Properties

Label 546.2.bv.a.317.12
Level $546$
Weight $2$
Character 546.317
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 317.12
Character \(\chi\) \(=\) 546.317
Dual form 546.2.bv.a.515.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.664489 - 1.59952i) q^{3} +(0.866025 - 0.500000i) q^{4} +(2.30125 - 0.616617i) q^{5} +(-0.227862 + 1.71700i) q^{6} +(2.49307 - 0.885767i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.11691 - 2.12572i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.664489 - 1.59952i) q^{3} +(0.866025 - 0.500000i) q^{4} +(2.30125 - 0.616617i) q^{5} +(-0.227862 + 1.71700i) q^{6} +(2.49307 - 0.885767i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.11691 - 2.12572i) q^{9} +(-2.06324 + 1.19121i) q^{10} +(4.42909 + 1.18677i) q^{11} +(-0.224294 - 1.71747i) q^{12} +(-1.86076 - 3.08830i) q^{13} +(-2.17887 + 1.50084i) q^{14} +(0.542863 - 4.09062i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.95298 + 5.11472i) q^{17} +(2.59495 + 1.50539i) q^{18} +(0.323512 + 1.20736i) q^{19} +(1.68463 - 1.68463i) q^{20} +(0.239820 - 4.57630i) q^{21} -4.58533 q^{22} +(-3.26170 + 5.64943i) q^{23} +(0.661165 + 1.60089i) 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} +(0.534364 + 4.09174i) q^{30} +(-5.95364 - 1.59527i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(4.84134 - 6.29581i) 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} +(-6.17624 + 0.924172i) q^{39} +(-1.19121 + 2.06324i) q^{40} +(1.95111 + 1.95111i) q^{41} +(0.952784 + 4.48243i) q^{42} -9.07474i q^{43} +(4.42909 - 1.18677i) q^{44} +(-6.18229 - 3.58649i) 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} +(10.1433 - 1.32467i) q^{51} +(-3.15561 - 1.74417i) q^{52} +(3.46376 - 1.99980i) q^{53} +(4.13222 - 3.15036i) q^{54} +10.9242 q^{55} +(-1.13654 + 2.38920i) q^{56} +(2.14617 + 0.284816i) q^{57} +(0.681073 + 2.54180i) q^{58} +(-11.8887 - 3.18558i) q^{59} +(-1.57518 - 3.81401i) q^{60} +(-2.99008 + 5.17897i) q^{61} +6.16367 q^{62} +(-7.16051 - 3.42450i) q^{63} -1.00000i q^{64} +(-6.18636 - 5.95956i) q^{65} +(-3.04690 + 7.33431i) 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} +(2.99999 + 0.00623244i) q^{72} +(-2.85119 + 10.6408i) q^{73} +(1.56928 - 0.906026i) q^{74} +(-0.151612 - 1.16093i) q^{75} +(0.883851 + 0.883851i) q^{76} +(12.0932 - 0.964434i) q^{77} +(5.72659 - 2.49121i) q^{78} +(3.81078 - 6.60047i) q^{79} +(0.616617 - 2.30125i) q^{80} +(-0.0373946 + 8.99992i) q^{81} +(-2.38961 - 1.37964i) q^{82} +(-9.74816 - 9.74816i) q^{83} +(-2.08046 - 4.08310i) q^{84} +(9.94937 + 9.94937i) q^{85} +(2.34872 + 8.76553i) q^{86} +(-4.20907 - 1.74858i) 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} +(-6.50780 + 8.46291i) q^{93} +(-1.42344 - 2.46547i) q^{94} +(1.48896 + 2.57896i) q^{95} +(1.37303 + 1.05583i) q^{96} +(3.90221 - 3.90221i) q^{97} +(-4.10269 + 5.67168i) q^{98} +(-6.85323 - 11.9273i) 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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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
\(3\) 0.664489 1.59952i 0.383643 0.923482i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 2.30125 0.616617i 1.02915 0.275760i 0.295539 0.955331i \(-0.404501\pi\)
0.733610 + 0.679571i \(0.237834\pi\)
\(6\) −0.227862 + 1.71700i −0.0930241 + 0.700961i
\(7\) 2.49307 0.885767i 0.942293 0.334789i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −2.11691 2.12572i −0.705636 0.708574i
\(10\) −2.06324 + 1.19121i −0.652454 + 0.376695i
\(11\) 4.42909 + 1.18677i 1.33542 + 0.357825i 0.854733 0.519067i \(-0.173721\pi\)
0.480687 + 0.876892i \(0.340387\pi\)
\(12\) −0.224294 1.71747i −0.0647481 0.495790i
\(13\) −1.86076 3.08830i −0.516081 0.856540i
\(14\) −2.17887 + 1.50084i −0.582328 + 0.401116i
\(15\) 0.542863 4.09062i 0.140167 1.05619i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 2.95298 + 5.11472i 0.716204 + 1.24050i 0.962493 + 0.271305i \(0.0874553\pi\)
−0.246289 + 0.969196i \(0.579211\pi\)
\(18\) 2.59495 + 1.50539i 0.611637 + 0.354825i
\(19\) 0.323512 + 1.20736i 0.0742187 + 0.276988i 0.993055 0.117651i \(-0.0375364\pi\)
−0.918836 + 0.394639i \(0.870870\pi\)
\(20\) 1.68463 1.68463i 0.376695 0.376695i
\(21\) 0.239820 4.57630i 0.0523331 0.998630i
\(22\) −4.58533 −0.977596
\(23\) −3.26170 + 5.64943i −0.680111 + 1.17799i 0.294836 + 0.955548i \(0.404735\pi\)
−0.974947 + 0.222439i \(0.928598\pi\)
\(24\) 0.661165 + 1.60089i 0.134960 + 0.326781i
\(25\) 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 \(-0.0785664\pi\)
\(30\) 0.534364 + 4.09174i 0.0975611 + 0.747046i
\(31\) −5.95364 1.59527i −1.06931 0.286520i −0.319098 0.947722i \(-0.603380\pi\)
−0.750208 + 0.661202i \(0.770047\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) 4.84134 6.29581i 0.842769 1.09596i
\(34\) −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 −0.399806 0.916600i \(-0.630923\pi\)
0.112057 + 0.993702i \(0.464256\pi\)
\(38\) −0.624977 1.08249i −0.101385 0.175603i
\(39\) −6.17624 + 0.924172i −0.988989 + 0.147986i
\(40\) −1.19121 + 2.06324i −0.188347 + 0.326227i
\(41\) 1.95111 + 1.95111i 0.304712 + 0.304712i 0.842854 0.538142i \(-0.180874\pi\)
−0.538142 + 0.842854i \(0.680874\pi\)
\(42\) 0.952784 + 4.48243i 0.147018 + 0.691654i
\(43\) 9.07474i 1.38389i −0.721953 0.691943i \(-0.756755\pi\)
0.721953 0.691943i \(-0.243245\pi\)
\(44\) 4.42909 1.18677i 0.667710 0.178912i
\(45\) −6.18229 3.58649i −0.921601 0.534642i
\(46\) 1.68838 6.30112i 0.248938 0.929049i
\(47\) 0.736826 + 2.74987i 0.107477 + 0.401110i 0.998614 0.0526238i \(-0.0167584\pi\)
−0.891137 + 0.453734i \(0.850092\pi\)
\(48\) −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
\(51\) 10.1433 1.32467i 1.42035 0.185491i
\(52\) −3.15561 1.74417i −0.437605 0.241872i
\(53\) 3.46376 1.99980i 0.475784 0.274694i −0.242874 0.970058i \(-0.578090\pi\)
0.718658 + 0.695364i \(0.244757\pi\)
\(54\) 4.13222 3.15036i 0.562324 0.428709i
\(55\) 10.9242 1.47302
\(56\) −1.13654 + 2.38920i −0.151876 + 0.319270i
\(57\) 2.14617 + 0.284816i 0.284267 + 0.0377249i
\(58\) 0.681073 + 2.54180i 0.0894292 + 0.333754i
\(59\) −11.8887 3.18558i −1.54778 0.414727i −0.619010 0.785383i \(-0.712466\pi\)
−0.928770 + 0.370656i \(0.879133\pi\)
\(60\) −1.57518 3.81401i −0.203354 0.492387i
\(61\) −2.99008 + 5.17897i −0.382841 + 0.663099i −0.991467 0.130358i \(-0.958387\pi\)
0.608626 + 0.793457i \(0.291721\pi\)
\(62\) 6.16367 0.782786
\(63\) −7.16051 3.42450i −0.902139 0.431446i
\(64\) 1.00000i 0.125000i
\(65\) −6.18636 5.95956i −0.767323 0.739193i
\(66\) −3.04690 + 7.33431i −0.375048 + 0.902792i
\(67\) 9.93115 + 2.66104i 1.21328 + 0.325098i 0.808049 0.589115i \(-0.200524\pi\)
0.405234 + 0.914213i \(0.367190\pi\)
\(68\) 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 \(-0.499719\pi\)
−1.00000 0.000883786i \(0.999719\pi\)
\(72\) 2.99999 + 0.00623244i 0.353553 + 0.000734500i
\(73\) −2.85119 + 10.6408i −0.333706 + 1.24541i 0.571559 + 0.820561i \(0.306339\pi\)
−0.905265 + 0.424847i \(0.860328\pi\)
\(74\) 1.56928 0.906026i 0.182425 0.105323i
\(75\) −0.151612 1.16093i −0.0175067 0.134052i
\(76\) 0.883851 + 0.883851i 0.101385 + 0.101385i
\(77\) 12.0932 0.964434i 1.37815 0.109907i
\(78\) 5.72659 2.49121i 0.648409 0.282074i
\(79\) 3.81078 6.60047i 0.428747 0.742611i −0.568015 0.823018i \(-0.692289\pi\)
0.996762 + 0.0804068i \(0.0256219\pi\)
\(80\) 0.616617 2.30125i 0.0689399 0.257287i
\(81\) −0.0373946 + 8.99992i −0.00415495 + 0.999991i
\(82\) −2.38961 1.37964i −0.263888 0.152356i
\(83\) −9.74816 9.74816i −1.07000 1.07000i −0.997358 0.0726418i \(-0.976857\pi\)
−0.0726418 0.997358i \(-0.523143\pi\)
\(84\) −2.08046 4.08310i −0.226997 0.445503i
\(85\) 9.94937 + 9.94937i 1.07916 + 1.07916i
\(86\) 2.34872 + 8.76553i 0.253269 + 0.945211i
\(87\) −4.20907 1.74858i −0.451260 0.187467i
\(88\) −3.97101 + 2.29266i −0.423311 + 0.244399i
\(89\) 2.47718 + 9.24498i 0.262581 + 0.979966i 0.963714 + 0.266936i \(0.0860111\pi\)
−0.701133 + 0.713030i \(0.747322\pi\)
\(90\) 6.89988 + 1.86419i 0.727311 + 0.196503i
\(91\) −7.37452 6.05116i −0.773059 0.634334i
\(92\) 6.52340i 0.680111i
\(93\) −6.50780 + 8.46291i −0.674827 + 0.877563i
\(94\) −1.42344 2.46547i −0.146816 0.254294i
\(95\) 1.48896 + 2.57896i 0.152764 + 0.264595i
\(96\) 1.37303 + 1.05583i 0.140135 + 0.107760i
\(97\) 3.90221 3.90221i 0.396210 0.396210i −0.480684 0.876894i \(-0.659612\pi\)
0.876894 + 0.480684i \(0.159612\pi\)
\(98\) −4.10269 + 5.67168i −0.414434 + 0.572926i
\(99\) −6.85323 11.9273i −0.688776 1.19874i
\(100\) 0.337977 0.585393i 0.0337977 0.0585393i
\(101\) 1.78120 + 3.08513i 0.177236 + 0.306982i 0.940933 0.338593i \(-0.109951\pi\)
−0.763697 + 0.645575i \(0.776618\pi\)
\(102\) −9.45483 + 3.90482i −0.936168 + 0.386635i
\(103\) 6.40506 + 3.69796i 0.631109 + 0.364371i 0.781181 0.624304i \(-0.214617\pi\)
−0.150072 + 0.988675i \(0.547951\pi\)
\(104\) 3.49951 + 0.868003i 0.343155 + 0.0851147i
\(105\) −2.26994 10.6791i −0.221523 1.04217i
\(106\) −2.82815 + 2.82815i −0.274694 + 0.274694i
\(107\) 4.79107 + 2.76613i 0.463170 + 0.267411i 0.713376 0.700781i \(-0.247165\pi\)
−0.250206 + 0.968193i \(0.580498\pi\)
\(108\) −3.17605 + 4.11251i −0.305615 + 0.395726i
\(109\) −16.9228 4.53445i −1.62091 0.434321i −0.669641 0.742685i \(-0.733552\pi\)
−0.951269 + 0.308363i \(0.900219\pi\)
\(110\) −10.5520 + 2.82739i −1.00609 + 0.269581i
\(111\) −0.412897 + 3.11129i −0.0391904 + 0.295310i
\(112\) 0.479440 2.60195i 0.0453028 0.245861i
\(113\) 9.52648i 0.896176i 0.893989 + 0.448088i \(0.147895\pi\)
−0.893989 + 0.448088i \(0.852105\pi\)
\(114\) −2.14675 + 0.280357i −0.201062 + 0.0262579i
\(115\) −4.02244 + 15.0119i −0.375094 + 1.39987i
\(116\) −1.31573 2.27891i −0.122163 0.211592i
\(117\) −2.62581 + 10.4931i −0.242756 + 0.970087i
\(118\) 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
\(123\) 4.41732 1.82434i 0.398296 0.164495i
\(124\) −5.95364 + 1.59527i −0.534653 + 0.143260i
\(125\) −7.28442 + 7.28442i −0.651538 + 0.651538i
\(126\) 7.80284 + 1.45453i 0.695132 + 0.129580i
\(127\) 9.86636i 0.875497i 0.899097 + 0.437749i \(0.144224\pi\)
−0.899097 + 0.437749i \(0.855776\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −14.5152 6.03007i −1.27799 0.530918i
\(130\) 7.51801 + 4.15535i 0.659373 + 0.364448i
\(131\) −10.0357 5.79409i −0.876819 0.506232i −0.00721095 0.999974i \(-0.502295\pi\)
−0.869608 + 0.493742i \(0.835629\pi\)
\(132\) 1.04482 7.87300i 0.0909400 0.685257i
\(133\) 1.87598 + 2.72349i 0.162668 + 0.236156i
\(134\) −10.2815 −0.888185
\(135\) −9.84471 + 7.50549i −0.847298 + 0.645970i
\(136\) −5.70473 1.52858i −0.489176 0.131074i
\(137\) 10.5912 + 2.83789i 0.904864 + 0.242458i 0.681104 0.732187i \(-0.261500\pi\)
0.223760 + 0.974644i \(0.428167\pi\)
\(138\) −8.95683 6.88761i −0.762456 0.586313i
\(139\) −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
\(141\) 4.88808 + 0.648694i 0.411650 + 0.0546299i
\(142\) 10.3108 + 5.95292i 0.865260 + 0.499558i
\(143\) −4.57636 15.8866i −0.382694 1.32851i
\(144\) −2.89938 + 0.770435i −0.241615 + 0.0642029i
\(145\) −1.62261 6.05565i −0.134750 0.502894i
\(146\) 11.0161i 0.911702i
\(147\) −3.45564 11.6215i −0.285017 0.958523i
\(148\) −1.28131 + 1.28131i −0.105323 + 0.105323i
\(149\) 6.71519 1.79933i 0.550130 0.147407i 0.0269619 0.999636i \(-0.491417\pi\)
0.523168 + 0.852230i \(0.324750\pi\)
\(150\) 0.446916 + 1.08213i 0.0364906 + 0.0883555i
\(151\) 0.402539 1.50230i 0.0327582 0.122255i −0.947611 0.319428i \(-0.896509\pi\)
0.980369 + 0.197173i \(0.0631760\pi\)
\(152\) −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
\(156\) −4.88669 + 3.88848i −0.391249 + 0.311327i
\(157\) 4.37974 + 7.58593i 0.349541 + 0.605423i 0.986168 0.165749i \(-0.0530042\pi\)
−0.636627 + 0.771172i \(0.719671\pi\)
\(158\) −1.97261 + 7.36187i −0.156932 + 0.585679i
\(159\) −0.897089 6.86920i −0.0711438 0.544763i
\(160\) 2.38243i 0.188347i
\(161\) −3.12758 + 16.9735i −0.246488 + 1.33770i
\(162\) −2.29323 8.70294i −0.180173 0.683767i
\(163\) −4.97496 + 1.33304i −0.389669 + 0.104411i −0.448334 0.893866i \(-0.647982\pi\)
0.0586647 + 0.998278i \(0.481316\pi\)
\(164\) 2.66526 + 0.714154i 0.208122 + 0.0557661i
\(165\) 7.25902 17.4735i 0.565114 1.36031i
\(166\) 11.9390 + 6.89299i 0.926647 + 0.535000i
\(167\) −12.1133 + 12.1133i −0.937356 + 0.937356i −0.998150 0.0607939i \(-0.980637\pi\)
0.0607939 + 0.998150i \(0.480637\pi\)
\(168\) 3.06635 + 3.40551i 0.236574 + 0.262741i
\(169\) −6.07517 + 11.4931i −0.467321 + 0.884088i
\(170\) −12.1854 7.03527i −0.934581 0.539580i
\(171\) 1.88167 3.24357i 0.143895 0.248042i
\(172\) −4.53737 7.85896i −0.345971 0.599240i
\(173\) 2.78524 4.82417i 0.211758 0.366775i −0.740507 0.672049i \(-0.765415\pi\)
0.952265 + 0.305274i \(0.0987480\pi\)
\(174\) 4.51821 + 0.599609i 0.342525 + 0.0454563i
\(175\) 1.16006 1.36112i 0.0876922 0.102891i
\(176\) 3.24232 3.24232i 0.244399 0.244399i
\(177\) −12.9953 + 16.8994i −0.976787 + 1.27024i
\(178\) −4.78555 8.28882i −0.358692 0.621273i
\(179\) 9.81003 + 16.9915i 0.733236 + 1.27000i 0.955493 + 0.295014i \(0.0953242\pi\)
−0.222257 + 0.974988i \(0.571342\pi\)
\(180\) −7.14726 0.0148483i −0.532725 0.00110673i
\(181\) 17.7356i 1.31828i −0.752021 0.659139i \(-0.770921\pi\)
0.752021 0.659139i \(-0.229079\pi\)
\(182\) 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
\(186\) 4.09569 9.85889i 0.300310 0.722889i
\(187\) 7.00903 + 26.1581i 0.512551 + 1.91287i
\(188\) 2.01305 + 2.01305i 0.146816 + 0.146816i
\(189\) −10.2356 + 9.17781i −0.744531 + 0.667587i
\(190\) −2.10571 2.10571i −0.152764 0.152764i
\(191\) 10.2093 + 5.89437i 0.738722 + 0.426501i 0.821604 0.570058i \(-0.193079\pi\)
−0.0828824 + 0.996559i \(0.526413\pi\)
\(192\) −1.59952 0.664489i −0.115435 0.0479554i
\(193\) −3.71322 + 13.8579i −0.267284 + 0.997517i 0.693554 + 0.720405i \(0.256044\pi\)
−0.960838 + 0.277112i \(0.910623\pi\)
\(194\) −2.75928 + 4.77922i −0.198105 + 0.343128i
\(195\) −13.6432 + 5.93512i −0.977009 + 0.425023i
\(196\) 2.49496 6.54027i 0.178211 0.467162i
\(197\) 7.28557 + 7.28557i 0.519075 + 0.519075i 0.917292 0.398216i \(-0.130371\pi\)
−0.398216 + 0.917292i \(0.630371\pi\)
\(198\) 9.70673 + 9.74714i 0.689827 + 0.692699i
\(199\) −4.21320 + 2.43249i −0.298666 + 0.172435i −0.641843 0.766836i \(-0.721830\pi\)
0.343178 + 0.939271i \(0.388497\pi\)
\(200\) −0.174950 + 0.652921i −0.0123708 + 0.0461685i
\(201\) 10.8555 14.1168i 0.765689 0.995723i
\(202\) −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
\(207\) 18.9138 5.02585i 1.31460 0.349321i
\(208\) −3.60492 + 0.0673138i −0.249956 + 0.00466737i
\(209\) 5.73145i 0.396453i
\(210\) 4.95654 + 9.72768i 0.342033 + 0.671274i
\(211\) 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
\(213\) −19.0600 + 7.87172i −1.30597 + 0.539361i
\(214\) −5.34374 1.43185i −0.365291 0.0978794i
\(215\) −5.59564 20.8832i −0.381620 1.42422i
\(216\) 2.00343 4.79440i 0.136316 0.326218i
\(217\) −16.2559 + 1.29641i −1.10352 + 0.0880058i
\(218\) 17.5198 1.18659
\(219\) 15.1255 + 11.6312i 1.02209 + 0.785964i
\(220\) 9.46064 5.46210i 0.637836 0.368255i
\(221\) 10.3010 18.6369i 0.692920 1.25366i
\(222\) −0.406432 3.11214i −0.0272780 0.208873i
\(223\) 17.5457 17.5457i 1.17495 1.17495i 0.193930 0.981015i \(-0.437876\pi\)
0.981015 0.193930i \(-0.0621235\pi\)
\(224\) 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 \(-0.888618\pi\)
0.984955 + 0.172810i \(0.0552847\pi\)
\(228\) 2.00104 0.826425i 0.132522 0.0547313i
\(229\) 28.1786 7.55043i 1.86209 0.498946i 0.862123 0.506699i \(-0.169134\pi\)
0.999970 + 0.00775282i \(0.00246782\pi\)
\(230\) 15.5415i 1.02478i
\(231\) 6.49320 19.9842i 0.427221 1.31486i
\(232\) 1.86073 + 1.86073i 0.122163 + 0.122163i
\(233\) 1.67441 2.90016i 0.109694 0.189996i −0.805952 0.591981i \(-0.798346\pi\)
0.915646 + 0.401985i \(0.131680\pi\)
\(234\) −0.179473 10.8152i −0.0117325 0.707009i
\(235\) 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 \(-0.424652\pi\)
−0.972114 + 0.234509i \(0.924652\pi\)
\(240\) −3.27115 2.51544i −0.211152 0.162371i
\(241\) 0.0441972 0.164946i 0.00284699 0.0106251i −0.964488 0.264128i \(-0.914916\pi\)
0.967335 + 0.253503i \(0.0815826\pi\)
\(242\) −9.68365 2.59473i −0.622489 0.166795i
\(243\) 14.3707 + 6.04016i 0.921880 + 0.387477i
\(244\) 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
\(249\) −22.0699 + 9.11480i −1.39862 + 0.577627i
\(250\) 5.15086 8.92155i 0.325769 0.564249i
\(251\) 1.99521 0.125937 0.0629683 0.998016i \(-0.479943\pi\)
0.0629683 + 0.998016i \(0.479943\pi\)
\(252\) −7.91343 + 0.614553i −0.498499 + 0.0387132i
\(253\) −21.1509 + 21.1509i −1.32975 + 1.32975i
\(254\) −2.55360 9.53017i −0.160227 0.597976i
\(255\) 22.5254 9.30294i 1.41060 0.582573i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −2.34151 + 4.05562i −0.146060 + 0.252983i −0.929768 0.368147i \(-0.879992\pi\)
0.783708 + 0.621129i \(0.213326\pi\)
\(258\) 15.5813 + 2.06779i 0.970050 + 0.128735i
\(259\) −3.94823 + 2.71960i −0.245331 + 0.168988i
\(260\) −8.33732 2.06795i −0.517059 0.128249i
\(261\) −5.59376 + 5.57057i −0.346245 + 0.344809i
\(262\) 11.1933 + 2.99924i 0.691526 + 0.185294i
\(263\) −7.97634 + 4.60514i −0.491842 + 0.283965i −0.725338 0.688392i \(-0.758317\pi\)
0.233496 + 0.972358i \(0.424983\pi\)
\(264\) 1.02846 + 7.87515i 0.0632975 + 0.484682i
\(265\) 6.73786 6.73786i 0.413903 0.413903i
\(266\) −2.51695 2.14515i −0.154324 0.131527i
\(267\) 16.4336 + 2.18089i 1.00572 + 0.133468i
\(268\) 9.93115 2.66104i 0.606641 0.162549i
\(269\) 11.1019 6.40967i 0.676893 0.390805i −0.121790 0.992556i \(-0.538864\pi\)
0.798683 + 0.601751i \(0.205530\pi\)
\(270\) 7.56670 9.79774i 0.460495 0.596272i
\(271\) −7.42167 + 1.98863i −0.450835 + 0.120801i −0.477090 0.878855i \(-0.658308\pi\)
0.0262553 + 0.999655i \(0.491642\pi\)
\(272\) 5.90597 0.358102
\(273\) −14.5792 + 7.77474i −0.882374 + 0.470549i
\(274\) −10.9648 −0.662406
\(275\) 2.99386 0.802201i 0.180536 0.0483746i
\(276\) 10.4343 + 4.33472i 0.628070 + 0.260920i
\(277\) 25.0130 14.4413i 1.50288 0.867691i 0.502890 0.864350i \(-0.332270\pi\)
0.999994 0.00334019i \(-0.00106322\pi\)
\(278\) 13.2025 3.53759i 0.791832 0.212171i
\(279\) 9.21221 + 16.0328i 0.551521 + 0.959861i
\(280\) −1.14223 + 6.19895i −0.0682613 + 0.370458i
\(281\) 13.3466 13.3466i 0.796190 0.796190i −0.186303 0.982492i \(-0.559651\pi\)
0.982492 + 0.186303i \(0.0596506\pi\)
\(282\) −4.88942 + 0.638538i −0.291160 + 0.0380244i
\(283\) 21.4097 12.3609i 1.27268 0.734780i 0.297185 0.954820i \(-0.403952\pi\)
0.975491 + 0.220040i \(0.0706187\pi\)
\(284\) −11.5002 3.08146i −0.682409 0.182851i
\(285\) 5.11448 0.667930i 0.302956 0.0395648i
\(286\) 8.53218 + 14.1609i 0.504519 + 0.837349i
\(287\) 6.59248 + 3.13603i 0.389142 + 0.185114i
\(288\) 2.60119 1.49460i 0.153276 0.0880701i
\(289\) −8.94023 + 15.4849i −0.525896 + 0.910879i
\(290\) 3.13463 + 5.42934i 0.184072 + 0.318822i
\(291\) −3.64868 8.83464i −0.213889 0.517895i
\(292\) 2.85119 + 10.6408i 0.166853 + 0.622704i
\(293\) −11.8909 + 11.8909i −0.694677 + 0.694677i −0.963257 0.268581i \(-0.913445\pi\)
0.268581 + 0.963257i \(0.413445\pi\)
\(294\) 6.34575 + 10.3311i 0.370092 + 0.602521i
\(295\) −29.3232 −1.70726
\(296\) 0.906026 1.56928i 0.0526617 0.0912127i
\(297\) −23.6318 + 3.03630i −1.37126 + 0.176184i
\(298\) −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
\(303\) 6.11831 0.799026i 0.351488 0.0459029i
\(304\) 1.20736 + 0.323512i 0.0692470 + 0.0185547i
\(305\) −3.68747 + 13.7618i −0.211144 + 0.788000i
\(306\) −0.0368086 + 17.7179i −0.00210421 + 1.01286i
\(307\) −19.6594 19.6594i −1.12202 1.12202i −0.991437 0.130583i \(-0.958315\pi\)
−0.130583 0.991437i \(-0.541685\pi\)
\(308\) 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 \(-0.250706\pi\)
−0.966497 + 0.256677i \(0.917372\pi\)
\(312\) 3.71377 5.02075i 0.210251 0.284244i
\(313\) −0.335748 + 0.581532i −0.0189776 + 0.0328701i −0.875358 0.483475i \(-0.839374\pi\)
0.856381 + 0.516345i \(0.172708\pi\)
\(314\) −6.19388 6.19388i −0.349541 0.349541i
\(315\) −18.5897 3.46532i −1.04741 0.195249i
\(316\) 7.62157i 0.428747i
\(317\) −15.8697 + 4.25228i −0.891332 + 0.238832i −0.675290 0.737552i \(-0.735982\pi\)
−0.216042 + 0.976384i \(0.569315\pi\)
\(318\) 2.64440 + 6.40295i 0.148291 + 0.359060i
\(319\) 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
\(324\) 4.46758 + 7.81286i 0.248199 + 0.434048i
\(325\) −2.13305 1.17897i −0.118320 0.0653977i
\(326\) 4.46043 2.57523i 0.247040 0.142629i
\(327\) −18.4979 + 24.0552i −1.02294 + 1.33026i
\(328\) −2.75928 −0.152356
\(329\) 4.27271 + 6.20298i 0.235562 + 0.341981i
\(330\) −2.48921 + 18.7568i −0.137026 + 1.03253i
\(331\) −5.45650 20.3640i −0.299917 1.11930i −0.937234 0.348702i \(-0.886622\pi\)
0.637317 0.770602i \(-0.280044\pi\)
\(332\) −13.3162 3.56808i −0.730824 0.195824i
\(333\) 4.70219 + 2.72785i 0.257678 + 0.149485i
\(334\) 8.56541 14.8357i 0.468678 0.811774i
\(335\) 24.4949 1.33830
\(336\) −3.84328 2.49584i −0.209668 0.136159i
\(337\) 14.5606i 0.793168i 0.917998 + 0.396584i \(0.129804\pi\)
−0.917998 + 0.396584i \(0.870196\pi\)
\(338\) 2.89352 12.6739i 0.157387 0.689369i
\(339\) 15.2378 + 6.33024i 0.827602 + 0.343812i
\(340\) 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
\(345\) 21.3390 + 16.4092i 1.14885 + 0.883443i
\(346\) −1.44174 + 5.38066i −0.0775086 + 0.289266i
\(347\) −16.7977 + 9.69816i −0.901748 + 0.520624i −0.877767 0.479088i \(-0.840967\pi\)
−0.0239811 + 0.999712i \(0.507634\pi\)
\(348\) −4.51945 + 0.590222i −0.242268 + 0.0316392i
\(349\) 10.6752 + 10.6752i 0.571429 + 0.571429i 0.932528 0.361099i \(-0.117598\pi\)
−0.361099 + 0.932528i \(0.617598\pi\)
\(350\) −0.768246 + 1.61499i −0.0410645 + 0.0863247i
\(351\) 15.0391 + 11.1726i 0.802726 + 0.596348i
\(352\) −2.29266 + 3.97101i −0.122199 + 0.211656i
\(353\) 4.17743 15.5904i 0.222342 0.829793i −0.761109 0.648623i \(-0.775345\pi\)
0.983452 0.181170i \(-0.0579883\pi\)
\(354\) 8.17861 19.6870i 0.434688 1.04635i
\(355\) −24.5646 14.1824i −1.30375 0.752723i
\(356\) 6.76779 + 6.76779i 0.358692 + 0.358692i
\(357\) 24.1147 12.2871i 1.27628 0.650303i
\(358\) −13.8735 13.8735i −0.733236 0.733236i
\(359\) −7.58226 28.2974i −0.400176 1.49348i −0.812782 0.582568i \(-0.802048\pi\)
0.412606 0.910910i \(-0.364619\pi\)
\(360\) 6.90757 1.83551i 0.364061 0.0967396i
\(361\) 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
\(366\) −8.21095 6.31405i −0.429193 0.330041i
\(367\) −5.01646 8.68876i −0.261857 0.453550i 0.704878 0.709328i \(-0.251002\pi\)
−0.966735 + 0.255778i \(0.917668\pi\)
\(368\) 3.26170 + 5.64943i 0.170028 + 0.294497i
\(369\) 0.0171971 8.27782i 0.000895243 0.430926i
\(370\) 3.05264 3.05264i 0.158699 0.158699i
\(371\) 6.86406 8.05375i 0.356364 0.418130i
\(372\) −1.40446 + 10.5830i −0.0728180 + 0.548703i
\(373\) −2.91895 + 5.05577i −0.151137 + 0.261778i −0.931646 0.363368i \(-0.881627\pi\)
0.780508 + 0.625145i \(0.214960\pi\)
\(374\) −13.5404 23.4527i −0.700158 1.21271i
\(375\) 6.81113 + 16.4920i 0.351725 + 0.851641i
\(376\) −2.46547 1.42344i −0.127147 0.0734082i
\(377\) −8.12674 + 4.89651i −0.418548 + 0.252183i
\(378\) 7.51145 11.5143i 0.386347 0.592229i
\(379\) −3.71989 + 3.71989i −0.191078 + 0.191078i −0.796162 0.605084i \(-0.793140\pi\)
0.605084 + 0.796162i \(0.293140\pi\)
\(380\) 2.57896 + 1.48896i 0.132298 + 0.0763821i
\(381\) 15.7814 + 6.55608i 0.808506 + 0.335878i
\(382\) −11.3870 3.05115i −0.582612 0.156110i
\(383\) −19.5605 + 5.24121i −0.999493 + 0.267813i −0.721233 0.692693i \(-0.756424\pi\)
−0.278260 + 0.960506i \(0.589758\pi\)
\(384\) 1.71700 + 0.227862i 0.0876201 + 0.0116280i
\(385\) 27.2349 9.67631i 1.38802 0.493150i
\(386\) 14.3468i 0.730233i
\(387\) −19.2904 + 19.2104i −0.980585 + 0.976520i
\(388\) 1.42831 5.33052i 0.0725114 0.270616i
\(389\) 16.8379 + 29.1641i 0.853716 + 1.47868i 0.877831 + 0.478970i \(0.158990\pi\)
−0.0241159 + 0.999709i \(0.507677\pi\)
\(390\) 11.6422 9.26400i 0.589525 0.469101i
\(391\) −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
\(396\) −11.8987 6.90273i −0.597933 0.346875i
\(397\) −18.2600 + 4.89277i −0.916446 + 0.245561i −0.686065 0.727540i \(-0.740664\pi\)
−0.230380 + 0.973101i \(0.573997\pi\)
\(398\) 3.44006 3.44006i 0.172435 0.172435i
\(399\) 5.60283 1.19094i 0.280492 0.0596213i
\(400\) 0.675953i 0.0337977i
\(401\) −1.00798 3.76183i −0.0503361 0.187857i 0.936180 0.351521i \(-0.114335\pi\)
−0.986516 + 0.163664i \(0.947669\pi\)
\(402\) −6.83193 + 16.4454i −0.340746 + 0.820222i
\(403\) 6.15160 + 21.3550i 0.306433 + 1.06377i
\(404\) 3.08513 + 1.78120i 0.153491 + 0.0886181i
\(405\) 5.46345 + 20.7341i 0.271481 + 1.03029i
\(406\) 3.94941 + 5.73362i 0.196006 + 0.284555i
\(407\) −8.30885 −0.411855
\(408\) −6.23571 + 8.10909i −0.308714 + 0.401460i
\(409\) −24.6669 6.60947i −1.21970 0.326817i −0.409139 0.912472i \(-0.634171\pi\)
−0.810561 + 0.585655i \(0.800837\pi\)
\(410\) −6.34979 1.70142i −0.313594 0.0840271i
\(411\) 11.5770 15.0550i 0.571050 0.742608i
\(412\) 7.39592 0.364371
\(413\) −32.4612 + 2.58877i −1.59731 + 0.127385i
\(414\) −16.9686 + 9.74986i −0.833960 + 0.479180i
\(415\) −28.4438 16.4220i −1.39625 0.806126i
\(416\) 3.46467 0.998043i 0.169869 0.0489331i
\(417\) −9.08237 + 21.8625i −0.444766 + 1.07061i
\(418\) −1.48341 5.53616i −0.0725559 0.270782i
\(419\) 7.12445i 0.348052i 0.984741 + 0.174026i \(0.0556777\pi\)
−0.984741 + 0.174026i \(0.944322\pi\)
\(420\) −7.30535 8.11337i −0.356465 0.395892i
\(421\) 22.3930 22.3930i 1.09137 1.09137i 0.0959846 0.995383i \(-0.469400\pi\)
0.995383 0.0959846i \(-0.0306000\pi\)
\(422\) −12.2111 + 3.27196i −0.594428 + 0.159276i
\(423\) 4.28567 7.38751i 0.208376 0.359193i
\(424\) −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
\(429\) −28.4519 3.23654i −1.37367 0.156261i
\(430\) 10.8099 + 18.7234i 0.521302 + 0.902922i
\(431\) −3.64052 + 13.5866i −0.175358 + 0.654444i 0.821133 + 0.570737i \(0.193343\pi\)
−0.996490 + 0.0837069i \(0.973324\pi\)
\(432\) −0.694285 + 5.14956i −0.0334038 + 0.247758i
\(433\) 16.2153i 0.779258i 0.920972 + 0.389629i \(0.127397\pi\)
−0.920972 + 0.389629i \(0.872603\pi\)
\(434\) 15.3665 5.45957i 0.737614 0.262068i
\(435\) −10.7643 1.42853i −0.516109 0.0684925i
\(436\) −16.9228 + 4.53445i −0.810455 + 0.217161i
\(437\) −7.87610 2.11040i −0.376765 0.100954i
\(438\) −17.6205 7.32010i −0.841940 0.349768i
\(439\) −26.9408 15.5543i −1.28581 0.742364i −0.307908 0.951416i \(-0.599629\pi\)
−0.977904 + 0.209052i \(0.932962\pi\)
\(440\) −7.72458 + 7.72458i −0.368255 + 0.368255i
\(441\) −20.8850 2.19498i −0.994522 0.104523i
\(442\) −5.12640 + 20.6680i −0.243838 + 0.983076i
\(443\) 32.7373 + 18.9009i 1.55540 + 0.898009i 0.997687 + 0.0679735i \(0.0216533\pi\)
0.557710 + 0.830036i \(0.311680\pi\)
\(444\) 1.19806 + 2.90090i 0.0568576 + 0.137671i
\(445\) 11.4012 + 19.7475i 0.540470 + 0.936121i
\(446\) −12.4067 + 21.4890i −0.587473 + 1.01753i
\(447\) 1.58411 11.9367i 0.0749259 0.564586i
\(448\) −0.885767 2.49307i −0.0418486 0.117787i
\(449\) 13.4565 13.4565i 0.635052 0.635052i −0.314279 0.949331i \(-0.601763\pi\)
0.949331 + 0.314279i \(0.101763\pi\)
\(450\) 2.02785 + 0.00421284i 0.0955940 + 0.000198595i
\(451\) 6.32611 + 10.9571i 0.297885 + 0.515951i
\(452\) 4.76324 + 8.25018i 0.224044 + 0.388056i
\(453\) −2.13547 1.64213i −0.100333 0.0771539i
\(454\) 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 0.620630 + 0.784104i \(0.286877\pi\)
−0.145429 + 0.989369i \(0.546456\pi\)
\(458\) −25.2642 + 14.5863i −1.18052 + 0.681573i
\(459\) −24.2883 18.7576i −1.13368 0.875532i
\(460\) 4.02244 + 15.0119i 0.187547 + 0.699935i
\(461\) −16.6508 16.6508i −0.775507 0.775507i 0.203556 0.979063i \(-0.434750\pi\)
−0.979063 + 0.203556i \(0.934750\pi\)
\(462\) −1.09966 + 20.9838i −0.0511606 + 0.976256i
\(463\) 25.1246 + 25.1246i 1.16764 + 1.16764i 0.982762 + 0.184875i \(0.0591880\pi\)
0.184875 + 0.982762i \(0.440812\pi\)
\(464\) −2.27891 1.31573i −0.105796 0.0610813i
\(465\) −9.75767 + 23.4881i −0.452501 + 1.08923i
\(466\) −0.866737 + 3.23471i −0.0401508 + 0.149845i
\(467\) −3.52969 + 6.11361i −0.163335 + 0.282904i −0.936063 0.351833i \(-0.885558\pi\)
0.772728 + 0.634737i \(0.218892\pi\)
\(468\) 2.97253 + 10.4002i 0.137405 + 0.480749i
\(469\) 27.1161 2.16251i 1.25211 0.0998553i
\(470\) −4.79593 4.79593i −0.221220 0.221220i
\(471\) 15.0441 1.96470i 0.693196 0.0905285i
\(472\) 10.6591 6.15406i 0.490627 0.283264i
\(473\) 10.7696 40.1928i 0.495188 1.84807i
\(474\) 10.4647 + 8.04710i 0.480658 + 0.369616i
\(475\) 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 \(-0.600587\pi\)
−0.744377 + 0.667760i \(0.767253\pi\)
\(480\) 3.81073 + 1.58310i 0.173935 + 0.0722581i
\(481\) 4.70529 + 4.53279i 0.214543 + 0.206677i
\(482\) 0.170765i 0.00777813i
\(483\) 25.0712 + 16.2813i 1.14078 + 0.740827i
\(484\) 10.0253 0.455693
\(485\) 6.57378 11.3861i 0.298500 0.517017i
\(486\) −15.4443 2.11494i −0.700569 0.0959358i
\(487\) −21.2854 5.70340i −0.964532 0.258446i −0.258014 0.966141i \(-0.583068\pi\)
−0.706518 + 0.707696i \(0.749735\pi\)
\(488\) −1.54778 5.77639i −0.0700647 0.261485i
\(489\) −1.17359 + 8.84332i −0.0530717 + 0.399909i
\(490\) −5.94405 + 15.5817i −0.268525 + 0.703910i
\(491\) 14.7153 0.664093 0.332047 0.943263i \(-0.392261\pi\)
0.332047 + 0.943263i \(0.392261\pi\)
\(492\) 2.91334 3.78858i 0.131343 0.170802i
\(493\) 13.4592 7.77067i 0.606172 0.349973i
\(494\) −2.18013 + 3.94437i −0.0980885 + 0.177466i
\(495\) −23.1256 23.2218i −1.03942 1.04374i
\(496\) −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 −0.897955 0.440088i \(-0.854947\pi\)
0.557607 0.830105i \(-0.311719\pi\)
\(500\) −2.66628 + 9.95070i −0.119240 + 0.445009i
\(501\) 11.3263 + 27.4246i 0.506021 + 1.22524i
\(502\) −1.92723 + 0.516399i −0.0860164 + 0.0230480i
\(503\) 14.9068i 0.664661i −0.943163 0.332330i \(-0.892165\pi\)
0.943163 0.332330i \(-0.107835\pi\)
\(504\) 7.48473 2.64176i 0.333396 0.117673i
\(505\) 6.00133 + 6.00133i 0.267056 + 0.267056i
\(506\) 14.9560 25.9045i 0.664874 1.15159i
\(507\) 14.3466 + 17.3544i 0.637155 + 0.770736i
\(508\) 4.93318 + 8.54451i 0.218874 + 0.379102i
\(509\) 11.7733 3.15465i 0.521842 0.139827i 0.0117237 0.999931i \(-0.496268\pi\)
0.510119 + 0.860104i \(0.329601\pi\)
\(510\) −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
\(513\) −3.93780 5.16509i −0.173858 0.228044i
\(514\) 1.21206 4.52345i 0.0534615 0.199521i
\(515\) 17.0198 + 4.56045i 0.749984 + 0.200958i
\(516\) −15.5856 + 2.03541i −0.686116 + 0.0896040i
\(517\) 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 \(-0.796236\pi\)
0.116280 + 0.993216i \(0.462903\pi\)
\(522\) 3.96139 6.82853i 0.173385 0.298876i
\(523\) 20.6715 35.8040i 0.903900 1.56560i 0.0815139 0.996672i \(-0.474025\pi\)
0.822387 0.568929i \(-0.192642\pi\)
\(524\) −11.5882 −0.506232
\(525\) −1.40629 2.75998i −0.0613756 0.120456i
\(526\) 6.51266 6.51266i 0.283965 0.283965i
\(527\) −9.42164 35.1620i −0.410413 1.53168i
\(528\) −3.03166 7.34063i −0.131936 0.319460i
\(529\) −9.77735 16.9349i −0.425102 0.736298i
\(530\) −4.76439 + 8.25216i −0.206952 + 0.358451i
\(531\) 18.3957 + 32.0157i 0.798306 + 1.38936i
\(532\) 2.98639 + 1.42062i 0.129476 + 0.0615916i
\(533\) 2.39506 9.65613i 0.103742 0.418253i
\(534\) −16.4381 + 2.14674i −0.711344 + 0.0928986i
\(535\) 12.7311 + 3.41128i 0.550412 + 0.147483i
\(536\) −8.90402 + 5.14074i −0.384595 + 0.222046i
\(537\) 33.6968 4.40066i 1.45412 0.189903i
\(538\) −9.06464 + 9.06464i −0.390805 + 0.390805i
\(539\) 29.2951 13.1162i 1.26183 0.564955i
\(540\) −4.77303 + 11.4223i −0.205398 + 0.491538i
\(541\) 5.39985 1.44688i 0.232158 0.0622064i −0.140865 0.990029i \(-0.544988\pi\)
0.373022 + 0.927822i \(0.378322\pi\)
\(542\) 6.65409 3.84174i 0.285818 0.165017i
\(543\) −28.3684 11.7851i −1.21741 0.505748i
\(544\) −5.70473 + 1.52858i −0.244588 + 0.0655372i
\(545\) −41.7395 −1.78793
\(546\) 12.0702 11.2832i 0.516556 0.482876i
\(547\) 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
\(549\) 17.3388 4.60733i 0.740001 0.196636i
\(550\) −2.68422 + 1.54973i −0.114455 + 0.0660809i
\(551\) 3.17713 0.851309i 0.135350 0.0362670i
\(552\) −11.2007 1.48643i −0.476731 0.0632667i
\(553\) 3.65409 19.8309i 0.155388 0.843297i
\(554\) −20.4230 + 20.4230i −0.867691 + 0.867691i
\(555\) 0.968295 + 7.41444i 0.0411018 + 0.314725i
\(556\) −11.8370 + 6.83410i −0.502001 + 0.289831i
\(557\) −26.3606 7.06329i −1.11693 0.299281i −0.347291 0.937757i \(-0.612899\pi\)
−0.769642 + 0.638476i \(0.779565\pi\)
\(558\) −13.0479 13.1022i −0.552362 0.554662i
\(559\) −28.0255 + 16.8859i −1.18535 + 0.714197i
\(560\) −0.501097 6.28336i −0.0211752 0.265520i
\(561\) 46.4977 + 6.17068i 1.96313 + 0.260526i
\(562\) −9.43745 + 16.3461i −0.398095 + 0.689520i
\(563\) 19.9093 + 34.4839i 0.839077 + 1.45332i 0.890667 + 0.454656i \(0.150238\pi\)
−0.0515896 + 0.998668i \(0.516429\pi\)
\(564\) 4.55755 1.88225i 0.191907 0.0792572i
\(565\) 5.87419 + 21.9228i 0.247129 + 0.922299i
\(566\) −17.4810 + 17.4810i −0.734780 + 0.734780i
\(567\) 7.87861 + 22.4706i 0.330870 + 0.943676i
\(568\) 11.9058 0.499558
\(569\) 4.97543 8.61769i 0.208581 0.361273i −0.742687 0.669639i \(-0.766449\pi\)
0.951268 + 0.308366i \(0.0997822\pi\)
\(570\) −4.76734 + 1.96890i −0.199682 + 0.0824680i
\(571\) 7.41972 4.28378i 0.310506 0.179271i −0.336647 0.941631i \(-0.609293\pi\)
0.647153 + 0.762360i \(0.275960\pi\)
\(572\) −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
\(576\) −2.12572 + 2.11691i −0.0885718 + 0.0882045i
\(577\) 15.8921 + 4.25827i 0.661595 + 0.177274i 0.573966 0.818879i \(-0.305404\pi\)
0.0876294 + 0.996153i \(0.472071\pi\)
\(578\) 4.62781 17.2712i 0.192491 0.718388i
\(579\) 19.6986 + 15.1478i 0.818647 + 0.629522i
\(580\) −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
\(585\) 0.427582 + 25.7663i 0.0176783 + 1.06531i
\(586\) 8.40817 14.5634i 0.347338 0.601608i
\(587\) −4.66629 4.66629i −0.192598 0.192598i 0.604220 0.796818i \(-0.293485\pi\)
−0.796818 + 0.604220i \(0.793485\pi\)
\(588\) −8.80341 8.33667i −0.363046 0.343798i
\(589\) 7.70430i 0.317450i
\(590\) 28.3240 7.58940i 1.16608 0.312451i
\(591\) 16.4946 6.81221i 0.678496 0.280217i
\(592\) −0.468993 + 1.75031i −0.0192755 + 0.0719372i
\(593\) −1.42643 5.32351i −0.0585764 0.218610i 0.930433 0.366462i \(-0.119431\pi\)
−0.989010 + 0.147851i \(0.952764\pi\)
\(594\) 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
\(597\) 1.09119 + 8.35544i 0.0446593 + 0.341966i
\(598\) −22.6014 + 6.51063i −0.924239 + 0.266239i
\(599\) 9.40210 5.42830i 0.384159 0.221794i −0.295467 0.955353i \(-0.595475\pi\)
0.679626 + 0.733558i \(0.262142\pi\)
\(600\) 0.928105 + 0.713693i 0.0378897 + 0.0291364i
\(601\) −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
\(603\) −15.3667 26.7441i −0.625780 1.08910i
\(604\) −0.402539 1.50230i −0.0163791 0.0611276i
\(605\) 23.0706 + 6.18174i 0.937952 + 0.251324i
\(606\) −5.70303 + 2.35534i −0.231670 + 0.0956790i
\(607\) 12.6413 21.8954i 0.513096 0.888709i −0.486788 0.873520i \(-0.661832\pi\)
0.999885 0.0151889i \(-0.00483495\pi\)
\(608\) −1.24995 −0.0506923
\(609\) −12.0424 0.631079i −0.487981 0.0255726i
\(610\) 14.2473i 0.576856i
\(611\) 7.12137 7.39238i 0.288100 0.299064i
\(612\) −4.55017 17.1237i −0.183930 0.692183i
\(613\) −3.73761 1.00149i −0.150961 0.0404498i 0.182547 0.983197i \(-0.441566\pi\)
−0.333508 + 0.942747i \(0.608232\pi\)
\(614\) 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 0.998866 + 0.0476003i \(0.0151574\pi\)
0.0476003 + 0.998866i \(0.484843\pi\)
\(618\) −7.80885 + 10.1548i −0.314118 + 0.408488i
\(619\) −10.3156 + 38.4985i −0.414620 + 1.54738i 0.370974 + 0.928643i \(0.379024\pi\)
−0.785595 + 0.618741i \(0.787643\pi\)
\(620\) −12.7171 + 7.34224i −0.510732 + 0.294871i
\(621\) 4.52909 33.5926i 0.181746 1.34803i
\(622\) 6.50832 + 6.50832i 0.260960 + 0.260960i
\(623\) 14.3647 + 20.8542i 0.575510 + 0.835506i
\(624\) −2.28776 + 5.81086i −0.0915838 + 0.232621i
\(625\) −13.9614 + 24.1819i −0.558457 + 0.967276i
\(626\) 0.173796 0.648615i 0.00694628 0.0259239i
\(627\) 9.16755 + 3.80849i 0.366117 + 0.152096i
\(628\) 7.58593 + 4.37974i 0.302711 + 0.174771i
\(629\) −7.56740 7.56740i −0.301732 0.301732i
\(630\) 18.8532 1.46413i 0.751128 0.0583322i
\(631\) −10.6209 10.6209i −0.422810 0.422810i 0.463360 0.886170i \(-0.346644\pi\)
−0.886170 + 0.463360i \(0.846644\pi\)
\(632\) 1.97261 + 7.36187i 0.0784661 + 0.292839i
\(633\) 8.40039 20.2209i 0.333885 0.803708i
\(634\) 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
\(639\) −0.0742024 + 35.7174i −0.00293540 + 1.41296i
\(640\) 1.19121 + 2.06324i 0.0470868 + 0.0815568i
\(641\) 9.26467 + 16.0469i 0.365932 + 0.633813i 0.988925 0.148414i \(-0.0474168\pi\)
−0.622993 + 0.782227i \(0.714083\pi\)
\(642\) −5.84113 + 7.59596i −0.230531 + 0.299789i
\(643\) 3.00300 3.00300i 0.118427 0.118427i −0.645410 0.763837i \(-0.723313\pi\)
0.763837 + 0.645410i \(0.223313\pi\)
\(644\) 5.77821 + 16.2633i 0.227693 + 0.640864i
\(645\) −37.1213 4.92635i −1.46165 0.193975i
\(646\) 3.69109 6.39316i 0.145224 0.251536i
\(647\) 12.8937 + 22.3326i 0.506905 + 0.877984i 0.999968 + 0.00799108i \(0.00254367\pi\)
−0.493064 + 0.869993i \(0.664123\pi\)
\(648\) −6.33746 6.39035i −0.248959 0.251037i
\(649\) −48.8757 28.2184i −1.91854 1.10767i
\(650\) 2.36550 + 0.586729i 0.0927827 + 0.0230134i
\(651\) −8.72825 + 26.8631i −0.342087 + 1.05285i
\(652\) −3.64192 + 3.64192i −0.142629 + 0.142629i
\(653\) 9.02412 + 5.21008i 0.353141 + 0.203886i 0.666068 0.745891i \(-0.267976\pi\)
−0.312927 + 0.949777i \(0.601309\pi\)
\(654\) 11.6417 28.0232i 0.455226 1.09579i
\(655\) −26.6673 7.14547i −1.04198 0.279197i
\(656\) 2.66526 0.714154i 0.104061 0.0278830i
\(657\) 28.6550 16.4647i 1.11794 0.642350i
\(658\) −5.73257 4.88576i −0.223479 0.190467i
\(659\) 4.15768i 0.161960i −0.996716 0.0809801i \(-0.974195\pi\)
0.996716 0.0809801i \(-0.0258050\pi\)
\(660\) −2.45024 18.7620i −0.0953753 0.730309i
\(661\) 4.26508 15.9175i 0.165892 0.619119i −0.832032 0.554727i \(-0.812823\pi\)
0.997925 0.0643916i \(-0.0205107\pi\)
\(662\) 10.5412 + 18.2578i 0.409694 + 0.709610i
\(663\) −22.9652 28.8607i −0.891895 1.12085i
\(664\) 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
\(669\) −16.4057 39.7235i −0.634281 1.53580i
\(670\) −23.6602 + 6.33974i −0.914074 + 0.244925i
\(671\) −19.3896 + 19.3896i −0.748527 + 0.748527i
\(672\) 4.35829 + 1.41608i 0.168125 + 0.0546265i
\(673\) 38.1500i 1.47057i −0.677756 0.735287i \(-0.737047\pi\)
0.677756 0.735287i \(-0.262953\pi\)
\(674\) −3.76857 14.0645i −0.145160 0.541744i
\(675\) −2.14686 + 2.77986i −0.0826327 + 0.106997i
\(676\) 0.485322 + 12.9909i 0.0186662 + 0.499651i
\(677\) −5.93487 3.42650i −0.228095 0.131691i 0.381598 0.924329i \(-0.375374\pi\)
−0.609693 + 0.792638i \(0.708707\pi\)
\(678\) −16.3569 2.17072i −0.628185 0.0833660i
\(679\) 6.27205 13.1850i 0.240699 0.505992i
\(680\) −14.0705 −0.539580
\(681\) −3.64101 2.79986i −0.139524 0.107291i
\(682\) 27.2994 + 7.31486i 1.04535 + 0.280100i
\(683\) −37.9107 10.1582i −1.45061 0.388691i −0.554377 0.832266i \(-0.687043\pi\)
−0.896237 + 0.443575i \(0.853710\pi\)
\(684\) 0.00779026 3.74985i 0.000297868 0.143379i
\(685\) 26.1228 0.998099
\(686\) −5.20452 + 17.7739i −0.198710 + 0.678612i
\(687\) 6.64732 50.0893i 0.253611 1.91103i
\(688\) −7.85896 4.53737i −0.299620 0.172986i
\(689\) −12.6212 6.97598i −0.480830 0.265764i
\(690\) −24.8589 10.3272i −0.946362 0.393148i
\(691\) 9.21173 + 34.3787i 0.350431 + 1.30783i 0.886138 + 0.463422i \(0.153379\pi\)
−0.535707 + 0.844404i \(0.679955\pi\)
\(692\) 5.57047i 0.211758i
\(693\) −27.6504 23.6653i −1.05035 0.898969i
\(694\) 13.7153 13.7153i 0.520624 0.520624i
\(695\) −31.4539 + 8.42805i −1.19312 + 0.319694i
\(696\) 4.21269 1.73983i 0.159682 0.0659481i
\(697\) −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 \(-0.771984\pi\)
−0.754219 + 0.656623i \(0.771984\pi\)
\(702\) −17.4183 6.89949i −0.657411 0.260404i
\(703\) −1.13249 1.96153i −0.0427127 0.0739805i
\(704\) 1.18677 4.42909i 0.0447281 0.166928i
\(705\) 11.6487 1.52127i 0.438714 0.0572943i
\(706\) 16.1404i 0.607451i
\(707\) 7.17338 + 6.11373i 0.269783 + 0.229931i
\(708\) −2.80455 + 21.1330i −0.105401 + 0.794227i
\(709\) 7.29558 1.95485i 0.273991 0.0734157i −0.119207 0.992869i \(-0.538035\pi\)
0.393198 + 0.919454i \(0.371369\pi\)
\(710\) 27.3983 + 7.34135i 1.02824 + 0.275516i
\(711\) −22.0979 + 5.87193i −0.828734 + 0.220214i
\(712\) −8.28882 4.78555i −0.310637 0.179346i
\(713\) 28.4314 28.4314i 1.06476 1.06476i
\(714\) −20.1128 + 18.1098i −0.752704 + 0.677741i
\(715\) −20.3273 33.7372i −0.760198 1.26170i
\(716\) 16.9915 + 9.81003i 0.635001 + 0.366618i
\(717\) −25.8167 + 10.6622i −0.964142 + 0.398188i
\(718\) 14.6478 + 25.3707i 0.546651 + 0.946827i
\(719\) 7.00483 12.1327i 0.261236 0.452474i −0.705334 0.708875i \(-0.749203\pi\)
0.966571 + 0.256400i \(0.0825365\pi\)
\(720\) −6.19713 + 3.56077i −0.230954 + 0.132702i
\(721\) 19.2438 + 3.54590i 0.716677 + 0.132056i
\(722\) −12.3303 + 12.3303i −0.458885 + 0.458885i
\(723\) −0.234466 0.180299i −0.00871988 0.00670540i
\(724\) −8.86781 15.3595i −0.329570 0.570831i
\(725\) −0.889373 1.54044i −0.0330305 0.0572105i
\(726\) −10.5850 + 13.7650i −0.392846 + 0.510867i
\(727\) 12.8052i 0.474920i −0.971397 0.237460i \(-0.923685\pi\)
0.971397 0.237460i \(-0.0763148\pi\)
\(728\) 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
\(732\) 9.56537 + 3.97375i 0.353546 + 0.146874i
\(733\) 1.69855 + 6.33907i 0.0627374 + 0.234139i 0.990174 0.139842i \(-0.0446593\pi\)
−0.927437 + 0.373981i \(0.877993\pi\)
\(734\) 7.09434 + 7.09434i 0.261857 + 0.261857i
\(735\) −15.1183 24.6131i −0.557646 0.907866i
\(736\) −4.61274 4.61274i −0.170028 0.170028i
\(737\) 40.8279 + 23.5720i 1.50391 + 0.868285i
\(738\) 2.12585 + 8.00021i 0.0782535 + 0.294492i
\(739\) 6.90336 25.7637i 0.253944 0.947733i −0.714731 0.699400i \(-0.753451\pi\)
0.968675 0.248333i \(-0.0798826\pi\)
\(740\) −2.15854 + 3.73870i −0.0793495 + 0.137437i
\(741\) −3.11390 7.15798i −0.114392 0.262955i
\(742\) −4.54571 + 9.55587i −0.166878 + 0.350807i
\(743\) −26.6794 26.6794i −0.978774 0.978774i 0.0210054 0.999779i \(-0.493313\pi\)
−0.999779 + 0.0210054i \(0.993313\pi\)
\(744\) −1.38247 10.5859i −0.0506839 0.388098i
\(745\) 14.3438 8.28140i 0.525517 0.303407i
\(746\) 1.51096 5.63897i 0.0553201 0.206458i
\(747\) −0.0859203 + 41.3579i −0.00314366 + 1.51321i
\(748\) 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 −0.165130 0.986272i \(-0.552804\pi\)
−0.936702 + 0.350129i \(0.886138\pi\)
\(752\) 2.74987 + 0.736826i 0.100277 + 0.0268693i
\(753\) 1.32580 3.19138i 0.0483147 0.116300i
\(754\) 6.58252 6.83302i 0.239721 0.248844i
\(755\) 3.70537i 0.134852i
\(756\) −4.27540 + 13.0660i −0.155495 + 0.475207i
\(757\) −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
\(759\) 19.7767 + 47.8858i 0.717849 + 1.73814i
\(760\) −2.87645 0.770743i −0.104340 0.0279578i
\(761\) −1.61189 6.01567i −0.0584311 0.218068i 0.930537 0.366199i \(-0.119341\pi\)
−0.988968 + 0.148131i \(0.952674\pi\)
\(762\) −16.9405 2.24816i −0.613690 0.0814424i
\(763\) −46.2062 + 3.68494i −1.67278 + 0.133404i
\(764\) 11.7887 0.426501
\(765\) 0.0876938 42.2115i 0.00317057 1.52616i
\(766\) 17.5374 10.1252i 0.633653 0.365840i
\(767\) 12.2840 + 42.6435i 0.443551 + 1.53977i
\(768\) −1.71747 + 0.224294i −0.0619737 + 0.00809352i
\(769\) 25.1323 25.1323i 0.906294 0.906294i −0.0896769 0.995971i \(-0.528583\pi\)
0.995971 + 0.0896769i \(0.0285834\pi\)
\(770\) −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