Properties

Label 546.2.bv.a.515.20
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 515.20
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.71747 + 0.224294i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-2.30125 - 0.616617i) q^{5} +(-1.71700 - 0.227862i) q^{6} +(2.49307 + 0.885767i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.89938 - 0.770435i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.71747 + 0.224294i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-2.30125 - 0.616617i) q^{5} +(-1.71700 - 0.227862i) q^{6} +(2.49307 + 0.885767i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.89938 - 0.770435i) q^{9} +(-2.06324 - 1.19121i) q^{10} +(-4.42909 + 1.18677i) q^{11} +(-1.59952 - 0.664489i) q^{12} +(-1.86076 + 3.08830i) q^{13} +(2.17887 + 1.50084i) q^{14} +(4.09062 + 0.542863i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-2.95298 + 5.11472i) q^{17} +(2.99999 + 0.00623244i) q^{18} +(0.323512 - 1.20736i) q^{19} +(-1.68463 - 1.68463i) q^{20} +(-4.48044 - 0.962094i) q^{21} -4.58533 q^{22} +(3.26170 + 5.64943i) q^{23} +(-1.37303 - 1.05583i) q^{24} +(0.585393 + 0.337977i) q^{25} +(-2.59666 + 2.50147i) q^{26} +(-4.80679 + 1.97351i) q^{27} +(1.71618 + 2.01363i) q^{28} -2.63146i q^{29} +(3.81073 + 1.58310i) q^{30} +(-5.95364 + 1.59527i) q^{31} +(0.258819 + 0.965926i) q^{32} +(7.34063 - 3.03166i) q^{33} +(-4.17615 + 4.17615i) q^{34} +(-5.19100 - 3.57564i) q^{35} +(2.89616 + 0.782476i) q^{36} +(-1.75031 - 0.468993i) q^{37} +(0.624977 - 1.08249i) q^{38} +(2.50310 - 5.72141i) q^{39} +(-1.19121 - 2.06324i) q^{40} +(-1.95111 + 1.95111i) q^{41} +(-4.07877 - 2.08894i) q^{42} +9.07474i q^{43} +(-4.42909 - 1.18677i) q^{44} +(-7.14726 - 0.0148483i) q^{45} +(1.68838 + 6.30112i) q^{46} +(-0.736826 + 2.74987i) q^{47} +(-1.05298 - 1.37522i) q^{48} +(5.43083 + 4.41657i) q^{49} +(0.477971 + 0.477971i) q^{50} +(3.92445 - 9.44670i) q^{51} +(-3.15561 + 1.74417i) q^{52} +(-3.46376 - 1.99980i) q^{53} +(-5.15379 + 0.662177i) q^{54} +10.9242 q^{55} +(1.13654 + 2.38920i) q^{56} +(-0.284816 + 2.14617i) q^{57} +(0.681073 - 2.54180i) q^{58} +(11.8887 - 3.18558i) q^{59} +(3.27115 + 2.51544i) q^{60} +(-2.99008 - 5.17897i) q^{61} -6.16367 q^{62} +(7.91081 + 0.647427i) q^{63} +1.00000i q^{64} +(6.18636 - 5.95956i) q^{65} +(7.87515 - 1.02846i) q^{66} +(9.93115 - 2.66104i) q^{67} +(-5.11472 + 2.95298i) q^{68} +(-6.86899 - 8.97112i) q^{69} +(-4.08868 - 4.79733i) q^{70} +(8.41870 - 8.41870i) q^{71} +(2.59495 + 1.50539i) q^{72} +(-2.85119 - 10.6408i) q^{73} +(-1.56928 - 0.906026i) q^{74} +(-1.08120 - 0.449163i) q^{75} +(0.883851 - 0.883851i) q^{76} +(-12.0932 - 0.964434i) q^{77} +(3.89862 - 4.87860i) q^{78} +(3.81078 + 6.60047i) q^{79} +(-0.616617 - 2.30125i) q^{80} +(7.81286 - 4.46758i) q^{81} +(-2.38961 + 1.37964i) q^{82} +(9.74816 - 9.74816i) q^{83} +(-3.39913 - 3.07342i) q^{84} +(9.94937 - 9.94937i) q^{85} +(-2.34872 + 8.76553i) q^{86} +(0.590222 + 4.51945i) q^{87} +(-3.97101 - 2.29266i) q^{88} +(-2.47718 + 9.24498i) q^{89} +(-6.89988 - 1.86419i) q^{90} +(-7.37452 + 6.05116i) q^{91} +6.52340i q^{92} +(9.86737 - 4.07520i) q^{93} +(-1.42344 + 2.46547i) q^{94} +(-1.48896 + 2.57896i) q^{95} +(-0.661165 - 1.60089i) q^{96} +(3.90221 + 3.90221i) q^{97} +(4.10269 + 5.67168i) q^{98} +(-11.9273 + 6.85323i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 16 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 16 q^{7} + 72 q^{16} + 16 q^{18} + 8 q^{19} + 8 q^{21} + 24 q^{27} - 8 q^{28} - 8 q^{31} + 12 q^{33} - 8 q^{37} + 16 q^{39} - 40 q^{45} + 8 q^{46} + 8 q^{52} - 12 q^{54} - 32 q^{55} + 16 q^{57} + 8 q^{58} - 32 q^{61} - 40 q^{63} - 32 q^{66} - 8 q^{67} + 16 q^{72} + 80 q^{73} - 16 q^{76} + 16 q^{78} - 112 q^{79} - 48 q^{81} + 16 q^{84} - 80 q^{85} + 96 q^{87} - 32 q^{91} + 36 q^{93} - 64 q^{94} - 144 q^{97} - 32 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) −1.71747 + 0.224294i −0.991580 + 0.129496i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −2.30125 0.616617i −1.02915 0.275760i −0.295539 0.955331i \(-0.595499\pi\)
−0.733610 + 0.679571i \(0.762166\pi\)
\(6\) −1.71700 0.227862i −0.700961 0.0930241i
\(7\) 2.49307 + 0.885767i 0.942293 + 0.334789i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 2.89938 0.770435i 0.966461 0.256812i
\(10\) −2.06324 1.19121i −0.652454 0.376695i
\(11\) −4.42909 + 1.18677i −1.33542 + 0.357825i −0.854733 0.519067i \(-0.826279\pi\)
−0.480687 + 0.876892i \(0.659613\pi\)
\(12\) −1.59952 0.664489i −0.461741 0.191821i
\(13\) −1.86076 + 3.08830i −0.516081 + 0.856540i
\(14\) 2.17887 + 1.50084i 0.582328 + 0.401116i
\(15\) 4.09062 + 0.542863i 1.05619 + 0.140167i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −2.95298 + 5.11472i −0.716204 + 1.24050i 0.246289 + 0.969196i \(0.420789\pi\)
−0.962493 + 0.271305i \(0.912545\pi\)
\(18\) 2.99999 + 0.00623244i 0.707105 + 0.00146900i
\(19\) 0.323512 1.20736i 0.0742187 0.276988i −0.918836 0.394639i \(-0.870870\pi\)
0.993055 + 0.117651i \(0.0375364\pi\)
\(20\) −1.68463 1.68463i −0.376695 0.376695i
\(21\) −4.48044 0.962094i −0.977713 0.209946i
\(22\) −4.58533 −0.977596
\(23\) 3.26170 + 5.64943i 0.680111 + 1.17799i 0.974947 + 0.222439i \(0.0714018\pi\)
−0.294836 + 0.955548i \(0.595265\pi\)
\(24\) −1.37303 1.05583i −0.280269 0.215521i
\(25\) 0.585393 + 0.337977i 0.117079 + 0.0675953i
\(26\) −2.59666 + 2.50147i −0.509248 + 0.490578i
\(27\) −4.80679 + 1.97351i −0.925068 + 0.379803i
\(28\) 1.71618 + 2.01363i 0.324328 + 0.380541i
\(29\) 2.63146i 0.488650i −0.969693 0.244325i \(-0.921434\pi\)
0.969693 0.244325i \(-0.0785664\pi\)
\(30\) 3.81073 + 1.58310i 0.695741 + 0.289032i
\(31\) −5.95364 + 1.59527i −1.06931 + 0.286520i −0.750208 0.661202i \(-0.770047\pi\)
−0.319098 + 0.947722i \(0.603380\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) 7.34063 3.03166i 1.27784 0.527744i
\(34\) −4.17615 + 4.17615i −0.716204 + 0.716204i
\(35\) −5.19100 3.57564i −0.877439 0.604394i
\(36\) 2.89616 + 0.782476i 0.482693 + 0.130413i
\(37\) −1.75031 0.468993i −0.287749 0.0771020i 0.112057 0.993702i \(-0.464256\pi\)
−0.399806 + 0.916600i \(0.630923\pi\)
\(38\) 0.624977 1.08249i 0.101385 0.175603i
\(39\) 2.50310 5.72141i 0.400817 0.916158i
\(40\) −1.19121 2.06324i −0.188347 0.326227i
\(41\) −1.95111 + 1.95111i −0.304712 + 0.304712i −0.842854 0.538142i \(-0.819126\pi\)
0.538142 + 0.842854i \(0.319126\pi\)
\(42\) −4.07877 2.08894i −0.629368 0.322330i
\(43\) 9.07474i 1.38389i 0.721953 + 0.691943i \(0.243245\pi\)
−0.721953 + 0.691943i \(0.756755\pi\)
\(44\) −4.42909 1.18677i −0.667710 0.178912i
\(45\) −7.14726 0.0148483i −1.06545 0.00221346i
\(46\) 1.68838 + 6.30112i 0.248938 + 0.929049i
\(47\) −0.736826 + 2.74987i −0.107477 + 0.401110i −0.998614 0.0526238i \(-0.983242\pi\)
0.891137 + 0.453734i \(0.149908\pi\)
\(48\) −1.05298 1.37522i −0.151984 0.198496i
\(49\) 5.43083 + 4.41657i 0.775833 + 0.630938i
\(50\) 0.477971 + 0.477971i 0.0675953 + 0.0675953i
\(51\) 3.92445 9.44670i 0.549533 1.32280i
\(52\) −3.15561 + 1.74417i −0.437605 + 0.241872i
\(53\) −3.46376 1.99980i −0.475784 0.274694i 0.242874 0.970058i \(-0.421910\pi\)
−0.718658 + 0.695364i \(0.755243\pi\)
\(54\) −5.15379 + 0.662177i −0.701342 + 0.0901109i
\(55\) 10.9242 1.47302
\(56\) 1.13654 + 2.38920i 0.151876 + 0.319270i
\(57\) −0.284816 + 2.14617i −0.0377249 + 0.284267i
\(58\) 0.681073 2.54180i 0.0894292 0.333754i
\(59\) 11.8887 3.18558i 1.54778 0.414727i 0.619010 0.785383i \(-0.287534\pi\)
0.928770 + 0.370656i \(0.120867\pi\)
\(60\) 3.27115 + 2.51544i 0.422303 + 0.324742i
\(61\) −2.99008 5.17897i −0.382841 0.663099i 0.608626 0.793457i \(-0.291721\pi\)
−0.991467 + 0.130358i \(0.958387\pi\)
\(62\) −6.16367 −0.782786
\(63\) 7.91081 + 0.647427i 0.996668 + 0.0815682i
\(64\) 1.00000i 0.125000i
\(65\) 6.18636 5.95956i 0.767323 0.739193i
\(66\) 7.87515 1.02846i 0.969364 0.126595i
\(67\) 9.93115 2.66104i 1.21328 0.325098i 0.405234 0.914213i \(-0.367190\pi\)
0.808049 + 0.589115i \(0.200524\pi\)
\(68\) −5.11472 + 2.95298i −0.620251 + 0.358102i
\(69\) −6.86899 8.97112i −0.826929 1.08000i
\(70\) −4.08868 4.79733i −0.488690 0.573391i
\(71\) 8.41870 8.41870i 0.999116 0.999116i −0.000883786 1.00000i \(-0.500281\pi\)
1.00000 0.000883786i \(0.000281318\pi\)
\(72\) 2.59495 + 1.50539i 0.305818 + 0.177412i
\(73\) −2.85119 10.6408i −0.333706 1.24541i −0.905265 0.424847i \(-0.860328\pi\)
0.571559 0.820561i \(-0.306339\pi\)
\(74\) −1.56928 0.906026i −0.182425 0.105323i
\(75\) −1.08120 0.449163i −0.124846 0.0518649i
\(76\) 0.883851 0.883851i 0.101385 0.101385i
\(77\) −12.0932 0.964434i −1.37815 0.109907i
\(78\) 3.89862 4.87860i 0.441432 0.552393i
\(79\) 3.81078 + 6.60047i 0.428747 + 0.742611i 0.996762 0.0804068i \(-0.0256219\pi\)
−0.568015 + 0.823018i \(0.692289\pi\)
\(80\) −0.616617 2.30125i −0.0689399 0.257287i
\(81\) 7.81286 4.46758i 0.868095 0.496397i
\(82\) −2.38961 + 1.37964i −0.263888 + 0.152356i
\(83\) 9.74816 9.74816i 1.07000 1.07000i 0.0726418 0.997358i \(-0.476857\pi\)
0.997358 0.0726418i \(-0.0231430\pi\)
\(84\) −3.39913 3.07342i −0.370876 0.335338i
\(85\) 9.94937 9.94937i 1.07916 1.07916i
\(86\) −2.34872 + 8.76553i −0.253269 + 0.945211i
\(87\) 0.590222 + 4.51945i 0.0632784 + 0.484536i
\(88\) −3.97101 2.29266i −0.423311 0.244399i
\(89\) −2.47718 + 9.24498i −0.262581 + 0.979966i 0.701133 + 0.713030i \(0.252678\pi\)
−0.963714 + 0.266936i \(0.913989\pi\)
\(90\) −6.89988 1.86419i −0.727311 0.196503i
\(91\) −7.37452 + 6.05116i −0.773059 + 0.634334i
\(92\) 6.52340i 0.680111i
\(93\) 9.86737 4.07520i 1.02320 0.422578i
\(94\) −1.42344 + 2.46547i −0.146816 + 0.254294i
\(95\) −1.48896 + 2.57896i −0.152764 + 0.264595i
\(96\) −0.661165 1.60089i −0.0674798 0.163391i
\(97\) 3.90221 + 3.90221i 0.396210 + 0.396210i 0.876894 0.480684i \(-0.159612\pi\)
−0.480684 + 0.876894i \(0.659612\pi\)
\(98\) 4.10269 + 5.67168i 0.414434 + 0.572926i
\(99\) −11.9273 + 6.85323i −1.19874 + 0.688776i
\(100\) 0.337977 + 0.585393i 0.0337977 + 0.0585393i
\(101\) −1.78120 + 3.08513i −0.177236 + 0.306982i −0.940933 0.338593i \(-0.890049\pi\)
0.763697 + 0.645575i \(0.223382\pi\)
\(102\) 6.23571 8.10909i 0.617428 0.802919i
\(103\) 6.40506 3.69796i 0.631109 0.364371i −0.150072 0.988675i \(-0.547951\pi\)
0.781181 + 0.624304i \(0.214617\pi\)
\(104\) −3.49951 + 0.868003i −0.343155 + 0.0851147i
\(105\) 9.71736 + 4.97673i 0.948317 + 0.485680i
\(106\) −2.82815 2.82815i −0.274694 0.274694i
\(107\) −4.79107 + 2.76613i −0.463170 + 0.267411i −0.713376 0.700781i \(-0.752835\pi\)
0.250206 + 0.968193i \(0.419502\pi\)
\(108\) −5.14956 0.694285i −0.495517 0.0668076i
\(109\) −16.9228 + 4.53445i −1.62091 + 0.434321i −0.951269 0.308363i \(-0.900219\pi\)
−0.669641 + 0.742685i \(0.733552\pi\)
\(110\) 10.5520 + 2.82739i 1.00609 + 0.269581i
\(111\) 3.11129 + 0.412897i 0.295310 + 0.0391904i
\(112\) 0.479440 + 2.60195i 0.0453028 + 0.245861i
\(113\) 9.52648i 0.896176i 0.893989 + 0.448088i \(0.147895\pi\)
−0.893989 + 0.448088i \(0.852105\pi\)
\(114\) −0.830580 + 1.99932i −0.0777910 + 0.187254i
\(115\) −4.02244 15.0119i −0.375094 1.39987i
\(116\) 1.31573 2.27891i 0.122163 0.211592i
\(117\) −3.01572 + 10.3878i −0.278803 + 0.960348i
\(118\) 12.3081 1.13305
\(119\) −11.8925 + 10.1357i −1.09018 + 0.929139i
\(120\) 2.50864 + 3.27637i 0.229007 + 0.299090i
\(121\) 8.68212 5.01263i 0.789284 0.455693i
\(122\) −1.54778 5.77639i −0.140129 0.522970i
\(123\) 2.91334 3.78858i 0.262687 0.341605i
\(124\) −5.95364 1.59527i −0.534653 0.143260i
\(125\) 7.28442 + 7.28442i 0.651538 + 0.651538i
\(126\) 7.47368 + 2.67283i 0.665809 + 0.238115i
\(127\) 9.86636i 0.875497i −0.899097 0.437749i \(-0.855776\pi\)
0.899097 0.437749i \(-0.144224\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) −2.03541 15.5856i −0.179208 1.37223i
\(130\) 7.51801 4.15535i 0.659373 0.364448i
\(131\) 10.0357 5.79409i 0.876819 0.506232i 0.00721095 0.999974i \(-0.497705\pi\)
0.869608 + 0.493742i \(0.164371\pi\)
\(132\) 7.87300 + 1.04482i 0.685257 + 0.0909400i
\(133\) 1.87598 2.72349i 0.162668 0.236156i
\(134\) 10.2815 0.888185
\(135\) 12.2785 1.57759i 1.05677 0.135777i
\(136\) −5.70473 + 1.52858i −0.489176 + 0.131074i
\(137\) −10.5912 + 2.83789i −0.904864 + 0.242458i −0.681104 0.732187i \(-0.738500\pi\)
−0.223760 + 0.974644i \(0.571833\pi\)
\(138\) −4.31304 10.4433i −0.367150 0.888990i
\(139\) −13.6682 −1.15932 −0.579661 0.814858i \(-0.696815\pi\)
−0.579661 + 0.814858i \(0.696815\pi\)
\(140\) −2.70772 5.69210i −0.228844 0.481070i
\(141\) 0.648694 4.88808i 0.0546299 0.411650i
\(142\) 10.3108 5.95292i 0.865260 0.499558i
\(143\) 4.57636 15.8866i 0.382694 1.32851i
\(144\) 2.11691 + 2.12572i 0.176409 + 0.177144i
\(145\) −1.62261 + 6.05565i −0.134750 + 0.502894i
\(146\) 11.0161i 0.911702i
\(147\) −10.3179 6.36720i −0.851005 0.525158i
\(148\) −1.28131 1.28131i −0.105323 0.105323i
\(149\) −6.71519 1.79933i −0.550130 0.147407i −0.0269619 0.999636i \(-0.508583\pi\)
−0.523168 + 0.852230i \(0.675250\pi\)
\(150\) −0.928105 0.713693i −0.0757795 0.0582728i
\(151\) 0.402539 + 1.50230i 0.0327582 + 0.122255i 0.980369 0.197173i \(-0.0631760\pi\)
−0.947611 + 0.319428i \(0.896509\pi\)
\(152\) 1.08249 0.624977i 0.0878017 0.0506923i
\(153\) −4.62128 + 17.1046i −0.373608 + 1.38283i
\(154\) −11.4316 4.06153i −0.921182 0.327288i
\(155\) 14.6845 1.17949
\(156\) 5.02845 3.70333i 0.402598 0.296504i
\(157\) 4.37974 7.58593i 0.349541 0.605423i −0.636627 0.771172i \(-0.719671\pi\)
0.986168 + 0.165749i \(0.0530042\pi\)
\(158\) 1.97261 + 7.36187i 0.156932 + 0.585679i
\(159\) 6.39744 + 2.65770i 0.507350 + 0.210769i
\(160\) 2.38243i 0.188347i
\(161\) 3.12758 + 16.9735i 0.246488 + 1.33770i
\(162\) 8.70294 2.29323i 0.683767 0.180173i
\(163\) −4.97496 1.33304i −0.389669 0.104411i 0.0586647 0.998278i \(-0.481316\pi\)
−0.448334 + 0.893866i \(0.647982\pi\)
\(164\) −2.66526 + 0.714154i −0.208122 + 0.0557661i
\(165\) −18.7620 + 2.45024i −1.46062 + 0.190751i
\(166\) 11.9390 6.89299i 0.926647 0.535000i
\(167\) 12.1133 + 12.1133i 0.937356 + 0.937356i 0.998150 0.0607939i \(-0.0193632\pi\)
−0.0607939 + 0.998150i \(0.519363\pi\)
\(168\) −2.48785 3.84846i −0.191942 0.296915i
\(169\) −6.07517 11.4931i −0.467321 0.884088i
\(170\) 12.1854 7.03527i 0.934581 0.539580i
\(171\) 0.00779026 3.74985i 0.000595736 0.286758i
\(172\) −4.53737 + 7.85896i −0.345971 + 0.599240i
\(173\) −2.78524 4.82417i −0.211758 0.366775i 0.740507 0.672049i \(-0.234585\pi\)
−0.952265 + 0.305274i \(0.901252\pi\)
\(174\) −0.599609 + 4.51821i −0.0454563 + 0.342525i
\(175\) 1.16006 + 1.36112i 0.0876922 + 0.102891i
\(176\) −3.24232 3.24232i −0.244399 0.244399i
\(177\) −19.7040 + 8.13769i −1.48104 + 0.611666i
\(178\) −4.78555 + 8.28882i −0.358692 + 0.621273i
\(179\) −9.81003 + 16.9915i −0.733236 + 1.27000i 0.222257 + 0.974988i \(0.428658\pi\)
−0.955493 + 0.295014i \(0.904676\pi\)
\(180\) −6.18229 3.58649i −0.460800 0.267321i
\(181\) 17.7356i 1.31828i 0.752021 + 0.659139i \(0.229079\pi\)
−0.752021 + 0.659139i \(0.770921\pi\)
\(182\) −8.68939 + 3.93630i −0.644101 + 0.291778i
\(183\) 6.29698 + 8.22405i 0.465486 + 0.607940i
\(184\) −1.68838 + 6.30112i −0.124469 + 0.464524i
\(185\) 3.73870 + 2.15854i 0.274875 + 0.158699i
\(186\) 10.5859 1.38247i 0.776195 0.101368i
\(187\) 7.00903 26.1581i 0.512551 1.91287i
\(188\) −2.01305 + 2.01305i −0.146816 + 0.146816i
\(189\) −13.7318 + 0.662412i −0.998839 + 0.0481834i
\(190\) −2.10571 + 2.10571i −0.152764 + 0.152764i
\(191\) −10.2093 + 5.89437i −0.738722 + 0.426501i −0.821604 0.570058i \(-0.806921\pi\)
0.0828824 + 0.996559i \(0.473587\pi\)
\(192\) −0.224294 1.71747i −0.0161870 0.123947i
\(193\) −3.71322 13.8579i −0.267284 0.997517i −0.960838 0.277112i \(-0.910623\pi\)
0.693554 0.720405i \(-0.256044\pi\)
\(194\) 2.75928 + 4.77922i 0.198105 + 0.343128i
\(195\) −9.28817 + 11.6229i −0.665140 + 0.832334i
\(196\) 2.49496 + 6.54027i 0.178211 + 0.467162i
\(197\) −7.28557 + 7.28557i −0.519075 + 0.519075i −0.917292 0.398216i \(-0.869629\pi\)
0.398216 + 0.917292i \(0.369629\pi\)
\(198\) −13.2946 + 3.53270i −0.944808 + 0.251058i
\(199\) −4.21320 2.43249i −0.298666 0.172435i 0.343178 0.939271i \(-0.388497\pi\)
−0.641843 + 0.766836i \(0.721830\pi\)
\(200\) 0.174950 + 0.652921i 0.0123708 + 0.0461685i
\(201\) −16.4596 + 6.79775i −1.16097 + 0.479476i
\(202\) −2.51900 + 2.51900i −0.177236 + 0.177236i
\(203\) 2.33086 6.56043i 0.163595 0.460452i
\(204\) 8.12202 6.21885i 0.568655 0.435407i
\(205\) 5.69306 3.28689i 0.397621 0.229566i
\(206\) 7.14391 1.91421i 0.497740 0.133369i
\(207\) 13.8094 + 13.8669i 0.959822 + 0.963818i
\(208\) −3.60492 0.0673138i −0.249956 0.00466737i
\(209\) 5.73145i 0.396453i
\(210\) 8.09818 + 7.32219i 0.558827 + 0.505279i
\(211\) 12.6419 0.870302 0.435151 0.900357i \(-0.356695\pi\)
0.435151 + 0.900357i \(0.356695\pi\)
\(212\) −1.99980 3.46376i −0.137347 0.237892i
\(213\) −12.5706 + 16.3471i −0.861321 + 1.12008i
\(214\) −5.34374 + 1.43185i −0.365291 + 0.0978794i
\(215\) 5.59564 20.8832i 0.381620 1.42422i
\(216\) −4.79440 2.00343i −0.326218 0.136316i
\(217\) −16.2559 1.29641i −1.10352 0.0880058i
\(218\) −17.5198 −1.18659
\(219\) 7.28348 + 17.6357i 0.492172 + 1.19171i
\(220\) 9.46064 + 5.46210i 0.637836 + 0.368255i
\(221\) −10.3010 18.6369i −0.692920 1.25366i
\(222\) 2.89841 + 1.20409i 0.194528 + 0.0808131i
\(223\) 17.5457 + 17.5457i 1.17495 + 1.17495i 0.981015 + 0.193930i \(0.0621235\pi\)
0.193930 + 0.981015i \(0.437876\pi\)
\(224\) −0.210330 + 2.63738i −0.0140533 + 0.176217i
\(225\) 1.95767 + 0.528917i 0.130511 + 0.0352611i
\(226\) −2.46564 + 9.20188i −0.164012 + 0.612100i
\(227\) −0.686338 2.56145i −0.0455538 0.170009i 0.939401 0.342819i \(-0.111382\pi\)
−0.984955 + 0.172810i \(0.944715\pi\)
\(228\) −1.31974 + 1.71623i −0.0874020 + 0.113660i
\(229\) 28.1786 + 7.55043i 1.86209 + 0.498946i 0.999970 0.00775282i \(-0.00246782\pi\)
0.862123 + 0.506699i \(0.169134\pi\)
\(230\) 15.5415i 1.02478i
\(231\) 20.9861 1.05606i 1.38078 0.0694837i
\(232\) 1.86073 1.86073i 0.122163 0.122163i
\(233\) −1.67441 2.90016i −0.109694 0.189996i 0.805952 0.591981i \(-0.201654\pi\)
−0.915646 + 0.401985i \(0.868320\pi\)
\(234\) −5.60151 + 9.25328i −0.366182 + 0.604906i
\(235\) 3.39124 5.87379i 0.221220 0.383164i
\(236\) 11.8887 + 3.18558i 0.773890 + 0.207363i
\(237\) −8.02534 10.4814i −0.521302 0.680837i
\(238\) −14.1105 + 6.71235i −0.914651 + 0.435097i
\(239\) 11.4031 11.4031i 0.737605 0.737605i −0.234509 0.972114i \(-0.575348\pi\)
0.972114 + 0.234509i \(0.0753482\pi\)
\(240\) 1.57518 + 3.81401i 0.101677 + 0.246193i
\(241\) 0.0441972 + 0.164946i 0.00284699 + 0.0106251i 0.967335 0.253503i \(-0.0815826\pi\)
−0.964488 + 0.264128i \(0.914916\pi\)
\(242\) 9.68365 2.59473i 0.622489 0.166795i
\(243\) −12.4163 + 9.42529i −0.796504 + 0.604633i
\(244\) 5.98016i 0.382841i
\(245\) −9.77436 13.5124i −0.624461 0.863273i
\(246\) 3.79463 2.90546i 0.241936 0.185245i
\(247\) 3.12672 + 3.24571i 0.198948 + 0.206520i
\(248\) −5.33789 3.08183i −0.338956 0.195697i
\(249\) −14.5557 + 18.9286i −0.922429 + 1.19955i
\(250\) 5.15086 + 8.92155i 0.325769 + 0.564249i
\(251\) −1.99521 −0.125937 −0.0629683 0.998016i \(-0.520057\pi\)
−0.0629683 + 0.998016i \(0.520057\pi\)
\(252\) 6.52724 + 4.51609i 0.411178 + 0.284487i
\(253\) −21.1509 21.1509i −1.32975 1.32975i
\(254\) 2.55360 9.53017i 0.160227 0.597976i
\(255\) −14.8561 + 19.3193i −0.930327 + 1.20982i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 2.34151 + 4.05562i 0.146060 + 0.252983i 0.929768 0.368147i \(-0.120008\pi\)
−0.783708 + 0.621129i \(0.786674\pi\)
\(258\) 2.06779 15.5813i 0.128735 0.970050i
\(259\) −3.94823 2.71960i −0.245331 0.168988i
\(260\) 8.33732 2.06795i 0.517059 0.128249i
\(261\) −2.02737 7.62962i −0.125491 0.472262i
\(262\) 11.1933 2.99924i 0.691526 0.185294i
\(263\) 7.97634 + 4.60514i 0.491842 + 0.283965i 0.725338 0.688392i \(-0.241683\pi\)
−0.233496 + 0.972358i \(0.575017\pi\)
\(264\) 7.33431 + 3.04690i 0.451396 + 0.187524i
\(265\) 6.73786 + 6.73786i 0.413903 + 0.413903i
\(266\) 2.51695 2.14515i 0.154324 0.131527i
\(267\) 2.18089 16.4336i 0.133468 1.00572i
\(268\) 9.93115 + 2.66104i 0.606641 + 0.162549i
\(269\) −11.1019 6.40967i −0.676893 0.390805i 0.121790 0.992556i \(-0.461136\pi\)
−0.798683 + 0.601751i \(0.794470\pi\)
\(270\) 12.2684 + 1.65408i 0.746634 + 0.100664i
\(271\) −7.42167 1.98863i −0.450835 0.120801i 0.0262553 0.999655i \(-0.491642\pi\)
−0.477090 + 0.878855i \(0.658308\pi\)
\(272\) −5.90597 −0.358102
\(273\) 11.3082 12.0467i 0.684406 0.729101i
\(274\) −10.9648 −0.662406
\(275\) −2.99386 0.802201i −0.180536 0.0483746i
\(276\) −1.46316 11.2037i −0.0880718 0.674384i
\(277\) 25.0130 + 14.4413i 1.50288 + 0.867691i 0.999994 + 0.00334019i \(0.00106322\pi\)
0.502890 + 0.864350i \(0.332270\pi\)
\(278\) −13.2025 3.53759i −0.791832 0.212171i
\(279\) −16.0328 + 9.21221i −0.959861 + 0.551521i
\(280\) −1.14223 6.19895i −0.0682613 0.370458i
\(281\) −13.3466 13.3466i −0.796190 0.796190i 0.186303 0.982492i \(-0.440349\pi\)
−0.982492 + 0.186303i \(0.940349\pi\)
\(282\) 1.89172 4.55363i 0.112650 0.271165i
\(283\) 21.4097 + 12.3609i 1.27268 + 0.734780i 0.975491 0.220040i \(-0.0706187\pi\)
0.297185 + 0.954820i \(0.403952\pi\)
\(284\) 11.5002 3.08146i 0.682409 0.182851i
\(285\) 1.97880 4.76324i 0.117214 0.282150i
\(286\) 8.53218 14.1609i 0.504519 0.837349i
\(287\) −6.59248 + 3.13603i −0.389142 + 0.185114i
\(288\) 1.49460 + 2.60119i 0.0880701 + 0.153276i
\(289\) −8.94023 15.4849i −0.525896 0.910879i
\(290\) −3.13463 + 5.42934i −0.184072 + 0.318822i
\(291\) −7.57717 5.82668i −0.444181 0.341566i
\(292\) 2.85119 10.6408i 0.166853 0.622704i
\(293\) 11.8909 + 11.8909i 0.694677 + 0.694677i 0.963257 0.268581i \(-0.0865545\pi\)
−0.268581 + 0.963257i \(0.586555\pi\)
\(294\) −8.31836 8.82071i −0.485137 0.514434i
\(295\) −29.3232 −1.70726
\(296\) −0.906026 1.56928i −0.0526617 0.0912127i
\(297\) 18.9476 14.4454i 1.09945 0.838208i
\(298\) −6.02067 3.47604i −0.348768 0.201361i
\(299\) −23.5163 0.439114i −1.35998 0.0253946i
\(300\) −0.711764 0.929586i −0.0410937 0.0536697i
\(301\) −8.03811 + 22.6240i −0.463309 + 1.30403i
\(302\) 1.55529i 0.0894970i
\(303\) 2.36718 5.69813i 0.135991 0.327349i
\(304\) 1.20736 0.323512i 0.0692470 0.0185547i
\(305\) 3.68747 + 13.7618i 0.211144 + 0.788000i
\(306\) −8.89081 + 15.3257i −0.508254 + 0.876113i
\(307\) −19.6594 + 19.6594i −1.12202 + 1.12202i −0.130583 + 0.991437i \(0.541685\pi\)
−0.991437 + 0.130583i \(0.958315\pi\)
\(308\) −9.99084 6.88185i −0.569281 0.392130i
\(309\) −10.1710 + 7.78774i −0.578610 + 0.443029i
\(310\) 14.1841 + 3.80062i 0.805604 + 0.215861i
\(311\) 4.60208 7.97103i 0.260960 0.451996i −0.705537 0.708673i \(-0.749294\pi\)
0.966497 + 0.256677i \(0.0826277\pi\)
\(312\) 5.81560 2.27569i 0.329244 0.128835i
\(313\) −0.335748 0.581532i −0.0189776 0.0328701i 0.856381 0.516345i \(-0.172708\pi\)
−0.875358 + 0.483475i \(0.839374\pi\)
\(314\) 6.19388 6.19388i 0.349541 0.349541i
\(315\) −17.8055 6.36783i −1.00323 0.358786i
\(316\) 7.62157i 0.428747i
\(317\) 15.8697 + 4.25228i 0.891332 + 0.238832i 0.675290 0.737552i \(-0.264018\pi\)
0.216042 + 0.976384i \(0.430685\pi\)
\(318\) 5.49159 + 4.22292i 0.307953 + 0.236809i
\(319\) 3.12294 + 11.6550i 0.174851 + 0.652554i
\(320\) 0.616617 2.30125i 0.0344699 0.128644i
\(321\) 7.60808 5.82534i 0.424641 0.325139i
\(322\) −1.37207 + 17.2047i −0.0764624 + 0.958778i
\(323\) 5.21999 + 5.21999i 0.290448 + 0.290448i
\(324\) 8.99992 + 0.0373946i 0.499996 + 0.00207748i
\(325\) −2.13305 + 1.17897i −0.118320 + 0.0653977i
\(326\) −4.46043 2.57523i −0.247040 0.142629i
\(327\) 28.0473 11.5834i 1.55102 0.640566i
\(328\) −2.75928 −0.152356
\(329\) −4.27271 + 6.20298i −0.235562 + 0.341981i
\(330\) −18.7568 2.48921i −1.03253 0.137026i
\(331\) −5.45650 + 20.3640i −0.299917 + 1.11930i 0.637317 + 0.770602i \(0.280044\pi\)
−0.937234 + 0.348702i \(0.886622\pi\)
\(332\) 13.3162 3.56808i 0.730824 0.195824i
\(333\) −5.43614 0.0112935i −0.297899 0.000618880i
\(334\) 8.56541 + 14.8357i 0.468678 + 0.811774i
\(335\) −24.4949 −1.33830
\(336\) −1.40702 4.36122i −0.0767595 0.237924i
\(337\) 14.5606i 0.793168i −0.917998 0.396584i \(-0.870196\pi\)
0.917998 0.396584i \(-0.129804\pi\)
\(338\) −2.89352 12.6739i −0.157387 0.689369i
\(339\) −2.13673 16.3614i −0.116051 0.888630i
\(340\) 13.5911 3.64172i 0.737080 0.197500i
\(341\) 24.4760 14.1312i 1.32545 0.765248i
\(342\) 0.978058 3.62006i 0.0528873 0.195751i
\(343\) 9.62742 + 15.8213i 0.519832 + 0.854269i
\(344\) −6.41681 + 6.41681i −0.345971 + 0.345971i
\(345\) 10.2755 + 24.8803i 0.553214 + 1.33951i
\(346\) −1.44174 5.38066i −0.0775086 0.289266i
\(347\) 16.7977 + 9.69816i 0.901748 + 0.520624i 0.877767 0.479088i \(-0.159033\pi\)
0.0239811 + 0.999712i \(0.492366\pi\)
\(348\) −1.74858 + 4.20907i −0.0937336 + 0.225630i
\(349\) 10.6752 10.6752i 0.571429 0.571429i −0.361099 0.932528i \(-0.617598\pi\)
0.932528 + 0.361099i \(0.117598\pi\)
\(350\) 0.768246 + 1.61499i 0.0410645 + 0.0863247i
\(351\) 2.84948 18.5170i 0.152094 0.988366i
\(352\) −2.29266 3.97101i −0.122199 0.211656i
\(353\) −4.17743 15.5904i −0.222342 0.829793i −0.983452 0.181170i \(-0.942012\pi\)
0.761109 0.648623i \(-0.224655\pi\)
\(354\) −21.1388 + 2.76064i −1.12351 + 0.146726i
\(355\) −24.5646 + 14.1824i −1.30375 + 0.752723i
\(356\) −6.76779 + 6.76779i −0.358692 + 0.358692i
\(357\) 18.1515 20.0752i 0.960680 1.06249i
\(358\) −13.8735 + 13.8735i −0.733236 + 0.733236i
\(359\) 7.58226 28.2974i 0.400176 1.49348i −0.412606 0.910910i \(-0.635381\pi\)
0.812782 0.582568i \(-0.197952\pi\)
\(360\) −5.04338 5.06438i −0.265809 0.266916i
\(361\) 15.1014 + 8.71881i 0.794811 + 0.458885i
\(362\) −4.59032 + 17.1313i −0.241262 + 0.900401i
\(363\) −13.7870 + 10.5564i −0.723627 + 0.554066i
\(364\) −9.41210 + 1.55320i −0.493328 + 0.0814097i
\(365\) 26.2451i 1.37373i
\(366\) 3.95387 + 9.57360i 0.206672 + 0.500420i
\(367\) −5.01646 + 8.68876i −0.261857 + 0.453550i −0.966735 0.255778i \(-0.917668\pi\)
0.704878 + 0.709328i \(0.251002\pi\)
\(368\) −3.26170 + 5.64943i −0.170028 + 0.294497i
\(369\) −4.15381 + 7.16021i −0.216238 + 0.372746i
\(370\) 3.05264 + 3.05264i 0.158699 + 0.158699i
\(371\) −6.86406 8.05375i −0.356364 0.418130i
\(372\) 10.5830 + 1.40446i 0.548703 + 0.0728180i
\(373\) −2.91895 5.05577i −0.151137 0.261778i 0.780508 0.625145i \(-0.214960\pi\)
−0.931646 + 0.363368i \(0.881627\pi\)
\(374\) 13.5404 23.4527i 0.700158 1.21271i
\(375\) −14.1446 10.8769i −0.730424 0.561680i
\(376\) −2.46547 + 1.42344i −0.127147 + 0.0734082i
\(377\) 8.12674 + 4.89651i 0.418548 + 0.252183i
\(378\) −13.4353 2.91420i −0.691038 0.149890i
\(379\) −3.71989 3.71989i −0.191078 0.191078i 0.605084 0.796162i \(-0.293140\pi\)
−0.796162 + 0.605084i \(0.793140\pi\)
\(380\) −2.57896 + 1.48896i −0.132298 + 0.0763821i
\(381\) 2.21297 + 16.9451i 0.113374 + 0.868126i
\(382\) −11.3870 + 3.05115i −0.582612 + 0.156110i
\(383\) 19.5605 + 5.24121i 0.999493 + 0.267813i 0.721233 0.692693i \(-0.243576\pi\)
0.278260 + 0.960506i \(0.410242\pi\)
\(384\) 0.227862 1.71700i 0.0116280 0.0876201i
\(385\) 27.2349 + 9.67631i 1.38802 + 0.493150i
\(386\) 14.3468i 0.730233i
\(387\) 6.99150 + 26.3112i 0.355398 + 1.33747i
\(388\) 1.42831 + 5.33052i 0.0725114 + 0.270616i
\(389\) −16.8379 + 29.1641i −0.853716 + 1.47868i 0.0241159 + 0.999709i \(0.492323\pi\)
−0.877831 + 0.478970i \(0.841010\pi\)
\(390\) −11.9799 + 8.82291i −0.606627 + 0.446766i
\(391\) −38.5270 −1.94839
\(392\) 0.717195 + 6.96316i 0.0362238 + 0.351693i
\(393\) −15.9363 + 12.2021i −0.803881 + 0.615514i
\(394\) −8.92297 + 5.15168i −0.449533 + 0.259538i
\(395\) −4.69959 17.5391i −0.236462 0.882488i
\(396\) −13.7560 0.0285778i −0.691263 0.00143609i
\(397\) −18.2600 4.89277i −0.916446 0.245561i −0.230380 0.973101i \(-0.573997\pi\)
−0.686065 + 0.727540i \(0.740664\pi\)
\(398\) −3.44006 3.44006i −0.172435 0.172435i
\(399\) −2.61107 + 5.09827i −0.130717 + 0.255233i
\(400\) 0.675953i 0.0337977i
\(401\) 1.00798 3.76183i 0.0503361 0.187857i −0.936180 0.351521i \(-0.885665\pi\)
0.986516 + 0.163664i \(0.0523313\pi\)
\(402\) −17.6581 + 2.30608i −0.880706 + 0.115017i
\(403\) 6.15160 21.3550i 0.306433 1.06377i
\(404\) −3.08513 + 1.78120i −0.153491 + 0.0886181i
\(405\) −20.7341 + 5.46345i −1.03029 + 0.271481i
\(406\) 3.94941 5.73362i 0.196006 0.284555i
\(407\) 8.30885 0.411855
\(408\) 9.45483 3.90482i 0.468084 0.193317i
\(409\) −24.6669 + 6.60947i −1.21970 + 0.326817i −0.810561 0.585655i \(-0.800837\pi\)
−0.409139 + 0.912472i \(0.634171\pi\)
\(410\) 6.34979 1.70142i 0.313594 0.0840271i
\(411\) 17.5534 7.24952i 0.865847 0.357592i
\(412\) 7.39592 0.364371
\(413\) 32.4612 + 2.58877i 1.59731 + 0.127385i
\(414\) 9.74986 + 16.9686i 0.479180 + 0.833960i
\(415\) −28.4438 + 16.4220i −1.39625 + 0.806126i
\(416\) −3.46467 0.998043i −0.169869 0.0489331i
\(417\) 23.4747 3.06570i 1.14956 0.150128i
\(418\) −1.48341 + 5.53616i −0.0725559 + 0.270782i
\(419\) 7.12445i 0.348052i 0.984741 + 0.174026i \(0.0556777\pi\)
−0.984741 + 0.174026i \(0.944322\pi\)
\(420\) 5.92712 + 9.16866i 0.289214 + 0.447385i
\(421\) 22.3930 + 22.3930i 1.09137 + 1.09137i 0.995383 + 0.0959846i \(0.0306000\pi\)
0.0959846 + 0.995383i \(0.469400\pi\)
\(422\) 12.2111 + 3.27196i 0.594428 + 0.159276i
\(423\) −0.0177430 + 8.54061i −0.000862693 + 0.415259i
\(424\) −1.03518 3.86333i −0.0502725 0.187620i
\(425\) −3.45731 + 1.99608i −0.167704 + 0.0968241i
\(426\) −16.3732 + 12.5366i −0.793283 + 0.607399i
\(427\) −2.86713 15.5601i −0.138750 0.753005i
\(428\) −5.53225 −0.267411
\(429\) −4.29646 + 28.3112i −0.207435 + 1.36688i
\(430\) 10.8099 18.7234i 0.521302 0.902922i
\(431\) 3.64052 + 13.5866i 0.175358 + 0.654444i 0.996490 + 0.0837069i \(0.0266759\pi\)
−0.821133 + 0.570737i \(0.806657\pi\)
\(432\) −4.11251 3.17605i −0.197863 0.152808i
\(433\) 16.2153i 0.779258i −0.920972 0.389629i \(-0.872603\pi\)
0.920972 0.389629i \(-0.127397\pi\)
\(434\) −15.3665 5.45957i −0.737614 0.262068i
\(435\) 1.42853 10.7643i 0.0684925 0.516109i
\(436\) −16.9228 4.53445i −0.810455 0.217161i
\(437\) 7.87610 2.11040i 0.376765 0.100954i
\(438\) 2.47086 + 18.9199i 0.118062 + 0.904026i
\(439\) −26.9408 + 15.5543i −1.28581 + 0.742364i −0.977904 0.209052i \(-0.932962\pi\)
−0.307908 + 0.951416i \(0.599629\pi\)
\(440\) 7.72458 + 7.72458i 0.368255 + 0.368255i
\(441\) 19.1488 + 8.62122i 0.911845 + 0.410534i
\(442\) −5.12640 20.6680i −0.243838 0.983076i
\(443\) −32.7373 + 18.9009i −1.55540 + 0.898009i −0.557710 + 0.830036i \(0.688320\pi\)
−0.997687 + 0.0679735i \(0.978347\pi\)
\(444\) 2.48801 + 1.91322i 0.118075 + 0.0907975i
\(445\) 11.4012 19.7475i 0.540470 0.936121i
\(446\) 12.4067 + 21.4890i 0.587473 + 1.01753i
\(447\) 11.9367 + 1.58411i 0.564586 + 0.0749259i
\(448\) −0.885767 + 2.49307i −0.0418486 + 0.117787i
\(449\) −13.4565 13.4565i −0.635052 0.635052i 0.314279 0.949331i \(-0.398237\pi\)
−0.949331 + 0.314279i \(0.898237\pi\)
\(450\) 1.75407 + 1.01758i 0.0826875 + 0.0479690i
\(451\) 6.32611 10.9571i 0.297885 0.515951i
\(452\) −4.76324 + 8.25018i −0.224044 + 0.388056i
\(453\) −1.02830 2.48986i −0.0483139 0.116984i
\(454\) 2.65180i 0.124455i
\(455\) 20.7018 9.37795i 0.970517 0.439645i
\(456\) −1.71896 + 1.31617i −0.0804979 + 0.0616355i
\(457\) 10.1586 37.9125i 0.475200 1.77347i −0.145429 0.989369i \(-0.546456\pi\)
0.620630 0.784104i \(-0.286877\pi\)
\(458\) 25.2642 + 14.5863i 1.18052 + 0.681573i
\(459\) 4.10042 30.4131i 0.191391 1.41956i
\(460\) 4.02244 15.0119i 0.187547 0.699935i
\(461\) 16.6508 16.6508i 0.775507 0.775507i −0.203556 0.979063i \(-0.565250\pi\)
0.979063 + 0.203556i \(0.0652501\pi\)
\(462\) 20.5443 + 4.41152i 0.955808 + 0.205242i
\(463\) 25.1246 25.1246i 1.16764 1.16764i 0.184875 0.982762i \(-0.440812\pi\)
0.982762 0.184875i \(-0.0591880\pi\)
\(464\) 2.27891 1.31573i 0.105796 0.0610813i
\(465\) −25.2201 + 3.29364i −1.16955 + 0.152739i
\(466\) −0.866737 3.23471i −0.0401508 0.149845i
\(467\) 3.52969 + 6.11361i 0.163335 + 0.282904i 0.936063 0.351833i \(-0.114442\pi\)
−0.772728 + 0.634737i \(0.781108\pi\)
\(468\) −7.80556 + 7.48820i −0.360812 + 0.346142i
\(469\) 27.1161 + 2.16251i 1.25211 + 0.0998553i
\(470\) 4.79593 4.79593i 0.221220 0.221220i
\(471\) −5.82057 + 14.0109i −0.268198 + 0.645589i
\(472\) 10.6591 + 6.15406i 0.490627 + 0.283264i
\(473\) −10.7696 40.1928i −0.495188 1.84807i
\(474\) −5.03911 12.2013i −0.231454 0.560425i
\(475\) 0.597442 0.597442i 0.0274125 0.0274125i
\(476\) −15.3670 + 2.83156i −0.704347 + 0.129784i
\(477\) −11.5835 3.12960i −0.530372 0.143294i
\(478\) 13.9659 8.06321i 0.638785 0.368803i
\(479\) 23.0930 6.18775i 1.05515 0.282725i 0.310769 0.950485i \(-0.399413\pi\)
0.744377 + 0.667760i \(0.232747\pi\)
\(480\) 0.534364 + 4.09174i 0.0243903 + 0.186761i
\(481\) 4.70529 4.53279i 0.214543 0.206677i
\(482\) 0.170765i 0.00777813i
\(483\) −9.17857 28.4500i −0.417640 1.29452i
\(484\) 10.0253 0.455693
\(485\) −6.57378 11.3861i −0.298500 0.517017i
\(486\) −14.4326 + 5.89057i −0.654678 + 0.267201i
\(487\) −21.2854 + 5.70340i −0.964532 + 0.258446i −0.706518 0.707696i \(-0.749735\pi\)
−0.258014 + 0.966141i \(0.583068\pi\)
\(488\) 1.54778 5.77639i 0.0700647 0.261485i
\(489\) 8.84332 + 1.17359i 0.399909 + 0.0530717i
\(490\) −5.94405 15.5817i −0.268525 0.703910i
\(491\) −14.7153 −0.664093 −0.332047 0.943263i \(-0.607739\pi\)
−0.332047 + 0.943263i \(0.607739\pi\)
\(492\) 4.41732 1.82434i 0.199148 0.0822475i
\(493\) 13.4592 + 7.77067i 0.606172 + 0.349973i
\(494\) 2.18013 + 3.94437i 0.0980885 + 0.177466i
\(495\) 31.6735 8.41640i 1.42362 0.378289i
\(496\) −4.35837 4.35837i −0.195697 0.195697i
\(497\) 28.4454 13.5314i 1.27595 0.606968i
\(498\) −18.9588 + 14.5163i −0.849564 + 0.650493i
\(499\) −7.60278 + 28.3740i −0.340347 + 1.27019i 0.557607 + 0.830105i \(0.311719\pi\)
−0.897955 + 0.440088i \(0.854947\pi\)
\(500\) 2.66628 + 9.95070i 0.119240 + 0.445009i
\(501\) −23.5212 18.0873i −1.05085 0.808080i
\(502\) −1.92723 0.516399i −0.0860164 0.0230480i
\(503\) 14.9068i 0.664661i −0.943163 0.332330i \(-0.892165\pi\)
0.943163 0.332330i \(-0.107835\pi\)
\(504\) 5.13598 + 6.05158i 0.228775 + 0.269559i
\(505\) 6.00133 6.00133i 0.267056 0.267056i
\(506\) −14.9560 25.9045i −0.664874 1.15159i
\(507\) 13.0117 + 18.3765i 0.577872 + 0.816128i
\(508\) 4.93318 8.54451i 0.218874 0.379102i
\(509\) −11.7733 3.15465i −0.521842 0.139827i −0.0117237 0.999931i \(-0.503732\pi\)
−0.510119 + 0.860104i \(0.670399\pi\)
\(510\) −19.3501 + 14.8160i −0.856838 + 0.656062i
\(511\) 2.31703 29.0537i 0.102499 1.28526i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 0.827690 + 6.44199i 0.0365434 + 0.284421i
\(514\) 1.21206 + 4.52345i 0.0534615 + 0.199521i
\(515\) −17.0198 + 4.56045i −0.749984 + 0.200958i
\(516\) 6.03007 14.5152i 0.265459 0.638996i
\(517\) 13.0539i 0.574108i
\(518\) −3.10981 3.64881i −0.136637 0.160319i
\(519\) 5.86558 + 7.66064i 0.257470 + 0.336265i
\(520\) 8.58846 + 0.160370i 0.376629 + 0.00703269i
\(521\) 15.6521 + 9.03674i 0.685730 + 0.395907i 0.802011 0.597310i \(-0.203764\pi\)
−0.116280 + 0.993216i \(0.537097\pi\)
\(522\) 0.0164004 7.89437i 0.000717828 0.345527i
\(523\) 20.6715 + 35.8040i 0.903900 + 1.56560i 0.822387 + 0.568929i \(0.192642\pi\)
0.0815139 + 0.996672i \(0.474025\pi\)
\(524\) 11.5882 0.506232
\(525\) −2.29765 2.07749i −0.100278 0.0906690i
\(526\) 6.51266 + 6.51266i 0.283965 + 0.283965i
\(527\) 9.42164 35.1620i 0.410413 1.53168i
\(528\) 6.29581 + 4.84134i 0.273990 + 0.210692i
\(529\) −9.77735 + 16.9349i −0.425102 + 0.736298i
\(530\) 4.76439 + 8.25216i 0.206952 + 0.358451i
\(531\) 32.0157 18.3957i 1.38936 0.798306i
\(532\) 2.98639 1.42062i 0.129476 0.0615916i
\(533\) −2.39506 9.65613i −0.103742 0.418253i
\(534\) 6.35989 15.3091i 0.275220 0.662492i
\(535\) 12.7311 3.41128i 0.550412 0.147483i
\(536\) 8.90402 + 5.14074i 0.384595 + 0.222046i
\(537\) 13.0373 31.3826i 0.562601 1.35426i
\(538\) −9.06464 9.06464i −0.390805 0.390805i
\(539\) −29.2951 13.1162i −1.26183 0.564955i
\(540\) 11.4223 + 4.77303i 0.491538 + 0.205398i
\(541\) 5.39985 + 1.44688i 0.232158 + 0.0622064i 0.373022 0.927822i \(-0.378322\pi\)
−0.140865 + 0.990029i \(0.544988\pi\)
\(542\) −6.65409 3.84174i −0.285818 0.165017i
\(543\) −3.97800 30.4603i −0.170712 1.30718i
\(544\) −5.70473 1.52858i −0.244588 0.0655372i
\(545\) 41.7395 1.78793
\(546\) 14.0409 8.70945i 0.600893 0.372730i
\(547\) 17.8720 0.764151 0.382076 0.924131i \(-0.375209\pi\)
0.382076 + 0.924131i \(0.375209\pi\)
\(548\) −10.5912 2.83789i −0.452432 0.121229i
\(549\) −12.6595 12.7122i −0.540292 0.542542i
\(550\) −2.68422 1.54973i −0.114455 0.0660809i
\(551\) −3.17713 0.851309i −0.135350 0.0362670i
\(552\) 1.48643 11.2007i 0.0632667 0.476731i
\(553\) 3.65409 + 19.8309i 0.155388 + 0.843297i
\(554\) 20.4230 + 20.4230i 0.867691 + 0.867691i
\(555\) −6.90524 2.86865i −0.293111 0.121767i
\(556\) −11.8370 6.83410i −0.502001 0.289831i
\(557\) 26.3606 7.06329i 1.11693 0.299281i 0.347291 0.937757i \(-0.387101\pi\)
0.769642 + 0.638476i \(0.220435\pi\)
\(558\) −17.8708 + 4.74871i −0.756533 + 0.201029i
\(559\) −28.0255 16.8859i −1.18535 0.714197i
\(560\) 0.501097 6.28336i 0.0211752 0.265520i
\(561\) −6.17068 + 46.4977i −0.260526 + 1.96313i
\(562\) −9.43745 16.3461i −0.398095 0.689520i
\(563\) −19.9093 + 34.4839i −0.839077 + 1.45332i 0.0515896 + 0.998668i \(0.483571\pi\)
−0.890667 + 0.454656i \(0.849762\pi\)
\(564\) 3.00582 3.90885i 0.126568 0.164592i
\(565\) 5.87419 21.9228i 0.247129 0.922299i
\(566\) 17.4810 + 17.4810i 0.734780 + 0.734780i
\(567\) 23.4353 4.21762i 0.984189 0.177124i
\(568\) 11.9058 0.499558
\(569\) −4.97543 8.61769i −0.208581 0.361273i 0.742687 0.669639i \(-0.233551\pi\)
−0.951268 + 0.308366i \(0.900218\pi\)
\(570\) 3.14419 4.08878i 0.131695 0.171260i
\(571\) 7.41972 + 4.28378i 0.310506 + 0.179271i 0.647153 0.762360i \(-0.275960\pi\)
−0.336647 + 0.941631i \(0.609293\pi\)
\(572\) 11.9066 11.4701i 0.497838 0.479587i
\(573\) 16.2121 12.4133i 0.677272 0.518572i
\(574\) −7.17951 + 1.32291i −0.299667 + 0.0552172i
\(575\) 4.40951i 0.183889i
\(576\) 0.770435 + 2.89938i 0.0321015 + 0.120808i
\(577\) 15.8921 4.25827i 0.661595 0.177274i 0.0876294 0.996153i \(-0.472071\pi\)
0.573966 + 0.818879i \(0.305404\pi\)
\(578\) −4.62781 17.2712i −0.192491 0.718388i
\(579\) 9.48560 + 22.9677i 0.394208 + 0.954505i
\(580\) −4.43304 + 4.43304i −0.184072 + 0.184072i
\(581\) 32.9375 15.6683i 1.36648 0.650030i
\(582\) −5.81093 7.58925i −0.240871 0.314585i
\(583\) 17.7146 + 4.74662i 0.733665 + 0.196585i
\(584\) 5.50807 9.54026i 0.227926 0.394779i
\(585\) 13.3452 22.0452i 0.551755 0.911459i
\(586\) 8.40817 + 14.5634i 0.347338 + 0.601608i
\(587\) 4.66629 4.66629i 0.192598 0.192598i −0.604220 0.796818i \(-0.706515\pi\)
0.796818 + 0.604220i \(0.206515\pi\)
\(588\) −5.75195 10.6731i −0.237206 0.440151i
\(589\) 7.70430i 0.317450i
\(590\) −28.3240 7.58940i −1.16608 0.312451i
\(591\) 10.8786 14.1468i 0.447486 0.581923i
\(592\) −0.468993 1.75031i −0.0192755 0.0719372i
\(593\) 1.42643 5.32351i 0.0585764 0.218610i −0.930433 0.366462i \(-0.880569\pi\)
0.989010 + 0.147851i \(0.0472358\pi\)
\(594\) 22.0407 9.04920i 0.904342 0.371293i
\(595\) 33.6173 15.9917i 1.37818 0.655595i
\(596\) −4.91586 4.91586i −0.201361 0.201361i
\(597\) 7.78162 + 3.23273i 0.318481 + 0.132307i
\(598\) −22.6014 6.51063i −0.924239 0.266239i
\(599\) −9.40210 5.42830i −0.384159 0.221794i 0.295467 0.955353i \(-0.404525\pi\)
−0.679626 + 0.733558i \(0.737858\pi\)
\(600\) −0.446916 1.08213i −0.0182453 0.0441777i
\(601\) −26.6804 −1.08832 −0.544158 0.838983i \(-0.683151\pi\)
−0.544158 + 0.838983i \(0.683151\pi\)
\(602\) −13.6197 + 19.7727i −0.555099 + 0.805875i
\(603\) 26.7441 15.3667i 1.08910 0.625780i
\(604\) −0.402539 + 1.50230i −0.0163791 + 0.0611276i
\(605\) −23.0706 + 6.18174i −0.937952 + 0.251324i
\(606\) 3.76130 4.89130i 0.152792 0.198695i
\(607\) 12.6413 + 21.8954i 0.513096 + 0.888709i 0.999885 + 0.0151889i \(0.00483495\pi\)
−0.486788 + 0.873520i \(0.661832\pi\)
\(608\) 1.24995 0.0506923
\(609\) −2.53171 + 11.7901i −0.102590 + 0.477760i
\(610\) 14.2473i 0.576856i
\(611\) −7.12137 7.39238i −0.288100 0.299064i
\(612\) −12.5545 + 12.5024i −0.507484 + 0.505379i
\(613\) −3.73761 + 1.00149i −0.150961 + 0.0404498i −0.333508 0.942747i \(-0.608232\pi\)
0.182547 + 0.983197i \(0.441566\pi\)
\(614\) −24.0777 + 13.9013i −0.971698 + 0.561010i
\(615\) −9.04041 + 6.92205i −0.364545 + 0.279124i
\(616\) −7.86926 9.23318i −0.317061 0.372015i
\(617\) −25.9937 + 25.9937i −1.04647 + 1.04647i −0.0476003 + 0.998866i \(0.515157\pi\)
−0.998866 + 0.0476003i \(0.984843\pi\)
\(618\) −11.8401 + 4.88992i −0.476278 + 0.196701i
\(619\) −10.3156 38.4985i −0.414620 1.54738i −0.785595 0.618741i \(-0.787643\pi\)
0.370974 0.928643i \(-0.379024\pi\)
\(620\) 12.7171 + 7.34224i 0.510732 + 0.294871i
\(621\) −26.8275 20.7186i −1.07655 0.831410i
\(622\) 6.50832 6.50832i 0.260960 0.260960i
\(623\) −14.3647 + 20.8542i −0.575510 + 0.835506i
\(624\) 6.20643 0.692954i 0.248456 0.0277404i
\(625\) −13.9614 24.1819i −0.558457 0.967276i
\(626\) −0.173796 0.648615i −0.00694628 0.0259239i
\(627\) −1.28553 9.84357i −0.0513391 0.393114i
\(628\) 7.58593 4.37974i 0.302711 0.174771i
\(629\) 7.56740 7.56740i 0.301732 0.301732i
\(630\) −15.5507 10.7593i −0.619554 0.428659i
\(631\) −10.6209 + 10.6209i −0.422810 + 0.422810i −0.886170 0.463360i \(-0.846644\pi\)
0.463360 + 0.886170i \(0.346644\pi\)
\(632\) −1.97261 + 7.36187i −0.0784661 + 0.292839i
\(633\) −21.7120 + 2.83550i −0.862974 + 0.112701i
\(634\) 14.2284 + 8.21477i 0.565082 + 0.326250i
\(635\) −6.08376 + 22.7049i −0.241427 + 0.901017i
\(636\) 4.21150 + 5.50035i 0.166997 + 0.218103i
\(637\) −23.7451 + 8.55388i −0.940816 + 0.338917i
\(638\) 12.0661i 0.477702i
\(639\) 17.9230 30.8951i 0.709022 1.22219i
\(640\) 1.19121 2.06324i 0.0470868 0.0815568i
\(641\) −9.26467 + 16.0469i −0.365932 + 0.633813i −0.988925 0.148414i \(-0.952583\pi\)
0.622993 + 0.782227i \(0.285917\pi\)
\(642\) 8.85655 3.65773i 0.349540 0.144359i
\(643\) 3.00300 + 3.00300i 0.118427 + 0.118427i 0.763837 0.645410i \(-0.223313\pi\)
−0.645410 + 0.763837i \(0.723313\pi\)
\(644\) −5.77821 + 16.2633i −0.227693 + 0.640864i
\(645\) −4.92635 + 37.1213i −0.193975 + 1.46165i
\(646\) 3.69109 + 6.39316i 0.145224 + 0.251536i
\(647\) −12.8937 + 22.3326i −0.506905 + 0.877984i 0.493064 + 0.869993i \(0.335877\pi\)
−0.999968 + 0.00799108i \(0.997456\pi\)
\(648\) 8.68358 + 2.36547i 0.341123 + 0.0929245i
\(649\) −48.8757 + 28.2184i −1.91854 + 1.10767i
\(650\) −2.36550 + 0.586729i −0.0927827 + 0.0230134i
\(651\) 28.2098 1.41957i 1.10563 0.0556374i
\(652\) −3.64192 3.64192i −0.142629 0.142629i
\(653\) −9.02412 + 5.21008i −0.353141 + 0.203886i −0.666068 0.745891i \(-0.732024\pi\)
0.312927 + 0.949777i \(0.398691\pi\)
\(654\) 30.0896 3.92958i 1.17660 0.153659i
\(655\) −26.6673 + 7.14547i −1.04198 + 0.279197i
\(656\) −2.66526 0.714154i −0.104061 0.0278830i
\(657\) −16.4647 28.6550i −0.642350 1.11794i
\(658\) −5.73257 + 4.88576i −0.223479 + 0.190467i
\(659\) 4.15768i 0.161960i −0.996716 0.0809801i \(-0.974195\pi\)
0.996716 0.0809801i \(-0.0258050\pi\)
\(660\) −17.4735 7.25902i −0.680153 0.282557i
\(661\) 4.26508 + 15.9175i 0.165892 + 0.619119i 0.997925 + 0.0643916i \(0.0205107\pi\)
−0.832032 + 0.554727i \(0.812823\pi\)
\(662\) −10.5412 + 18.2578i −0.409694 + 0.709610i
\(663\) 21.8718 + 29.6979i 0.849429 + 1.15337i
\(664\) 13.7860 0.535000
\(665\) −5.99644 + 5.11065i −0.232532 + 0.198183i
\(666\) −5.24799 1.41789i −0.203355 0.0549420i
\(667\) 14.8663 8.58304i 0.575624 0.332337i
\(668\) 4.43378 + 16.5471i 0.171548 + 0.640226i
\(669\) −34.0695 26.1987i −1.31720 1.01290i
\(670\) −23.6602 6.33974i −0.914074 0.244925i
\(671\) 19.3896 + 19.3896i 0.748527 + 0.748527i
\(672\) −0.230313 4.57678i −0.00888451 0.176553i
\(673\) 38.1500i 1.47057i 0.677756 + 0.735287i \(0.262953\pi\)
−0.677756 + 0.735287i \(0.737047\pi\)
\(674\) 3.76857 14.0645i 0.145160 0.541744i
\(675\) −3.48086 0.469304i −0.133978 0.0180635i
\(676\) 0.485322 12.9909i 0.0186662 0.499651i
\(677\) 5.93487 3.42650i 0.228095 0.131691i −0.381598 0.924329i \(-0.624626\pi\)
0.609693 + 0.792638i \(0.291293\pi\)
\(678\) 2.17072 16.3569i 0.0833660 0.628185i
\(679\) 6.27205 + 13.1850i 0.240699 + 0.505992i
\(680\) 14.0705 0.539580
\(681\) 1.75328 + 4.24526i 0.0671858 + 0.162679i
\(682\) 27.2994 7.31486i 1.04535 0.280100i
\(683\) 37.9107 10.1582i 1.45061 0.388691i 0.554377 0.832266i \(-0.312957\pi\)
0.896237 + 0.443575i \(0.146290\pi\)
\(684\) 1.88167 3.24357i 0.0719476 0.124021i
\(685\) 26.1228 0.998099
\(686\) 5.20452 + 17.7739i 0.198710 + 0.678612i
\(687\) −50.0893 6.64732i −1.91103 0.253611i
\(688\) −7.85896 + 4.53737i −0.299620 + 0.172986i
\(689\) 12.6212 6.97598i 0.480830 0.265764i
\(690\) 3.48587 + 26.6920i 0.132705 + 1.01615i
\(691\) 9.21173 34.3787i 0.350431 1.30783i −0.535707 0.844404i \(-0.679955\pi\)
0.886138 0.463422i \(-0.153379\pi\)
\(692\) 5.57047i 0.211758i
\(693\) −35.8060 + 6.52080i −1.36016 + 0.247705i
\(694\) 13.7153 + 13.7153i 0.520624 + 0.520624i
\(695\) 31.4539 + 8.42805i 1.19312 + 0.319694i
\(696\) −2.77838 + 3.61308i −0.105314 + 0.136954i
\(697\) −4.21777 15.7409i −0.159760 0.596231i
\(698\) 13.0744 7.54849i 0.494872 0.285715i
\(699\) 3.52623 + 4.60537i 0.133374 + 0.174191i
\(700\) 0.324079 + 1.75880i 0.0122490 + 0.0664762i
\(701\) 39.9380 1.50844 0.754219 0.656623i \(-0.228016\pi\)
0.754219 + 0.656623i \(0.228016\pi\)
\(702\) 7.54495 17.1486i 0.284766 0.647231i
\(703\) −1.13249 + 1.96153i −0.0427127 + 0.0739805i
\(704\) −1.18677 4.42909i −0.0447281 0.166928i
\(705\) −4.50688 + 10.8487i −0.169739 + 0.408585i
\(706\) 16.1404i 0.607451i
\(707\) −7.17338 + 6.11373i −0.269783 + 0.229931i
\(708\) −21.1330 2.80455i −0.794227 0.105401i
\(709\) 7.29558 + 1.95485i 0.273991 + 0.0734157i 0.393198 0.919454i \(-0.371369\pi\)
−0.119207 + 0.992869i \(0.538035\pi\)
\(710\) −27.3983 + 7.34135i −1.02824 + 0.275516i
\(711\) 16.1342 + 16.2013i 0.605079 + 0.607598i
\(712\) −8.28882 + 4.78555i −0.310637 + 0.179346i
\(713\) −28.4314 28.4314i −1.06476 1.06476i
\(714\) 22.7289 14.6932i 0.850606 0.549878i
\(715\) −20.3273 + 33.7372i −0.760198 + 1.26170i
\(716\) −16.9915 + 9.81003i −0.635001 + 0.366618i
\(717\) −17.0268 + 22.1421i −0.635877 + 0.826911i
\(718\) 14.6478 25.3707i 0.546651 0.946827i
\(719\) −7.00483 12.1327i −0.261236 0.452474i 0.705334 0.708875i \(-0.250797\pi\)
−0.966571 + 0.256400i \(0.917464\pi\)
\(720\) −3.56077 6.19713i −0.132702 0.230954i
\(721\) 19.2438 3.54590i 0.716677 0.132056i
\(722\) 12.3303 + 12.3303i 0.458885 + 0.458885i
\(723\) −0.112904 0.273377i −0.00419894 0.0101670i
\(724\) −8.86781 + 15.3595i −0.329570 + 0.570831i
\(725\) 0.889373 1.54044i 0.0330305 0.0572105i
\(726\) −16.0494 + 6.62834i −0.595648 + 0.246001i
\(727\) 12.8052i 0.474920i 0.971397 + 0.237460i \(0.0763148\pi\)
−0.971397 + 0.237460i \(0.923685\pi\)
\(728\) −9.49339 0.935757i −0.351848 0.0346815i
\(729\) 19.2105 18.9725i 0.711500 0.702686i
\(730\) −6.79274 + 25.3509i −0.251411 + 0.938277i
\(731\) −46.4148 26.7976i −1.71671 0.991144i
\(732\) 1.34131 + 10.2707i 0.0495764 + 0.379617i
\(733\) 1.69855 6.33907i 0.0627374 0.234139i −0.927437 0.373981i \(-0.877993\pi\)
0.990174 + 0.139842i \(0.0446593\pi\)
\(734\) −7.09434 + 7.09434i −0.261857 + 0.261857i
\(735\) 19.8179 + 21.0147i 0.730993 + 0.775138i
\(736\) −4.61274 + 4.61274i −0.170028 + 0.170028i
\(737\) −40.8279 + 23.5720i −1.50391 + 0.868285i
\(738\) −5.86547 + 5.84115i −0.215911 + 0.215016i
\(739\) 6.90336 + 25.7637i 0.253944 + 0.947733i 0.968675 + 0.248333i \(0.0798826\pi\)
−0.714731 + 0.699400i \(0.753451\pi\)
\(740\) 2.15854 + 3.73870i 0.0793495 + 0.137437i
\(741\) −6.09803 4.87309i −0.224017 0.179018i
\(742\) −4.54571 9.55587i −0.166878 0.350807i
\(743\) 26.6794 26.6794i 0.978774 0.978774i −0.0210054 0.999779i \(-0.506687\pi\)
0.999779 + 0.0210054i \(0.00668672\pi\)
\(744\) 9.85889 + 4.09569i 0.361444 + 0.150155i
\(745\) 14.3438 + 8.28140i 0.525517 + 0.303407i
\(746\) −1.51096 5.63897i −0.0553201 0.206458i
\(747\) 20.7533 35.7740i 0.759325 1.30890i
\(748\) 19.1490 19.1490i 0.700158 0.700158i
\(749\) −14.3946 + 2.65238i −0.525968 + 0.0969159i
\(750\) −10.8475 14.1672i −0.396094 0.517312i
\(751\) −30.1950 + 17.4331i −1.10183 + 0.636143i −0.936702 0.350129i \(-0.886138\pi\)
−0.165130 + 0.986272i \(0.552804\pi\)
\(752\) −2.74987 + 0.736826i −0.100277 + 0.0268693i
\(753\) 3.42671 0.447514i 0.124876 0.0163083i
\(754\) 6.58252 + 6.83302i 0.239721 + 0.248844i
\(755\) 3.70537i 0.134852i
\(756\) −12.2233 6.29221i −0.444556 0.228846i
\(757\) −5.50127 −0.199947 −0.0999736 0.994990i \(-0.531876\pi\)
−0.0999736 + 0.994990i \(0.531876\pi\)
\(758\) −2.63036 4.55592i −0.0955391 0.165479i
\(759\) 41.0700 + 31.5820i 1.49075 + 1.14635i
\(760\) −2.87645 + 0.770743i −0.104340 + 0.0279578i
\(761\) 1.61189 6.01567i 0.0584311 0.218068i −0.930537 0.366199i \(-0.880659\pi\)
0.988968 + 0.148131i \(0.0473257\pi\)
\(762\) −2.24816 + 16.9405i −0.0814424 + 0.613690i
\(763\) −46.2062 3.68494i −1.67278 0.133404i
\(764\) −11.7887 −0.426501
\(765\) 21.1817 36.5124i 0.765826 1.32011i
\(766\) 17.5374 + 10.1252i 0.633653 + 0.365840i
\(767\) −12.2840 + 42.6435i −0.443551 + 1.53977i
\(768\) 0.664489 1.59952i 0.0239777 0.0577176i
\(769\) 25.1323 + 25.1323i 0.906294 + 0.906294i 0.995971 0.0896769i \(-0.0285834\pi\)
−0.0896769 + 0.995971i \(0.528583\pi\)
\(770\) 23.8024 + 16.3955i 0.857780 + 0.590853i
\(771\) −4.93112 6.44020i −0.177590 0.231938i
\(772\) 3.71322 13.8579i 0.133642 0.498758i
\(773\) 1.54943 + 5.78255i 0.0557291 + 0.207984i 0.988176