 + 0.663372i
\(11\) 2.01999 3.49872i 0.609049 1.05490i −0.382349 0.924018i \(-0.624885\pi\)
0.991397 0.130886i \(-0.0417820\pi\)
\(12\) −1.95290 0.523277i −0.563753 0.151057i
\(13\) −0.204875 0.204875i −0.0568221 0.0568221i 0.678125 0.734947i \(-0.262793\pi\)
−0.734947 + 0.678125i \(0.762793\pi\)
\(14\) 1.28475 + 2.31288i 0.343364 + 0.618143i
\(15\) −2.89039 + 3.47617i −0.746295 + 0.897544i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −0.527924 1.97024i −0.128040 0.477853i 0.871890 0.489703i \(-0.162895\pi\)
−0.999930 + 0.0118498i \(0.996228\pi\)
\(18\) −0.281498 1.05057i −0.0663498 0.247621i
\(19\) 3.10166 + 5.37224i 0.711571 + 1.23248i 0.964267 + 0.264931i \(0.0853491\pi\)
−0.252697 + 0.967545i \(0.581318\pi\)
\(20\) 2.22666 0.204875i 0.497897 0.0458114i
\(21\) −2.75092 + 4.58757i −0.600300 + 1.00109i
\(22\) −2.85669 2.85669i −0.609049 0.609049i
\(23\) −4.38350 1.17456i −0.914023 0.244912i −0.228994 0.973428i \(-0.573544\pi\)
−0.685029 + 0.728516i \(0.740210\pi\)
\(24\) −1.01089 + 1.75092i −0.206348 + 0.357405i
\(25\) 1.66789 4.71361i 0.333577 0.942723i
\(26\) −0.250919 + 0.144868i −0.0492094 + 0.0284110i
\(27\) −2.73397 + 2.73397i −0.526152 + 0.526152i
\(28\) 2.56659 0.642357i 0.485040 0.121394i
\(29\) 7.15869i 1.32934i −0.747139 0.664668i \(-0.768573\pi\)
0.747139 0.664668i \(-0.231427\pi\)
\(30\) 2.60964 + 3.69160i 0.476453 + 0.673991i
\(31\) 6.33287 + 3.65628i 1.13742 + 0.656688i 0.945790 0.324780i \(-0.105290\pi\)
0.191627 + 0.981468i \(0.438624\pi\)
\(32\) 0.965926 0.258819i 0.170753 0.0457532i
\(33\) 2.11403 7.88965i 0.368005 1.37341i
\(34\) −2.03974 −0.349813
\(35\) 1.09759 5.81337i 0.185527 0.982639i
\(36\) −1.08763 −0.181271
\(37\) 1.19723 4.46814i 0.196824 0.734558i −0.794963 0.606658i \(-0.792510\pi\)
0.991787 0.127900i \(-0.0408236\pi\)
\(38\) 5.99195 1.60554i 0.972023 0.260453i
\(39\) −0.507306 0.292893i −0.0812340 0.0469005i
\(40\) 0.378409 2.20382i 0.0598317 0.348454i
\(41\) 2.58745i 0.404093i −0.979376 0.202046i \(-0.935241\pi\)
0.979376 0.202046i \(-0.0647591\pi\)
\(42\) 3.71926 + 3.84454i 0.573895 + 0.593225i
\(43\) −4.97801 + 4.97801i −0.759140 + 0.759140i −0.976166 0.217026i \(-0.930364\pi\)
0.217026 + 0.976166i \(0.430364\pi\)
\(44\) −3.49872 + 2.01999i −0.527452 + 0.304524i
\(45\) −1.01791 + 2.20873i −0.151742 + 0.329258i
\(46\) −2.26907 + 3.93014i −0.334556 + 0.579468i
\(47\) −0.304388 0.0815604i −0.0443995 0.0118968i 0.236551 0.971619i \(-0.423983\pi\)
−0.280950 + 0.959722i \(0.590650\pi\)
\(48\) 1.42962 + 1.42962i 0.206348 + 0.206348i
\(49\) 0.231803 6.99616i 0.0331148 0.999452i
\(50\) −4.12132 2.83103i −0.582843 0.400368i
\(51\) −2.06196 3.57142i −0.288732 0.500099i
\(52\) 0.0749894 + 0.279864i 0.0103992 + 0.0388102i
\(53\) 2.14370 + 8.00039i 0.294460 + 1.09894i 0.941646 + 0.336606i \(0.109279\pi\)
−0.647186 + 0.762332i \(0.724054\pi\)
\(54\) 1.93321 + 3.34841i 0.263076 + 0.455661i
\(55\) 0.827689 + 8.99566i 0.111606 + 1.21297i
\(56\) 0.0438127 2.64539i 0.00585472 0.353505i
\(57\) 8.86840 + 8.86840i 1.17465 + 1.17465i
\(58\) −6.91477 1.85281i −0.907953 0.243285i
\(59\) −0.427702 + 0.740802i −0.0556821 + 0.0964442i −0.892523 0.451002i \(-0.851067\pi\)
0.836841 + 0.547446i \(0.184400\pi\)
\(60\) 4.24124 1.56526i 0.547541 0.202074i
\(61\) −5.99356 + 3.46038i −0.767397 + 0.443057i −0.831945 0.554858i \(-0.812773\pi\)
0.0645484 + 0.997915i \(0.479439\pi\)
\(62\) 5.17076 5.17076i 0.656688 0.656688i
\(63\) −0.790700 + 2.76682i −0.0996189 + 0.348587i
\(64\) 1.00000i 0.125000i
\(65\) 0.638527 + 0.109639i 0.0791995 + 0.0135990i
\(66\) −7.07367 4.08398i −0.870708 0.502704i
\(67\) 3.05106 0.817530i 0.372747 0.0998772i −0.0675822 0.997714i \(-0.521528\pi\)
0.440329 + 0.897837i \(0.354862\pi\)
\(68\) −0.527924 + 1.97024i −0.0640201 + 0.238926i
\(69\) −9.17514 −1.10456
\(70\) −5.33121 2.56480i −0.637201 0.306553i
\(71\) 7.12240 0.845273 0.422637 0.906299i \(-0.361105\pi\)
0.422637 + 0.906299i \(0.361105\pi\)
\(72\) −0.281498 + 1.05057i −0.0331749 + 0.123810i
\(73\) −11.1331 + 2.98311i −1.30303 + 0.349147i −0.842597 0.538545i \(-0.818974\pi\)
−0.460438 + 0.887692i \(0.652307\pi\)
\(74\) −4.00603 2.31288i −0.465691 0.268867i
\(75\) 0.790684 10.0780i 0.0913004 1.16370i
\(76\) 6.20333i 0.711571i
\(77\) 2.59511 + 10.3690i 0.295740 + 1.18165i
\(78\) −0.414214 + 0.414214i −0.0469005 + 0.0469005i
\(79\) 4.39618 2.53813i 0.494609 0.285562i −0.231876 0.972745i \(-0.574486\pi\)
0.726484 + 0.687183i \(0.241153\pi\)
\(80\) −2.03078 0.935904i −0.227049 0.104637i
\(81\) −5.53997 + 9.59552i −0.615553 + 1.06617i
\(82\) −2.49929 0.669683i −0.276000 0.0739541i
\(83\) 3.85372 + 3.85372i 0.423001 + 0.423001i 0.886236 0.463235i \(-0.153311\pi\)
−0.463235 + 0.886236i \(0.653311\pi\)
\(84\) 4.67615 2.59749i 0.510210 0.283410i
\(85\) 3.50704 + 2.91605i 0.380392 + 0.316290i
\(86\) 3.51999 + 6.09680i 0.379570 + 0.657434i
\(87\) −3.74598 13.9802i −0.401611 1.49883i
\(88\) 1.04562 + 3.90231i 0.111464 + 0.415988i
\(89\) 1.53615 + 2.66069i 0.162832 + 0.282033i 0.935883 0.352310i \(-0.114604\pi\)
−0.773051 + 0.634343i \(0.781271\pi\)
\(90\) 1.87002 + 1.55489i 0.197117 + 0.163900i
\(91\) 0.766467 + 0.0126942i 0.0803475 + 0.00133071i
\(92\) 3.20895 + 3.20895i 0.334556 + 0.334556i
\(93\) 14.2807 + 3.82650i 1.48084 + 0.396789i
\(94\) −0.157563 + 0.272906i −0.0162513 + 0.0281481i
\(95\) −12.5976 5.80572i −1.29249 0.595655i
\(96\) 1.75092 1.01089i 0.178702 0.103174i
\(97\) 6.63103 6.63103i 0.673279 0.673279i −0.285191 0.958471i \(-0.592057\pi\)
0.958471 + 0.285191i \(0.0920572\pi\)
\(98\) −6.69778 2.03464i −0.676578 0.205530i
\(99\) 4.39398i 0.441611i
\(100\) −3.80124 + 3.24817i −0.380124 + 0.324817i
\(101\) −8.56364 4.94422i −0.852114 0.491968i 0.00924966 0.999957i \(-0.497056\pi\)
−0.861364 + 0.507989i \(0.830389\pi\)
\(102\) −3.98340 + 1.06735i −0.394416 + 0.105683i
\(103\) 1.10827 4.13612i 0.109201 0.407544i −0.889587 0.456766i \(-0.849008\pi\)
0.998788 + 0.0492221i \(0.0156742\pi\)
\(104\) 0.289737 0.0284110
\(105\) −0.898518 11.9273i −0.0876864 1.16398i
\(106\) 8.28261 0.804479
\(107\) −3.84918 + 14.3653i −0.372114 + 1.38875i 0.485402 + 0.874291i \(0.338673\pi\)
−0.857516 + 0.514457i \(0.827993\pi\)
\(108\) 3.73467 1.00070i 0.359369 0.0962926i
\(109\) 11.4586 + 6.61564i 1.09754 + 0.633664i 0.935573 0.353133i \(-0.114884\pi\)
0.161964 + 0.986797i \(0.448217\pi\)
\(110\) 8.90336 + 1.52876i 0.848902 + 0.145762i
\(111\) 9.35230i 0.887681i
\(112\) −2.54391 0.726997i −0.240377 0.0686947i
\(113\) 9.75336 9.75336i 0.917519 0.917519i −0.0793296 0.996848i \(-0.525278\pi\)
0.996848 + 0.0793296i \(0.0252780\pi\)
\(114\) 10.8615 6.27091i 1.01728 0.587324i
\(115\) 9.51994 3.51341i 0.887739 0.327627i
\(116\) −3.57935 + 6.19961i −0.332334 + 0.575619i
\(117\) −0.304388 0.0815604i −0.0281406 0.00754026i
\(118\) 0.604862 + 0.604862i 0.0556821 + 0.0556821i
\(119\) 4.62831 + 2.77535i 0.424276 + 0.254416i
\(120\) −0.414214 4.50184i −0.0378124 0.410960i
\(121\) −2.66069 4.60846i −0.241881 0.418951i
\(122\) 1.79123 + 6.68495i 0.162170 + 0.605227i
\(123\) −1.35396 5.05303i −0.122082 0.455617i
\(124\) −3.65628 6.33287i −0.328344 0.568708i
\(125\) 3.03873 + 10.7595i 0.271792 + 0.962356i
\(126\) 2.46790 + 1.47986i 0.219858 + 0.131837i
\(127\) −2.19984 2.19984i −0.195204 0.195204i 0.602736 0.797940i \(-0.294077\pi\)
−0.797940 + 0.602736i \(0.794077\pi\)
\(128\) −0.965926 0.258819i −0.0853766 0.0228766i
\(129\) −7.11667 + 12.3264i −0.626587 + 1.08528i
\(130\) 0.271166 0.588393i 0.0237828 0.0516055i
\(131\) −6.32091 + 3.64938i −0.552260 + 0.318848i −0.750033 0.661400i \(-0.769963\pi\)
0.197773 + 0.980248i \(0.436629\pi\)
\(132\) −5.77563 + 5.77563i −0.502704 + 0.502704i
\(133\) −15.7807 4.50980i −1.36836 0.391049i
\(134\) 3.15869i 0.272870i
\(135\) 1.46309 8.52087i 0.125922 0.733360i
\(136\) 1.76647 + 1.01987i 0.151473 + 0.0874531i
\(137\) −6.93431 + 1.85804i −0.592438 + 0.158743i −0.542567 0.840012i \(-0.682548\pi\)
−0.0498710 + 0.998756i \(0.515881\pi\)
\(138\) −2.37470 + 8.86251i −0.202148 + 0.754427i
\(139\) −12.4172 −1.05321 −0.526605 0.850110i \(-0.676535\pi\)
−0.526605 + 0.850110i \(0.676535\pi\)
\(140\) −3.85723 + 4.48573i −0.325995 + 0.379113i
\(141\) −0.637116 −0.0536549
\(142\) 1.84341 6.87971i 0.154696 0.577332i
\(143\) −1.13064 + 0.302955i −0.0945492 + 0.0253344i
\(144\) 0.941911 + 0.543813i 0.0784926 + 0.0453177i
\(145\) 9.24014 + 13.0711i 0.767352 + 1.08550i
\(146\) 11.5259i 0.953887i
\(147\) −3.20824 13.7841i −0.264611 1.13689i
\(148\) −3.27091 + 3.27091i −0.268867 + 0.268867i
\(149\) −20.7399 + 11.9742i −1.69908 + 0.980963i −0.752440 + 0.658661i \(0.771123\pi\)
−0.946637 + 0.322302i \(0.895543\pi\)
\(150\) −9.52993 3.37211i −0.778115 0.275332i
\(151\) 1.77167 3.06862i 0.144176 0.249721i −0.784889 0.619636i \(-0.787280\pi\)
0.929065 + 0.369916i \(0.120613\pi\)
\(152\) −5.99195 1.60554i −0.486012 0.130226i
\(153\) −1.56870 1.56870i −0.126822 0.126822i
\(154\) 10.6873 + 0.177002i 0.861207 + 0.0142632i
\(155\) −16.2826 + 1.49816i −1.30785 + 0.120335i
\(156\) 0.292893 + 0.507306i 0.0234502 + 0.0406170i
\(157\) −1.58462 5.91389i −0.126467 0.471980i 0.873421 0.486966i \(-0.161896\pi\)
−0.999888 + 0.0149859i \(0.995230\pi\)
\(158\) −1.31384 4.90330i −0.104523 0.390086i
\(159\) 8.37284 + 14.5022i 0.664010 + 1.15010i
\(160\) −1.42962 + 1.71936i −0.113021 + 0.135927i
\(161\) 10.4962 5.83037i 0.827213 0.459498i
\(162\) 7.83471 + 7.83471i 0.615553 + 0.615553i
\(163\) 15.9937 + 4.28549i 1.25272 + 0.335666i 0.823387 0.567480i \(-0.192082\pi\)
0.429334 + 0.903146i \(0.358748\pi\)
\(164\) −1.29373 + 2.24080i −0.101023 + 0.174977i
\(165\) 6.32361 + 17.1345i 0.492293 + 1.33392i
\(166\) 4.71983 2.72499i 0.366329 0.211500i
\(167\) 10.2873 10.2873i 0.796056 0.796056i −0.186415 0.982471i \(-0.559687\pi\)
0.982471 + 0.186415i \(0.0596869\pi\)
\(168\) −1.29871 5.18910i −0.100198 0.400348i
\(169\) 12.9161i 0.993543i
\(170\) 3.72438 2.63281i 0.285647 0.201927i
\(171\) 5.84298 + 3.37345i 0.446824 + 0.257974i
\(172\) 6.80009 1.82208i 0.518502 0.138932i
\(173\) 2.01155 7.50720i 0.152935 0.570762i −0.846338 0.532646i \(-0.821198\pi\)
0.999273 0.0381159i \(-0.0121356\pi\)
\(174\) −14.4734 −1.09722
\(175\) 5.49955 + 12.0314i 0.415727 + 0.909489i
\(176\) 4.03997 0.304524
\(177\) −0.447613 + 1.67052i −0.0336447 + 0.125564i
\(178\) 2.96762 0.795171i 0.222432 0.0596006i
\(179\) −3.34695 1.93236i −0.250163 0.144431i 0.369676 0.929161i \(-0.379469\pi\)
−0.619839 + 0.784729i \(0.712802\pi\)
\(180\) 1.98590 1.40386i 0.148021 0.104638i
\(181\) 6.99107i 0.519642i 0.965657 + 0.259821i \(0.0836636\pi\)
−0.965657 + 0.259821i \(0.916336\pi\)
\(182\) 0.210638 0.737064i 0.0156135 0.0546348i
\(183\) −9.89407 + 9.89407i −0.731390 + 0.731390i
\(184\) 3.93014 2.26907i 0.289734 0.167278i
\(185\) 3.58125 + 9.70376i 0.263299 + 0.713435i
\(186\) 7.39223 12.8037i 0.542024 0.938814i
\(187\) −7.95971 2.13280i −0.582071 0.155966i
\(188\) 0.222827 + 0.222827i 0.0162513 + 0.0162513i
\(189\) 0.169398 10.2282i 0.0123219 0.743990i
\(190\) −8.86840 + 10.6657i −0.643381 + 0.773774i
\(191\) −2.23721 3.87496i −0.161879 0.280383i 0.773664 0.633597i \(-0.218422\pi\)
−0.935543 + 0.353214i \(0.885089\pi\)
\(192\) −0.523277 1.95290i −0.0377643 0.140938i
\(193\) −5.19573 19.3907i −0.373997 1.39577i −0.854805 0.518949i \(-0.826324\pi\)
0.480809 0.876825i \(-0.340343\pi\)
\(194\) −4.68885 8.12132i −0.336640 0.583077i
\(195\) 1.30435 0.120013i 0.0934064 0.00859431i
\(196\) −3.69883 + 5.94295i −0.264202 + 0.424497i
\(197\) −7.84901 7.84901i −0.559219 0.559219i 0.369866 0.929085i \(-0.379404\pi\)
−0.929085 + 0.369866i \(0.879404\pi\)
\(198\) −4.24426 1.13725i −0.301626 0.0808205i
\(199\) 5.40103 9.35485i 0.382869 0.663148i −0.608602 0.793475i \(-0.708270\pi\)
0.991471 + 0.130327i \(0.0416028\pi\)
\(200\) 2.15365 + 4.51240i 0.152286 + 0.319075i
\(201\) 5.53062 3.19310i 0.390100 0.225224i
\(202\) −6.99218 + 6.99218i −0.491968 + 0.491968i
\(203\) 13.1691 + 13.6126i 0.924288 + 0.955419i
\(204\) 4.12392i 0.288732i
\(205\) 3.33978 + 4.72446i 0.233260 + 0.329970i
\(206\) −3.70835 2.14101i −0.258373 0.149172i
\(207\) −4.76761 + 1.27748i −0.331372 + 0.0887908i
\(208\) 0.0749894 0.279864i 0.00519958 0.0194051i
\(209\) 25.0613 1.73353
\(210\) −11.7534 2.21910i −0.811062 0.153132i
\(211\) 7.56555 0.520834 0.260417 0.965496i \(-0.416140\pi\)
0.260417 + 0.965496i \(0.416140\pi\)
\(212\) 2.14370 8.00039i 0.147230 0.549469i
\(213\) 13.9093 3.72699i 0.953050 0.255369i
\(214\) 12.8796 + 7.43604i 0.880431 + 0.508317i
\(215\) 2.66399 15.5148i 0.181682 1.05810i
\(216\) 3.86642i 0.263076i
\(217\) −18.7683 + 4.69728i −1.27408 + 0.318872i
\(218\) 9.35593 9.35593i 0.633664 0.633664i
\(219\) −20.1809 + 11.6514i −1.36370 + 0.787330i
\(220\) 3.78103 8.20431i 0.254917 0.553135i
\(221\) −0.295494 + 0.511811i −0.0198771 + 0.0344281i
\(222\) −9.03363 2.42055i −0.606298 0.162457i
\(223\) −9.35230 9.35230i −0.626277 0.626277i 0.320853 0.947129i \(-0.396031\pi\)
−0.947129 + 0.320853i \(0.896031\pi\)
\(224\) −1.36064 + 2.26907i −0.0909114 + 0.151608i
\(225\) −0.992322 5.34682i −0.0661548 0.356455i
\(226\) −6.89667 11.9454i −0.458759 0.794595i
\(227\) 4.19127 + 15.6420i 0.278184 + 1.03820i 0.953677 + 0.300832i \(0.0972643\pi\)
−0.675493 + 0.737367i \(0.736069\pi\)
\(228\) −3.24606 12.1145i −0.214976 0.802300i
\(229\) −5.88820 10.1987i −0.389103 0.673947i 0.603226 0.797570i \(-0.293882\pi\)
−0.992329 + 0.123624i \(0.960548\pi\)
\(230\) −0.929750 10.1049i −0.0613059 0.666297i
\(231\) 10.4938 + 18.8915i 0.690442 + 1.24297i
\(232\) 5.06196 + 5.06196i 0.332334 + 0.332334i
\(233\) 5.52920 + 1.48154i 0.362230 + 0.0970591i 0.435343 0.900264i \(-0.356627\pi\)
−0.0731138 + 0.997324i \(0.523294\pi\)
\(234\) −0.157563 + 0.272906i −0.0103002 + 0.0178405i
\(235\) 0.661059 0.243969i 0.0431227 0.0159148i
\(236\) 0.740802 0.427702i 0.0482221 0.0278410i
\(237\) 7.25713 7.25713i 0.471402 0.471402i
\(238\) 3.87867 3.75229i 0.251417 0.243225i
\(239\) 8.33794i 0.539337i 0.962953 + 0.269668i \(0.0869141\pi\)
−0.962953 + 0.269668i \(0.913086\pi\)
\(240\) −4.45565 0.765062i −0.287611 0.0493845i
\(241\) 2.56723 + 1.48219i 0.165370 + 0.0954763i 0.580401 0.814331i \(-0.302896\pi\)
−0.415031 + 0.909807i \(0.636229\pi\)
\(242\) −5.14006 + 1.37728i −0.330416 + 0.0885347i
\(243\) −2.79578 + 10.4340i −0.179349 + 0.669340i
\(244\) 6.92077 0.443057
\(245\) 8.60710 + 13.0736i 0.549887 + 0.835239i
\(246\) −5.23128 −0.333535
\(247\) 0.465184 1.73609i 0.0295989 0.110465i
\(248\) −7.06340 + 1.89263i −0.448526 + 0.120182i
\(249\) 9.54248 + 5.50936i 0.604730 + 0.349141i
\(250\) 11.1793 0.150429i 0.707043 0.00951396i
\(251\) 16.1800i 1.02127i −0.859796 0.510637i \(-0.829410\pi\)
0.859796 0.510637i \(-0.170590\pi\)
\(252\) 2.06818 2.00079i 0.130283 0.126038i
\(253\) −12.9641 + 12.9641i −0.815043 + 0.815043i
\(254\) −2.69424 + 1.55552i −0.169052 + 0.0976020i
\(255\) 8.37479 + 3.85960i 0.524450 + 0.241697i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −5.62621 1.50754i −0.350954 0.0940377i 0.0790355 0.996872i \(-0.474816\pi\)
−0.429989 + 0.902834i \(0.641483\pi\)
\(258\) 10.0645 + 10.0645i 0.626587 + 0.626587i
\(259\) 5.94295 + 10.6988i 0.369277 + 0.664793i
\(260\) −0.498161 0.414214i −0.0308946 0.0256884i
\(261\) −3.89299 6.74285i −0.240970 0.417372i
\(262\) 1.88906 + 7.05006i 0.116706 + 0.435554i
\(263\) 0.449601 + 1.67793i 0.0277236 + 0.103466i 0.978401 0.206715i \(-0.0662772\pi\)
−0.950678 + 0.310180i \(0.899611\pi\)
\(264\) 4.08398 + 7.07367i 0.251352 + 0.435354i
\(265\) −14.2408 11.8410i −0.874803 0.727386i
\(266\) −8.44048 + 14.0758i −0.517519 + 0.863041i
\(267\) 4.39223 + 4.39223i 0.268800 + 0.268800i
\(268\) −3.05106 0.817530i −0.186373 0.0499386i
\(269\) 1.89169 3.27650i 0.115338 0.199772i −0.802577 0.596549i \(-0.796538\pi\)
0.917915 + 0.396777i \(0.129872\pi\)
\(270\) −7.85185 3.61860i −0.477849 0.220221i
\(271\) −18.4029 + 10.6249i −1.11789 + 0.645416i −0.940862 0.338789i \(-0.889983\pi\)
−0.177032 + 0.984205i \(0.556649\pi\)
\(272\) 1.44231 1.44231i 0.0874531 0.0874531i
\(273\) 1.50347 0.376284i 0.0909943 0.0227737i
\(274\) 7.17893i 0.433695i
\(275\) −13.1225 15.3569i −0.791317 0.926056i
\(276\) 7.94591 + 4.58757i 0.478287 + 0.276139i
\(277\) 4.72353 1.26567i 0.283810 0.0760465i −0.114106 0.993469i \(-0.536400\pi\)
0.397916 + 0.917422i \(0.369734\pi\)
\(278\) −3.21380 + 11.9941i −0.192751 + 0.719356i
\(279\) 7.95333 0.476153
\(280\) 3.33456 + 4.88679i 0.199278 + 0.292042i
\(281\) −29.4776 −1.75849 −0.879243 0.476373i \(-0.841951\pi\)
−0.879243 + 0.476373i \(0.841951\pi\)
\(282\) −0.164898 + 0.615407i −0.00981952 + 0.0366470i
\(283\) −10.8991 + 2.92041i −0.647886 + 0.173601i −0.567773 0.823185i \(-0.692195\pi\)
−0.0801133 + 0.996786i \(0.525528\pi\)
\(284\) −6.16818 3.56120i −0.366014 0.211318i
\(285\) −27.6399 4.74593i −1.63724 0.281125i
\(286\) 1.17053i 0.0692148i
\(287\) 4.75986 + 4.92018i 0.280966 + 0.290429i
\(288\) 0.769067 0.769067i 0.0453177 0.0453177i
\(289\) 11.1193 6.41973i 0.654076 0.377631i
\(290\) 15.0173 5.54224i 0.881844 0.325451i
\(291\) 9.47985 16.4196i 0.555719 0.962533i
\(292\) 11.1331 + 2.98311i 0.651517 + 0.174573i
\(293\) 7.23407 + 7.23407i 0.422619 + 0.422619i 0.886105 0.463485i \(-0.153401\pi\)
−0.463485 + 0.886105i \(0.653401\pi\)
\(294\) −14.1448 0.468657i −0.824939 0.0273326i
\(295\) −0.175251 1.90470i −0.0102035 0.110896i
\(296\) 2.31288 + 4.00603i 0.134433 + 0.232846i
\(297\) 4.04281 + 15.0880i 0.234588 + 0.875493i
\(298\) 6.19829 + 23.1323i 0.359057 + 1.34002i
\(299\) 0.657432 + 1.13871i 0.0380203 + 0.0658531i
\(300\) −5.72374 + 8.33243i −0.330460 + 0.481073i
\(301\) 0.308440 18.6235i 0.0177782 1.07344i
\(302\) −2.50552 2.50552i −0.144176 0.144176i
\(303\) −19.3111 5.17439i −1.10939 0.297261i
\(304\) −3.10166 + 5.37224i −0.177893 + 0.308119i
\(305\) 6.47718 14.0546i 0.370882 0.804763i
\(306\) −1.92125 + 1.10924i −0.109831 + 0.0634108i
\(307\) 1.07859 1.07859i 0.0615584 0.0615584i −0.675657 0.737216i \(-0.736140\pi\)
0.737216 + 0.675657i \(0.236140\pi\)
\(308\) 2.93705 10.2773i 0.167354 0.585605i
\(309\) 8.65735i 0.492500i
\(310\) −2.76714 + 16.1156i −0.157163 + 0.915302i
\(311\) −8.33830 4.81412i −0.472821 0.272984i 0.244599 0.969624i \(-0.421344\pi\)
−0.717420 + 0.696641i \(0.754677\pi\)
\(312\) 0.565826 0.151613i 0.0320336 0.00858338i
\(313\) 0.783378 2.92361i 0.0442791 0.165252i −0.940246 0.340496i \(-0.889405\pi\)
0.984525 + 0.175244i \(0.0560716\pi\)
\(314\) −6.12251 −0.345513
\(315\) −2.12755 6.07257i −0.119874 0.342150i
\(316\) −5.07627 −0.285562
\(317\) 0.504353 1.88227i 0.0283273 0.105719i −0.950315 0.311291i \(-0.899239\pi\)
0.978642 + 0.205572i \(0.0659054\pi\)
\(318\) 16.1751 4.33410i 0.907054 0.243044i
\(319\) −25.0463 14.4605i −1.40232 0.809631i
\(320\) 1.29076 + 1.82591i 0.0721556 + 0.102071i
\(321\) 30.0682i 1.67824i
\(322\) −2.91510 11.6475i −0.162452 0.649091i
\(323\) 8.94715 8.94715i 0.497833 0.497833i
\(324\) 9.59552 5.53997i 0.533084 0.307776i
\(325\) −1.30741 + 0.623993i −0.0725220 + 0.0346129i
\(326\) 8.27894 14.3395i 0.458528 0.794194i
\(327\) 25.8393 + 6.92363i 1.42892 + 0.382878i
\(328\) 1.82961 + 1.82961i 0.101023 + 0.101023i
\(329\) 0.728847 0.404858i 0.0401826 0.0223205i
\(330\) 18.1873 1.67341i 1.00118 0.0921183i
\(331\) 14.4468 + 25.0225i 0.794066 + 1.37536i 0.923431 + 0.383765i \(0.125373\pi\)
−0.129365 + 0.991597i \(0.541294\pi\)
\(332\) −1.41056 5.26428i −0.0774145 0.288915i
\(333\) −1.30214 4.85966i −0.0713570 0.266308i
\(334\) −7.27423 12.5993i −0.398028 0.689405i
\(335\) −4.51573 + 5.43092i −0.246721 + 0.296723i
\(336\) −5.34841 0.0885800i −0.291780 0.00483244i
\(337\) −0.823226 0.823226i −0.0448440 0.0448440i 0.684329 0.729173i \(-0.260095\pi\)
−0.729173 + 0.684329i \(0.760095\pi\)
\(338\) −12.4759 3.34292i −0.678602 0.181831i
\(339\) 13.9436 24.1510i 0.757312 1.31170i
\(340\) −1.57916 4.27890i −0.0856420 0.232056i
\(341\) 25.5846 14.7713i 1.38548 0.799910i
\(342\) 4.77078 4.77078i 0.257974 0.257974i
\(343\) 12.4293 + 13.7300i 0.671119 + 0.741350i
\(344\) 7.03997i 0.379570i
\(345\) 16.7530 11.8429i 0.901950 0.637600i
\(346\) −6.73077 3.88601i −0.361849 0.208913i
\(347\) 16.1350 4.32336i 0.866172 0.232090i 0.201740 0.979439i \(-0.435340\pi\)
0.664432 + 0.747349i \(0.268674\pi\)
\(348\) −3.74598 + 13.9802i −0.200806 + 0.749417i
\(349\) −36.7146 −1.96529 −0.982644 0.185503i \(-0.940608\pi\)
−0.982644 + 0.185503i \(0.940608\pi\)
\(350\) 13.0448 2.19820i 0.697276 0.117499i
\(351\) 1.12024 0.0597942
\(352\) 1.04562 3.90231i 0.0557318 0.207994i
\(353\) −13.7845 + 3.69356i −0.733677 + 0.196588i −0.606266 0.795262i \(-0.707333\pi\)
−0.127411 + 0.991850i \(0.540667\pi\)
\(354\) 1.49774 + 0.864723i 0.0796042 + 0.0459595i
\(355\) −13.0048 + 9.19329i −0.690226 + 0.487929i
\(356\) 3.07230i 0.162832i
\(357\) 10.4909 + 2.99808i 0.555236 + 0.158675i
\(358\) −2.73277 + 2.73277i −0.144431 + 0.144431i
\(359\) 23.4596 13.5444i 1.23815 0.714847i 0.269435 0.963019i \(-0.413163\pi\)
0.968716 + 0.248172i \(0.0798298\pi\)
\(360\) −0.842036 2.28158i −0.0443792 0.120250i
\(361\) −9.74064 + 16.8713i −0.512665 + 0.887962i
\(362\) 6.75285 + 1.80942i 0.354922 + 0.0951011i
\(363\) −7.60756 7.60756i −0.399293 0.399293i
\(364\) −0.657432 0.394227i −0.0344588 0.0206631i
\(365\) 16.4776 19.8171i 0.862477 1.03727i
\(366\) 6.99616 + 12.1177i 0.365695 + 0.633403i
\(367\) 5.86782 + 21.8990i 0.306298 + 1.14312i 0.931823 + 0.362914i \(0.118218\pi\)
−0.625525 + 0.780204i \(0.715115\pi\)
\(368\) −1.17456 4.38350i −0.0612279 0.228506i
\(369\) −1.40709 2.43715i −0.0732502 0.126873i
\(370\) 10.3000 0.947702i 0.535472 0.0492687i
\(371\) −18.7938 11.2696i −0.975726 0.585090i
\(372\) −10.4542 10.4542i −0.542024 0.542024i
\(373\) 12.3984 + 3.32215i 0.641966 + 0.172014i 0.565094 0.825027i \(-0.308840\pi\)
0.0768720 + 0.997041i \(0.475507\pi\)
\(374\) −4.12025 + 7.13648i −0.213053 + 0.369019i
\(375\) 11.5645 + 19.4220i 0.597188 + 1.00295i
\(376\) 0.272906 0.157563i 0.0140741 0.00812567i
\(377\) −1.46664 + 1.46664i −0.0755356 + 0.0755356i
\(378\) −9.83581 2.81087i −0.505900 0.144576i
\(379\) 14.4739i 0.743476i 0.928338 + 0.371738i \(0.121238\pi\)
−0.928338 + 0.371738i \(0.878762\pi\)
\(380\) 8.00700 + 11.3267i 0.410750 + 0.581048i
\(381\) −5.44718 3.14493i −0.279068 0.161120i
\(382\) −4.32196 + 1.15807i −0.221131 + 0.0592518i
\(383\) 0.453341 1.69189i 0.0231647 0.0864517i −0.953376 0.301786i \(-0.902417\pi\)
0.976540 + 0.215334i \(0.0690840\pi\)
\(384\) −2.02179 −0.103174
\(385\) −18.1222 15.5831i −0.923595 0.794189i
\(386\) −20.0747 −1.02178
\(387\) −1.98174 + 7.39595i −0.100737 + 0.375957i
\(388\) −9.05816 + 2.42713i −0.459858 + 0.123219i
\(389\) 2.40954 + 1.39115i 0.122169 + 0.0705341i 0.559839 0.828601i \(-0.310863\pi\)
−0.437670 + 0.899135i \(0.644196\pi\)
\(390\) 0.221667 1.29097i 0.0112245 0.0653706i
\(391\) 9.25661i 0.468127i
\(392\) 4.78312 + 5.11094i 0.241584 + 0.258142i
\(393\) −10.4344 + 10.4344i −0.526348 + 0.526348i
\(394\) −9.61304 + 5.55009i −0.484298 + 0.279610i
\(395\) −4.75090 + 10.3088i −0.239044 + 0.518692i
\(396\) −2.19699 + 3.80530i −0.110403 + 0.191223i
\(397\) 38.3163 + 10.2668i 1.92304 + 0.515277i 0.986212 + 0.165486i \(0.0529193\pi\)
0.936828 + 0.349791i \(0.113747\pi\)
\(398\) −7.63821 7.63821i −0.382869 0.382869i
\(399\) −33.1780 0.549491i −1.66098 0.0275089i
\(400\) 4.91605 0.912375i 0.245803 0.0456187i
\(401\) 9.98528 + 17.2950i 0.498641 + 0.863672i 0.999999 0.00156835i \(-0.000499221\pi\)
−0.501358 + 0.865240i \(0.667166\pi\)
\(402\) −1.65287 6.16860i −0.0824378 0.307662i
\(403\) −0.548365 2.04653i −0.0273160 0.101945i
\(404\) 4.94422 + 8.56364i 0.245984 + 0.426057i
\(405\) −2.27000 24.6713i −0.112797 1.22593i
\(406\) 16.5572 9.19714i 0.821720 0.456446i
\(407\) −13.2144 13.2144i −0.655012 0.655012i
\(408\) 3.98340 + 1.06735i 0.197208 + 0.0528417i
\(409\) 7.65280 13.2550i 0.378407 0.655419i −0.612424 0.790529i \(-0.709805\pi\)
0.990831 + 0.135110i \(0.0431388\pi\)
\(410\) 5.42787 2.00320i 0.268064 0.0989309i
\(411\) −12.5697 + 7.25713i −0.620019 + 0.357968i
\(412\) −3.02785 + 3.02785i −0.149172 + 0.149172i
\(413\) −0.549475 2.19547i −0.0270379 0.108032i
\(414\) 4.93579i 0.242581i
\(415\) −12.0108 2.06232i −0.589585 0.101235i
\(416\) −0.250919 0.144868i −0.0123023 0.00710276i
\(417\) −24.2495 + 6.49762i −1.18750 + 0.318190i
\(418\) 6.48634 24.2073i 0.317257 1.18402i
\(419\) 27.7027 1.35337 0.676684 0.736274i \(-0.263416\pi\)
0.676684 + 0.736274i \(0.263416\pi\)
\(420\) −5.18549 + 10.7786i −0.253026 + 0.525940i
\(421\) 33.0159 1.60910 0.804549 0.593887i \(-0.202407\pi\)
0.804549 + 0.593887i \(0.202407\pi\)
\(422\) 1.95811 7.30776i 0.0953192 0.355736i
\(423\) −0.331060 + 0.0887072i −0.0160967 + 0.00431309i
\(424\) −7.17295 4.14131i −0.348349 0.201120i
\(425\) −10.1675 0.797705i −0.493194 0.0386944i
\(426\) 14.4000i 0.697681i
\(427\) 5.03138 17.6058i 0.243485 0.852005i
\(428\) 10.5161 10.5161i 0.508317 0.508317i
\(429\) −2.04950 + 1.18328i −0.0989509 + 0.0571293i
\(430\) −14.2967 6.58874i −0.689446 0.317737i
\(431\) −11.9586 + 20.7129i −0.576027 + 0.997708i 0.419902 + 0.907569i \(0.362064\pi\)
−0.995929 + 0.0901384i \(0.971269\pi\)
\(432\) −3.73467 1.00070i −0.179684 0.0481463i
\(433\) 13.2515 + 13.2515i 0.636829 + 0.636829i 0.949772 0.312943i \(-0.101315\pi\)
−0.312943 + 0.949772i \(0.601315\pi\)
\(434\) −0.320383 + 19.3446i −0.0153789 + 0.928569i
\(435\) 24.8849 + 20.6914i 1.19314 + 0.992077i
\(436\) −6.61564 11.4586i −0.316832 0.548769i
\(437\) −7.28615 27.1923i −0.348544 1.30078i
\(438\) 6.03122 + 22.5088i 0.288183 + 1.07551i
\(439\) 7.05383 + 12.2176i 0.336661 + 0.583114i 0.983802 0.179256i \(-0.0573690\pi\)
−0.647141 + 0.762370i \(0.724036\pi\)
\(440\) −6.94616 5.77563i −0.331145 0.275342i
\(441\) −3.58626 6.71582i −0.170774 0.319801i
\(442\) 0.417892 + 0.417892i 0.0198771 + 0.0198771i
\(443\) −20.3457 5.45161i −0.966652 0.259014i −0.259238 0.965813i \(-0.583472\pi\)
−0.707414 + 0.706800i \(0.750138\pi\)
\(444\) −4.67615 + 8.09933i −0.221920 + 0.384377i
\(445\) −6.23919 2.87538i −0.295766 0.136306i
\(446\) −11.4542 + 6.61308i −0.542371 + 0.313138i
\(447\) −34.2370 + 34.2370i −1.61936 + 1.61936i
\(448\) 1.83959 + 1.90155i 0.0869125 + 0.0898399i
\(449\) 31.3247i 1.47831i 0.673538 + 0.739153i \(0.264774\pi\)
−0.673538 + 0.739153i \(0.735226\pi\)
\(450\) −5.42147 0.425351i −0.255570 0.0200512i
\(451\) −9.05278 5.22662i −0.426279 0.246112i
\(452\) −13.3233 + 3.56998i −0.626677 + 0.167918i
\(453\) 1.85415 6.91977i 0.0871154 0.325119i
\(454\) 16.1938 0.760014
\(455\) −1.41588 + 0.966145i −0.0663776 + 0.0452936i
\(456\) −12.5418 −0.587324
\(457\) −0.740622 + 2.76404i −0.0346448 + 0.129296i −0.981082 0.193591i \(-0.937987\pi\)
0.946438 + 0.322887i \(0.104653\pi\)
\(458\) −11.3751 + 3.04796i −0.531525 + 0.142422i
\(459\) 6.82989 + 3.94324i 0.318792 + 0.184055i
\(460\) −10.0012 1.71727i −0.466309 0.0800681i
\(461\) 3.02674i 0.140969i 0.997513 + 0.0704846i \(0.0224546\pi\)
−0.997513 + 0.0704846i \(0.977545\pi\)
\(462\) 20.9638 5.24675i 0.975325 0.244101i
\(463\) 19.2889 19.2889i 0.896431 0.896431i −0.0986876 0.995118i \(-0.531464\pi\)
0.995118 + 0.0986876i \(0.0314644\pi\)
\(464\) 6.19961 3.57935i 0.287810 0.166167i
\(465\) −31.0143 + 11.4461i −1.43825 + 0.530799i
\(466\) 2.86212 4.95734i 0.132585 0.229644i
\(467\) −24.2727 6.50385i −1.12321 0.300962i −0.351026 0.936366i \(-0.614167\pi\)
−0.772180 + 0.635403i \(0.780834\pi\)
\(468\) 0.222827 + 0.222827i 0.0103002 + 0.0103002i
\(469\) −4.29784 + 7.16729i −0.198456 + 0.330955i
\(470\) −0.0645612 0.701677i −0.00297799 0.0323660i
\(471\) −6.18921 10.7200i −0.285184 0.493953i
\(472\) −0.221395 0.826257i −0.0101905 0.0380316i
\(473\) 7.36115 + 27.4722i 0.338466 + 1.26317i
\(474\) −5.13157 8.88814i −0.235701 0.408246i
\(475\) 30.4959 5.65976i 1.39925 0.259688i
\(476\) −2.62056 4.71767i −0.120113 0.216234i
\(477\) 6.36989 + 6.36989i 0.291657 + 0.291657i
\(478\) 8.05384 + 2.15802i 0.368374 + 0.0987055i
\(479\) 4.14346 7.17668i 0.189319 0.327911i −0.755704 0.654913i \(-0.772705\pi\)
0.945024 + 0.327002i \(0.106039\pi\)
\(480\) −1.89220 + 4.10581i −0.0863667 + 0.187404i
\(481\) −1.16069 + 0.670127i −0.0529231 + 0.0305551i
\(482\) 2.09613 2.09613i 0.0954763 0.0954763i
\(483\) 17.4470 16.8785i 0.793867 0.767999i
\(484\) 5.32139i 0.241881i
\(485\) −3.54860 + 20.6667i −0.161134 + 0.938427i
\(486\) 9.35485 + 5.40103i 0.424345 + 0.244996i
\(487\) −10.3144 + 2.76375i −0.467392 + 0.125237i −0.484826 0.874611i \(-0.661117\pi\)
0.0174340 + 0.999848i \(0.494450\pi\)
\(488\) 1.79123 6.68495i 0.0810850 0.302613i
\(489\) 33.4765 1.51386
\(490\) 14.8558 4.93014i 0.671115 0.222721i
\(491\) 25.7259 1.16100 0.580498 0.814262i \(-0.302858\pi\)
0.580498 + 0.814262i \(0.302858\pi\)
\(492\) −1.35396 + 5.05303i −0.0610411 + 0.227808i
\(493\) −14.1043 + 3.77924i −0.635227 + 0.170209i
\(494\) −1.55654 0.898666i −0.0700319 0.0404329i
\(495\) 5.67156 + 8.02300i 0.254918 + 0.360607i
\(496\) 7.31256i 0.328344i
\(497\) −13.5436 + 13.1023i −0.607514 + 0.587719i
\(498\) 7.79141 7.79141i 0.349141 0.349141i
\(499\) 12.6429 7.29940i 0.565975 0.326766i −0.189565 0.981868i \(-0.560708\pi\)
0.755540 + 0.655102i \(0.227374\pi\)
\(500\) 2.74812 10.8373i 0.122900 0.484660i
\(501\) 14.7069 25.4732i 0.657058 1.13806i
\(502\) −15.6287 4.18770i −0.697543 0.186906i
\(503\) −13.9891 13.9891i −0.623744 0.623744i 0.322743 0.946487i \(-0.395395\pi\)
−0.946487 + 0.322743i \(0.895395\pi\)
\(504\) −1.39733 2.51555i −0.0622419 0.112051i
\(505\) 22.0182 2.02589i 0.979798 0.0901510i
\(506\) 9.16697 + 15.8777i 0.407522 + 0.705848i
\(507\) −6.75868 25.2237i −0.300163 1.12022i
\(508\) 0.805197 + 3.00504i 0.0357248 + 0.133327i
\(509\) −1.42883 2.47481i −0.0633319 0.109694i 0.832621 0.553843i \(-0.186839\pi\)
−0.895953 + 0.444149i \(0.853506\pi\)
\(510\) 5.89564 7.09049i 0.261063 0.313972i
\(511\) 15.6825 26.1530i 0.693754 1.15694i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −23.1674 6.20768i −1.02287 0.274076i
\(514\) −2.91234 + 5.04433i −0.128458 + 0.222496i
\(515\) 3.31513 + 8.98269i 0.146082 + 0.395825i
\(516\) 12.3264 7.11667i 0.542641 0.313294i
\(517\) −0.900216 + 0.900216i −0.0395914 + 0.0395914i
\(518\) 11.8724 2.97139i 0.521644 0.130555i
\(519\) 15.7134i 0.689741i
\(520\) −0.529033 + 0.373980i −0.0231996 + 0.0164001i
\(521\) 24.7917 + 14.3135i 1.08614 + 0.627084i 0.932547 0.361049i \(-0.117581\pi\)
0.153595 + 0.988134i \(0.450915\pi\)
\(522\) −7.52068 + 2.01516i −0.329171 + 0.0882011i
\(523\) 8.17429 30.5069i 0.357437 1.33397i −0.519954 0.854195i \(-0.674051\pi\)
0.877390 0.479777i \(-0.159283\pi\)
\(524\) 7.29876 0.318848
\(525\) 17.0358 + 20.6183i 0.743504 + 0.899857i
\(526\) 1.73712 0.0757422
\(527\) 3.86048 14.4075i 0.168165 0.627600i
\(528\) 7.88965 2.11403i 0.343353 0.0920012i
\(529\) −2.08308 1.20267i −0.0905687 0.0522899i
\(530\) −15.1233 + 10.6909i −0.656914 + 0.464381i
\(531\) 0.930359i 0.0403742i
\(532\) 11.4116 + 11.7960i 0.494755 + 0.511419i
\(533\) −0.530105 + 0.530105i −0.0229614 + 0.0229614i
\(534\) 5.37936 3.10577i 0.232788 0.134400i
\(535\) −11.5139 31.1981i −0.497790 1.34881i
\(536\) −1.57935 + 2.73551i −0.0682174 + 0.118156i
\(537\) −7.54741 2.02232i −0.325695 0.0872696i
\(538\) −2.67525 2.67525i −0.115338 0.115338i
\(539\) −24.0094 14.9432i −1.03416 0.643648i
\(540\) −5.52750 + 6.64775i −0.237866 + 0.286073i
\(541\) −18.4994 32.0420i −0.795353 1.37759i −0.922615 0.385722i \(-0.873952\pi\)
0.127262 0.991869i \(-0.459381\pi\)
\(542\) 5.49985 + 20.5257i 0.236239 + 0.881655i
\(543\) 3.65827 + 13.6528i 0.156991 + 0.585899i
\(544\) −1.01987 1.76647i −0.0437266 0.0757366i
\(545\) −29.4616 + 2.71076i −1.26200 + 0.116116i
\(546\) 0.0256649 1.54963i 0.00109836 0.0663182i
\(547\) −20.0765 20.0765i −0.858409 0.858409i 0.132742 0.991151i \(-0.457622\pi\)
−0.991151 + 0.132742i \(0.957622\pi\)
\(548\) 6.93431 + 1.85804i 0.296219 + 0.0793717i
\(549\) −3.76360 + 6.51875i −0.160627 + 0.278213i
\(550\) −18.2300 + 8.70071i −0.777329 + 0.370999i
\(551\) 38.4582 22.2039i 1.63838 0.945916i
\(552\) 6.48781 6.48781i 0.276139 0.276139i
\(553\) −3.69043 + 12.9136i −0.156933 + 0.549141i
\(554\) 4.89016i 0.207763i
\(555\) 12.0716 + 17.0765i 0.512409 + 0.724855i
\(556\) 10.7536 + 6.20859i 0.456054 + 0.263303i
\(557\) 24.8367 6.65499i 1.05237 0.281981i 0.309137 0.951017i \(-0.399960\pi\)
0.743229 + 0.669037i \(0.233293\pi\)
\(558\) 2.05847 7.68233i 0.0871421 0.325219i
\(559\) 2.03974 0.0862718
\(560\) 5.58332 1.95614i 0.235939 0.0826621i
\(561\) −16.6605 −0.703408
\(562\) −7.62937 + 28.4732i −0.321825 + 1.20107i
\(563\) 5.18407 1.38907i 0.218482 0.0585422i −0.147917 0.989000i \(-0.547257\pi\)
0.366400 + 0.930458i \(0.380590\pi\)
\(564\) 0.551759 + 0.318558i 0.0232332 + 0.0134137i
\(565\) −5.21952 + 30.3980i −0.219587 + 1.27885i
\(566\) 11.2836i 0.474286i
\(567\) −7.11728 28.4377i −0.298898 1.19427i
\(568\) −5.03630 + 5.03630i −0.211318 + 0.211318i
\(569\) −22.0839 + 12.7502i −0.925806 + 0.534514i −0.885483 0.464672i \(-0.846172\pi\)
−0.0403234 + 0.999187i \(0.512839\pi\)
\(570\) −11.7379 + 25.4697i −0.491648 + 1.06681i
\(571\) −7.95235 + 13.7739i −0.332795 + 0.576419i −0.983059 0.183290i \(-0.941325\pi\)
0.650263 + 0.759709i \(0.274659\pi\)
\(572\) 1.13064 + 0.302955i 0.0472746 + 0.0126672i
\(573\) −6.39672 6.39672i −0.267227 0.267227i
\(574\) 5.98447 3.32424i 0.249787 0.138751i
\(575\) −12.8476 + 18.7031i −0.535781 + 0.779973i
\(576\) −0.543813 0.941911i −0.0226589 0.0392463i
\(577\) −5.96565 22.2641i −0.248353 0.926867i −0.971668 0.236349i \(-0.924049\pi\)
0.723315 0.690518i \(-0.242617\pi\)
\(578\) −3.32310 12.4020i −0.138223 0.515854i
\(579\) −20.2934 35.1493i −0.843366 1.46075i
\(580\) −1.46664 15.9400i −0.0608988 0.661872i
\(581\) −14.4173 0.238779i −0.598132 0.00990621i
\(582\) −13.4065 13.4065i −0.555719 0.555719i
\(583\) 32.3214 + 8.66048i 1.33861 + 0.358681i
\(584\) 5.76293 9.98169i 0.238472 0.413045i
\(585\) 0.661059 0.243969i 0.0273314 0.0100869i
\(586\) 8.85989 5.11526i 0.365999 0.211310i
\(587\) −28.2277 + 28.2277i −1.16508 + 1.16508i −0.181734 + 0.983348i \(0.558171\pi\)
−0.983348 + 0.181734i \(0.941829\pi\)
\(588\) −4.11362 + 13.5415i −0.169643 + 0.558441i
\(589\) 45.3622i 1.86912i
\(590\) −1.88515 0.323692i −0.0776105 0.0133262i
\(591\) −19.4355 11.2211i −0.799471 0.461575i
\(592\) 4.46814 1.19723i 0.183639 0.0492060i
\(593\) −9.16977 + 34.2220i −0.376557 + 1.40533i 0.474499 + 0.880256i \(0.342629\pi\)
−0.851056 + 0.525075i \(0.824037\pi\)
\(594\) 15.6202 0.640905
\(595\) −12.0332 + 0.906496i −0.493312 + 0.0371627i
\(596\) 23.9483 0.980963
\(597\) 5.65247 21.0953i 0.231340 0.863373i
\(598\) 1.27006 0.340312i 0.0519367 0.0139164i
\(599\) −14.5339 8.39115i −0.593839 0.342853i 0.172775 0.984961i \(-0.444727\pi\)
−0.766614 + 0.642108i \(0.778060\pi\)
\(600\) 6.56710 + 7.68530i 0.268101 + 0.313751i
\(601\) 1.73528i 0.0707833i 0.999374 + 0.0353917i \(0.0112679\pi\)
−0.999374 + 0.0353917i \(0.988732\pi\)
\(602\) −17.9091 5.11804i −0.729919 0.208596i
\(603\) 2.42925 2.42925i 0.0989266 0.0989266i
\(604\) −3.06862 + 1.77167i −0.124860 + 0.0720881i
\(605\) 10.8066 + 4.98031i 0.439350 + 0.202478i
\(606\) −9.99616 + 17.3139i −0.406066 + 0.703327i
\(607\) 38.0930 + 10.2070i 1.54615 + 0.414288i 0.928245 0.371968i \(-0.121317\pi\)
0.617900 + 0.786257i \(0.287984\pi\)
\(608\) 4.38642 + 4.38642i 0.177893 + 0.177893i
\(609\) 32.8410 + 19.6930i 1.33079 + 0.798000i
\(610\) −11.8993 9.89407i −0.481787 0.400599i
\(611\) 0.0456517 + 0.0790711i 0.00184687 + 0.00319887i
\(612\) 0.574183 + 2.14288i 0.0232100 + 0.0866208i
\(613\) 0.0885018 + 0.330293i 0.00357455 + 0.0133404i 0.967690 0.252143i \(-0.0811352\pi\)
−0.964116 + 0.265483i \(0.914469\pi\)
\(614\) −0.762678 1.32100i −0.0307792 0.0533111i
\(615\) 8.99444 + 7.47875i 0.362691 + 0.301572i
\(616\) −9.16697 5.49694i −0.369348 0.221478i
\(617\) 11.1876 + 11.1876i 0.450397 + 0.450397i 0.895486 0.445089i \(-0.146828\pi\)
−0.445089 + 0.895486i \(0.646828\pi\)
\(618\) −8.36236 2.24069i −0.336383 0.0901337i
\(619\) −18.2682 + 31.6414i −0.734260 + 1.27178i 0.220787 + 0.975322i \(0.429138\pi\)
−0.955047 + 0.296454i \(0.904196\pi\)
\(620\) 14.8502 + 6.84386i 0.596400 + 0.274856i
\(621\) 15.1956 8.77316i 0.609777 0.352055i
\(622\) −6.80819 + 6.80819i −0.272984 + 0.272984i
\(623\) −7.81566 2.23356i −0.313128 0.0894855i
\(624\) 0.585786i 0.0234502i
\(625\) −19.4363 15.7235i −0.777452 0.628942i
\(626\) −2.62123 1.51337i −0.104766 0.0604864i
\(627\) 48.9421 13.1140i 1.95456 0.523723i
\(628\) −1.58462 + 5.91389i −0.0632333 + 0.235990i
\(629\) −9.43535 −0.376212
\(630\) −6.41630 + 0.483360i −0.255631 + 0.0192575i
\(631\) −35.8189 −1.42593 −0.712964 0.701201i \(-0.752648\pi\)
−0.712964 + 0.701201i \(0.752648\pi\)
\(632\) −1.31384 + 4.90330i −0.0522616 + 0.195043i
\(633\) 14.7747 3.95888i 0.587243 0.157351i
\(634\) −1.68760 0.974335i −0.0670231 0.0386958i
\(635\) 6.85616 + 1.17725i 0.272079 + 0.0467176i
\(636\) 16.7457i 0.664010i
\(637\) −1.48083 + 1.38585i −0.0586726 + 0.0549093i
\(638\) −20.4502 + 20.4502i −0.809631 + 0.809631i
\(639\) 6.70867 3.87325i 0.265391 0.153223i
\(640\) 2.09777 0.774197i 0.0829215 0.0306028i
\(641\) 7.16573 12.4114i 0.283029 0.490221i −0.689100 0.724666i \(-0.741994\pi\)
0.972129 + 0.234445i \(0.0753272\pi\)
\(642\) 29.0436 + 7.78222i 1.14626 + 0.307140i
\(643\) −7.65201 7.65201i −0.301766 0.301766i 0.539939 0.841704i \(-0.318447\pi\)
−0.841704 + 0.539939i \(0.818447\pi\)
\(644\) −12.0051 0.198828i −0.473068 0.00783492i
\(645\) −2.91605 31.6928i −0.114819 1.24790i
\(646\) −6.32659 10.9580i −0.248916 0.431136i
\(647\) 8.37254 + 31.2468i 0.329159 + 1.22844i 0.910065 + 0.414466i \(0.136032\pi\)
−0.580906 + 0.813971i \(0.697302\pi\)
\(648\) −2.86770 10.7024i −0.112654 0.420430i
\(649\) 1.72791 + 2.99282i 0.0678262 + 0.117478i
\(650\) 0.264349 + 1.42436i 0.0103686 + 0.0558681i
\(651\) −34.1947 + 18.9943i −1.34019 + 0.744447i
\(652\) −11.7082 11.7082i −0.458528 0.458528i
\(653\) 0.494788 + 0.132578i 0.0193625 + 0.00518818i 0.268487 0.963283i \(-0.413476\pi\)
−0.249125 + 0.968471i \(0.580143\pi\)
\(654\) 13.3754 23.1669i 0.523020 0.905898i
\(655\) 6.83094 14.8222i 0.266907 0.579151i
\(656\) 2.24080 1.29373i 0.0874886 0.0505116i
\(657\) −8.86417 + 8.86417i −0.345824 + 0.345824i
\(658\) −0.202423 0.808797i −0.00789127 0.0315302i
\(659\) 19.5542i 0.761723i 0.924632 + 0.380862i \(0.124373\pi\)
−0.924632 + 0.380862i \(0.875627\pi\)
\(660\) 3.09083 18.0007i 0.120310 0.700676i
\(661\) 34.0324 + 19.6486i 1.32371 + 0.764242i 0.984318 0.176405i \(-0.0564468\pi\)
0.339388 + 0.940647i \(0.389780\pi\)
\(662\) 27.9090 7.47819i 1.08471 0.290648i
\(663\) −0.309250 + 1.15414i −0.0120103 + 0.0448230i
\(664\) −5.44998 −0.211500
\(665\) 34.6352 12.1346i 1.34310 0.470559i
\(666\) −5.03109 −0.194951
\(667\) −8.40828 + 31.3801i −0.325570 + 1.21504i
\(668\) −14.0527 + 3.76542i −0.543716 + 0.145688i
\(669\) −23.1579 13.3702i −0.895337 0.516923i
\(670\) 4.07711 + 5.76749i 0.157512 + 0.222817i
\(671\) 27.9597i 1.07937i
\(672\) −1.46983 + 5.14324i −0.0567000 + 0.198405i
\(673\) 18.4813 18.4813i 0.712401 0.712401i −0.254636 0.967037i \(-0.581956\pi\)
0.967037 + 0.254636i \(0.0819556\pi\)
\(674\) −1.00824 + 0.582108i −0.0388360 + 0.0224220i
\(675\) 8.32692 + 17.4468i 0.320503 + 0.671528i
\(676\) −6.45803 + 11.1856i −0.248386 + 0.430217i
\(677\) −39.7951 10.6631i −1.52945 0.409815i −0.606611 0.794999i \(-0.707472\pi\)
−0.922840 + 0.385183i \(0.874138\pi\)
\(678\) −19.7192 19.7192i −0.757312 0.757312i
\(679\) −0.410862 + 24.8076i −0.0157674 + 0.952030i
\(680\) −4.54181 + 0.417892i −0.174171 + 0.0160254i
\(681\) 16.3702 + 28.3541i 0.627309 + 1.08653i
\(682\) −7.64618 28.5359i −0.292787 1.09270i
\(683\) −2.36248 8.81689i −0.0903978 0.337369i 0.905884 0.423526i \(-0.139208\pi\)
−0.996282 + 0.0861573i \(0.972541\pi\)
\(684\) −3.37345 5.84298i −0.128987 0.223412i
\(685\) 10.2631 12.3431i 0.392134 0.471607i
\(686\) 16.4791 8.45219i 0.629175 0.322706i
\(687\) −16.8358 16.8358i −0.642325 0.642325i
\(688\) −6.80009 1.82208i −0.259251 0.0694661i
\(689\) 1.19989 2.07827i 0.0457121 0.0791758i
\(690\) −7.10337 19.2473i −0.270421 0.732732i
\(691\) −41.9971 + 24.2470i −1.59765 + 0.922401i −0.605706 + 0.795689i \(0.707109\pi\)
−0.991940 + 0.126712i \(0.959558\pi\)
\(692\) −5.49565 + 5.49565i −0.208913 + 0.208913i
\(693\) 8.08313 + 8.35538i 0.307053 + 0.317395i
\(694\) 16.7042i 0.634082i
\(695\) 22.6726 16.0276i 0.860022 0.607960i
\(696\) 12.5343 + 7.23668i 0.475111 + 0.274306i
\(697\) −5.09790 + 1.36598i −0.193097 + 0.0517401i
\(698\) −9.50244 + 35.4636i −0.359673 + 1.34232i
\(699\) 11.5732 0.437739
\(700\) 1.25296 13.1693i 0.0473573 0.497752i
\(701\) −30.8898 −1.16669 −0.583347 0.812223i \(-0.698257\pi\)
−0.583347 + 0.812223i \(0.698257\pi\)
\(702\) 0.289940 1.08207i 0.0109431 0.0408402i
\(703\) 27.7173 7.42684i 1.04538 0.280109i
\(704\) −3.49872 2.01999i −0.131863 0.0761311i
\(705\) 1.16332 0.822363i 0.0438130 0.0309720i
\(706\) 14.2708i 0.537089i
\(707\) 25.3796 6.35191i 0.954496 0.238888i
\(708\) 1.22290 1.22290i 0.0459595 0.0459595i
\(709\) 12.7354 7.35277i 0.478287 0.276139i −0.241416 0.970422i \(-0.577612\pi\)
0.719702 + 0.694283i \(0.244278\pi\)
\(710\) 5.51414 + 14.9411i 0.206942 + 0.560730i
\(711\) 2.76054 4.78140i 0.103528 0.179316i
\(712\) −2.96762 0.795171i −0.111216 0.0298003i
\(713\) −23.4656 23.4656i −0.878795 0.878795i
\(714\) 5.61116 9.35745i 0.209992 0.350194i
\(715\) 1.67341 2.01256i 0.0625821 0.0752654i
\(716\) 1.93236 + 3.34695i 0.0722157 + 0.125081i
\(717\) 4.36306 + 16.2831i 0.162941 + 0.608105i
\(718\) −7.01110 26.1658i −0.261652 0.976499i
\(719\) −11.7360 20.3273i −0.437679 0.758082i 0.559831 0.828607i \(-0.310866\pi\)
−0.997510 + 0.0705247i \(0.977533\pi\)
\(720\) −2.42177 + 0.222827i −0.0902542 + 0.00830428i
\(721\) 5.50134 + 9.90382i 0.204881 + 0.368837i
\(722\) 13.7753 + 13.7753i 0.512665 + 0.512665i
\(723\) 5.78913 + 1.55119i 0.215300 + 0.0576895i
\(724\) 3.49553 6.05444i 0.129911 0.225012i
\(725\) −33.7433 11.9399i −1.25320 0.443436i
\(726\) −9.31732 + 5.37936i −0.345798 + 0.199647i
\(727\) 14.1380 14.1380i 0.524349 0.524349i −0.394533 0.918882i \(-0.629093\pi\)
0.918882 + 0.394533i \(0.129093\pi\)
\(728\) −0.550950 + 0.532998i −0.0204196 + 0.0197542i
\(729\) 11.4004i 0.422236i
\(730\) −14.8771 21.0452i −0.550626 0.778917i
\(731\) 12.4359 + 7.17986i 0.459958 + 0.265557i
\(732\) 13.5155 3.62148i 0.499549 0.133854i
\(733\) −7.17859 + 26.7908i −0.265147 + 0.989543i 0.697013 + 0.717058i \(0.254512\pi\)
−0.962160 + 0.272484i \(0.912155\pi\)
\(734\) 22.6715 0.836821
\(735\) 23.6499 + 21.0274i 0.872339 + 0.775608i
\(736\) −4.53813 −0.167278
\(737\) 3.30280 12.3262i 0.121660 0.454042i
\(738\) −2.71829 + 0.728364i −0.100062 + 0.0268114i
\(739\) 11.7451 + 6.78102i 0.432050 + 0.249444i 0.700219 0.713928i \(-0.253085\pi\)
−0.268170 + 0.963372i \(0.586419\pi\)
\(740\) 1.75043 10.1943i 0.0643470 0.374751i
\(741\) 3.63383i 0.133492i
\(742\) −15.7498 + 15.2366i −0.578194 + 0.559354i
\(743\) 13.5961 13.5961i 0.498791 0.498791i −0.412270 0.911062i \(-0.635264\pi\)
0.911062 + 0.412270i \(0.135264\pi\)
\(744\) −12.8037 + 7.39223i −0.469407 + 0.271012i
\(745\) 22.4134 48.6339i 0.821162 1.78181i
\(746\) 6.41789 11.1161i 0.234976 0.406990i
\(747\) 5.72557 + 1.53416i 0.209488 + 0.0561320i
\(748\) 5.82691 + 5.82691i 0.213053 + 0.213053i
\(749\) −19.1069 34.3973i −0.698152 1.25685i
\(750\) 21.7534 6.14366i 0.794320 0.224335i
\(751\) −21.8309 37.8123i −0.796622 1.37979i −0.921804 0.387656i \(-0.873285\pi\)
0.125182 0.992134i \(-0.460049\pi\)
\(752\) −0.0815604 0.304388i −0.00297420 0.0110999i
\(753\) −8.46663 31.5979i −0.308541 1.15149i
\(754\) 1.03707 + 1.79626i 0.0377678 + 0.0654158i
\(755\) 0.725941 + 7.88981i 0.0264197 + 0.287140i
\(756\) −5.26079 + 8.77316i −0.191333 + 0.319077i
\(757\) 7.88896 + 7.88896i 0.286729 + 0.286729i 0.835785 0.549056i \(-0.185013\pi\)
−0.549056 + 0.835785i \(0.685013\pi\)
\(758\) 13.9807 + 3.74613i 0.507803 + 0.136065i
\(759\) −18.5337 + 32.1013i −0.672730 + 1.16520i
\(760\) 13.0131 4.80260i 0.472036 0.174208i
\(761\) −1.70923 + 0.986825i −0.0619596 + 0.0357724i −0.530660 0.847585i \(-0.678056\pi\)
0.468700 + 0.883357i \(0.344722\pi\)
\(762\) −4.44761 + 4.44761i −0.161120 + 0.161120i
\(763\) −33.9593 + 8.49921i −1.22941 + 0.307692i
\(764\) 4.47442i 0.161879i
\(765\) 4.88911 + 0.839490i 0.176766 + 0.0303518i
\(766\) −1.51691 0.875788i −0.0548082 0.0316435i
\(767\) 0.239397 0.0641463i 0.00864413 0.00231619i
\(768\) −0.523277 + 1.95290i −0.0188821 + 0.0704691i
\(769\) 17.4914 0.630756 0.315378 0.948966i \(-0.397869\pi\)
0.315378 + 0.948966i \(0.397869\pi\)
\(770\) −19.7425 + 13.4715i −0.711470 + 0.485480i
\(771\) −11.7763 −0.424112