Properties

Label 546.2.bu.a.71.8
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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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 71.8
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(-1.67570 + 0.438205i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.24412 - 1.24412i) q^{5} +(-1.50519 + 0.856977i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.61595 - 1.46860i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(-1.67570 + 0.438205i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.24412 - 1.24412i) q^{5} +(-1.50519 + 0.856977i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.61595 - 1.46860i) q^{9} +(-1.52373 - 0.879726i) q^{10} +(-0.417849 - 1.55943i) q^{11} +(-1.23210 + 1.21735i) q^{12} +(-3.43305 - 1.10191i) q^{13} +1.00000i q^{14} +(2.62995 + 1.53959i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-2.60304 - 4.50861i) q^{17} +(2.14671 - 2.09562i) q^{18} +(-1.82947 - 0.490206i) q^{19} +(-1.69950 - 0.455380i) q^{20} +(0.0104295 - 1.73202i) q^{21} +(-0.807222 - 1.39815i) q^{22} +(1.39076 - 2.40886i) q^{23} +(-0.875042 + 1.49476i) q^{24} -1.90433i q^{25} +(-3.60126 - 0.175822i) q^{26} +(-3.74000 + 3.60727i) q^{27} +(0.258819 + 0.965926i) q^{28} +(-5.73398 - 3.31051i) q^{29} +(2.93882 + 0.806451i) q^{30} +(1.89061 - 1.89061i) q^{31} +(0.258819 - 0.965926i) q^{32} +(1.38354 + 2.43004i) q^{33} +(-3.68126 - 3.68126i) q^{34} +(1.52373 - 0.879726i) q^{35} +(1.53118 - 2.57982i) q^{36} +(-0.216677 + 0.0580585i) q^{37} -1.89401 q^{38} +(6.23562 + 0.342086i) q^{39} -1.75945 q^{40} +(-0.320883 + 0.0859802i) q^{41} +(-0.438205 - 1.67570i) q^{42} +(-2.90801 + 1.67894i) q^{43} +(-1.14158 - 1.14158i) q^{44} +(-5.08168 - 1.42744i) q^{45} +(0.719909 - 2.68674i) q^{46} +(5.55062 - 5.55062i) q^{47} +(-0.458354 + 1.67030i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(-0.492877 - 1.83944i) q^{50} +(6.33762 + 6.41441i) q^{51} +(-3.52406 + 0.762244i) q^{52} +6.37059i q^{53} +(-2.67894 + 4.45234i) q^{54} +(-1.42027 + 2.45998i) q^{55} +(0.500000 + 0.866025i) q^{56} +(3.28046 + 0.0197536i) q^{57} +(-6.39542 - 1.71365i) q^{58} +(5.66744 + 1.51859i) q^{59} +(3.04740 + 0.0183502i) q^{60} +(3.51619 + 6.09022i) q^{61} +(1.33686 - 2.31551i) q^{62} +(0.741504 + 2.90692i) q^{63} -1.00000i q^{64} +(2.90022 + 5.64203i) q^{65} +(1.96534 + 1.98915i) q^{66} +(2.05784 + 7.67998i) q^{67} +(-4.50861 - 2.60304i) q^{68} +(-1.27492 + 4.64597i) q^{69} +(1.24412 - 1.24412i) q^{70} +(0.213413 - 0.796468i) q^{71} +(0.811298 - 2.88822i) q^{72} +(-4.64717 - 4.64717i) q^{73} +(-0.194268 + 0.112160i) q^{74} +(0.834488 + 3.19109i) q^{75} +(-1.82947 + 0.490206i) q^{76} +1.61444 q^{77} +(6.11169 - 1.28347i) q^{78} +14.0085 q^{79} +(-1.69950 + 0.455380i) q^{80} +(4.68641 - 7.68359i) q^{81} +(-0.287695 + 0.166101i) q^{82} +(0.280926 + 0.280926i) q^{83} +(-0.856977 - 1.50519i) q^{84} +(-2.37075 + 8.84775i) q^{85} +(-2.37438 + 2.37438i) q^{86} +(11.0591 + 3.03477i) q^{87} +(-1.39815 - 0.807222i) q^{88} +(-2.21212 - 8.25576i) q^{89} +(-5.27797 - 0.0635659i) q^{90} +(1.95290 - 3.03087i) q^{91} -2.78151i q^{92} +(-2.33962 + 3.99657i) q^{93} +(3.92488 - 6.79810i) q^{94} +(1.66621 + 2.88596i) q^{95} +(-0.0104295 + 1.73202i) q^{96} +(-1.03271 - 0.276713i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(-3.38326 - 3.46575i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 8 q^{6} + 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 8 q^{6} + 24 q^{9} + 24 q^{10} - 8 q^{11} + 24 q^{13} - 4 q^{15} + 28 q^{16} + 4 q^{17} + 8 q^{19} + 4 q^{21} + 8 q^{23} + 8 q^{24} + 4 q^{26} - 24 q^{27} - 16 q^{30} - 8 q^{31} - 32 q^{33} - 24 q^{34} - 24 q^{35} - 12 q^{36} - 8 q^{37} - 60 q^{39} + 28 q^{41} - 8 q^{44} - 40 q^{45} - 20 q^{46} - 64 q^{50} + 8 q^{54} + 8 q^{55} + 28 q^{56} + 40 q^{57} + 4 q^{58} + 8 q^{59} + 4 q^{60} + 8 q^{61} + 32 q^{62} + 24 q^{65} + 32 q^{66} - 56 q^{69} + 112 q^{71} + 16 q^{72} + 8 q^{73} - 48 q^{74} - 40 q^{75} + 8 q^{76} - 8 q^{78} + 16 q^{79} + 12 q^{81} + 4 q^{83} - 4 q^{84} + 32 q^{85} + 16 q^{86} + 144 q^{87} - 88 q^{89} + 8 q^{90} - 8 q^{91} - 76 q^{93} - 8 q^{94} + 48 q^{95} - 4 q^{96} - 64 q^{97} - 40 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) −1.67570 + 0.438205i −0.967467 + 0.252998i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −1.24412 1.24412i −0.556387 0.556387i 0.371890 0.928277i \(-0.378710\pi\)
−0.928277 + 0.371890i \(0.878710\pi\)
\(6\) −1.50519 + 0.856977i −0.614490 + 0.349860i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.61595 1.46860i 0.871984 0.489534i
\(10\) −1.52373 0.879726i −0.481846 0.278194i
\(11\) −0.417849 1.55943i −0.125986 0.470187i 0.873887 0.486130i \(-0.161592\pi\)
−0.999873 + 0.0159428i \(0.994925\pi\)
\(12\) −1.23210 + 1.21735i −0.355676 + 0.351418i
\(13\) −3.43305 1.10191i −0.952156 0.305614i
\(14\) 1.00000i 0.267261i
\(15\) 2.62995 + 1.53959i 0.679051 + 0.397521i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −2.60304 4.50861i −0.631331 1.09350i −0.987280 0.158992i \(-0.949176\pi\)
0.355949 0.934505i \(-0.384158\pi\)
\(18\) 2.14671 2.09562i 0.505985 0.493942i
\(19\) −1.82947 0.490206i −0.419710 0.112461i 0.0427818 0.999084i \(-0.486378\pi\)
−0.462492 + 0.886623i \(0.653045\pi\)
\(20\) −1.69950 0.455380i −0.380020 0.101826i
\(21\) 0.0104295 1.73202i 0.00227591 0.377958i
\(22\) −0.807222 1.39815i −0.172100 0.298086i
\(23\) 1.39076 2.40886i 0.289993 0.502282i −0.683815 0.729656i \(-0.739680\pi\)
0.973808 + 0.227373i \(0.0730137\pi\)
\(24\) −0.875042 + 1.49476i −0.178617 + 0.305116i
\(25\) 1.90433i 0.380866i
\(26\) −3.60126 0.175822i −0.706266 0.0344815i
\(27\) −3.74000 + 3.60727i −0.719764 + 0.694219i
\(28\) 0.258819 + 0.965926i 0.0489122 + 0.182543i
\(29\) −5.73398 3.31051i −1.06477 0.614747i −0.138024 0.990429i \(-0.544075\pi\)
−0.926749 + 0.375682i \(0.877409\pi\)
\(30\) 2.93882 + 0.806451i 0.536552 + 0.147237i
\(31\) 1.89061 1.89061i 0.339563 0.339563i −0.516640 0.856203i \(-0.672817\pi\)
0.856203 + 0.516640i \(0.172817\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) 1.38354 + 2.43004i 0.240844 + 0.423016i
\(34\) −3.68126 3.68126i −0.631331 0.631331i
\(35\) 1.52373 0.879726i 0.257557 0.148701i
\(36\) 1.53118 2.57982i 0.255197 0.429971i
\(37\) −0.216677 + 0.0580585i −0.0356215 + 0.00954477i −0.276586 0.960989i \(-0.589203\pi\)
0.240964 + 0.970534i \(0.422536\pi\)
\(38\) −1.89401 −0.307249
\(39\) 6.23562 + 0.342086i 0.998499 + 0.0547776i
\(40\) −1.75945 −0.278194
\(41\) −0.320883 + 0.0859802i −0.0501134 + 0.0134279i −0.283789 0.958887i \(-0.591591\pi\)
0.233675 + 0.972315i \(0.424925\pi\)
\(42\) −0.438205 1.67570i −0.0676166 0.258566i
\(43\) −2.90801 + 1.67894i −0.443468 + 0.256036i −0.705068 0.709140i \(-0.749083\pi\)
0.261600 + 0.965176i \(0.415750\pi\)
\(44\) −1.14158 1.14158i −0.172100 0.172100i
\(45\) −5.08168 1.42744i −0.757532 0.212790i
\(46\) 0.719909 2.68674i 0.106145 0.396138i
\(47\) 5.55062 5.55062i 0.809641 0.809641i −0.174938 0.984579i \(-0.555972\pi\)
0.984579 + 0.174938i \(0.0559725\pi\)
\(48\) −0.458354 + 1.67030i −0.0661577 + 0.241087i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) −0.492877 1.83944i −0.0697033 0.260136i
\(51\) 6.33762 + 6.41441i 0.887445 + 0.898197i
\(52\) −3.52406 + 0.762244i −0.488699 + 0.105704i
\(53\) 6.37059i 0.875068i 0.899202 + 0.437534i \(0.144148\pi\)
−0.899202 + 0.437534i \(0.855852\pi\)
\(54\) −2.67894 + 4.45234i −0.364557 + 0.605886i
\(55\) −1.42027 + 2.45998i −0.191509 + 0.331703i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) 3.28046 + 0.0197536i 0.434508 + 0.00261643i
\(58\) −6.39542 1.71365i −0.839760 0.225013i
\(59\) 5.66744 + 1.51859i 0.737838 + 0.197703i 0.608117 0.793847i \(-0.291925\pi\)
0.129721 + 0.991551i \(0.458592\pi\)
\(60\) 3.04740 + 0.0183502i 0.393418 + 0.00236901i
\(61\) 3.51619 + 6.09022i 0.450202 + 0.779773i 0.998398 0.0565769i \(-0.0180186\pi\)
−0.548196 + 0.836350i \(0.684685\pi\)
\(62\) 1.33686 2.31551i 0.169782 0.294070i
\(63\) 0.741504 + 2.90692i 0.0934207 + 0.366237i
\(64\) 1.00000i 0.125000i
\(65\) 2.90022 + 5.64203i 0.359728 + 0.699807i
\(66\) 1.96534 + 1.98915i 0.241917 + 0.244848i
\(67\) 2.05784 + 7.67998i 0.251406 + 0.938259i 0.970055 + 0.242886i \(0.0780941\pi\)
−0.718649 + 0.695373i \(0.755239\pi\)
\(68\) −4.50861 2.60304i −0.546749 0.315666i
\(69\) −1.27492 + 4.64597i −0.153482 + 0.559309i
\(70\) 1.24412 1.24412i 0.148701 0.148701i
\(71\) 0.213413 0.796468i 0.0253275 0.0945233i −0.952105 0.305771i \(-0.901086\pi\)
0.977433 + 0.211247i \(0.0677526\pi\)
\(72\) 0.811298 2.88822i 0.0956124 0.340380i
\(73\) −4.64717 4.64717i −0.543910 0.543910i 0.380763 0.924673i \(-0.375661\pi\)
−0.924673 + 0.380763i \(0.875661\pi\)
\(74\) −0.194268 + 0.112160i −0.0225832 + 0.0130384i
\(75\) 0.834488 + 3.19109i 0.0963583 + 0.368475i
\(76\) −1.82947 + 0.490206i −0.209855 + 0.0562305i
\(77\) 1.61444 0.183983
\(78\) 6.11169 1.28347i 0.692012 0.145324i
\(79\) 14.0085 1.57608 0.788041 0.615622i \(-0.211095\pi\)
0.788041 + 0.615622i \(0.211095\pi\)
\(80\) −1.69950 + 0.455380i −0.190010 + 0.0509130i
\(81\) 4.68641 7.68359i 0.520712 0.853732i
\(82\) −0.287695 + 0.166101i −0.0317706 + 0.0183428i
\(83\) 0.280926 + 0.280926i 0.0308356 + 0.0308356i 0.722356 0.691521i \(-0.243059\pi\)
−0.691521 + 0.722356i \(0.743059\pi\)
\(84\) −0.856977 1.50519i −0.0935039 0.164229i
\(85\) −2.37075 + 8.84775i −0.257144 + 0.959673i
\(86\) −2.37438 + 2.37438i −0.256036 + 0.256036i
\(87\) 11.0591 + 3.03477i 1.18566 + 0.325362i
\(88\) −1.39815 0.807222i −0.149043 0.0860501i
\(89\) −2.21212 8.25576i −0.234485 0.875108i −0.978380 0.206813i \(-0.933691\pi\)
0.743896 0.668296i \(-0.232976\pi\)
\(90\) −5.27797 0.0635659i −0.556347 0.00670044i
\(91\) 1.95290 3.03087i 0.204719 0.317722i
\(92\) 2.78151i 0.289993i
\(93\) −2.33962 + 3.99657i −0.242607 + 0.414425i
\(94\) 3.92488 6.79810i 0.404821 0.701170i
\(95\) 1.66621 + 2.88596i 0.170950 + 0.296093i
\(96\) −0.0104295 + 1.73202i −0.00106446 + 0.176773i
\(97\) −1.03271 0.276713i −0.104856 0.0280960i 0.206010 0.978550i \(-0.433952\pi\)
−0.310865 + 0.950454i \(0.600619\pi\)
\(98\) −0.965926 0.258819i −0.0975732 0.0261447i
\(99\) −3.38326 3.46575i −0.340030 0.348321i
\(100\) −0.952165 1.64920i −0.0952165 0.164920i
\(101\) −3.18364 + 5.51423i −0.316784 + 0.548686i −0.979815 0.199906i \(-0.935936\pi\)
0.663031 + 0.748592i \(0.269270\pi\)
\(102\) 7.78184 + 4.55555i 0.770517 + 0.451066i
\(103\) 14.4073i 1.41959i 0.704409 + 0.709794i \(0.251212\pi\)
−0.704409 + 0.709794i \(0.748788\pi\)
\(104\) −3.20670 + 1.64836i −0.314442 + 0.161635i
\(105\) −2.16782 + 2.14186i −0.211557 + 0.209025i
\(106\) 1.64883 + 6.15352i 0.160149 + 0.597683i
\(107\) −7.79011 4.49762i −0.753098 0.434801i 0.0737142 0.997279i \(-0.476515\pi\)
−0.826812 + 0.562478i \(0.809848\pi\)
\(108\) −1.43531 + 4.99399i −0.138112 + 0.480547i
\(109\) 11.5728 11.5728i 1.10847 1.10847i 0.115120 0.993352i \(-0.463275\pi\)
0.993352 0.115120i \(-0.0367252\pi\)
\(110\) −0.735185 + 2.74375i −0.0700971 + 0.261606i
\(111\) 0.337645 0.192238i 0.0320479 0.0182464i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) −17.5944 + 10.1582i −1.65515 + 0.955599i −0.680238 + 0.732992i \(0.738123\pi\)
−0.974908 + 0.222607i \(0.928543\pi\)
\(114\) 3.17380 0.829966i 0.297253 0.0777335i
\(115\) −4.72718 + 1.26664i −0.440812 + 0.118115i
\(116\) −6.62103 −0.614747
\(117\) −10.5989 + 2.15925i −0.979873 + 0.199623i
\(118\) 5.86737 0.540135
\(119\) 5.02870 1.34744i 0.460980 0.123519i
\(120\) 2.94832 0.771001i 0.269143 0.0703825i
\(121\) 7.26905 4.19679i 0.660822 0.381526i
\(122\) 4.97264 + 4.97264i 0.450202 + 0.450202i
\(123\) 0.500026 0.284690i 0.0450859 0.0256696i
\(124\) 0.692011 2.58262i 0.0621444 0.231926i
\(125\) −8.58982 + 8.58982i −0.768297 + 0.768297i
\(126\) 1.46860 + 2.61595i 0.130834 + 0.233048i
\(127\) 0.140223 + 0.0809577i 0.0124428 + 0.00718384i 0.506208 0.862411i \(-0.331047\pi\)
−0.493766 + 0.869595i \(0.664380\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) 4.13724 4.08771i 0.364264 0.359903i
\(130\) 4.26166 + 4.69915i 0.373772 + 0.412142i
\(131\) 3.95900i 0.345900i 0.984931 + 0.172950i \(0.0553298\pi\)
−0.984931 + 0.172950i \(0.944670\pi\)
\(132\) 2.41320 + 1.41271i 0.210042 + 0.122960i
\(133\) 0.947006 1.64026i 0.0821158 0.142229i
\(134\) 3.97545 + 6.88568i 0.343427 + 0.594832i
\(135\) 9.14089 + 0.165144i 0.786722 + 0.0142133i
\(136\) −5.02870 1.34744i −0.431207 0.115542i
\(137\) 6.31406 + 1.69185i 0.539446 + 0.144544i 0.518247 0.855231i \(-0.326585\pi\)
0.0211995 + 0.999775i \(0.493251\pi\)
\(138\) −0.0290099 + 4.81764i −0.00246948 + 0.410104i
\(139\) 6.89758 + 11.9470i 0.585045 + 1.01333i 0.994870 + 0.101163i \(0.0322564\pi\)
−0.409825 + 0.912164i \(0.634410\pi\)
\(140\) 0.879726 1.52373i 0.0743504 0.128779i
\(141\) −6.86887 + 11.7335i −0.578464 + 0.988139i
\(142\) 0.824564i 0.0691959i
\(143\) −0.283854 + 5.81403i −0.0237371 + 0.486194i
\(144\) 0.0361283 2.99978i 0.00301069 0.249982i
\(145\) 3.01508 + 11.2524i 0.250389 + 0.934464i
\(146\) −5.69159 3.28604i −0.471040 0.271955i
\(147\) 1.67030 + 0.458354i 0.137764 + 0.0378044i
\(148\) −0.158619 + 0.158619i −0.0130384 + 0.0130384i
\(149\) 2.66242 9.93630i 0.218114 0.814014i −0.766933 0.641728i \(-0.778218\pi\)
0.985047 0.172286i \(-0.0551154\pi\)
\(150\) 1.63197 + 2.86637i 0.133250 + 0.234038i
\(151\) −8.97284 8.97284i −0.730199 0.730199i 0.240460 0.970659i \(-0.422702\pi\)
−0.970659 + 0.240460i \(0.922702\pi\)
\(152\) −1.64026 + 0.947006i −0.133043 + 0.0768123i
\(153\) −13.4308 7.97146i −1.08582 0.644454i
\(154\) 1.55943 0.417849i 0.125663 0.0336712i
\(155\) −4.70429 −0.377858
\(156\) 5.57125 2.82156i 0.446057 0.225905i
\(157\) 24.6070 1.96385 0.981926 0.189266i \(-0.0606107\pi\)
0.981926 + 0.189266i \(0.0606107\pi\)
\(158\) 13.5312 3.62567i 1.07648 0.288443i
\(159\) −2.79163 10.6752i −0.221391 0.846599i
\(160\) −1.52373 + 0.879726i −0.120461 + 0.0695484i
\(161\) 1.96683 + 1.96683i 0.155008 + 0.155008i
\(162\) 2.53806 8.63471i 0.199409 0.678407i
\(163\) 4.67249 17.4380i 0.365978 1.36585i −0.500113 0.865960i \(-0.666708\pi\)
0.866091 0.499887i \(-0.166625\pi\)
\(164\) −0.234902 + 0.234902i −0.0183428 + 0.0183428i
\(165\) 1.30197 4.74456i 0.101358 0.369363i
\(166\) 0.344063 + 0.198645i 0.0267044 + 0.0154178i
\(167\) −2.82021 10.5252i −0.218235 0.814462i −0.985003 0.172538i \(-0.944803\pi\)
0.766768 0.641924i \(-0.221864\pi\)
\(168\) −1.21735 1.23210i −0.0939204 0.0950584i
\(169\) 10.5716 + 7.56579i 0.813200 + 0.581984i
\(170\) 9.15986i 0.702529i
\(171\) −5.50574 + 1.40442i −0.421034 + 0.107398i
\(172\) −1.67894 + 2.90801i −0.128018 + 0.221734i
\(173\) −11.6732 20.2185i −0.887494 1.53718i −0.842828 0.538182i \(-0.819111\pi\)
−0.0446655 0.999002i \(-0.514222\pi\)
\(174\) 11.4677 + 0.0690542i 0.869368 + 0.00523498i
\(175\) 1.83944 + 0.492877i 0.139049 + 0.0372580i
\(176\) −1.55943 0.417849i −0.117547 0.0314965i
\(177\) −10.1624 0.0611938i −0.763852 0.00459961i
\(178\) −4.27349 7.40191i −0.320312 0.554797i
\(179\) −4.07847 + 7.06412i −0.304839 + 0.527997i −0.977225 0.212204i \(-0.931936\pi\)
0.672386 + 0.740200i \(0.265269\pi\)
\(180\) −5.11458 + 1.30464i −0.381218 + 0.0972421i
\(181\) 17.4134i 1.29433i −0.762351 0.647164i \(-0.775955\pi\)
0.762351 0.647164i \(-0.224045\pi\)
\(182\) 1.10191 3.43305i 0.0816787 0.254474i
\(183\) −8.56085 8.66458i −0.632837 0.640504i
\(184\) −0.719909 2.68674i −0.0530724 0.198069i
\(185\) 0.341805 + 0.197341i 0.0251300 + 0.0145088i
\(186\) −1.22551 + 4.46593i −0.0898589 + 0.327458i
\(187\) −5.94319 + 5.94319i −0.434609 + 0.434609i
\(188\) 2.03167 7.58229i 0.148175 0.552995i
\(189\) −2.51637 4.54620i −0.183039 0.330687i
\(190\) 2.35638 + 2.35638i 0.170950 + 0.170950i
\(191\) 15.9945 9.23445i 1.15732 0.668181i 0.206663 0.978412i \(-0.433740\pi\)
0.950661 + 0.310231i \(0.100406\pi\)
\(192\) 0.438205 + 1.67570i 0.0316248 + 0.120933i
\(193\) −24.6743 + 6.61147i −1.77610 + 0.475904i −0.989863 0.142023i \(-0.954639\pi\)
−0.786235 + 0.617927i \(0.787973\pi\)
\(194\) −1.06914 −0.0767596
\(195\) −7.33227 8.18346i −0.525075 0.586030i
\(196\) −1.00000 −0.0714286
\(197\) −15.8323 + 4.24225i −1.12800 + 0.302248i −0.774119 0.633041i \(-0.781807\pi\)
−0.353886 + 0.935289i \(0.615140\pi\)
\(198\) −4.16498 2.47200i −0.295992 0.175678i
\(199\) 23.3583 13.4859i 1.65583 0.955992i 0.681217 0.732081i \(-0.261451\pi\)
0.974610 0.223911i \(-0.0718825\pi\)
\(200\) −1.34656 1.34656i −0.0952165 0.0952165i
\(201\) −6.81374 11.9676i −0.480604 0.844129i
\(202\) −1.64797 + 6.15032i −0.115951 + 0.432735i
\(203\) 4.68177 4.68177i 0.328596 0.328596i
\(204\) 8.69575 + 2.38623i 0.608824 + 0.167070i
\(205\) 0.506186 + 0.292247i 0.0353536 + 0.0204114i
\(206\) 3.72887 + 13.9163i 0.259803 + 0.969597i
\(207\) 0.100491 8.34394i 0.00698463 0.579944i
\(208\) −2.67080 + 2.42215i −0.185187 + 0.167946i
\(209\) 3.05778i 0.211511i
\(210\) −1.53959 + 2.62995i −0.106242 + 0.181484i
\(211\) −5.67857 + 9.83557i −0.390929 + 0.677108i −0.992572 0.121656i \(-0.961179\pi\)
0.601644 + 0.798765i \(0.294513\pi\)
\(212\) 3.18530 + 5.51710i 0.218767 + 0.378916i
\(213\) −0.00859981 + 1.42816i −0.000589249 + 0.0978560i
\(214\) −8.68873 2.32814i −0.593950 0.159148i
\(215\) 5.70672 + 1.52911i 0.389195 + 0.104285i
\(216\) −0.0938612 + 5.19530i −0.00638644 + 0.353496i
\(217\) 1.33686 + 2.31551i 0.0907521 + 0.157187i
\(218\) 8.18319 14.1737i 0.554236 0.959964i
\(219\) 9.82368 + 5.75085i 0.663823 + 0.388606i
\(220\) 2.84054i 0.191509i
\(221\) 3.96831 + 18.3466i 0.266938 + 1.23412i
\(222\) 0.276385 0.273077i 0.0185498 0.0183277i
\(223\) 2.14598 + 8.00891i 0.143706 + 0.536317i 0.999810 + 0.0195130i \(0.00621158\pi\)
−0.856104 + 0.516804i \(0.827122\pi\)
\(224\) 0.866025 + 0.500000i 0.0578638 + 0.0334077i
\(225\) −2.79670 4.98163i −0.186447 0.332109i
\(226\) −14.3658 + 14.3658i −0.955599 + 0.955599i
\(227\) 5.08068 18.9614i 0.337216 1.25851i −0.564230 0.825618i \(-0.690827\pi\)
0.901446 0.432891i \(-0.142507\pi\)
\(228\) 2.85084 1.62313i 0.188802 0.107494i
\(229\) −6.39099 6.39099i −0.422328 0.422328i 0.463676 0.886005i \(-0.346530\pi\)
−0.886005 + 0.463676i \(0.846530\pi\)
\(230\) −4.23828 + 2.44697i −0.279464 + 0.161348i
\(231\) −2.70533 + 0.707458i −0.177997 + 0.0465473i
\(232\) −6.39542 + 1.71365i −0.419880 + 0.112507i
\(233\) 18.2030 1.19252 0.596259 0.802792i \(-0.296653\pi\)
0.596259 + 0.802792i \(0.296653\pi\)
\(234\) −9.67894 + 4.82888i −0.632732 + 0.315674i
\(235\) −13.8113 −0.900949
\(236\) 5.66744 1.51859i 0.368919 0.0988515i
\(237\) −23.4741 + 6.13861i −1.52481 + 0.398746i
\(238\) 4.50861 2.60304i 0.292250 0.168730i
\(239\) −4.35347 4.35347i −0.281603 0.281603i 0.552145 0.833748i \(-0.313809\pi\)
−0.833748 + 0.552145i \(0.813809\pi\)
\(240\) 2.64830 1.50781i 0.170947 0.0973287i
\(241\) 2.72498 10.1698i 0.175531 0.655091i −0.820929 0.571030i \(-0.806544\pi\)
0.996461 0.0840616i \(-0.0267893\pi\)
\(242\) 5.93515 5.93515i 0.381526 0.381526i
\(243\) −4.48603 + 14.9290i −0.287779 + 0.957697i
\(244\) 6.09022 + 3.51619i 0.389886 + 0.225101i
\(245\) 0.455380 + 1.69950i 0.0290931 + 0.108577i
\(246\) 0.409305 0.404405i 0.0260964 0.0257840i
\(247\) 5.74051 + 3.69881i 0.365260 + 0.235350i
\(248\) 2.67372i 0.169782i
\(249\) −0.593852 0.347645i −0.0376338 0.0220311i
\(250\) −6.07392 + 10.5203i −0.384148 + 0.665364i
\(251\) 1.20372 + 2.08490i 0.0759778 + 0.131597i 0.901511 0.432756i \(-0.142459\pi\)
−0.825533 + 0.564353i \(0.809126\pi\)
\(252\) 2.09562 + 2.14671i 0.132012 + 0.135230i
\(253\) −4.33759 1.16225i −0.272702 0.0730702i
\(254\) 0.156398 + 0.0419068i 0.00981331 + 0.00262947i
\(255\) 0.0955330 15.8651i 0.00598251 0.993509i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 7.74931 13.4222i 0.483389 0.837254i −0.516429 0.856330i \(-0.672739\pi\)
0.999818 + 0.0190759i \(0.00607241\pi\)
\(258\) 2.93829 5.01922i 0.182930 0.312483i
\(259\) 0.224321i 0.0139386i
\(260\) 5.33268 + 3.43603i 0.330718 + 0.213093i
\(261\) −19.8616 0.239206i −1.22940 0.0148065i
\(262\) 1.02466 + 3.82410i 0.0633040 + 0.236254i
\(263\) 1.60081 + 0.924229i 0.0987103 + 0.0569904i 0.548542 0.836123i \(-0.315183\pi\)
−0.449832 + 0.893113i \(0.648516\pi\)
\(264\) 2.69661 + 0.739986i 0.165965 + 0.0455430i
\(265\) 7.92578 7.92578i 0.486877 0.486877i
\(266\) 0.490206 1.82947i 0.0300565 0.112172i
\(267\) 7.32458 + 12.8648i 0.448257 + 0.787314i
\(268\) 5.62214 + 5.62214i 0.343427 + 0.343427i
\(269\) −17.2653 + 9.96813i −1.05268 + 0.607767i −0.923400 0.383840i \(-0.874601\pi\)
−0.129285 + 0.991608i \(0.541268\pi\)
\(270\) 8.87216 2.20632i 0.539943 0.134272i
\(271\) −22.3077 + 5.97732i −1.35509 + 0.363096i −0.862012 0.506887i \(-0.830796\pi\)
−0.493081 + 0.869983i \(0.664129\pi\)
\(272\) −5.20609 −0.315666
\(273\) −1.94433 + 5.93461i −0.117676 + 0.359179i
\(274\) 6.53680 0.394902
\(275\) −2.96967 + 0.795722i −0.179078 + 0.0479838i
\(276\) 1.21887 + 4.66099i 0.0733676 + 0.280559i
\(277\) −3.53780 + 2.04255i −0.212566 + 0.122725i −0.602503 0.798116i \(-0.705830\pi\)
0.389937 + 0.920841i \(0.372497\pi\)
\(278\) 9.75465 + 9.75465i 0.585045 + 0.585045i
\(279\) 2.16919 7.72229i 0.129866 0.462322i
\(280\) 0.455380 1.69950i 0.0272141 0.101565i
\(281\) −14.6432 + 14.6432i −0.873542 + 0.873542i −0.992857 0.119315i \(-0.961930\pi\)
0.119315 + 0.992857i \(0.461930\pi\)
\(282\) −3.59797 + 13.1115i −0.214256 + 0.780778i
\(283\) 11.3739 + 6.56673i 0.676109 + 0.390352i 0.798387 0.602144i \(-0.205687\pi\)
−0.122279 + 0.992496i \(0.539020\pi\)
\(284\) −0.213413 0.796468i −0.0126637 0.0472617i
\(285\) −4.05672 4.10587i −0.240299 0.243211i
\(286\) 1.23060 + 5.68939i 0.0727669 + 0.336421i
\(287\) 0.332202i 0.0196093i
\(288\) −0.741504 2.90692i −0.0436935 0.171292i
\(289\) −5.05169 + 8.74978i −0.297158 + 0.514693i
\(290\) 5.82469 + 10.0887i 0.342038 + 0.592426i
\(291\) 1.85177 + 0.0111506i 0.108552 + 0.000653659i
\(292\) −6.34815 1.70098i −0.371497 0.0995424i
\(293\) 14.3768 + 3.85226i 0.839903 + 0.225051i 0.653029 0.757333i \(-0.273498\pi\)
0.186873 + 0.982384i \(0.440165\pi\)
\(294\) 1.73202 + 0.0104295i 0.101013 + 0.000608262i
\(295\) −5.16167 8.94028i −0.300524 0.520523i
\(296\) −0.112160 + 0.194268i −0.00651920 + 0.0112916i
\(297\) 7.18805 + 4.32500i 0.417093 + 0.250962i
\(298\) 10.2868i 0.595899i
\(299\) −7.42887 + 6.73725i −0.429623 + 0.389625i
\(300\) 2.31823 + 2.34632i 0.133843 + 0.135465i
\(301\) −0.869084 3.24347i −0.0500932 0.186950i
\(302\) −10.9894 6.34476i −0.632371 0.365100i
\(303\) 2.91847 10.6353i 0.167662 0.610981i
\(304\) −1.33927 + 1.33927i −0.0768123 + 0.0768123i
\(305\) 3.20240 11.9515i 0.183369 0.684343i
\(306\) −15.0363 4.22369i −0.859569 0.241452i
\(307\) 2.17205 + 2.17205i 0.123966 + 0.123966i 0.766368 0.642402i \(-0.222062\pi\)
−0.642402 + 0.766368i \(0.722062\pi\)
\(308\) 1.39815 0.807222i 0.0796670 0.0459957i
\(309\) −6.31334 24.1423i −0.359153 1.37341i
\(310\) −4.54399 + 1.21756i −0.258082 + 0.0691527i
\(311\) 18.9206 1.07289 0.536443 0.843936i \(-0.319767\pi\)
0.536443 + 0.843936i \(0.319767\pi\)
\(312\) 4.65114 4.16736i 0.263319 0.235930i
\(313\) −11.5423 −0.652409 −0.326204 0.945299i \(-0.605770\pi\)
−0.326204 + 0.945299i \(0.605770\pi\)
\(314\) 23.7685 6.36876i 1.34134 0.359410i
\(315\) 2.69404 4.53908i 0.151792 0.255748i
\(316\) 12.1317 7.00426i 0.682464 0.394021i
\(317\) −8.14809 8.14809i −0.457642 0.457642i 0.440239 0.897881i \(-0.354894\pi\)
−0.897881 + 0.440239i \(0.854894\pi\)
\(318\) −5.45945 9.58894i −0.306151 0.537721i
\(319\) −2.76659 + 10.3250i −0.154899 + 0.578092i
\(320\) −1.24412 + 1.24412i −0.0695484 + 0.0695484i
\(321\) 15.0248 + 4.12300i 0.838601 + 0.230124i
\(322\) 2.40886 + 1.39076i 0.134241 + 0.0775039i
\(323\) 2.55206 + 9.52441i 0.142000 + 0.529952i
\(324\) 0.216754 8.99739i 0.0120419 0.499855i
\(325\) −2.09839 + 6.53765i −0.116398 + 0.362644i
\(326\) 18.0531i 0.999870i
\(327\) −14.3213 + 24.4638i −0.791968 + 1.35285i
\(328\) −0.166101 + 0.287695i −0.00917139 + 0.0158853i
\(329\) 3.92488 + 6.79810i 0.216386 + 0.374791i
\(330\) 0.0296254 4.91986i 0.00163083 0.270830i
\(331\) −12.0574 3.23077i −0.662735 0.177579i −0.0882551 0.996098i \(-0.528129\pi\)
−0.574480 + 0.818519i \(0.694796\pi\)
\(332\) 0.383752 + 0.102826i 0.0210611 + 0.00564331i
\(333\) −0.481553 + 0.470092i −0.0263889 + 0.0257609i
\(334\) −5.44823 9.43661i −0.298114 0.516348i
\(335\) 6.99461 12.1150i 0.382156 0.661914i
\(336\) −1.49476 0.875042i −0.0815457 0.0477375i
\(337\) 2.21834i 0.120841i 0.998173 + 0.0604205i \(0.0192442\pi\)
−0.998173 + 0.0604205i \(0.980756\pi\)
\(338\) 12.1696 + 4.57186i 0.661937 + 0.248676i
\(339\) 25.0317 24.7320i 1.35953 1.34326i
\(340\) 2.37075 + 8.84775i 0.128572 + 0.479837i
\(341\) −3.73827 2.15829i −0.202438 0.116878i
\(342\) −4.95464 + 2.78155i −0.267916 + 0.150409i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) −0.869084 + 3.24347i −0.0468579 + 0.174876i
\(345\) 7.36630 4.19400i 0.396588 0.225797i
\(346\) −16.5083 16.5083i −0.887494 0.887494i
\(347\) −18.7796 + 10.8424i −1.00814 + 0.582051i −0.910647 0.413185i \(-0.864416\pi\)
−0.0974953 + 0.995236i \(0.531083\pi\)
\(348\) 11.0949 2.90137i 0.594747 0.155530i
\(349\) 15.0581 4.03481i 0.806042 0.215978i 0.167807 0.985820i \(-0.446332\pi\)
0.638235 + 0.769842i \(0.279665\pi\)
\(350\) 1.90433 0.101791
\(351\) 16.8145 8.26277i 0.897490 0.441034i
\(352\) −1.61444 −0.0860501
\(353\) 6.73165 1.80374i 0.358290 0.0960034i −0.0751840 0.997170i \(-0.523954\pi\)
0.433474 + 0.901166i \(0.357288\pi\)
\(354\) −9.83196 + 2.57111i −0.522563 + 0.136653i
\(355\) −1.25641 + 0.725390i −0.0666835 + 0.0384997i
\(356\) −6.04363 6.04363i −0.320312 0.320312i
\(357\) −7.83614 + 4.46150i −0.414733 + 0.236128i
\(358\) −2.11117 + 7.87900i −0.111579 + 0.416418i
\(359\) 11.9714 11.9714i 0.631828 0.631828i −0.316698 0.948526i \(-0.602574\pi\)
0.948526 + 0.316698i \(0.102574\pi\)
\(360\) −4.60264 + 2.58394i −0.242580 + 0.136185i
\(361\) −13.3478 7.70636i −0.702516 0.405598i
\(362\) −4.50692 16.8201i −0.236878 0.884042i
\(363\) −10.3417 + 10.2179i −0.542798 + 0.536300i
\(364\) 0.175822 3.60126i 0.00921557 0.188757i
\(365\) 11.5633i 0.605249i
\(366\) −10.5117 6.15363i −0.549456 0.321655i
\(367\) −13.9866 + 24.2255i −0.730096 + 1.26456i 0.226746 + 0.973954i \(0.427191\pi\)
−0.956842 + 0.290609i \(0.906142\pi\)
\(368\) −1.39076 2.40886i −0.0724982 0.125571i
\(369\) −0.713142 + 0.696169i −0.0371247 + 0.0362411i
\(370\) 0.381233 + 0.102151i 0.0198194 + 0.00531059i
\(371\) −6.15352 1.64883i −0.319475 0.0856030i
\(372\) −0.0278857 + 4.63094i −0.00144580 + 0.240103i
\(373\) −13.4947 23.3735i −0.698727 1.21023i −0.968908 0.247422i \(-0.920417\pi\)
0.270180 0.962810i \(-0.412917\pi\)
\(374\) −4.20247 + 7.27889i −0.217305 + 0.376383i
\(375\) 10.6299 18.1581i 0.548924 0.937679i
\(376\) 7.84977i 0.404821i
\(377\) 16.0371 + 17.6834i 0.825954 + 0.910744i
\(378\) −3.60727 3.74000i −0.185538 0.192365i
\(379\) −9.45108 35.2719i −0.485469 1.81180i −0.577938 0.816081i \(-0.696142\pi\)
0.0924683 0.995716i \(-0.470524\pi\)
\(380\) 2.88596 + 1.66621i 0.148047 + 0.0854748i
\(381\) −0.270448 0.0742146i −0.0138555 0.00380213i
\(382\) 13.0595 13.0595i 0.668181 0.668181i
\(383\) −5.05932 + 18.8817i −0.258519 + 0.964807i 0.707579 + 0.706634i \(0.249787\pi\)
−0.966099 + 0.258173i \(0.916879\pi\)
\(384\) 0.856977 + 1.50519i 0.0437324 + 0.0768113i
\(385\) −2.00856 2.00856i −0.102366 0.102366i
\(386\) −22.1224 + 12.7724i −1.12600 + 0.650097i
\(387\) −5.14152 + 8.66275i −0.261358 + 0.440352i
\(388\) −1.03271 + 0.276713i −0.0524278 + 0.0140480i
\(389\) 28.7778 1.45909 0.729545 0.683932i \(-0.239732\pi\)
0.729545 + 0.683932i \(0.239732\pi\)
\(390\) −9.20046 6.00688i −0.465883 0.304170i
\(391\) −14.4808 −0.732326
\(392\) −0.965926 + 0.258819i −0.0487866 + 0.0130723i
\(393\) −1.73486 6.63410i −0.0875119 0.334646i
\(394\) −14.1949 + 8.19540i −0.715126 + 0.412878i
\(395\) −17.4283 17.4283i −0.876913 0.876913i
\(396\) −4.66286 1.30980i −0.234318 0.0658197i
\(397\) 5.83576 21.7793i 0.292888 1.09307i −0.649992 0.759941i \(-0.725228\pi\)
0.942880 0.333133i \(-0.108106\pi\)
\(398\) 19.0720 19.0720i 0.955992 0.955992i
\(399\) −0.868127 + 3.16357i −0.0434607 + 0.158377i
\(400\) −1.64920 0.952165i −0.0824599 0.0476082i
\(401\) 5.35398 + 19.9813i 0.267365 + 0.997819i 0.960787 + 0.277288i \(0.0894355\pi\)
−0.693422 + 0.720532i \(0.743898\pi\)
\(402\) −9.67901 9.79628i −0.482745 0.488594i
\(403\) −8.57382 + 4.40727i −0.427092 + 0.219542i
\(404\) 6.36728i 0.316784i
\(405\) −15.3898 + 3.72885i −0.764724 + 0.185288i
\(406\) 3.31051 5.73398i 0.164298 0.284573i
\(407\) 0.181077 + 0.313634i 0.00897564 + 0.0155463i
\(408\) 9.01705 + 0.0542970i 0.446410 + 0.00268810i
\(409\) 19.0110 + 5.09397i 0.940032 + 0.251881i 0.696127 0.717918i \(-0.254905\pi\)
0.243905 + 0.969799i \(0.421572\pi\)
\(410\) 0.564577 + 0.151278i 0.0278825 + 0.00747109i
\(411\) −11.3219 0.0681756i −0.558466 0.00336286i
\(412\) 7.20363 + 12.4770i 0.354897 + 0.614700i
\(413\) −2.93368 + 5.08129i −0.144357 + 0.250034i
\(414\) −2.06250 8.08563i −0.101366 0.397387i
\(415\) 0.699012i 0.0343131i
\(416\) −1.95290 + 3.03087i −0.0957487 + 0.148601i
\(417\) −16.7935 16.9970i −0.822381 0.832345i
\(418\) 0.791410 + 2.95358i 0.0387092 + 0.144465i
\(419\) 24.1460 + 13.9407i 1.17961 + 0.681049i 0.955925 0.293613i \(-0.0948575\pi\)
0.223686 + 0.974661i \(0.428191\pi\)
\(420\) −0.806451 + 2.93882i −0.0393508 + 0.143400i
\(421\) 26.3314 26.3314i 1.28332 1.28332i 0.344547 0.938769i \(-0.388033\pi\)
0.938769 0.344547i \(-0.111967\pi\)
\(422\) −2.93944 + 10.9702i −0.143090 + 0.534019i
\(423\) 6.36850 22.6718i 0.309647 1.10234i
\(424\) 4.50469 + 4.50469i 0.218767 + 0.218767i
\(425\) −8.58587 + 4.95706i −0.416476 + 0.240453i
\(426\) 0.361329 + 1.38172i 0.0175064 + 0.0669447i
\(427\) −6.79276 + 1.82011i −0.328725 + 0.0880815i
\(428\) −8.99524 −0.434801
\(429\) −2.07209 9.86697i −0.100041 0.476382i
\(430\) 5.90804 0.284911
\(431\) −33.0470 + 8.85490i −1.59182 + 0.426526i −0.942558 0.334043i \(-0.891587\pi\)
−0.649258 + 0.760568i \(0.724920\pi\)
\(432\) 1.25398 + 5.04257i 0.0603322 + 0.242611i
\(433\) 29.8360 17.2258i 1.43383 0.827821i 0.436418 0.899744i \(-0.356247\pi\)
0.997410 + 0.0719230i \(0.0229136\pi\)
\(434\) 1.89061 + 1.89061i 0.0907521 + 0.0907521i
\(435\) −9.98325 17.5345i −0.478660 0.840715i
\(436\) 4.23593 15.8087i 0.202864 0.757100i
\(437\) −3.72519 + 3.72519i −0.178200 + 0.178200i
\(438\) 10.9774 + 3.01234i 0.524519 + 0.143935i
\(439\) 4.55462 + 2.62961i 0.217380 + 0.125505i 0.604737 0.796425i \(-0.293278\pi\)
−0.387356 + 0.921930i \(0.626612\pi\)
\(440\) 0.735185 + 2.74375i 0.0350486 + 0.130803i
\(441\) −2.99978 0.0361283i −0.142847 0.00172039i
\(442\) 8.58153 + 16.6943i 0.408182 + 0.794069i
\(443\) 22.6703i 1.07710i 0.842594 + 0.538549i \(0.181027\pi\)
−0.842594 + 0.538549i \(0.818973\pi\)
\(444\) 0.196290 0.335306i 0.00931552 0.0159129i
\(445\) −7.51901 + 13.0233i −0.356435 + 0.617364i
\(446\) 4.14572 + 7.18060i 0.196305 + 0.340011i
\(447\) −0.107287 + 17.8170i −0.00507448 + 0.842714i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) 27.2761 + 7.30861i 1.28724 + 0.344914i 0.836611 0.547798i \(-0.184534\pi\)
0.450627 + 0.892712i \(0.351200\pi\)
\(450\) −3.99075 4.08805i −0.188126 0.192712i
\(451\) 0.268161 + 0.464468i 0.0126272 + 0.0218709i
\(452\) −10.1582 + 17.5944i −0.477799 + 0.827573i
\(453\) 18.9678 + 11.1039i 0.891183 + 0.521705i
\(454\) 19.6302i 0.921293i
\(455\) −6.20041 + 1.34113i −0.290680 + 0.0628732i
\(456\) 2.33361 2.30567i 0.109281 0.107973i
\(457\) −1.99897 7.46027i −0.0935081 0.348977i 0.903281 0.429050i \(-0.141151\pi\)
−0.996789 + 0.0800727i \(0.974485\pi\)
\(458\) −7.82733 4.51911i −0.365747 0.211164i
\(459\) 25.9991 + 7.47234i 1.21354 + 0.348779i
\(460\) −3.46054 + 3.46054i −0.161348 + 0.161348i
\(461\) 8.01540 29.9139i 0.373314 1.39323i −0.482478 0.875908i \(-0.660263\pi\)
0.855792 0.517320i \(-0.173070\pi\)
\(462\) −2.43004 + 1.38354i −0.113056 + 0.0643682i
\(463\) 0.622176 + 0.622176i 0.0289150 + 0.0289150i 0.721416 0.692501i \(-0.243491\pi\)
−0.692501 + 0.721416i \(0.743491\pi\)
\(464\) −5.73398 + 3.31051i −0.266193 + 0.153687i
\(465\) 7.88298 2.06144i 0.365565 0.0955972i
\(466\) 17.5827 4.71128i 0.814504 0.218246i
\(467\) 18.7500 0.867648 0.433824 0.900998i \(-0.357164\pi\)
0.433824 + 0.900998i \(0.357164\pi\)
\(468\) −8.09933 + 7.16944i −0.374392 + 0.331407i
\(469\) −7.95090 −0.367138
\(470\) −13.3407 + 3.57462i −0.615359 + 0.164885i
\(471\) −41.2340 + 10.7829i −1.89996 + 0.496851i
\(472\) 5.08129 2.93368i 0.233885 0.135034i
\(473\) 3.83331 + 3.83331i 0.176256 + 0.176256i
\(474\) −21.0855 + 12.0050i −0.968487 + 0.551408i
\(475\) −0.933514 + 3.48392i −0.0428326 + 0.159853i
\(476\) 3.68126 3.68126i 0.168730 0.168730i
\(477\) 9.35587 + 16.6652i 0.428376 + 0.763046i
\(478\) −5.33189 3.07837i −0.243875 0.140801i
\(479\) −11.1313 41.5425i −0.508601 1.89812i −0.434006 0.900910i \(-0.642900\pi\)
−0.0745944 0.997214i \(-0.523766\pi\)
\(480\) 2.16782 2.14186i 0.0989468 0.0977623i
\(481\) 0.807839 + 0.0394405i 0.0368343 + 0.00179833i
\(482\) 10.5285i 0.479560i
\(483\) −4.15769 2.43394i −0.189181 0.110748i
\(484\) 4.19679 7.26905i 0.190763 0.330411i
\(485\) 0.940548 + 1.62908i 0.0427081 + 0.0739726i
\(486\) −0.469260 + 15.5814i −0.0212861 + 0.706786i
\(487\) 32.6332 + 8.74405i 1.47875 + 0.396231i 0.905923 0.423443i \(-0.139179\pi\)
0.572831 + 0.819674i \(0.305845\pi\)
\(488\) 6.79276 + 1.82011i 0.307494 + 0.0823927i
\(489\) −0.188285 + 31.2684i −0.00851456 + 1.41400i
\(490\) 0.879726 + 1.52373i 0.0397420 + 0.0688351i
\(491\) −14.9710 + 25.9305i −0.675630 + 1.17023i 0.300654 + 0.953733i \(0.402795\pi\)
−0.976284 + 0.216493i \(0.930538\pi\)
\(492\) 0.290691 0.496562i 0.0131054 0.0223867i
\(493\) 34.4697i 1.55244i
\(494\) 6.50223 + 2.08702i 0.292549 + 0.0938996i
\(495\) −0.102624 + 8.52099i −0.00461259 + 0.382990i
\(496\) −0.692011 2.58262i −0.0310722 0.115963i
\(497\) 0.714094 + 0.412282i 0.0320315 + 0.0184934i
\(498\) −0.663594 0.182099i −0.0297363 0.00816006i
\(499\) −0.536319 + 0.536319i −0.0240089 + 0.0240089i −0.719009 0.695000i \(-0.755404\pi\)
0.695000 + 0.719009i \(0.255404\pi\)
\(500\) −3.14409 + 11.7339i −0.140608 + 0.524756i
\(501\) 9.33802 + 16.4012i 0.417192 + 0.732752i
\(502\) 1.70231 + 1.70231i 0.0759778 + 0.0759778i
\(503\) 6.62590 3.82546i 0.295434 0.170569i −0.344956 0.938619i \(-0.612106\pi\)
0.640390 + 0.768050i \(0.278773\pi\)
\(504\) 2.57982 + 1.53118i 0.114914 + 0.0682041i
\(505\) 10.8212 2.89953i 0.481537 0.129027i
\(506\) −4.49060 −0.199631
\(507\) −21.0302 8.04547i −0.933985 0.357312i
\(508\) 0.161915 0.00718384
\(509\) 15.4835 4.14878i 0.686293 0.183892i 0.101210 0.994865i \(-0.467729\pi\)
0.585083 + 0.810973i \(0.301062\pi\)
\(510\) −4.01390 15.3492i −0.177739 0.679674i
\(511\) 5.69159 3.28604i 0.251781 0.145366i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 8.61055 4.76603i 0.380165 0.210425i
\(514\) 4.01134 14.9705i 0.176933 0.660321i
\(515\) 17.9244 17.9244i 0.789842 0.789842i
\(516\) 1.53910 5.60868i 0.0677551 0.246909i
\(517\) −10.9751 6.33650i −0.482686 0.278679i
\(518\) −0.0580585 0.216677i −0.00255095 0.00952026i
\(519\) 28.4206 + 28.7649i 1.24753 + 1.26264i
\(520\) 6.04028 + 1.93875i 0.264884 + 0.0850198i
\(521\) 20.2713i 0.888104i 0.896001 + 0.444052i \(0.146459\pi\)
−0.896001 + 0.444052i \(0.853541\pi\)
\(522\) −19.2468 + 4.90952i −0.842409 + 0.214884i
\(523\) −6.52266 + 11.2976i −0.285216 + 0.494008i −0.972662 0.232227i \(-0.925399\pi\)
0.687446 + 0.726236i \(0.258732\pi\)
\(524\) 1.97950 + 3.42860i 0.0864749 + 0.149779i
\(525\) −3.29834 0.0198612i −0.143951 0.000866816i
\(526\) 1.78547 + 0.478416i 0.0778503 + 0.0208599i
\(527\) −13.4453 3.60267i −0.585689 0.156935i
\(528\) 2.79625 + 0.0168379i 0.121691 + 0.000732775i
\(529\) 7.63159 + 13.2183i 0.331808 + 0.574709i
\(530\) 5.60438 9.70706i 0.243439 0.421648i
\(531\) 17.0560 4.35067i 0.740165 0.188803i
\(532\) 1.89401i 0.0821158i
\(533\) 1.19635 + 0.0584084i 0.0518195 + 0.00252995i
\(534\) 10.4047 + 10.5307i 0.450254 + 0.455709i
\(535\) 4.09625 + 15.2874i 0.177096 + 0.660932i
\(536\) 6.88568 + 3.97545i 0.297416 + 0.171713i
\(537\) 3.73876 13.6246i 0.161340 0.587943i
\(538\) −14.0971 + 14.0971i −0.607767 + 0.607767i
\(539\) −0.417849 + 1.55943i −0.0179980 + 0.0671695i
\(540\) 7.99881 4.42742i 0.344214 0.190526i
\(541\) 27.1532 + 27.1532i 1.16741 + 1.16741i 0.982815 + 0.184594i \(0.0590971\pi\)
0.184594 + 0.982815i \(0.440903\pi\)
\(542\) −20.0005 + 11.5473i −0.859095 + 0.495999i
\(543\) 7.63065 + 29.1797i 0.327462 + 1.25222i
\(544\) −5.02870 + 1.34744i −0.215604 + 0.0577708i
\(545\) −28.7959 −1.23348
\(546\) −0.342086 + 6.23562i −0.0146399 + 0.266860i
\(547\) −21.9208 −0.937265 −0.468632 0.883393i \(-0.655253\pi\)
−0.468632 + 0.883393i \(0.655253\pi\)
\(548\) 6.31406 1.69185i 0.269723 0.0722721i
\(549\) 18.1423 + 10.7678i 0.774295 + 0.459560i
\(550\) −2.66254 + 1.53722i −0.113531 + 0.0655471i
\(551\) 8.86733 + 8.86733i 0.377761 + 0.377761i
\(552\) 2.38370 + 4.18670i 0.101457 + 0.178198i
\(553\) −3.62567 + 13.5312i −0.154179 + 0.575405i
\(554\) −2.88860 + 2.88860i −0.122725 + 0.122725i
\(555\) −0.659238 0.180904i −0.0279831 0.00767894i
\(556\) 11.9470 + 6.89758i 0.506664 + 0.292522i
\(557\) −2.79836 10.4436i −0.118570 0.442510i 0.880959 0.473193i \(-0.156899\pi\)
−0.999529 + 0.0306824i \(0.990232\pi\)
\(558\) 0.0965970 8.02059i 0.00408928 0.339539i
\(559\) 11.8334 2.55953i 0.500499 0.108257i
\(560\) 1.75945i 0.0743504i
\(561\) 7.35467 12.5634i 0.310515 0.530425i
\(562\) −10.3543 + 17.9342i −0.436771 + 0.756510i
\(563\) 19.7857 + 34.2698i 0.833867 + 1.44430i 0.894950 + 0.446166i \(0.147211\pi\)
−0.0610835 + 0.998133i \(0.519456\pi\)
\(564\) −0.0818693 + 13.5959i −0.00344732 + 0.572493i
\(565\) 34.5276 + 9.25163i 1.45259 + 0.389219i
\(566\) 12.6859 + 3.39919i 0.533230 + 0.142879i
\(567\) 6.20885 + 6.51538i 0.260747 + 0.273620i
\(568\) −0.412282 0.714094i −0.0172990 0.0299627i
\(569\) 14.3841 24.9139i 0.603011 1.04445i −0.389352 0.921089i \(-0.627301\pi\)
0.992362 0.123356i \(-0.0393658\pi\)
\(570\) −4.98116 2.91601i −0.208638 0.122138i
\(571\) 20.2057i 0.845582i −0.906227 0.422791i \(-0.861050\pi\)
0.906227 0.422791i \(-0.138950\pi\)
\(572\) 2.66119 + 5.17703i 0.111270 + 0.216462i
\(573\) −22.7555 + 22.4831i −0.950624 + 0.939244i
\(574\) −0.0859802 0.320883i −0.00358874 0.0133934i
\(575\) −4.58727 2.64846i −0.191302 0.110448i
\(576\) −1.46860 2.61595i −0.0611918 0.108998i
\(577\) −7.03204 + 7.03204i −0.292748 + 0.292748i −0.838165 0.545417i \(-0.816371\pi\)
0.545417 + 0.838165i \(0.316371\pi\)
\(578\) −2.61494 + 9.75911i −0.108767 + 0.405925i
\(579\) 38.4497 21.8913i 1.59791 0.909771i
\(580\) 8.23735 + 8.23735i 0.342038 + 0.342038i
\(581\) −0.344063 + 0.198645i −0.0142741 + 0.00824117i
\(582\) 1.79156 0.468502i 0.0742624 0.0194200i
\(583\) 9.93451 2.66194i 0.411445 0.110246i
\(584\) −6.57209 −0.271955
\(585\) 15.8727 + 10.5000i 0.656257 + 0.434121i
\(586\) 14.8840 0.614851
\(587\) 9.19776 2.46453i 0.379632 0.101722i −0.0639564 0.997953i \(-0.520372\pi\)
0.443588 + 0.896231i \(0.353705\pi\)
\(588\) 1.67570 0.438205i 0.0691048 0.0180713i
\(589\) −4.38561 + 2.53203i −0.180706 + 0.104331i
\(590\) −7.29971 7.29971i −0.300524 0.300524i
\(591\) 24.6712 14.0465i 1.01484 0.577798i
\(592\) −0.0580585 + 0.216677i −0.00238619 + 0.00890539i
\(593\) 28.7125 28.7125i 1.17908 1.17908i 0.199103 0.979979i \(-0.436197\pi\)
0.979979 0.199103i \(-0.0638029\pi\)
\(594\) 8.06251 + 2.31722i 0.330809 + 0.0950768i
\(595\) −7.93267 4.57993i −0.325208 0.187759i
\(596\) −2.66242 9.93630i −0.109057 0.407007i
\(597\) −33.2320 + 32.8341i −1.36009 + 1.34381i
\(598\) −5.43201 + 8.43042i −0.222131 + 0.344745i
\(599\) 12.7087i 0.519262i 0.965708 + 0.259631i \(0.0836009\pi\)
−0.965708 + 0.259631i \(0.916399\pi\)
\(600\) 2.84651 + 1.66637i 0.116208 + 0.0680292i
\(601\) −21.8695 + 37.8791i −0.892076 + 1.54512i −0.0546932 + 0.998503i \(0.517418\pi\)
−0.837383 + 0.546617i \(0.815915\pi\)
\(602\) −1.67894 2.90801i −0.0684286 0.118522i
\(603\) 16.6621 + 17.0683i 0.678532 + 0.695075i
\(604\) −12.2571 3.28429i −0.498736 0.133636i
\(605\) −14.2649 3.82226i −0.579950 0.155397i
\(606\) 0.0664077 11.0283i 0.00269763 0.447992i
\(607\) 7.80137 + 13.5124i 0.316648 + 0.548450i 0.979786 0.200046i \(-0.0641093\pi\)
−0.663138 + 0.748497i \(0.730776\pi\)
\(608\) −0.947006 + 1.64026i −0.0384062 + 0.0665214i
\(609\) −5.79368 + 9.89683i −0.234772 + 0.401040i
\(610\) 12.3731i 0.500974i
\(611\) −25.1718 + 12.9393i −1.01834 + 0.523467i
\(612\) −15.6171 0.188087i −0.631285 0.00760297i
\(613\) −1.31773 4.91783i −0.0532226 0.198629i 0.934195 0.356762i \(-0.116119\pi\)
−0.987418 + 0.158133i \(0.949453\pi\)
\(614\) 2.66021 + 1.53587i 0.107357 + 0.0619828i
\(615\) −0.976281 0.267905i −0.0393675 0.0108030i
\(616\) 1.14158 1.14158i 0.0459957 0.0459957i
\(617\) −7.52415 + 28.0805i −0.302911 + 1.13048i 0.631818 + 0.775117i \(0.282309\pi\)
−0.934729 + 0.355362i \(0.884358\pi\)
\(618\) −12.3467 21.6856i −0.496657 0.872324i
\(619\) −31.8626 31.8626i −1.28067 1.28067i −0.940289 0.340377i \(-0.889445\pi\)
−0.340377 0.940289i \(-0.610555\pi\)
\(620\) −4.07403 + 2.35214i −0.163617 + 0.0944644i
\(621\) 3.48797 + 14.0260i 0.139967 + 0.562843i
\(622\) 18.2759 4.89700i 0.732795 0.196352i
\(623\) 8.54699 0.342428
\(624\) 3.41407 5.22916i 0.136672 0.209334i
\(625\) 11.8519 0.474075
\(626\) −11.1490 + 2.98736i −0.445603 + 0.119399i
\(627\) −1.33993 5.12392i −0.0535118 0.204630i
\(628\) 21.3103 12.3035i 0.850373 0.490963i
\(629\) 0.825784 + 0.825784i 0.0329262 + 0.0329262i
\(630\) 1.42744 5.08168i 0.0568706 0.202459i
\(631\) −5.27099 + 19.6716i −0.209835 + 0.783114i 0.778086 + 0.628157i \(0.216191\pi\)
−0.987921 + 0.154957i \(0.950476\pi\)
\(632\) 9.90553 9.90553i 0.394021 0.394021i
\(633\) 5.20559 18.9699i 0.206903 0.753984i
\(634\) −9.97933 5.76157i −0.396330 0.228821i
\(635\) −0.0737330 0.275175i −0.00292601 0.0109200i
\(636\) −7.75523 7.84919i −0.307515 0.311241i
\(637\) 2.42215 + 2.67080i 0.0959692 + 0.105821i
\(638\) 10.6893i 0.423193i
\(639\) −0.611417 2.39694i −0.0241873 0.0948215i
\(640\) −0.879726 + 1.52373i −0.0347742 + 0.0602307i
\(641\) −4.09868 7.09912i −0.161888 0.280398i 0.773658 0.633604i \(-0.218425\pi\)
−0.935546 + 0.353205i \(0.885092\pi\)
\(642\) 15.5799 + 0.0938161i 0.614891 + 0.00370262i
\(643\) −32.3604 8.67094i −1.27617 0.341948i −0.443777 0.896137i \(-0.646362\pi\)
−0.832391 + 0.554189i \(0.813029\pi\)
\(644\) 2.68674 + 0.719909i 0.105872 + 0.0283684i
\(645\) −10.2328 0.0616180i −0.402917 0.00242621i
\(646\) 4.93020 + 8.53935i 0.193976 + 0.335976i
\(647\) −4.25423 + 7.36854i −0.167251 + 0.289687i −0.937452 0.348114i \(-0.886822\pi\)
0.770201 + 0.637801i \(0.220156\pi\)
\(648\) −2.11933 8.74691i −0.0832550 0.343611i
\(649\) 9.47253i 0.371829i
\(650\) −0.334823 + 6.85799i −0.0131328 + 0.268992i
\(651\) −3.25485 3.29429i −0.127568 0.129113i
\(652\) −4.67249 17.4380i −0.182989 0.682924i
\(653\) −28.2611 16.3165i −1.10594 0.638515i −0.168166 0.985759i \(-0.553784\pi\)
−0.937775 + 0.347243i \(0.887118\pi\)
\(654\) −7.50159 + 27.3368i −0.293336 + 1.06895i
\(655\) 4.92547 4.92547i 0.192454 0.192454i
\(656\) −0.0859802 + 0.320883i −0.00335696 + 0.0125284i
\(657\) −18.9816 5.33192i −0.740543 0.208018i
\(658\) 5.55062 + 5.55062i 0.216386 + 0.216386i
\(659\) 10.4010 6.00501i 0.405164 0.233922i −0.283545 0.958959i \(-0.591511\pi\)
0.688710 + 0.725037i \(0.258177\pi\)
\(660\) −1.24474 4.75989i −0.0484514 0.185278i
\(661\) −42.5188 + 11.3929i −1.65379 + 0.443131i −0.960670 0.277692i \(-0.910430\pi\)
−0.693118 + 0.720824i \(0.743764\pi\)
\(662\) −12.4827 −0.485156
\(663\) −14.6893 29.0044i −0.570484 1.12644i
\(664\) 0.397289 0.0154178
\(665\) −3.21887 + 0.862494i −0.124823 + 0.0334461i
\(666\) −0.343476 + 0.578709i −0.0133094 + 0.0224245i
\(667\) −15.9491 + 9.20824i −0.617553 + 0.356545i
\(668\) −7.70496 7.70496i −0.298114 0.298114i
\(669\) −7.10558 12.4802i −0.274717 0.482511i
\(670\) 3.62068 13.5126i 0.139879 0.522035i
\(671\) 8.02806 8.02806i 0.309920 0.309920i
\(672\) −1.67030 0.458354i −0.0644333 0.0176814i
\(673\) −11.9588 6.90441i −0.460978 0.266146i 0.251478 0.967863i \(-0.419084\pi\)
−0.712455 + 0.701718i \(0.752417\pi\)
\(674\) 0.574150 + 2.14276i 0.0221154 + 0.0825359i
\(675\) 6.86942 + 7.12220i 0.264404 + 0.274134i
\(676\) 12.9382 + 1.26636i 0.497622 + 0.0487062i
\(677\) 19.8697i 0.763655i −0.924234 0.381828i \(-0.875295\pi\)
0.924234 0.381828i \(-0.124705\pi\)
\(678\) 17.7776 30.3680i 0.682746 1.16627i
\(679\) 0.534569 0.925900i 0.0205149 0.0355328i
\(680\) 4.57993 + 7.93267i 0.175632 + 0.304204i
\(681\) −0.204734 + 33.9999i −0.00784542 + 1.30288i
\(682\) −4.16949 1.11721i −0.159658 0.0427803i
\(683\) −16.3364 4.37732i −0.625094 0.167494i −0.0676518 0.997709i \(-0.521551\pi\)
−0.557443 + 0.830215i \(0.688217\pi\)
\(684\) −4.06590 + 3.96913i −0.155464 + 0.151763i
\(685\) −5.75059 9.96031i −0.219719 0.380564i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) 13.5100 + 7.90882i 0.515437 + 0.301740i
\(688\) 3.35788i 0.128018i
\(689\) 7.01979 21.8705i 0.267433 0.833201i
\(690\) 6.02981 5.95763i 0.229551 0.226803i
\(691\) −6.88713 25.7031i −0.261999 0.977792i −0.964062 0.265678i \(-0.914404\pi\)
0.702063 0.712115i \(-0.252262\pi\)
\(692\) −20.2185 11.6732i −0.768592 0.443747i
\(693\) 4.22331 2.37098i 0.160430 0.0900660i
\(694\) −15.3335 + 15.3335i −0.582051 + 0.582051i
\(695\) 6.28203 23.4449i 0.238291 0.889314i
\(696\) 9.96589 5.67407i 0.377756 0.215075i
\(697\) 1.22292 + 1.22292i 0.0463215 + 0.0463215i
\(698\) 13.5007 7.79465i 0.511010 0.295032i
\(699\) −30.5028 + 7.97665i −1.15372 + 0.301705i
\(700\) 1.83944 0.492877i 0.0695243 0.0186290i
\(701\) 21.3019 0.804562 0.402281 0.915516i \(-0.368217\pi\)
0.402281 + 0.915516i \(0.368217\pi\)
\(702\) 14.1030 12.3331i 0.532282 0.465484i
\(703\) 0.424867 0.0160241
\(704\) −1.55943 + 0.417849i −0.0587733 + 0.0157483i
\(705\) 23.1436 6.05218i 0.871638 0.227938i
\(706\) 6.03543 3.48456i 0.227147 0.131143i
\(707\) −4.50235 4.50235i −0.169328 0.169328i
\(708\) −8.83149 + 5.02820i −0.331908 + 0.188971i
\(709\) 5.59128 20.8670i 0.209985 0.783675i −0.777887 0.628404i \(-0.783708\pi\)
0.987872 0.155271i \(-0.0496249\pi\)
\(710\) −1.02586 + 1.02586i −0.0384997 + 0.0384997i
\(711\) 36.6456 20.5730i 1.37432 0.771547i
\(712\) −7.40191 4.27349i −0.277398 0.160156i
\(713\) −1.92484 7.18359i −0.0720857 0.269028i
\(714\) −6.41441 + 6.33762i −0.240053 + 0.237180i
\(715\) 7.58651 6.88021i 0.283719 0.257305i
\(716\) 8.15694i 0.304839i
\(717\) 9.20283 + 5.38740i 0.343686 + 0.201196i
\(718\) 8.46509 14.6620i 0.315914 0.547180i
\(719\) 8.47563 + 14.6802i 0.316088 + 0.547480i 0.979668 0.200625i \(-0.0642973\pi\)
−0.663580 + 0.748105i \(0.730964\pi\)
\(720\) −3.77704 + 3.68714i −0.140762 + 0.137412i
\(721\) −13.9163 3.72887i −0.518272 0.138870i
\(722\) −14.8875 3.98911i −0.554057 0.148459i
\(723\) −0.109807 + 18.2356i −0.00408378 + 0.678188i
\(724\) −8.70670 15.0804i −0.323582 0.560460i
\(725\) −6.30431 + 10.9194i −0.234136 + 0.405536i
\(726\) −7.34473 + 12.5464i −0.272588 + 0.465639i
\(727\) 19.6491i 0.728744i −0.931253 0.364372i \(-0.881284\pi\)
0.931253 0.364372i \(-0.118716\pi\)
\(728\) −0.762244 3.52406i −0.0282507 0.130610i
\(729\) 0.975275 26.9824i 0.0361213 0.999347i
\(730\) 2.99279 + 11.1693i 0.110768 + 0.413393i
\(731\) 15.1394 + 8.74072i 0.559950 + 0.323287i
\(732\) −11.7462 3.22332i −0.434152 0.119137i
\(733\) 13.9036 13.9036i 0.513543 0.513543i −0.402068 0.915610i \(-0.631708\pi\)
0.915610 + 0.402068i \(0.131708\pi\)
\(734\) −7.24001 + 27.0201i −0.267234 + 0.997330i
\(735\) −1.50781 2.64830i −0.0556164 0.0976842i
\(736\) −1.96683 1.96683i −0.0724982 0.0724982i
\(737\) 11.1165 6.41814i 0.409483 0.236415i
\(738\) −0.508661 + 0.857023i −0.0187241 + 0.0315474i
\(739\) 11.4635 3.07163i 0.421691 0.112992i −0.0417322 0.999129i \(-0.513288\pi\)
0.463423 + 0.886137i \(0.346621\pi\)
\(740\) 0.394682 0.0145088
\(741\) −11.2402 3.68258i −0.412920 0.135283i
\(742\) −6.37059 −0.233872
\(743\) 7.78184 2.08514i 0.285488 0.0764963i −0.113233 0.993568i \(-0.536121\pi\)
0.398721 + 0.917072i \(0.369454\pi\)
\(744\) 1.17164 + 4.48036i 0.0429544 + 0.164258i
\(745\) −15.6743 + 9.04958i −0.574263 + 0.331551i
\(746\) −19.0843 19.0843i −0.698727 0.698727i
\(747\) 1.14746 + 0.322320i 0.0419833 + 0.0117931i
\(748\) −2.17536 + 8.11855i −0.0795390 + 0.296844i
\(749\) 6.36060 6.36060i 0.232411 0.232411i
\(750\) 5.56801 20.2906i 0.203315 0.740907i
\(751\) 18.2097 + 10.5134i 0.664480 + 0.383638i 0.793982 0.607941i \(-0.208004\pi\)
−0.129502 + 0.991579i \(0.541338\pi\)
\(752\) −2.03167 7.58229i −0.0740873 0.276498i
\(753\) −2.93068 2.96619i −0.106800 0.108094i
\(754\) 20.0675 + 12.9302i 0.730815 + 0.470890i
\(755\) 22.3266i 0.812548i
\(756\) −4.45234 2.67894i −0.161930 0.0974320i
\(757\) −7.48018 + 12.9561i −0.271872 + 0.470896i −0.969341 0.245719i \(-0.920976\pi\)
0.697469 + 0.716615i \(0.254309\pi\)
\(758\) −18.2581 31.6239i −0.663164 1.14863i
\(759\) 7.77780 + 0.0468348i 0.282316 + 0.00170000i
\(760\) 3.21887 + 0.862494i 0.116761 + 0.0312860i
\(761\) 1.98329 + 0.531420i 0.0718941 + 0.0192640i 0.294587 0.955625i \(-0.404818\pi\)
−0.222693 + 0.974889i \(0.571485\pi\)
\(762\) −0.280441 0.00168870i −0.0101593 6.11752e-5i
\(763\) 8.18319 + 14.1737i 0.296251 + 0.513123i
\(764\) 9.23445 15.9945i 0.334091 0.578662i
\(765\) 6.79207 + 26.6270i 0.245568 + 0.962700i
\(766\) 19.5477i 0.706288i
\(767\) −17.7832 11.4584i −0.642116 0.413737i
\(768\) 1.21735 + 1.23210i 0.0439273 + 0.0444595i
\(769\) −4.55534 17.0007i −0.164270 0.613063i −0.998132 0.0610905i \(-0.980542\pi\)
0.833863 0.551972i \(-0.186124\pi\)
\(770\) −2.45998 1.42027i −0.0886514 0.0511829i
\(771\) −7.10385 + 25.8874i −0.255839 + 0.932312i
\(772\) −18.0629 + 18.0629i −0.650097 + 0.650097i