Properties

Label 546.2.bu.a.197.3
Level $546$
Weight $2$
Character 546.197
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 197.3
Character \(\chi\) \(=\) 546.197
Dual form 546.2.bu.a.449.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(-0.703834 + 1.58260i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-2.95010 - 2.95010i) q^{5} +(-1.34651 - 1.08946i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.00924 - 2.22777i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(-0.703834 + 1.58260i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-2.95010 - 2.95010i) q^{5} +(-1.34651 - 1.08946i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.00924 - 2.22777i) q^{9} +(3.61312 - 2.08604i) q^{10} +(4.57939 + 1.22704i) q^{11} +(1.40084 - 1.01865i) q^{12} +(-0.0551355 + 3.60513i) q^{13} +1.00000i q^{14} +(6.74521 - 2.59245i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-0.0517866 + 0.0896970i) q^{17} +(2.67189 - 1.36418i) q^{18} +(-0.467589 - 1.74507i) q^{19} +(1.07981 + 4.02992i) q^{20} +(-0.270245 + 1.71084i) q^{21} +(-2.37046 + 4.10576i) q^{22} +(3.68789 + 6.38760i) q^{23} +(0.621380 + 1.61675i) q^{24} +12.4062i q^{25} +(-3.46802 - 0.986333i) q^{26} +(4.93984 - 1.61183i) q^{27} +(-0.965926 - 0.258819i) q^{28} +(5.86255 - 3.38474i) q^{29} +(0.758322 + 7.18635i) q^{30} +(5.59482 - 5.59482i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-5.16504 + 6.38369i) q^{33} +(-0.0732373 - 0.0732373i) q^{34} +(-3.61312 - 2.08604i) q^{35} +(0.626163 + 2.93393i) q^{36} +(1.73995 - 6.49360i) q^{37} +1.80663 q^{38} +(-5.66667 - 2.62467i) q^{39} -4.17208 q^{40} +(-0.610064 + 2.27679i) q^{41} +(-1.58260 - 0.703834i) q^{42} +(-1.27879 - 0.738312i) q^{43} +(-3.35234 - 3.35234i) q^{44} +(-0.644706 + 12.4996i) q^{45} +(-7.12445 + 1.90899i) q^{46} +(-1.05070 + 1.05070i) q^{47} +(-1.72249 + 0.181761i) q^{48} +(0.866025 - 0.500000i) q^{49} +(-11.9835 - 3.21097i) q^{50} +(-0.105505 - 0.145089i) q^{51} +(1.85031 - 3.09457i) q^{52} +7.03011i q^{53} +(0.278386 + 5.18869i) q^{54} +(-9.88976 - 17.1296i) q^{55} +(0.500000 - 0.866025i) q^{56} +(3.09084 + 0.488231i) q^{57} +(1.75207 + 6.53883i) q^{58} +(2.57322 + 9.60340i) q^{59} +(-7.13775 - 1.12748i) q^{60} +(4.05054 - 7.01575i) q^{61} +(3.95613 + 6.85222i) q^{62} +(-2.51736 - 1.63183i) q^{63} -1.00000i q^{64} +(10.7982 - 10.4729i) q^{65} +(-4.82936 - 6.64127i) q^{66} +(4.97185 + 1.33220i) q^{67} +(0.0896970 - 0.0517866i) q^{68} +(-12.7047 + 1.34063i) q^{69} +(2.95010 - 2.95010i) q^{70} +(13.4294 - 3.59839i) q^{71} +(-2.99602 - 0.154529i) q^{72} +(3.07999 + 3.07999i) q^{73} +(5.82200 + 3.36133i) q^{74} +(-19.6341 - 8.73192i) q^{75} +(-0.467589 + 1.74507i) q^{76} +4.74093 q^{77} +(4.00188 - 4.79427i) q^{78} -1.08752 q^{79} +(1.07981 - 4.02992i) q^{80} +(-0.925943 + 8.95224i) q^{81} +(-2.04131 - 1.17855i) q^{82} +(-8.79180 - 8.79180i) q^{83} +(1.08946 - 1.34651i) q^{84} +(0.417391 - 0.111840i) q^{85} +(1.04413 - 1.04413i) q^{86} +(1.23043 + 11.6604i) q^{87} +(4.10576 - 2.37046i) q^{88} +(10.0049 + 2.68079i) q^{89} +(-11.9068 - 3.85788i) q^{90} +(0.879819 + 3.49656i) q^{91} -7.37577i q^{92} +(4.91653 + 12.7922i) q^{93} +(-0.742959 - 1.28684i) q^{94} +(-3.76869 + 6.52756i) q^{95} +(0.270245 - 1.71084i) q^{96} +(0.420957 + 1.57103i) q^{97} +(0.258819 + 0.965926i) q^{98} +(-6.46749 - 12.6672i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) −0.703834 + 1.58260i −0.406359 + 0.913714i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −2.95010 2.95010i −1.31933 1.31933i −0.914309 0.405018i \(-0.867265\pi\)
−0.405018 0.914309i \(-0.632735\pi\)
\(6\) −1.34651 1.08946i −0.549709 0.444769i
\(7\) 0.965926 0.258819i 0.365086 0.0978244i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −2.00924 2.22777i −0.669745 0.742591i
\(10\) 3.61312 2.08604i 1.14257 0.659663i
\(11\) 4.57939 + 1.22704i 1.38074 + 0.369967i 0.871389 0.490593i \(-0.163220\pi\)
0.509348 + 0.860561i \(0.329887\pi\)
\(12\) 1.40084 1.01865i 0.404387 0.294060i
\(13\) −0.0551355 + 3.60513i −0.0152918 + 0.999883i
\(14\) 1.00000i 0.267261i
\(15\) 6.74521 2.59245i 1.74161 0.669367i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −0.0517866 + 0.0896970i −0.0125601 + 0.0217547i −0.872237 0.489083i \(-0.837331\pi\)
0.859677 + 0.510838i \(0.170665\pi\)
\(18\) 2.67189 1.36418i 0.629771 0.321541i
\(19\) −0.467589 1.74507i −0.107272 0.400346i 0.891321 0.453373i \(-0.149780\pi\)
−0.998593 + 0.0530276i \(0.983113\pi\)
\(20\) 1.07981 + 4.02992i 0.241454 + 0.901117i
\(21\) −0.270245 + 1.71084i −0.0589722 + 0.373336i
\(22\) −2.37046 + 4.10576i −0.505385 + 0.875352i
\(23\) 3.68789 + 6.38760i 0.768977 + 1.33191i 0.938118 + 0.346316i \(0.112567\pi\)
−0.169141 + 0.985592i \(0.554099\pi\)
\(24\) 0.621380 + 1.61675i 0.126839 + 0.330018i
\(25\) 12.4062i 2.48124i
\(26\) −3.46802 0.986333i −0.680134 0.193436i
\(27\) 4.93984 1.61183i 0.950672 0.310197i
\(28\) −0.965926 0.258819i −0.182543 0.0489122i
\(29\) 5.86255 3.38474i 1.08865 0.628531i 0.155432 0.987847i \(-0.450323\pi\)
0.933216 + 0.359315i \(0.116990\pi\)
\(30\) 0.758322 + 7.18635i 0.138450 + 1.31204i
\(31\) 5.59482 5.59482i 1.00486 1.00486i 0.00487084 0.999988i \(-0.498450\pi\)
0.999988 0.00487084i \(-0.00155044\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −5.16504 + 6.38369i −0.899119 + 1.11126i
\(34\) −0.0732373 0.0732373i −0.0125601 0.0125601i
\(35\) −3.61312 2.08604i −0.610729 0.352605i
\(36\) 0.626163 + 2.93393i 0.104360 + 0.488988i
\(37\) 1.73995 6.49360i 0.286047 1.06754i −0.662024 0.749482i \(-0.730302\pi\)
0.948071 0.318059i \(-0.103031\pi\)
\(38\) 1.80663 0.293073
\(39\) −5.66667 2.62467i −0.907393 0.420283i
\(40\) −4.17208 −0.659663
\(41\) −0.610064 + 2.27679i −0.0952760 + 0.355575i −0.997061 0.0766097i \(-0.975590\pi\)
0.901785 + 0.432185i \(0.142257\pi\)
\(42\) −1.58260 0.703834i −0.244200 0.108604i
\(43\) −1.27879 0.738312i −0.195014 0.112591i 0.399314 0.916814i \(-0.369248\pi\)
−0.594328 + 0.804223i \(0.702582\pi\)
\(44\) −3.35234 3.35234i −0.505385 0.505385i
\(45\) −0.644706 + 12.4996i −0.0961072 + 1.86333i
\(46\) −7.12445 + 1.90899i −1.05044 + 0.281465i
\(47\) −1.05070 + 1.05070i −0.153261 + 0.153261i −0.779573 0.626312i \(-0.784564\pi\)
0.626312 + 0.779573i \(0.284564\pi\)
\(48\) −1.72249 + 0.181761i −0.248620 + 0.0262350i
\(49\) 0.866025 0.500000i 0.123718 0.0714286i
\(50\) −11.9835 3.21097i −1.69472 0.454099i
\(51\) −0.105505 0.145089i −0.0147737 0.0203166i
\(52\) 1.85031 3.09457i 0.256592 0.429139i
\(53\) 7.03011i 0.965660i 0.875714 + 0.482830i \(0.160391\pi\)
−0.875714 + 0.482830i \(0.839609\pi\)
\(54\) 0.278386 + 5.18869i 0.0378835 + 0.706091i
\(55\) −9.88976 17.1296i −1.33353 2.30975i
\(56\) 0.500000 0.866025i 0.0668153 0.115728i
\(57\) 3.09084 + 0.488231i 0.409392 + 0.0646678i
\(58\) 1.75207 + 6.53883i 0.230058 + 0.858590i
\(59\) 2.57322 + 9.60340i 0.335005 + 1.25026i 0.903863 + 0.427821i \(0.140719\pi\)
−0.568858 + 0.822436i \(0.692615\pi\)
\(60\) −7.13775 1.12748i −0.921479 0.145557i
\(61\) 4.05054 7.01575i 0.518619 0.898274i −0.481147 0.876640i \(-0.659780\pi\)
0.999766 0.0216343i \(-0.00688695\pi\)
\(62\) 3.95613 + 6.85222i 0.502429 + 0.870233i
\(63\) −2.51736 1.63183i −0.317158 0.205592i
\(64\) 1.00000i 0.125000i
\(65\) 10.7982 10.4729i 1.33935 1.29900i
\(66\) −4.82936 6.64127i −0.594454 0.817484i
\(67\) 4.97185 + 1.33220i 0.607408 + 0.162755i 0.549397 0.835561i \(-0.314857\pi\)
0.0580111 + 0.998316i \(0.481524\pi\)
\(68\) 0.0896970 0.0517866i 0.0108774 0.00628005i
\(69\) −12.7047 + 1.34063i −1.52946 + 0.161393i
\(70\) 2.95010 2.95010i 0.352605 0.352605i
\(71\) 13.4294 3.59839i 1.59377 0.427051i 0.650620 0.759404i \(-0.274509\pi\)
0.943155 + 0.332353i \(0.107843\pi\)
\(72\) −2.99602 0.154529i −0.353084 0.0182114i
\(73\) 3.07999 + 3.07999i 0.360486 + 0.360486i 0.863992 0.503506i \(-0.167957\pi\)
−0.503506 + 0.863992i \(0.667957\pi\)
\(74\) 5.82200 + 3.36133i 0.676794 + 0.390747i
\(75\) −19.6341 8.73192i −2.26715 1.00828i
\(76\) −0.467589 + 1.74507i −0.0536361 + 0.200173i
\(77\) 4.74093 0.540279
\(78\) 4.00188 4.79427i 0.453123 0.542844i
\(79\) −1.08752 −0.122356 −0.0611779 0.998127i \(-0.519486\pi\)
−0.0611779 + 0.998127i \(0.519486\pi\)
\(80\) 1.07981 4.02992i 0.120727 0.450558i
\(81\) −0.925943 + 8.95224i −0.102883 + 0.994694i
\(82\) −2.04131 1.17855i −0.225425 0.130149i
\(83\) −8.79180 8.79180i −0.965026 0.965026i 0.0343828 0.999409i \(-0.489053\pi\)
−0.999409 + 0.0343828i \(0.989053\pi\)
\(84\) 1.08946 1.34651i 0.118870 0.146916i
\(85\) 0.417391 0.111840i 0.0452725 0.0121307i
\(86\) 1.04413 1.04413i 0.112591 0.112591i
\(87\) 1.23043 + 11.6604i 0.131916 + 1.25012i
\(88\) 4.10576 2.37046i 0.437676 0.252692i
\(89\) 10.0049 + 2.68079i 1.06051 + 0.284163i 0.746589 0.665285i \(-0.231690\pi\)
0.313923 + 0.949448i \(0.398357\pi\)
\(90\) −11.9068 3.85788i −1.25509 0.406656i
\(91\) 0.879819 + 3.49656i 0.0922301 + 0.366539i
\(92\) 7.37577i 0.768977i
\(93\) 4.91653 + 12.7922i 0.509820 + 1.32649i
\(94\) −0.742959 1.28684i −0.0766304 0.132728i
\(95\) −3.76869 + 6.52756i −0.386659 + 0.669714i
\(96\) 0.270245 1.71084i 0.0275817 0.174612i
\(97\) 0.420957 + 1.57103i 0.0427417 + 0.159514i 0.983998 0.178178i \(-0.0570203\pi\)
−0.941257 + 0.337692i \(0.890354\pi\)
\(98\) 0.258819 + 0.965926i 0.0261447 + 0.0975732i
\(99\) −6.46749 12.6672i −0.650008 1.27311i
\(100\) 6.20311 10.7441i 0.620311 1.07441i
\(101\) −3.56624 6.17691i −0.354854 0.614626i 0.632239 0.774774i \(-0.282136\pi\)
−0.987093 + 0.160148i \(0.948803\pi\)
\(102\) 0.167452 0.0643584i 0.0165802 0.00637243i
\(103\) 13.8569i 1.36536i 0.730717 + 0.682680i \(0.239186\pi\)
−0.730717 + 0.682680i \(0.760814\pi\)
\(104\) 2.51022 + 2.58820i 0.246148 + 0.253794i
\(105\) 5.84440 4.24990i 0.570355 0.414748i
\(106\) −6.79057 1.81953i −0.659558 0.176728i
\(107\) 3.53028 2.03821i 0.341285 0.197041i −0.319555 0.947568i \(-0.603533\pi\)
0.660840 + 0.750527i \(0.270200\pi\)
\(108\) −5.08394 1.07403i −0.489202 0.103349i
\(109\) 1.84962 1.84962i 0.177161 0.177161i −0.612956 0.790117i \(-0.710020\pi\)
0.790117 + 0.612956i \(0.210020\pi\)
\(110\) 19.1055 5.11932i 1.82164 0.488108i
\(111\) 9.05212 + 7.32406i 0.859189 + 0.695169i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) −6.04528 3.49024i −0.568692 0.328335i 0.187935 0.982182i \(-0.439821\pi\)
−0.756627 + 0.653847i \(0.773154\pi\)
\(114\) −1.27156 + 2.85916i −0.119093 + 0.267785i
\(115\) 7.96445 29.7237i 0.742689 2.77175i
\(116\) −6.76949 −0.628531
\(117\) 8.14219 7.12073i 0.752746 0.658311i
\(118\) −9.94217 −0.915251
\(119\) −0.0268067 + 0.100044i −0.00245737 + 0.00917102i
\(120\) 2.93645 6.60272i 0.268060 0.602743i
\(121\) 9.93886 + 5.73820i 0.903533 + 0.521655i
\(122\) 5.72833 + 5.72833i 0.518619 + 0.518619i
\(123\) −3.17386 2.56797i −0.286177 0.231546i
\(124\) −7.64266 + 2.04785i −0.686331 + 0.183902i
\(125\) 21.8491 21.8491i 1.95425 1.95425i
\(126\) 2.22777 2.00924i 0.198466 0.178997i
\(127\) −2.38397 + 1.37639i −0.211543 + 0.122135i −0.602028 0.798475i \(-0.705641\pi\)
0.390485 + 0.920609i \(0.372307\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) 2.06851 1.50417i 0.182122 0.132435i
\(130\) 7.32123 + 13.1408i 0.642114 + 1.15252i
\(131\) 17.1154i 1.49538i −0.664049 0.747689i \(-0.731163\pi\)
0.664049 0.747689i \(-0.268837\pi\)
\(132\) 7.66491 2.94592i 0.667144 0.256409i
\(133\) −0.903313 1.56458i −0.0783272 0.135667i
\(134\) −2.57362 + 4.45764i −0.222327 + 0.385081i
\(135\) −19.3281 9.81796i −1.66350 0.844996i
\(136\) 0.0268067 + 0.100044i 0.00229866 + 0.00857870i
\(137\) 2.07438 + 7.74168i 0.177226 + 0.661416i 0.996162 + 0.0875311i \(0.0278977\pi\)
−0.818936 + 0.573885i \(0.805436\pi\)
\(138\) 1.99326 12.6188i 0.169678 1.07418i
\(139\) −10.9960 + 19.0456i −0.932666 + 1.61542i −0.153922 + 0.988083i \(0.549190\pi\)
−0.778744 + 0.627341i \(0.784143\pi\)
\(140\) 2.08604 + 3.61312i 0.176302 + 0.305365i
\(141\) −0.923321 2.40236i −0.0777576 0.202315i
\(142\) 13.9031i 1.16672i
\(143\) −4.67613 + 16.4416i −0.391038 + 1.37492i
\(144\) 0.924690 2.85394i 0.0770575 0.237828i
\(145\) −27.2805 7.30978i −2.26552 0.607044i
\(146\) −3.77221 + 2.17788i −0.312190 + 0.180243i
\(147\) 0.181761 + 1.72249i 0.0149914 + 0.142068i
\(148\) −4.75364 + 4.75364i −0.390747 + 0.390747i
\(149\) −1.75740 + 0.470895i −0.143972 + 0.0385772i −0.330085 0.943951i \(-0.607078\pi\)
0.186113 + 0.982528i \(0.440411\pi\)
\(150\) 13.5161 16.7051i 1.10358 1.36396i
\(151\) −1.45928 1.45928i −0.118754 0.118754i 0.645232 0.763987i \(-0.276761\pi\)
−0.763987 + 0.645232i \(0.776761\pi\)
\(152\) −1.56458 0.903313i −0.126904 0.0732683i
\(153\) 0.303876 0.0648537i 0.0245669 0.00524311i
\(154\) −1.22704 + 4.57939i −0.0988779 + 0.369017i
\(155\) −33.0106 −2.65147
\(156\) 3.59514 + 5.10636i 0.287842 + 0.408836i
\(157\) −10.0860 −0.804954 −0.402477 0.915430i \(-0.631851\pi\)
−0.402477 + 0.915430i \(0.631851\pi\)
\(158\) 0.281471 1.05047i 0.0223927 0.0835706i
\(159\) −11.1258 4.94803i −0.882337 0.392404i
\(160\) 3.61312 + 2.08604i 0.285643 + 0.164916i
\(161\) 5.21546 + 5.21546i 0.411036 + 0.411036i
\(162\) −8.40755 3.21140i −0.660559 0.252312i
\(163\) 0.222679 0.0596666i 0.0174415 0.00467345i −0.250088 0.968223i \(-0.580459\pi\)
0.267529 + 0.963550i \(0.413793\pi\)
\(164\) 1.66673 1.66673i 0.130149 0.130149i
\(165\) 34.0700 3.59515i 2.65234 0.279882i
\(166\) 10.7677 6.21674i 0.835737 0.482513i
\(167\) 3.37163 + 0.903426i 0.260905 + 0.0699092i 0.386900 0.922122i \(-0.373546\pi\)
−0.125996 + 0.992031i \(0.540212\pi\)
\(168\) 1.01865 + 1.40084i 0.0785908 + 0.108077i
\(169\) −12.9939 0.397541i −0.999532 0.0305801i
\(170\) 0.432115i 0.0331417i
\(171\) −2.94811 + 4.54793i −0.225448 + 0.347789i
\(172\) 0.738312 + 1.27879i 0.0562957 + 0.0975071i
\(173\) 11.7841 20.4106i 0.895925 1.55179i 0.0632700 0.997996i \(-0.479847\pi\)
0.832655 0.553792i \(-0.186820\pi\)
\(174\) −11.5815 1.82942i −0.877991 0.138688i
\(175\) 3.21097 + 11.9835i 0.242726 + 0.905867i
\(176\) 1.22704 + 4.57939i 0.0924918 + 0.345184i
\(177\) −17.0095 2.68682i −1.27851 0.201954i
\(178\) −5.17889 + 8.97011i −0.388174 + 0.672338i
\(179\) −10.5732 18.3133i −0.790276 1.36880i −0.925796 0.378024i \(-0.876604\pi\)
0.135519 0.990775i \(-0.456730\pi\)
\(180\) 6.80814 10.5026i 0.507449 0.782820i
\(181\) 0.0482642i 0.00358745i −0.999998 0.00179373i \(-0.999429\pi\)
0.999998 0.00179373i \(-0.000570961\pi\)
\(182\) −3.60513 0.0551355i −0.267230 0.00408691i
\(183\) 8.25220 + 11.3483i 0.610020 + 0.838891i
\(184\) 7.12445 + 1.90899i 0.525221 + 0.140733i
\(185\) −24.2898 + 14.0237i −1.78582 + 1.03105i
\(186\) −13.6288 + 1.43814i −0.999311 + 0.105450i
\(187\) −0.347213 + 0.347213i −0.0253907 + 0.0253907i
\(188\) 1.43529 0.384584i 0.104679 0.0280487i
\(189\) 4.35434 2.83543i 0.316732 0.206247i
\(190\) −5.32973 5.32973i −0.386659 0.386659i
\(191\) −4.60045 2.65607i −0.332877 0.192187i 0.324241 0.945975i \(-0.394891\pi\)
−0.657118 + 0.753788i \(0.728225\pi\)
\(192\) 1.58260 + 0.703834i 0.114214 + 0.0507948i
\(193\) −0.698913 + 2.60838i −0.0503089 + 0.187755i −0.986507 0.163716i \(-0.947652\pi\)
0.936199 + 0.351471i \(0.114319\pi\)
\(194\) −1.62645 −0.116773
\(195\) 8.97421 + 24.4603i 0.642656 + 1.75164i
\(196\) −1.00000 −0.0714286
\(197\) −1.51048 + 5.63719i −0.107617 + 0.401633i −0.998629 0.0523474i \(-0.983330\pi\)
0.891012 + 0.453980i \(0.149996\pi\)
\(198\) 13.9095 2.96859i 0.988507 0.210969i
\(199\) −9.34223 5.39374i −0.662253 0.382352i 0.130882 0.991398i \(-0.458219\pi\)
−0.793135 + 0.609046i \(0.791552\pi\)
\(200\) 8.77253 + 8.77253i 0.620311 + 0.620311i
\(201\) −5.60770 + 6.93079i −0.395537 + 0.488860i
\(202\) 6.88945 1.84602i 0.484740 0.129886i
\(203\) 4.78675 4.78675i 0.335964 0.335964i
\(204\) 0.0188256 + 0.178404i 0.00131806 + 0.0124907i
\(205\) 8.51652 4.91701i 0.594819 0.343419i
\(206\) −13.3847 3.58643i −0.932559 0.249878i
\(207\) 6.82030 21.0500i 0.474044 1.46307i
\(208\) −3.14970 + 1.75482i −0.218393 + 0.121675i
\(209\) 8.56508i 0.592459i
\(210\) 2.59245 + 6.74521i 0.178896 + 0.465464i
\(211\) −7.35043 12.7313i −0.506025 0.876460i −0.999976 0.00697061i \(-0.997781\pi\)
0.493951 0.869490i \(-0.335552\pi\)
\(212\) 3.51506 6.08825i 0.241415 0.418143i
\(213\) −3.75724 + 23.7860i −0.257442 + 1.62979i
\(214\) 1.05505 + 3.93751i 0.0721220 + 0.269163i
\(215\) 1.59448 + 5.95067i 0.108742 + 0.405832i
\(216\) 2.35326 4.63273i 0.160119 0.315217i
\(217\) 3.95613 6.85222i 0.268560 0.465159i
\(218\) 1.30788 + 2.26531i 0.0885806 + 0.153426i
\(219\) −7.04220 + 2.70659i −0.475867 + 0.182894i
\(220\) 19.7795i 1.33353i
\(221\) −0.320514 0.191643i −0.0215601 0.0128913i
\(222\) −9.41736 + 6.84807i −0.632052 + 0.459612i
\(223\) 12.1400 + 3.25289i 0.812951 + 0.217830i 0.641262 0.767322i \(-0.278411\pi\)
0.171689 + 0.985151i \(0.445078\pi\)
\(224\) −0.866025 + 0.500000i −0.0578638 + 0.0334077i
\(225\) 27.6382 24.9270i 1.84255 1.66180i
\(226\) 4.93595 4.93595i 0.328335 0.328335i
\(227\) −3.63497 + 0.973988i −0.241262 + 0.0646459i −0.377424 0.926041i \(-0.623190\pi\)
0.136162 + 0.990687i \(0.456523\pi\)
\(228\) −2.43263 1.96824i −0.161105 0.130350i
\(229\) −0.978773 0.978773i −0.0646792 0.0646792i 0.674027 0.738706i \(-0.264563\pi\)
−0.738706 + 0.674027i \(0.764563\pi\)
\(230\) 26.6496 + 15.3861i 1.75722 + 1.01453i
\(231\) −3.33683 + 7.50299i −0.219547 + 0.493660i
\(232\) 1.75207 6.53883i 0.115029 0.429295i
\(233\) 0.0898158 0.00588403 0.00294201 0.999996i \(-0.499064\pi\)
0.00294201 + 0.999996i \(0.499064\pi\)
\(234\) 4.77074 + 9.70773i 0.311873 + 0.634614i
\(235\) 6.19937 0.404402
\(236\) 2.57322 9.60340i 0.167503 0.625128i
\(237\) 0.765435 1.72111i 0.0497203 0.111798i
\(238\) −0.0896970 0.0517866i −0.00581419 0.00335683i
\(239\) 19.6388 + 19.6388i 1.27033 + 1.27033i 0.945915 + 0.324415i \(0.105167\pi\)
0.324415 + 0.945915i \(0.394833\pi\)
\(240\) 5.61773 + 4.54530i 0.362623 + 0.293398i
\(241\) −1.34686 + 0.360891i −0.0867592 + 0.0232471i −0.301938 0.953328i \(-0.597633\pi\)
0.215178 + 0.976575i \(0.430967\pi\)
\(242\) −8.11505 + 8.11505i −0.521655 + 0.521655i
\(243\) −13.5161 7.76629i −0.867058 0.498207i
\(244\) −7.01575 + 4.05054i −0.449137 + 0.259309i
\(245\) −4.02992 1.07981i −0.257462 0.0689867i
\(246\) 3.30192 2.40107i 0.210523 0.153087i
\(247\) 6.31697 1.58950i 0.401939 0.101138i
\(248\) 7.91227i 0.502429i
\(249\) 20.1019 7.72593i 1.27390 0.489611i
\(250\) 15.4497 + 26.7596i 0.977123 + 1.69243i
\(251\) −10.2710 + 17.7899i −0.648299 + 1.12289i 0.335230 + 0.942136i \(0.391186\pi\)
−0.983529 + 0.180751i \(0.942147\pi\)
\(252\) 1.36418 + 2.67189i 0.0859354 + 0.168313i
\(253\) 9.05039 + 33.7765i 0.568993 + 2.12351i
\(254\) −0.712470 2.65897i −0.0447043 0.166839i
\(255\) −0.116777 + 0.739279i −0.00731285 + 0.0462955i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 12.6045 + 21.8317i 0.786250 + 1.36182i 0.928250 + 0.371958i \(0.121313\pi\)
−0.142000 + 0.989867i \(0.545353\pi\)
\(258\) 0.917545 + 2.38733i 0.0571238 + 0.148629i
\(259\) 6.72267i 0.417726i
\(260\) −14.5879 + 3.67067i −0.904704 + 0.227646i
\(261\) −19.3197 6.25968i −1.19586 0.387464i
\(262\) 16.5322 + 4.42979i 1.02136 + 0.273673i
\(263\) 5.89399 3.40289i 0.363439 0.209831i −0.307149 0.951661i \(-0.599375\pi\)
0.670588 + 0.741830i \(0.266042\pi\)
\(264\) 0.861717 + 8.16619i 0.0530350 + 0.502594i
\(265\) 20.7396 20.7396i 1.27402 1.27402i
\(266\) 1.74507 0.467589i 0.106997 0.0286697i
\(267\) −11.2844 + 13.9468i −0.690592 + 0.853532i
\(268\) −3.63965 3.63965i −0.222327 0.222327i
\(269\) −9.97693 5.76018i −0.608304 0.351205i 0.163997 0.986461i \(-0.447561\pi\)
−0.772301 + 0.635256i \(0.780894\pi\)
\(270\) 14.4859 16.1284i 0.881584 0.981546i
\(271\) 1.87135 6.98396i 0.113676 0.424246i −0.885508 0.464624i \(-0.846190\pi\)
0.999184 + 0.0403781i \(0.0128563\pi\)
\(272\) −0.103573 −0.00628005
\(273\) −6.15289 1.06859i −0.372390 0.0646743i
\(274\) −8.01477 −0.484190
\(275\) −15.2230 + 56.8129i −0.917979 + 3.42595i
\(276\) 11.6729 + 5.19132i 0.702625 + 0.312481i
\(277\) 22.4542 + 12.9640i 1.34914 + 0.778929i 0.988128 0.153631i \(-0.0490968\pi\)
0.361016 + 0.932560i \(0.382430\pi\)
\(278\) −15.5506 15.5506i −0.932666 0.932666i
\(279\) −23.7053 1.22267i −1.41920 0.0731996i
\(280\) −4.02992 + 1.07981i −0.240834 + 0.0645312i
\(281\) −16.6785 + 16.6785i −0.994954 + 0.994954i −0.999987 0.00503350i \(-0.998398\pi\)
0.00503350 + 0.999987i \(0.498398\pi\)
\(282\) 2.55948 0.270082i 0.152415 0.0160832i
\(283\) 7.88176 4.55053i 0.468522 0.270501i −0.247099 0.968990i \(-0.579477\pi\)
0.715621 + 0.698489i \(0.246144\pi\)
\(284\) −13.4294 3.59839i −0.796887 0.213525i
\(285\) −7.67798 10.5586i −0.454804 0.625440i
\(286\) −14.6711 8.77221i −0.867521 0.518711i
\(287\) 2.35711i 0.139136i
\(288\) 2.51736 + 1.63183i 0.148337 + 0.0961568i
\(289\) 8.49464 + 14.7131i 0.499684 + 0.865479i
\(290\) 14.1214 24.4590i 0.829238 1.43628i
\(291\) −2.78260 0.439541i −0.163119 0.0257663i
\(292\) −1.12736 4.20735i −0.0659735 0.246216i
\(293\) −5.91373 22.0704i −0.345484 1.28936i −0.892046 0.451945i \(-0.850730\pi\)
0.546562 0.837419i \(-0.315936\pi\)
\(294\) −1.71084 0.270245i −0.0997781 0.0157610i
\(295\) 20.7398 35.9223i 1.20752 2.09148i
\(296\) −3.36133 5.82200i −0.195374 0.338397i
\(297\) 24.5992 1.31981i 1.42739 0.0765830i
\(298\) 1.81940i 0.105395i
\(299\) −23.2315 + 12.9431i −1.34351 + 0.748520i
\(300\) 12.6376 + 17.3791i 0.729635 + 1.00338i
\(301\) −1.42631 0.382178i −0.0822111 0.0220284i
\(302\) 1.78724 1.03187i 0.102844 0.0593772i
\(303\) 12.2856 1.29641i 0.705790 0.0744768i
\(304\) 1.27748 1.27748i 0.0732683 0.0732683i
\(305\) −32.6467 + 8.74766i −1.86934 + 0.500889i
\(306\) −0.0160051 + 0.310307i −0.000914948 + 0.0177391i
\(307\) −3.72310 3.72310i −0.212489 0.212489i 0.592835 0.805324i \(-0.298009\pi\)
−0.805324 + 0.592835i \(0.798009\pi\)
\(308\) −4.10576 2.37046i −0.233948 0.135070i
\(309\) −21.9299 9.75295i −1.24755 0.554826i
\(310\) 8.54377 31.8858i 0.485253 1.81099i
\(311\) −4.86351 −0.275784 −0.137892 0.990447i \(-0.544033\pi\)
−0.137892 + 0.990447i \(0.544033\pi\)
\(312\) −5.86286 + 2.15102i −0.331919 + 0.121777i
\(313\) −5.85878 −0.331158 −0.165579 0.986197i \(-0.552949\pi\)
−0.165579 + 0.986197i \(0.552949\pi\)
\(314\) 2.61046 9.74237i 0.147317 0.549794i
\(315\) 2.61240 + 12.2406i 0.147192 + 0.689678i
\(316\) 0.941822 + 0.543761i 0.0529816 + 0.0305890i
\(317\) 16.7473 + 16.7473i 0.940621 + 0.940621i 0.998333 0.0577120i \(-0.0183805\pi\)
−0.0577120 + 0.998333i \(0.518381\pi\)
\(318\) 7.65901 9.46609i 0.429496 0.530832i
\(319\) 31.0001 8.30645i 1.73567 0.465072i
\(320\) −2.95010 + 2.95010i −0.164916 + 0.164916i
\(321\) 0.740934 + 7.02157i 0.0413549 + 0.391906i
\(322\) −6.38760 + 3.68789i −0.355967 + 0.205518i
\(323\) 0.180742 + 0.0484297i 0.0100568 + 0.00269470i
\(324\) 5.27801 7.28990i 0.293223 0.404994i
\(325\) −44.7260 0.684023i −2.48095 0.0379428i
\(326\) 0.230534i 0.0127681i
\(327\) 1.62538 + 4.22902i 0.0898836 + 0.233865i
\(328\) 1.17855 + 2.04131i 0.0650747 + 0.112713i
\(329\) −0.742959 + 1.28684i −0.0409607 + 0.0709460i
\(330\) −5.34531 + 33.8396i −0.294250 + 1.86281i
\(331\) −3.62641 13.5340i −0.199326 0.743893i −0.991105 0.133086i \(-0.957511\pi\)
0.791779 0.610808i \(-0.209155\pi\)
\(332\) 3.21802 + 12.0098i 0.176612 + 0.659125i
\(333\) −17.9622 + 9.17095i −0.984325 + 0.502565i
\(334\) −1.74528 + 3.02292i −0.0954977 + 0.165407i
\(335\) −10.7373 18.5976i −0.586643 1.01610i
\(336\) −1.61675 + 0.621380i −0.0882010 + 0.0338991i
\(337\) 8.57510i 0.467115i 0.972343 + 0.233558i \(0.0750368\pi\)
−0.972343 + 0.233558i \(0.924963\pi\)
\(338\) 3.74707 12.4483i 0.203814 0.677097i
\(339\) 9.77853 7.11070i 0.531097 0.386200i
\(340\) −0.417391 0.111840i −0.0226362 0.00606536i
\(341\) 32.4859 18.7557i 1.75921 1.01568i
\(342\) −3.62994 4.02475i −0.196285 0.217634i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) −1.42631 + 0.382178i −0.0769014 + 0.0206057i
\(345\) 41.4351 + 33.5251i 2.23079 + 1.80493i
\(346\) 16.6652 + 16.6652i 0.895925 + 0.895925i
\(347\) −11.3329 6.54304i −0.608380 0.351249i 0.163951 0.986469i \(-0.447576\pi\)
−0.772331 + 0.635220i \(0.780909\pi\)
\(348\) 4.76460 10.7134i 0.255409 0.574298i
\(349\) −7.59982 + 28.3629i −0.406809 + 1.51823i 0.393886 + 0.919159i \(0.371131\pi\)
−0.800695 + 0.599072i \(0.795536\pi\)
\(350\) −12.4062 −0.663141
\(351\) 5.53850 + 17.8976i 0.295623 + 0.955305i
\(352\) −4.74093 −0.252692
\(353\) −4.31522 + 16.1046i −0.229676 + 0.857162i 0.750801 + 0.660528i \(0.229668\pi\)
−0.980477 + 0.196634i \(0.936999\pi\)
\(354\) 6.99764 15.7345i 0.371920 0.836278i
\(355\) −50.2337 29.0024i −2.66613 1.53929i
\(356\) −7.32406 7.32406i −0.388174 0.388174i
\(357\) −0.139462 0.112839i −0.00738111 0.00597205i
\(358\) 20.4258 5.47308i 1.07954 0.289261i
\(359\) 4.13027 4.13027i 0.217987 0.217987i −0.589662 0.807650i \(-0.700739\pi\)
0.807650 + 0.589662i \(0.200739\pi\)
\(360\) 8.38269 + 9.29444i 0.441806 + 0.489860i
\(361\) 13.6279 7.86805i 0.717256 0.414108i
\(362\) 0.0466197 + 0.0124917i 0.00245027 + 0.000656549i
\(363\) −16.0766 + 11.6905i −0.843802 + 0.613591i
\(364\) 0.986333 3.46802i 0.0516979 0.181774i
\(365\) 18.1726i 0.951197i
\(366\) −13.0974 + 5.03386i −0.684614 + 0.263124i
\(367\) 9.22631 + 15.9804i 0.481610 + 0.834172i 0.999777 0.0211067i \(-0.00671897\pi\)
−0.518168 + 0.855279i \(0.673386\pi\)
\(368\) −3.68789 + 6.38760i −0.192244 + 0.332977i
\(369\) 6.29793 3.21552i 0.327857 0.167393i
\(370\) −7.25922 27.0918i −0.377389 1.40844i
\(371\) 1.81953 + 6.79057i 0.0944651 + 0.352549i
\(372\) 2.13825 13.5366i 0.110863 0.701841i
\(373\) −11.6021 + 20.0954i −0.600733 + 1.04050i 0.391977 + 0.919975i \(0.371791\pi\)
−0.992710 + 0.120525i \(0.961542\pi\)
\(374\) −0.245517 0.425247i −0.0126954 0.0219890i
\(375\) 19.2002 + 49.9566i 0.991496 + 2.57975i
\(376\) 1.48592i 0.0766304i
\(377\) 11.8792 + 21.3219i 0.611810 + 1.09813i
\(378\) 1.61183 + 4.93984i 0.0829037 + 0.254078i
\(379\) 7.11452 + 1.90633i 0.365448 + 0.0979216i 0.436870 0.899525i \(-0.356087\pi\)
−0.0714217 + 0.997446i \(0.522754\pi\)
\(380\) 6.52756 3.76869i 0.334857 0.193330i
\(381\) −0.500347 4.74162i −0.0256336 0.242920i
\(382\) 3.75625 3.75625i 0.192187 0.192187i
\(383\) 4.01147 1.07487i 0.204977 0.0549233i −0.154870 0.987935i \(-0.549496\pi\)
0.359846 + 0.933012i \(0.382829\pi\)
\(384\) −1.08946 + 1.34651i −0.0555962 + 0.0687137i
\(385\) −13.9862 13.9862i −0.712804 0.712804i
\(386\) −2.33861 1.35020i −0.119032 0.0687232i
\(387\) 0.924607 + 4.33230i 0.0470004 + 0.220223i
\(388\) 0.420957 1.57103i 0.0213709 0.0797572i
\(389\) −0.214733 −0.0108874 −0.00544369 0.999985i \(-0.501733\pi\)
−0.00544369 + 0.999985i \(0.501733\pi\)
\(390\) −25.9495 + 2.33763i −1.31401 + 0.118370i
\(391\) −0.763932 −0.0386337
\(392\) 0.258819 0.965926i 0.0130723 0.0487866i
\(393\) 27.0868 + 12.0464i 1.36635 + 0.607660i
\(394\) −5.05416 2.91802i −0.254625 0.147008i
\(395\) 3.20830 + 3.20830i 0.161427 + 0.161427i
\(396\) −0.732611 + 14.2039i −0.0368151 + 0.713773i
\(397\) 31.1696 8.35188i 1.56436 0.419169i 0.630319 0.776336i \(-0.282924\pi\)
0.934040 + 0.357167i \(0.116257\pi\)
\(398\) 7.62790 7.62790i 0.382352 0.382352i
\(399\) 3.11189 0.328375i 0.155789 0.0164393i
\(400\) −10.7441 + 6.20311i −0.537205 + 0.310156i
\(401\) −29.0147 7.77448i −1.44893 0.388239i −0.553277 0.832998i \(-0.686623\pi\)
−0.895650 + 0.444759i \(0.853289\pi\)
\(402\) −5.24325 7.21044i −0.261510 0.359624i
\(403\) 19.8616 + 20.4785i 0.989375 + 1.02011i
\(404\) 7.13248i 0.354854i
\(405\) 29.1417 23.6784i 1.44806 1.17659i
\(406\) 3.38474 + 5.86255i 0.167982 + 0.290953i
\(407\) 15.9358 27.6017i 0.789910 1.36817i
\(408\) −0.177197 0.0279901i −0.00877256 0.00138572i
\(409\) 2.65086 + 9.89314i 0.131077 + 0.489184i 0.999983 0.00579155i \(-0.00184352\pi\)
−0.868907 + 0.494976i \(0.835177\pi\)
\(410\) 2.54523 + 9.49894i 0.125700 + 0.469119i
\(411\) −13.7120 2.16595i −0.676362 0.106838i
\(412\) 6.92845 12.0004i 0.341340 0.591218i
\(413\) 4.97109 + 8.61018i 0.244611 + 0.423679i
\(414\) 18.5675 + 12.0360i 0.912542 + 0.591539i
\(415\) 51.8735i 2.54637i
\(416\) −0.879819 3.49656i −0.0431367 0.171433i
\(417\) −22.4022 30.8071i −1.09704 1.50863i
\(418\) 8.27324 + 2.21681i 0.404657 + 0.108428i
\(419\) −13.6818 + 7.89918i −0.668399 + 0.385900i −0.795470 0.605993i \(-0.792776\pi\)
0.127071 + 0.991894i \(0.459442\pi\)
\(420\) −7.18635 + 0.758322i −0.350658 + 0.0370023i
\(421\) −12.5693 + 12.5693i −0.612592 + 0.612592i −0.943621 0.331028i \(-0.892604\pi\)
0.331028 + 0.943621i \(0.392604\pi\)
\(422\) 14.1999 3.80486i 0.691242 0.185218i
\(423\) 4.45184 + 0.229617i 0.216456 + 0.0111644i
\(424\) 4.97104 + 4.97104i 0.241415 + 0.241415i
\(425\) −1.11280 0.642476i −0.0539788 0.0311647i
\(426\) −22.0031 9.78549i −1.06605 0.474108i
\(427\) 2.09672 7.82505i 0.101467 0.378681i
\(428\) −4.07641 −0.197041
\(429\) −22.7293 18.9726i −1.09738 0.916007i
\(430\) −6.16059 −0.297090
\(431\) 4.06934 15.1870i 0.196013 0.731531i −0.795989 0.605311i \(-0.793049\pi\)
0.992002 0.126220i \(-0.0402846\pi\)
\(432\) 3.86581 + 3.47211i 0.185994 + 0.167052i
\(433\) −30.7795 17.7705i −1.47917 0.853998i −0.479446 0.877571i \(-0.659162\pi\)
−0.999722 + 0.0235735i \(0.992496\pi\)
\(434\) 5.59482 + 5.59482i 0.268560 + 0.268560i
\(435\) 30.7694 38.0292i 1.47528 1.82336i
\(436\) −2.52662 + 0.677007i −0.121003 + 0.0324227i
\(437\) 9.42238 9.42238i 0.450733 0.450733i
\(438\) −0.791710 7.50275i −0.0378294 0.358495i
\(439\) 1.08192 0.624646i 0.0516372 0.0298127i −0.473959 0.880547i \(-0.657176\pi\)
0.525596 + 0.850734i \(0.323842\pi\)
\(440\) −19.1055 5.11932i −0.910821 0.244054i
\(441\) −2.85394 0.924690i −0.135902 0.0440328i
\(442\) 0.268068 0.259992i 0.0127507 0.0123666i
\(443\) 25.6877i 1.22046i −0.792225 0.610229i \(-0.791077\pi\)
0.792225 0.610229i \(-0.208923\pi\)
\(444\) −4.17733 10.8689i −0.198247 0.515814i
\(445\) −21.6067 37.4240i −1.02426 1.77407i
\(446\) −6.28410 + 10.8844i −0.297561 + 0.515390i
\(447\) 0.491682 3.11270i 0.0232558 0.147225i
\(448\) −0.258819 0.965926i −0.0122281 0.0456357i
\(449\) −3.97995 14.8534i −0.187825 0.700974i −0.994008 0.109307i \(-0.965137\pi\)
0.806183 0.591667i \(-0.201530\pi\)
\(450\) 16.9244 + 33.1481i 0.797822 + 1.56262i
\(451\) −5.58744 + 9.67773i −0.263102 + 0.455706i
\(452\) 3.49024 + 6.04528i 0.164167 + 0.284346i
\(453\) 3.33654 1.28236i 0.156764 0.0602507i
\(454\) 3.76320i 0.176616i
\(455\) 7.71965 12.9108i 0.361903 0.605266i
\(456\) 2.53079 1.84033i 0.118515 0.0861811i
\(457\) −29.3164 7.85531i −1.37136 0.367456i −0.503387 0.864061i \(-0.667913\pi\)
−0.867977 + 0.496605i \(0.834580\pi\)
\(458\) 1.19875 0.692097i 0.0560138 0.0323396i
\(459\) −0.111241 + 0.526560i −0.00519228 + 0.0245777i
\(460\) −21.7593 + 21.7593i −1.01453 + 1.01453i
\(461\) 10.5705 2.83234i 0.492315 0.131915i −0.00411612 0.999992i \(-0.501310\pi\)
0.496431 + 0.868076i \(0.334644\pi\)
\(462\) −6.38369 5.16504i −0.296996 0.240300i
\(463\) −18.0493 18.0493i −0.838821 0.838821i 0.149883 0.988704i \(-0.452110\pi\)
−0.988704 + 0.149883i \(0.952110\pi\)
\(464\) 5.86255 + 3.38474i 0.272162 + 0.157133i
\(465\) 23.2340 52.2425i 1.07745 2.42269i
\(466\) −0.0232460 + 0.0867554i −0.00107685 + 0.00401887i
\(467\) −2.47419 −0.114492 −0.0572458 0.998360i \(-0.518232\pi\)
−0.0572458 + 0.998360i \(0.518232\pi\)
\(468\) −10.6117 + 2.09564i −0.490526 + 0.0968708i
\(469\) 5.14724 0.237677
\(470\) −1.60451 + 5.98813i −0.0740107 + 0.276212i
\(471\) 7.09890 15.9622i 0.327100 0.735497i
\(472\) 8.61018 + 4.97109i 0.396315 + 0.228813i
\(473\) −4.95015 4.95015i −0.227608 0.227608i
\(474\) 1.46436 + 1.18481i 0.0672601 + 0.0544201i
\(475\) 21.6497 5.80102i 0.993356 0.266169i
\(476\) 0.0732373 0.0732373i 0.00335683 0.00335683i
\(477\) 15.6615 14.1251i 0.717090 0.646746i
\(478\) −24.0525 + 13.8867i −1.10014 + 0.635165i
\(479\) 8.31474 + 2.22793i 0.379910 + 0.101797i 0.443720 0.896165i \(-0.353658\pi\)
−0.0638099 + 0.997962i \(0.520325\pi\)
\(480\) −5.84440 + 4.24990i −0.266759 + 0.193981i
\(481\) 23.3143 + 6.63079i 1.06304 + 0.302338i
\(482\) 1.39438i 0.0635121i
\(483\) −11.9248 + 4.58316i −0.542597 + 0.208541i
\(484\) −5.73820 9.93886i −0.260827 0.451766i
\(485\) 3.39285 5.87658i 0.154061 0.266842i
\(486\) 10.9999 11.0455i 0.498965 0.501033i
\(487\) −8.42687 31.4495i −0.381858 1.42511i −0.843061 0.537818i \(-0.819249\pi\)
0.461203 0.887295i \(-0.347418\pi\)
\(488\) −2.09672 7.82505i −0.0949138 0.354223i
\(489\) −0.0623005 + 0.394406i −0.00281733 + 0.0178357i
\(490\) 2.08604 3.61312i 0.0942376 0.163224i
\(491\) −1.00976 1.74895i −0.0455696 0.0789289i 0.842341 0.538945i \(-0.181177\pi\)
−0.887911 + 0.460016i \(0.847844\pi\)
\(492\) 1.46466 + 3.81086i 0.0660320 + 0.171807i
\(493\) 0.701138i 0.0315777i
\(494\) −0.0996092 + 6.51312i −0.00448163 + 0.293039i
\(495\) −18.2899 + 56.4495i −0.822071 + 2.53722i
\(496\) 7.64266 + 2.04785i 0.343166 + 0.0919510i
\(497\) 12.0405 6.95156i 0.540088 0.311820i
\(498\) 2.25993 + 21.4165i 0.101270 + 0.959698i
\(499\) 10.4669 10.4669i 0.468564 0.468564i −0.432885 0.901449i \(-0.642504\pi\)
0.901449 + 0.432885i \(0.142504\pi\)
\(500\) −29.8465 + 7.99734i −1.33477 + 0.357652i
\(501\) −3.80283 + 4.70008i −0.169898 + 0.209984i
\(502\) −14.5254 14.5254i −0.648299 0.648299i
\(503\) 20.9311 + 12.0846i 0.933272 + 0.538825i 0.887845 0.460143i \(-0.152202\pi\)
0.0454272 + 0.998968i \(0.485535\pi\)
\(504\) −2.93393 + 0.626163i −0.130687 + 0.0278915i
\(505\) −7.70175 + 28.7433i −0.342723 + 1.27906i
\(506\) −34.9680 −1.55452
\(507\) 9.77471 20.2844i 0.434110 0.900860i
\(508\) 2.75277 0.122135
\(509\) −6.72082 + 25.0824i −0.297895 + 1.11176i 0.640996 + 0.767545i \(0.278522\pi\)
−0.938891 + 0.344215i \(0.888145\pi\)
\(510\) −0.683865 0.304137i −0.0302821 0.0134674i
\(511\) 3.77221 + 2.17788i 0.166873 + 0.0963439i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −5.12257 7.86667i −0.226167 0.347322i
\(514\) −24.3501 + 6.52459i −1.07404 + 0.287787i
\(515\) 40.8793 40.8793i 1.80136 1.80136i
\(516\) −2.54346 + 0.268393i −0.111970 + 0.0118153i
\(517\) −6.10083 + 3.52232i −0.268314 + 0.154911i
\(518\) 6.49360 + 1.73995i 0.285312 + 0.0764492i
\(519\) 24.0077 + 33.0151i 1.05382 + 1.44920i
\(520\) 0.230029 15.0409i 0.0100875 0.659586i
\(521\) 9.17765i 0.402080i −0.979583 0.201040i \(-0.935568\pi\)
0.979583 0.201040i \(-0.0644321\pi\)
\(522\) 11.0467 17.0413i 0.483500 0.745876i
\(523\) −3.98644 6.90471i −0.174315 0.301922i 0.765609 0.643306i \(-0.222438\pi\)
−0.939924 + 0.341384i \(0.889104\pi\)
\(524\) −8.55770 + 14.8224i −0.373845 + 0.647518i
\(525\) −21.2250 3.35272i −0.926337 0.146325i
\(526\) 1.76147 + 6.57389i 0.0768036 + 0.286635i
\(527\) 0.212102 + 0.791575i 0.00923930 + 0.0344816i
\(528\) −8.11096 1.28121i −0.352984 0.0557575i
\(529\) −15.7010 + 27.1949i −0.682652 + 1.18239i
\(530\) 14.6651 + 25.4007i 0.637010 + 1.10333i
\(531\) 16.2240 25.0281i 0.704061 1.08613i
\(532\) 1.80663i 0.0783272i
\(533\) −8.17449 2.32489i −0.354076 0.100702i
\(534\) −10.5510 14.5096i −0.456586 0.627891i
\(535\) −16.4276 4.40176i −0.710227 0.190305i
\(536\) 4.45764 2.57362i 0.192541 0.111163i
\(537\) 36.4243 3.84359i 1.57183 0.165863i
\(538\) 8.14613 8.14613i 0.351205 0.351205i
\(539\) 4.57939 1.22704i 0.197248 0.0528525i
\(540\) 11.8296 + 18.1667i 0.509067 + 0.781769i
\(541\) −5.50181 5.50181i −0.236541 0.236541i 0.578875 0.815416i \(-0.303492\pi\)
−0.815416 + 0.578875i \(0.803492\pi\)
\(542\) 6.26165 + 3.61517i 0.268961 + 0.155285i
\(543\) 0.0763829 + 0.0339700i 0.00327790 + 0.00145779i
\(544\) 0.0268067 0.100044i 0.00114933 0.00428935i
\(545\) −10.9131 −0.467467
\(546\) 2.62467 5.66667i 0.112325 0.242511i
\(547\) 29.0628 1.24263 0.621317 0.783559i \(-0.286598\pi\)
0.621317 + 0.783559i \(0.286598\pi\)
\(548\) 2.07438 7.74168i 0.0886130 0.330708i
\(549\) −23.7680 + 5.07260i −1.01439 + 0.216493i
\(550\) −50.9370 29.4085i −2.17196 1.25398i
\(551\) −8.64787 8.64787i −0.368412 0.368412i
\(552\) −8.03559 + 9.93153i −0.342017 + 0.422714i
\(553\) −1.05047 + 0.281471i −0.0446704 + 0.0119694i
\(554\) −18.3338 + 18.3338i −0.778929 + 0.778929i
\(555\) −5.09795 48.3114i −0.216396 2.05071i
\(556\) 19.0456 10.9960i 0.807712 0.466333i
\(557\) 16.1034 + 4.31489i 0.682323 + 0.182828i 0.583299 0.812257i \(-0.301761\pi\)
0.0990234 + 0.995085i \(0.468428\pi\)
\(558\) 7.31639 22.5811i 0.309728 0.955934i
\(559\) 2.73222 4.56951i 0.115560 0.193270i
\(560\) 4.17208i 0.176302i
\(561\) −0.305118 0.793879i −0.0128821 0.0335176i
\(562\) −11.7935 20.4269i −0.497477 0.861655i
\(563\) −12.6418 + 21.8962i −0.532787 + 0.922815i 0.466480 + 0.884532i \(0.345522\pi\)
−0.999267 + 0.0382828i \(0.987811\pi\)
\(564\) −0.401561 + 2.54217i −0.0169088 + 0.107044i
\(565\) 7.53762 + 28.1308i 0.317110 + 1.18347i
\(566\) 2.35553 + 8.79096i 0.0990103 + 0.369511i
\(567\) 1.42262 + 8.88685i 0.0597444 + 0.373213i
\(568\) 6.95156 12.0405i 0.291681 0.505206i
\(569\) 5.38383 + 9.32507i 0.225702 + 0.390927i 0.956530 0.291635i \(-0.0941991\pi\)
−0.730828 + 0.682562i \(0.760866\pi\)
\(570\) 12.1861 4.68358i 0.510418 0.196174i
\(571\) 9.68481i 0.405297i −0.979252 0.202648i \(-0.935045\pi\)
0.979252 0.202648i \(-0.0649549\pi\)
\(572\) 12.2705 11.9008i 0.513054 0.497597i
\(573\) 7.44145 5.41123i 0.310871 0.226057i
\(574\) −2.27679 0.610064i −0.0950314 0.0254636i
\(575\) −79.2461 + 45.7527i −3.30479 + 1.90802i
\(576\) −2.22777 + 2.00924i −0.0928239 + 0.0837182i
\(577\) 27.1300 27.1300i 1.12944 1.12944i 0.139168 0.990269i \(-0.455557\pi\)
0.990269 0.139168i \(-0.0444428\pi\)
\(578\) −16.4104 + 4.39715i −0.682582 + 0.182897i
\(579\) −3.63610 2.94196i −0.151111 0.122264i
\(580\) 19.9707 + 19.9707i 0.829238 + 0.829238i
\(581\) −10.7677 6.21674i −0.446720 0.257914i
\(582\) 1.14475 2.57402i 0.0474516 0.106697i
\(583\) −8.62625 + 32.1936i −0.357263 + 1.33332i
\(584\) 4.35577 0.180243
\(585\) −45.0272 3.01342i −1.86165 0.124590i
\(586\) 22.8489 0.943880
\(587\) 7.86521 29.3534i 0.324632 1.21154i −0.590050 0.807367i \(-0.700892\pi\)
0.914681 0.404176i \(-0.132442\pi\)
\(588\) 0.703834 1.58260i 0.0290256 0.0652653i
\(589\) −12.3794 7.14725i −0.510084 0.294497i
\(590\) 29.3304 + 29.3304i 1.20752 + 1.20752i
\(591\) −7.85828 6.35812i −0.323246 0.261538i
\(592\) 6.49360 1.73995i 0.266885 0.0715117i
\(593\) 1.17442 1.17442i 0.0482276 0.0482276i −0.682582 0.730809i \(-0.739143\pi\)
0.730809 + 0.682582i \(0.239143\pi\)
\(594\) −5.09191 + 24.1026i −0.208924 + 0.988942i
\(595\) 0.374223 0.216058i 0.0153416 0.00885750i
\(596\) 1.75740 + 0.470895i 0.0719860 + 0.0192886i
\(597\) 15.1115 10.9887i 0.618472 0.449738i
\(598\) −6.48935 25.7898i −0.265369 1.05462i
\(599\) 44.1349i 1.80330i −0.432463 0.901651i \(-0.642356\pi\)
0.432463 0.901651i \(-0.357644\pi\)
\(600\) −20.0578 + 7.70899i −0.818856 + 0.314718i
\(601\) 17.3512 + 30.0531i 0.707770 + 1.22589i 0.965683 + 0.259725i \(0.0836319\pi\)
−0.257913 + 0.966168i \(0.583035\pi\)
\(602\) 0.738312 1.27879i 0.0300913 0.0521197i
\(603\) −7.02177 13.7529i −0.285949 0.560060i
\(604\) 0.534133 + 1.99341i 0.0217336 + 0.0811108i
\(605\) −12.3924 46.2490i −0.503822 1.88029i
\(606\) −1.92752 + 12.2025i −0.0783000 + 0.495694i
\(607\) 12.3413 21.3757i 0.500917 0.867614i −0.499082 0.866555i \(-0.666329\pi\)
0.999999 0.00105972i \(-0.000337318\pi\)
\(608\) 0.903313 + 1.56458i 0.0366342 + 0.0634522i
\(609\) 4.20643 + 10.9446i 0.170453 + 0.443497i
\(610\) 33.7983i 1.36846i
\(611\) −3.72999 3.84585i −0.150899 0.155586i
\(612\) −0.295591 0.0957731i −0.0119486 0.00387140i
\(613\) 3.13456 + 0.839904i 0.126604 + 0.0339234i 0.321565 0.946888i \(-0.395791\pi\)
−0.194961 + 0.980811i \(0.562458\pi\)
\(614\) 4.55985 2.63263i 0.184021 0.106244i
\(615\) 1.78745 + 16.9390i 0.0720768 + 0.683046i
\(616\) 3.35234 3.35234i 0.135070 0.135070i
\(617\) −8.99503 + 2.41021i −0.362126 + 0.0970314i −0.435294 0.900288i \(-0.643356\pi\)
0.0731681 + 0.997320i \(0.476689\pi\)
\(618\) 15.0965 18.6584i 0.607271 0.750551i
\(619\) −11.5999 11.5999i −0.466238 0.466238i 0.434455 0.900693i \(-0.356941\pi\)
−0.900693 + 0.434455i \(0.856941\pi\)
\(620\) 28.5880 + 16.5053i 1.14812 + 0.662869i
\(621\) 28.5133 + 25.6095i 1.14420 + 1.02767i
\(622\) 1.25877 4.69779i 0.0504721 0.188364i
\(623\) 10.3578 0.414976
\(624\) −0.560303 6.21981i −0.0224301 0.248992i
\(625\) −66.8833 −2.67533
\(626\) 1.51636 5.65914i 0.0606061 0.226185i
\(627\) 13.5551 + 6.02840i 0.541338 + 0.240751i
\(628\) 8.73477 + 5.04302i 0.348555 + 0.201238i
\(629\) 0.492350 + 0.492350i 0.0196313 + 0.0196313i
\(630\) −12.4996 0.644706i −0.497997 0.0256857i
\(631\) −1.53963 + 0.412542i −0.0612916 + 0.0164230i −0.289335 0.957228i \(-0.593434\pi\)
0.228043 + 0.973651i \(0.426767\pi\)
\(632\) −0.768994 + 0.768994i −0.0305890 + 0.0305890i
\(633\) 25.3221 2.67205i 1.00646 0.106204i
\(634\) −20.5112 + 11.8421i −0.814602 + 0.470311i
\(635\) 11.0934 + 2.97248i 0.440230 + 0.117959i
\(636\) 7.16125 + 9.84804i 0.283962 + 0.390500i
\(637\) 1.75482 + 3.14970i 0.0695283 + 0.124796i
\(638\) 32.0937i 1.27060i
\(639\) −34.9992 22.6876i −1.38455 0.897507i
\(640\) −2.08604 3.61312i −0.0824579 0.142821i
\(641\) −6.04688 + 10.4735i −0.238837 + 0.413678i −0.960381 0.278691i \(-0.910100\pi\)
0.721544 + 0.692369i \(0.243433\pi\)
\(642\) −6.97408 1.10163i −0.275245 0.0434778i
\(643\) 2.84467 + 10.6164i 0.112183 + 0.418672i 0.999061 0.0433320i \(-0.0137973\pi\)
−0.886878 + 0.462004i \(0.847131\pi\)
\(644\) −1.90899 7.12445i −0.0752247 0.280743i
\(645\) −10.5398 1.66487i −0.415003 0.0655540i
\(646\) −0.0935590 + 0.162049i −0.00368103 + 0.00637573i
\(647\) 23.8019 + 41.2261i 0.935750 + 1.62077i 0.773291 + 0.634051i \(0.218609\pi\)
0.162459 + 0.986715i \(0.448057\pi\)
\(648\) 5.67545 + 6.98493i 0.222953 + 0.274394i
\(649\) 47.1351i 1.85022i
\(650\) 12.2367 43.0250i 0.479962 1.68758i
\(651\) 8.05986 + 11.0838i 0.315891 + 0.434408i
\(652\) −0.222679 0.0596666i −0.00872077 0.00233672i
\(653\) −30.5459 + 17.6357i −1.19535 + 0.690137i −0.959515 0.281656i \(-0.909116\pi\)
−0.235837 + 0.971793i \(0.575783\pi\)
\(654\) −4.50560 + 0.475442i −0.176183 + 0.0185913i
\(655\) −50.4922 + 50.4922i −1.97289 + 1.97289i
\(656\) −2.27679 + 0.610064i −0.0888937 + 0.0238190i
\(657\) 0.673092 13.0500i 0.0262598 0.509127i
\(658\) −1.05070 1.05070i −0.0409607 0.0409607i
\(659\) −32.4044 18.7087i −1.26229 0.728786i −0.288777 0.957396i \(-0.593249\pi\)
−0.973518 + 0.228610i \(0.926582\pi\)
\(660\) −31.3030 13.9215i −1.21847 0.541893i
\(661\) −4.89241 + 18.2587i −0.190293 + 0.710182i 0.803143 + 0.595787i \(0.203160\pi\)
−0.993435 + 0.114395i \(0.963507\pi\)
\(662\) 14.0114 0.544568
\(663\) 0.528882 0.372360i 0.0205401 0.0144613i
\(664\) −12.4335 −0.482513
\(665\) −1.95082 + 7.28055i −0.0756495 + 0.282328i
\(666\) −4.20948 19.7238i −0.163114 0.764282i
\(667\) 43.2408 + 24.9651i 1.67429 + 0.966653i
\(668\) −2.46820 2.46820i −0.0954977 0.0954977i
\(669\) −13.6925 + 16.9232i −0.529384 + 0.654288i
\(670\) 20.7429 5.55805i 0.801370 0.214726i
\(671\) 27.1576 27.1576i 1.04841 1.04841i
\(672\) −0.181761 1.72249i −0.00701159 0.0664464i
\(673\) −19.6321 + 11.3346i −0.756762 + 0.436916i −0.828132 0.560533i \(-0.810596\pi\)
0.0713703 + 0.997450i \(0.477263\pi\)
\(674\) −8.28291 2.21940i −0.319046 0.0854881i
\(675\) 19.9967 + 61.2847i 0.769675 + 2.35885i
\(676\) 11.0543 + 6.84124i 0.425165 + 0.263125i
\(677\) 1.65211i 0.0634957i 0.999496 + 0.0317478i \(0.0101073\pi\)
−0.999496 + 0.0317478i \(0.989893\pi\)
\(678\) 4.33754 + 11.2857i 0.166582 + 0.433425i
\(679\) 0.813227 + 1.40855i 0.0312088 + 0.0540552i
\(680\) 0.216058 0.374223i 0.00828543 0.0143508i
\(681\) 1.01699 6.43823i 0.0389710 0.246714i
\(682\) 9.70869 + 36.2333i 0.371765 + 1.38745i
\(683\) −5.29155 19.7483i −0.202475 0.755648i −0.990204 0.139626i \(-0.955410\pi\)
0.787729 0.616022i \(-0.211257\pi\)
\(684\) 4.82711 2.46457i 0.184569 0.0942351i
\(685\) 16.7191 28.9584i 0.638805 1.10644i
\(686\) 0.500000 + 0.866025i 0.0190901 + 0.0330650i
\(687\) 2.23790 0.860111i 0.0853812 0.0328153i
\(688\) 1.47662i 0.0562957i
\(689\) −25.3445 0.387609i −0.965547 0.0147667i
\(690\) −43.1070 + 31.3463i −1.64105 + 1.19333i
\(691\) −14.9359 4.00205i −0.568187 0.152245i −0.0367220 0.999326i \(-0.511692\pi\)
−0.531465 + 0.847080i \(0.678358\pi\)
\(692\) −20.4106 + 11.7841i −0.775894 + 0.447963i
\(693\) −9.52564 10.5617i −0.361849 0.401206i
\(694\) 9.25325 9.25325i 0.351249 0.351249i
\(695\) 88.6257 23.7472i 3.36176 0.900782i
\(696\) 9.11517 + 7.37507i 0.345509 + 0.279551i
\(697\) −0.172628 0.172628i −0.00653876 0.00653876i
\(698\) −25.4295 14.6817i −0.962520 0.555711i
\(699\) −0.0632154 + 0.142142i −0.00239103 + 0.00537632i
\(700\) 3.21097 11.9835i 0.121363 0.452933i
\(701\) −4.16688 −0.157381 −0.0786904 0.996899i \(-0.525074\pi\)
−0.0786904 + 0.996899i \(0.525074\pi\)
\(702\) −18.7212 + 0.717536i −0.706588 + 0.0270816i
\(703\) −12.1453 −0.458070
\(704\) 1.22704 4.57939i 0.0462459 0.172592i
\(705\) −4.36332 + 9.81111i −0.164332 + 0.369508i
\(706\) −14.4390 8.33636i −0.543419 0.313743i
\(707\) −5.04343 5.04343i −0.189678 0.189678i
\(708\) 13.3872 + 10.8316i 0.503122 + 0.407076i
\(709\) 21.7146 5.81842i 0.815510 0.218515i 0.173127 0.984899i \(-0.444613\pi\)
0.642382 + 0.766384i \(0.277946\pi\)
\(710\) 41.0157 41.0157i 1.53929 1.53929i
\(711\) 2.18509 + 2.42275i 0.0819472 + 0.0908603i
\(712\) 8.97011 5.17889i 0.336169 0.194087i
\(713\) 56.3705 + 15.1044i 2.11109 + 0.565666i
\(714\) 0.145089 0.105505i 0.00542983 0.00394843i
\(715\) 62.2996 34.7094i 2.32987 1.29806i
\(716\) 21.1464i 0.790276i
\(717\) −44.9028 + 17.2579i −1.67693 + 0.644508i
\(718\) 2.92054 + 5.05853i 0.108994 + 0.188783i
\(719\) 7.39375 12.8064i 0.275741 0.477597i −0.694581 0.719414i \(-0.744410\pi\)
0.970322 + 0.241818i \(0.0777436\pi\)
\(720\) −11.1473 + 5.69148i −0.415437 + 0.212109i
\(721\) 3.58643 + 13.3847i 0.133566 + 0.498474i
\(722\) 4.07280 + 15.1999i 0.151574 + 0.565682i
\(723\) 0.376823 2.38555i 0.0140142 0.0887197i
\(724\) −0.0241321 + 0.0417980i −0.000896863 + 0.00155341i
\(725\) 41.9919 + 72.7321i 1.55954 + 2.70120i
\(726\) −7.13122 18.5545i −0.264664 0.688622i
\(727\) 20.2185i 0.749863i −0.927053 0.374932i \(-0.877666\pi\)
0.927053 0.374932i \(-0.122334\pi\)
\(728\) 3.09457 + 1.85031i 0.114692 + 0.0685772i
\(729\) 21.8040 15.9244i 0.807555 0.589792i
\(730\) 17.5534 + 4.70341i 0.649680 + 0.174081i
\(731\) 0.132449 0.0764693i 0.00489879 0.00282832i
\(732\) −1.47246 13.9540i −0.0544238 0.515755i
\(733\) 16.2291 16.2291i 0.599436 0.599436i −0.340727 0.940162i \(-0.610673\pi\)
0.940162 + 0.340727i \(0.110673\pi\)
\(734\) −17.8239 + 4.77589i −0.657891 + 0.176281i
\(735\) 4.54530 5.61773i 0.167656 0.207213i
\(736\) −5.21546 5.21546i −0.192244 0.192244i
\(737\) 21.1333 + 12.2013i 0.778457 + 0.449442i
\(738\) 1.47593 + 6.91558i 0.0543298 + 0.254566i
\(739\) 4.48225 16.7280i 0.164882 0.615348i −0.833173 0.553012i \(-0.813478\pi\)
0.998055 0.0623361i \(-0.0198551\pi\)
\(740\) 28.0475 1.03105
\(741\) −1.93055 + 11.1160i −0.0709206 + 0.408356i
\(742\) −7.03011 −0.258083
\(743\) 3.73884 13.9536i 0.137165 0.511906i −0.862815 0.505520i \(-0.831301\pi\)
0.999980 0.00638596i \(-0.00203273\pi\)
\(744\) 12.5219 + 5.56892i 0.459077 + 0.204167i
\(745\) 6.57371 + 3.79533i 0.240842 + 0.139050i
\(746\) −16.4078 16.4078i −0.600733 0.600733i
\(747\) −1.92133 + 37.2510i −0.0702979 + 1.36294i
\(748\) 0.474302 0.127089i 0.0173422 0.00464682i
\(749\) 2.88246 2.88246i 0.105323 0.105323i
\(750\) −53.2237 + 5.61630i −1.94346 + 0.205078i
\(751\) −44.2861 + 25.5686i −1.61602 + 0.933012i −0.628089 + 0.778142i \(0.716162\pi\)
−0.987935 + 0.154870i \(0.950504\pi\)
\(752\) −1.43529 0.384584i −0.0523395 0.0140243i
\(753\) −20.9252 28.7760i −0.762555 1.04865i
\(754\) −23.6699 + 5.95593i −0.862007 + 0.216902i
\(755\) 8.61005i 0.313352i
\(756\) −5.18869 + 0.278386i −0.188711 + 0.0101248i
\(757\) −7.71798 13.3679i −0.280515 0.485866i 0.690997 0.722858i \(-0.257172\pi\)
−0.971512 + 0.236992i \(0.923838\pi\)
\(758\) −3.68275 + 6.37870i −0.133763 + 0.231685i
\(759\) −59.8246 9.44992i −2.17150 0.343010i
\(760\) 1.95082 + 7.28055i 0.0707636 + 0.264093i
\(761\) −5.49712 20.5155i −0.199270 0.743687i −0.991120 0.132971i \(-0.957548\pi\)
0.791849 0.610716i \(-0.209118\pi\)
\(762\) 4.70955 + 0.743922i 0.170609 + 0.0269495i
\(763\) 1.30788 2.26531i 0.0473483 0.0820097i
\(764\) 2.65607 + 4.60045i 0.0960933 + 0.166438i
\(765\) −1.08779 0.705141i −0.0393292 0.0254944i
\(766\) 4.15298i 0.150053i
\(767\) −34.7634 + 8.74732i −1.25523 + 0.315847i
\(768\) −1.01865 1.40084i −0.0367575 0.0505484i
\(769\) 49.4224 + 13.2427i 1.78222 + 0.477544i 0.990985 0.133970i \(-0.0427726\pi\)
0.791233 + 0.611514i \(0.209439\pi\)
\(770\) 17.1296 9.88976i 0.617307 0.356402i
\(771\) −43.4223 + 4.58204i −1.56382 + 0.165018i
\(772\) 1.90947 1.90947i 0.0687232 0.0687232i
\(773\) −44.3877 + 11.8936i −1.59651 + 0.427784i −0.943987 0.329982i \(-0.892957\pi\)
−0.652526 + 0.757766i \(0.726291\pi\)