Properties

Label 546.2.bu.b.71.5
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 71.5
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.b.323.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.458354 + 1.67030i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.24412 + 1.24412i) q^{5} +(-0.875042 - 1.49476i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.57982 + 1.53118i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.458354 + 1.67030i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.24412 + 1.24412i) q^{5} +(-0.875042 - 1.49476i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.57982 + 1.53118i) 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} +(-1.50781 + 2.64830i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.60304 + 4.50861i) q^{17} +(2.09562 - 2.14671i) q^{18} +(-1.82947 - 0.490206i) q^{19} +(1.69950 + 0.455380i) q^{20} +(-1.73202 + 0.0104295i) q^{21} +(-0.807222 - 1.39815i) q^{22} +(-1.39076 + 2.40886i) q^{23} +(-1.50519 - 0.856977i) 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} +(0.771001 - 2.94832i) q^{30} +(1.89061 - 1.89061i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-2.41320 + 1.41271i) q^{33} +(-3.68126 - 3.68126i) q^{34} +(-1.52373 + 0.879726i) q^{35} +(-1.46860 + 2.61595i) q^{36} +(-0.216677 + 0.0580585i) q^{37} +1.89401 q^{38} +(0.266967 - 6.23929i) q^{39} -1.75945 q^{40} +(0.320883 - 0.0859802i) q^{41} +(1.67030 - 0.458354i) q^{42} +(-2.90801 + 1.67894i) q^{43} +(1.14158 + 1.14158i) q^{44} +(-5.11458 - 1.30464i) q^{45} +(0.719909 - 2.68674i) q^{46} +(-5.55062 + 5.55062i) q^{47} +(1.67570 + 0.438205i) 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} +(4.54620 + 2.51637i) q^{54} +(-1.42027 + 2.45998i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-0.0197536 - 3.28046i) q^{57} +(-6.39542 - 1.71365i) q^{58} +(-5.66744 - 1.51859i) q^{59} +(0.0183502 + 3.04740i) q^{60} +(3.51619 + 6.09022i) q^{61} +(-1.33686 + 2.31551i) q^{62} +(-0.811298 - 2.88822i) 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} +(-4.66099 - 1.21887i) q^{69} +(1.24412 - 1.24412i) q^{70} +(-0.213413 + 0.796468i) q^{71} +(0.741504 - 2.90692i) q^{72} +(-4.64717 - 4.64717i) q^{73} +(0.194268 - 0.112160i) q^{74} +(3.18081 - 0.872857i) q^{75} +(-1.82947 + 0.490206i) q^{76} -1.61444 q^{77} +(1.35698 + 6.09579i) q^{78} +14.0085 q^{79} +(1.69950 - 0.455380i) q^{80} +(4.31098 - 7.90034i) q^{81} +(-0.287695 + 0.166101i) q^{82} +(-0.280926 - 0.280926i) q^{83} +(-1.49476 + 0.875042i) q^{84} +(-2.37075 + 8.84775i) q^{85} +(2.37438 - 2.37438i) q^{86} +(-2.90137 + 11.0949i) 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} +(4.02446 + 2.29132i) q^{93} +(3.92488 - 6.79810i) q^{94} +(-1.66621 - 2.88596i) q^{95} +(-1.73202 + 0.0104295i) q^{96} +(-1.03271 - 0.276713i) q^{97} +(0.965926 + 0.258819i) q^{98} +(-3.46575 - 3.38326i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

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

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

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
\(3\) 0.458354 + 1.67030i 0.264631 + 0.964350i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 1.24412 + 1.24412i 0.556387 + 0.556387i 0.928277 0.371890i \(-0.121290\pi\)
−0.371890 + 0.928277i \(0.621290\pi\)
\(6\) −0.875042 1.49476i −0.357234 0.610232i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −2.57982 + 1.53118i −0.859941 + 0.510393i
\(10\) −1.52373 0.879726i −0.481846 0.278194i
\(11\) 0.417849 + 1.55943i 0.125986 + 0.470187i 0.999873 0.0159428i \(-0.00507497\pi\)
−0.873887 + 0.486130i \(0.838408\pi\)
\(12\) 1.23210 + 1.21735i 0.355676 + 0.351418i
\(13\) −3.43305 1.10191i −0.952156 0.305614i
\(14\) 1.00000i 0.267261i
\(15\) −1.50781 + 2.64830i −0.389315 + 0.683789i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 2.60304 + 4.50861i 0.631331 + 1.09350i 0.987280 + 0.158992i \(0.0508244\pi\)
−0.355949 + 0.934505i \(0.615842\pi\)
\(18\) 2.09562 2.14671i 0.493942 0.505985i
\(19\) −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
\(21\) −1.73202 + 0.0104295i −0.377958 + 0.00227591i
\(22\) −0.807222 1.39815i −0.172100 0.298086i
\(23\) −1.39076 + 2.40886i −0.289993 + 0.502282i −0.973808 0.227373i \(-0.926986\pi\)
0.683815 + 0.729656i \(0.260320\pi\)
\(24\) −1.50519 0.856977i −0.307245 0.174930i
\(25\) 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 0.926749 0.375682i \(-0.122591\pi\)
0.138024 + 0.990429i \(0.455925\pi\)
\(30\) 0.771001 2.94832i 0.140765 0.538286i
\(31\) 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
\(33\) −2.41320 + 1.41271i −0.420085 + 0.245921i
\(34\) −3.68126 3.68126i −0.631331 0.631331i
\(35\) −1.52373 + 0.879726i −0.257557 + 0.148701i
\(36\) −1.46860 + 2.61595i −0.244767 + 0.435992i
\(37\) −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
\(39\) 0.266967 6.23929i 0.0427490 0.999086i
\(40\) −1.75945 −0.278194
\(41\) 0.320883 0.0859802i 0.0501134 0.0134279i −0.233675 0.972315i \(-0.575075\pi\)
0.283789 + 0.958887i \(0.408409\pi\)
\(42\) 1.67030 0.458354i 0.257733 0.0707255i
\(43\) −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
\(45\) −5.11458 1.30464i −0.762437 0.194484i
\(46\) 0.719909 2.68674i 0.106145 0.396138i
\(47\) −5.55062 + 5.55062i −0.809641 + 0.809641i −0.984579 0.174938i \(-0.944028\pi\)
0.174938 + 0.984579i \(0.444028\pi\)
\(48\) 1.67570 + 0.438205i 0.241867 + 0.0632495i
\(49\) −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 \(-0.855852\pi\)
0.899202 0.437534i \(-0.144148\pi\)
\(54\) 4.54620 + 2.51637i 0.618659 + 0.342434i
\(55\) −1.42027 + 2.45998i −0.191509 + 0.331703i
\(56\) −0.500000 0.866025i −0.0668153 0.115728i
\(57\) −0.0197536 3.28046i −0.00261643 0.434508i
\(58\) −6.39542 1.71365i −0.839760 0.225013i
\(59\) −5.66744 1.51859i −0.737838 0.197703i −0.129721 0.991551i \(-0.541408\pi\)
−0.608117 + 0.793847i \(0.708075\pi\)
\(60\) 0.0183502 + 3.04740i 0.00236901 + 0.393418i
\(61\) 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
\(63\) −0.811298 2.88822i −0.102214 0.363881i
\(64\) 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
\(69\) −4.66099 1.21887i −0.561117 0.146735i
\(70\) 1.24412 1.24412i 0.148701 0.148701i
\(71\) −0.213413 + 0.796468i −0.0253275 + 0.0945233i −0.977433 0.211247i \(-0.932247\pi\)
0.952105 + 0.305771i \(0.0989141\pi\)
\(72\) 0.741504 2.90692i 0.0873870 0.342584i
\(73\) −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
\(75\) 3.18081 0.872857i 0.367288 0.100789i
\(76\) −1.82947 + 0.490206i −0.209855 + 0.0562305i
\(77\) −1.61444 −0.183983
\(78\) 1.35698 + 6.09579i 0.153647 + 0.690212i
\(79\) 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
\(81\) 4.31098 7.90034i 0.478998 0.877816i
\(82\) −0.287695 + 0.166101i −0.0317706 + 0.0183428i
\(83\) −0.280926 0.280926i −0.0308356 0.0308356i 0.691521 0.722356i \(-0.256941\pi\)
−0.722356 + 0.691521i \(0.756941\pi\)
\(84\) −1.49476 + 0.875042i −0.163091 + 0.0954749i
\(85\) −2.37075 + 8.84775i −0.257144 + 0.959673i
\(86\) 2.37438 2.37438i 0.256036 0.256036i
\(87\) −2.90137 + 11.0949i −0.311060 + 1.18949i
\(88\) −1.39815 0.807222i −0.149043 0.0860501i
\(89\) 2.21212 + 8.25576i 0.234485 + 0.875108i 0.978380 + 0.206813i \(0.0663092\pi\)
−0.743896 + 0.668296i \(0.767024\pi\)
\(90\) 5.27797 0.0635659i 0.556347 0.00670044i
\(91\) 1.95290 3.03087i 0.204719 0.317722i
\(92\) 2.78151i 0.289993i
\(93\) 4.02446 + 2.29132i 0.417317 + 0.237599i
\(94\) 3.92488 6.79810i 0.404821 0.701170i
\(95\) −1.66621 2.88596i −0.170950 0.296093i
\(96\) −1.73202 + 0.0104295i −0.176773 + 0.00106446i
\(97\) −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
\(99\) −3.46575 3.38326i −0.348321 0.340030i
\(100\) −0.952165 1.64920i −0.0952165 0.164920i
\(101\) 3.18364 5.51423i 0.316784 0.548686i −0.663031 0.748592i \(-0.730730\pi\)
0.979815 + 0.199906i \(0.0640636\pi\)
\(102\) 4.46150 7.83614i 0.441754 0.775894i
\(103\) 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 0.826812 0.562478i \(-0.190152\pi\)
−0.0737142 + 0.997279i \(0.523485\pi\)
\(108\) −5.04257 1.25398i −0.485222 0.120664i
\(109\) 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
\(111\) −0.196290 0.335306i −0.0186310 0.0318258i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) 17.5944 10.1582i 1.65515 0.955599i 0.680238 0.732992i \(-0.261877\pi\)
0.974908 0.222607i \(-0.0714567\pi\)
\(114\) 0.868127 + 3.16357i 0.0813076 + 0.296296i
\(115\) −4.72718 + 1.26664i −0.440812 + 0.118115i
\(116\) 6.62103 0.614747
\(117\) 10.5439 2.41389i 0.974781 0.223164i
\(118\) 5.86737 0.540135
\(119\) −5.02870 + 1.34744i −0.460980 + 0.123519i
\(120\) −0.806451 2.93882i −0.0736186 0.268276i
\(121\) 7.26905 4.19679i 0.660822 0.381526i
\(122\) −4.97264 4.97264i −0.450202 0.450202i
\(123\) 0.290691 + 0.496562i 0.0262107 + 0.0447735i
\(124\) 0.692011 2.58262i 0.0621444 0.231926i
\(125\) 8.58982 8.58982i 0.768297 0.768297i
\(126\) 1.53118 + 2.57982i 0.136408 + 0.229829i
\(127\) 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 \(-0.944670\pi\)
0.984931 0.172950i \(-0.0553298\pi\)
\(132\) −1.38354 + 2.43004i −0.120422 + 0.211508i
\(133\) 0.947006 1.64026i 0.0821158 0.142229i
\(134\) −3.97545 6.88568i −0.343427 0.594832i
\(135\) −0.165144 9.14089i −0.0142133 0.786722i
\(136\) −5.02870 1.34744i −0.431207 0.115542i
\(137\) −6.31406 1.69185i −0.539446 0.144544i −0.0211995 0.999775i \(-0.506749\pi\)
−0.518247 + 0.855231i \(0.673415\pi\)
\(138\) 4.81764 0.0290099i 0.410104 0.00246948i
\(139\) 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
\(141\) −11.8154 6.72707i −0.995034 0.566522i
\(142\) 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
\(147\) 0.438205 1.67570i 0.0361426 0.138210i
\(148\) −0.158619 + 0.158619i −0.0130384 + 0.0130384i
\(149\) −2.66242 + 9.93630i −0.218114 + 0.814014i 0.766933 + 0.641728i \(0.221782\pi\)
−0.985047 + 0.172286i \(0.944885\pi\)
\(150\) −2.84651 + 1.66637i −0.232417 + 0.136058i
\(151\) −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
\(153\) −13.6189 7.64568i −1.10102 0.618117i
\(154\) 1.55943 0.417849i 0.125663 0.0336712i
\(155\) 4.70429 0.377858
\(156\) −2.88844 5.53687i −0.231261 0.443304i
\(157\) 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
\(159\) 10.6408 2.91999i 0.843872 0.231570i
\(160\) −1.52373 + 0.879726i −0.120461 + 0.0695484i
\(161\) −1.96683 1.96683i −0.155008 0.155008i
\(162\) −2.11933 + 8.74691i −0.166510 + 0.687222i
\(163\) 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
\(165\) −4.75989 1.24474i −0.370557 0.0969028i
\(166\) 0.344063 + 0.198645i 0.0267044 + 0.0154178i
\(167\) 2.82021 + 10.5252i 0.218235 + 0.814462i 0.985003 + 0.172538i \(0.0551969\pi\)
−0.766768 + 0.641924i \(0.778136\pi\)
\(168\) 1.21735 1.23210i 0.0939204 0.0950584i
\(169\) 10.5716 + 7.56579i 0.813200 + 0.581984i
\(170\) 9.15986i 0.702529i
\(171\) 5.47032 1.53661i 0.418325 0.117507i
\(172\) −1.67894 + 2.90801i −0.128018 + 0.221734i
\(173\) 11.6732 + 20.2185i 0.887494 + 1.53718i 0.842828 + 0.538182i \(0.180889\pi\)
0.0446655 + 0.999002i \(0.485778\pi\)
\(174\) −0.0690542 11.4677i −0.00523498 0.869368i
\(175\) 1.83944 + 0.492877i 0.139049 + 0.0372580i
\(176\) 1.55943 + 0.417849i 0.117547 + 0.0314965i
\(177\) −0.0611938 10.1624i −0.00459961 0.763852i
\(178\) −4.27349 7.40191i −0.320312 0.554797i
\(179\) 4.07847 7.06412i 0.304839 0.527997i −0.672386 0.740200i \(-0.734731\pi\)
0.977225 + 0.212204i \(0.0680640\pi\)
\(180\) −5.08168 + 1.42744i −0.378766 + 0.106395i
\(181\) 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
\(186\) −4.48036 1.17164i −0.328516 0.0859088i
\(187\) −5.94319 + 5.94319i −0.434609 + 0.434609i
\(188\) −2.03167 + 7.58229i −0.148175 + 0.552995i
\(189\) 4.45234 2.67894i 0.323860 0.194864i
\(190\) 2.35638 + 2.35638i 0.170950 + 0.170950i
\(191\) −15.9945 + 9.23445i −1.15732 + 0.668181i −0.950661 0.310231i \(-0.899594\pi\)
−0.206663 + 0.978412i \(0.566260\pi\)
\(192\) 1.67030 0.458354i 0.120544 0.0330788i
\(193\) −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
\(195\) 8.09457 7.43029i 0.579664 0.532094i
\(196\) −1.00000 −0.0714286
\(197\) 15.8323 4.24225i 1.12800 0.302248i 0.353886 0.935289i \(-0.384860\pi\)
0.774119 + 0.633041i \(0.218193\pi\)
\(198\) 4.22331 + 2.37098i 0.300137 + 0.168498i
\(199\) 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
\(201\) −11.8847 + 6.95737i −0.838280 + 0.490735i
\(202\) −1.64797 + 6.15032i −0.115951 + 0.432735i
\(203\) −4.68177 + 4.68177i −0.328596 + 0.328596i
\(204\) −2.28134 + 8.72385i −0.159726 + 0.610792i
\(205\) 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
\(210\) 2.64830 + 1.50781i 0.182750 + 0.104049i
\(211\) −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
\(213\) −1.42816 + 0.00859981i −0.0978560 + 0.000589249i
\(214\) −8.68873 2.32814i −0.593950 0.159148i
\(215\) −5.70672 1.52911i −0.389195 0.104285i
\(216\) 5.19530 0.0938612i 0.353496 0.00638644i
\(217\) 1.33686 + 2.31551i 0.0907521 + 0.157187i
\(218\) −8.18319 + 14.1737i −0.554236 + 0.959964i
\(219\) 5.63213 9.89222i 0.380584 0.668454i
\(220\) 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
\(225\) 2.91587 + 4.91283i 0.194391 + 0.327522i
\(226\) −14.3658 + 14.3658i −0.955599 + 0.955599i
\(227\) −5.08068 + 18.9614i −0.337216 + 1.25851i 0.564230 + 0.825618i \(0.309173\pi\)
−0.901446 + 0.432891i \(0.857493\pi\)
\(228\) −1.65734 2.83109i −0.109760 0.187493i
\(229\) −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
\(231\) −0.739986 2.69661i −0.0486875 0.177424i
\(232\) −6.39542 + 1.71365i −0.419880 + 0.112507i
\(233\) −18.2030 −1.19252 −0.596259 0.802792i \(-0.703347\pi\)
−0.596259 + 0.802792i \(0.703347\pi\)
\(234\) −9.55984 + 5.06059i −0.624946 + 0.330821i
\(235\) −13.8113 −0.900949
\(236\) −5.66744 + 1.51859i −0.368919 + 0.0988515i
\(237\) 6.42086 + 23.3985i 0.417080 + 1.51990i
\(238\) 4.50861 2.60304i 0.292250 0.168730i
\(239\) 4.35347 + 4.35347i 0.281603 + 0.281603i 0.833748 0.552145i \(-0.186191\pi\)
−0.552145 + 0.833748i \(0.686191\pi\)
\(240\) 1.53959 + 2.62995i 0.0993804 + 0.169763i
\(241\) 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
\(243\) 15.1719 + 3.57949i 0.973279 + 0.229624i
\(244\) 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
\(249\) 0.340468 0.597995i 0.0215763 0.0378964i
\(250\) −6.07392 + 10.5203i −0.384148 + 0.665364i
\(251\) −1.20372 2.08490i −0.0759778 0.131597i 0.825533 0.564353i \(-0.190874\pi\)
−0.901511 + 0.432756i \(0.857541\pi\)
\(252\) −2.14671 2.09562i −0.135230 0.132012i
\(253\) −4.33759 1.16225i −0.272702 0.0730702i
\(254\) −0.156398 0.0419068i −0.00981331 0.00262947i
\(255\) −15.8651 + 0.0955330i −0.993509 + 0.00598251i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −7.74931 + 13.4222i −0.483389 + 0.837254i −0.999818 0.0190759i \(-0.993928\pi\)
0.516429 + 0.856330i \(0.327261\pi\)
\(258\) 5.05425 + 2.87763i 0.314664 + 0.179154i
\(259\) 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 0.449832 0.893113i \(-0.351484\pi\)
−0.548542 + 0.836123i \(0.684817\pi\)
\(264\) 0.707458 2.70533i 0.0435410 0.166501i
\(265\) 7.92578 7.92578i 0.486877 0.486877i
\(266\) −0.490206 + 1.82947i −0.0300565 + 0.112172i
\(267\) −12.7757 + 7.47897i −0.781859 + 0.457706i
\(268\) 5.62214 + 5.62214i 0.343427 + 0.343427i
\(269\) 17.2653 9.96813i 1.05268 0.607767i 0.129285 0.991608i \(-0.458732\pi\)
0.923400 + 0.383840i \(0.125399\pi\)
\(270\) 2.52535 + 8.78668i 0.153688 + 0.534740i
\(271\) −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
\(273\) 5.95759 + 1.87272i 0.360570 + 0.113342i
\(274\) 6.53680 0.394902
\(275\) 2.96967 0.795722i 0.179078 0.0479838i
\(276\) −4.64597 + 1.27492i −0.279655 + 0.0767410i
\(277\) −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
\(279\) −1.98258 + 7.77230i −0.118694 + 0.465315i
\(280\) 0.455380 1.69950i 0.0272141 0.101565i
\(281\) 14.6432 14.6432i 0.873542 0.873542i −0.119315 0.992857i \(-0.538070\pi\)
0.992857 + 0.119315i \(0.0380697\pi\)
\(282\) 13.1539 + 3.43981i 0.783301 + 0.204838i
\(283\) 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
\(288\) −0.811298 2.88822i −0.0478062 0.170190i
\(289\) −5.05169 + 8.74978i −0.297158 + 0.514693i
\(290\) −5.82469 10.0887i −0.342038 0.592426i
\(291\) −0.0111506 1.85177i −0.000653659 0.108552i
\(292\) −6.34815 1.70098i −0.371497 0.0995424i
\(293\) −14.3768 3.85226i −0.839903 0.225051i −0.186873 0.982384i \(-0.559835\pi\)
−0.653029 + 0.757333i \(0.726502\pi\)
\(294\) 0.0104295 + 1.73202i 0.000608262 + 0.101013i
\(295\) −5.16167 8.94028i −0.300524 0.520523i
\(296\) 0.112160 0.194268i 0.00651920 0.0112916i
\(297\) 4.06253 7.33958i 0.235732 0.425886i
\(298\) 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
\(303\) 10.6697 + 2.79018i 0.612956 + 0.160291i
\(304\) −1.33927 + 1.33927i −0.0768123 + 0.0768123i
\(305\) −3.20240 + 11.9515i −0.183369 + 0.684343i
\(306\) 15.1337 + 3.86033i 0.865135 + 0.220681i
\(307\) 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
\(309\) −24.0645 + 6.60362i −1.36898 + 0.375667i
\(310\) −4.54399 + 1.21756i −0.258082 + 0.0691527i
\(311\) −18.9206 −1.07289 −0.536443 0.843936i \(-0.680233\pi\)
−0.536443 + 0.843936i \(0.680233\pi\)
\(312\) 4.22307 + 4.60062i 0.239084 + 0.260459i
\(313\) −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
\(315\) 2.58394 4.60264i 0.145588 0.259329i
\(316\) 12.1317 7.00426i 0.682464 0.394021i
\(317\) 8.14809 + 8.14809i 0.457642 + 0.457642i 0.897881 0.440239i \(-0.145106\pi\)
−0.440239 + 0.897881i \(0.645106\pi\)
\(318\) −9.52250 + 5.57454i −0.533995 + 0.312604i
\(319\) −2.76659 + 10.3250i −0.154899 + 0.578092i
\(320\) 1.24412 1.24412i 0.0695484 0.0695484i
\(321\) −3.94176 + 15.0733i −0.220008 + 0.841312i
\(322\) 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
\(327\) 24.6345 + 14.0256i 1.36229 + 0.775619i
\(328\) −0.166101 + 0.287695i −0.00917139 + 0.0158853i
\(329\) −3.92488 6.79810i −0.216386 0.374791i
\(330\) 4.91986 0.0296254i 0.270830 0.00163083i
\(331\) −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
\(333\) 0.470092 0.481553i 0.0257609 0.0263889i
\(334\) −5.44823 9.43661i −0.298114 0.516348i
\(335\) −6.99461 + 12.1150i −0.382156 + 0.661914i
\(336\) −0.856977 + 1.50519i −0.0467520 + 0.0821147i
\(337\) 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
\(342\) −4.88622 + 2.90007i −0.264216 + 0.156818i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) 0.869084 3.24347i 0.0468579 0.174876i
\(345\) −4.28240 7.31526i −0.230557 0.393840i
\(346\) −16.5083 16.5083i −0.887494 0.887494i
\(347\) 18.7796 10.8424i 1.00814 0.582051i 0.0974953 0.995236i \(-0.468917\pi\)
0.910647 + 0.413185i \(0.135584\pi\)
\(348\) 3.03477 + 11.0591i 0.162681 + 0.592831i
\(349\) 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
\(351\) 8.86474 + 16.5050i 0.473165 + 0.880974i
\(352\) −1.61444 −0.0860501
\(353\) −6.73165 + 1.80374i −0.358290 + 0.0960034i −0.433474 0.901166i \(-0.642712\pi\)
0.0751840 + 0.997170i \(0.476046\pi\)
\(354\) 2.68933 + 9.80028i 0.142936 + 0.520879i
\(355\) −1.25641 + 0.725390i −0.0666835 + 0.0384997i
\(356\) 6.04363 + 6.04363i 0.320312 + 0.320312i
\(357\) −4.55555 7.78184i −0.241105 0.411859i
\(358\) −2.11117 + 7.87900i −0.111579 + 0.416418i
\(359\) −11.9714 + 11.9714i −0.631828 + 0.631828i −0.948526 0.316698i \(-0.897426\pi\)
0.316698 + 0.948526i \(0.397426\pi\)
\(360\) 4.53908 2.69404i 0.239230 0.141988i
\(361\) −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
\(366\) 6.02659 10.5851i 0.315015 0.553290i
\(367\) −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
\(369\) −0.696169 + 0.713142i −0.0362411 + 0.0371247i
\(370\) 0.381233 + 0.102151i 0.0198194 + 0.00531059i
\(371\) 6.15352 + 1.64883i 0.319475 + 0.0856030i
\(372\) 4.63094 0.0278857i 0.240103 0.00144580i
\(373\) −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
\(375\) 18.2848 + 10.4104i 0.944221 + 0.537592i
\(376\) 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
\(381\) −0.0709523 + 0.271322i −0.00363499 + 0.0139002i
\(382\) 13.0595 13.0595i 0.668181 0.668181i
\(383\) 5.05932 18.8817i 0.258519 0.964807i −0.707579 0.706634i \(-0.750213\pi\)
0.966099 0.258173i \(-0.0831206\pi\)
\(384\) −1.49476 + 0.875042i −0.0762791 + 0.0446543i
\(385\) −2.00856 2.00856i −0.102366 0.102366i
\(386\) 22.1224 12.7724i 1.12600 0.650097i
\(387\) 4.93140 8.78406i 0.250677 0.446519i
\(388\) −1.03271 + 0.276713i −0.0524278 + 0.0140480i
\(389\) −28.7778 −1.45909 −0.729545 0.683932i \(-0.760268\pi\)
−0.729545 + 0.683932i \(0.760268\pi\)
\(390\) −5.89565 + 9.27213i −0.298538 + 0.469513i
\(391\) −14.4808 −0.732326
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) 6.61273 1.81462i 0.333568 0.0915356i
\(394\) −14.1949 + 8.19540i −0.715126 + 0.412878i
\(395\) 17.4283 + 17.4283i 0.876913 + 0.876913i
\(396\) −4.69306 1.19712i −0.235835 0.0601573i
\(397\) 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
\(399\) 3.17380 + 0.829966i 0.158889 + 0.0415503i
\(400\) −1.64920 0.952165i −0.0824599 0.0476082i
\(401\) −5.35398 19.9813i −0.267365 0.997819i −0.960787 0.277288i \(-0.910565\pi\)
0.693422 0.720532i \(-0.256102\pi\)
\(402\) 9.67901 9.79628i 0.482745 0.488594i
\(403\) −8.57382 + 4.40727i −0.427092 + 0.219542i
\(404\) 6.36728i 0.316784i
\(405\) 15.1924 4.46560i 0.754914 0.221897i
\(406\) 3.31051 5.73398i 0.164298 0.284573i
\(407\) −0.181077 0.313634i −0.00897564 0.0155463i
\(408\) −0.0542970 9.01705i −0.00268810 0.446410i
\(409\) 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
\(411\) −0.0681756 11.3219i −0.00336286 0.558466i
\(412\) 7.20363 + 12.4770i 0.354897 + 0.614700i
\(413\) 2.93368 5.08129i 0.144357 0.250034i
\(414\) 2.25664 + 8.03362i 0.110908 + 0.394831i
\(415\) 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 −0.223686 0.974661i \(-0.571809\pi\)
−0.955925 + 0.293613i \(0.905142\pi\)
\(420\) −2.94832 0.771001i −0.143863 0.0376210i
\(421\) 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
\(423\) 5.82063 22.8186i 0.283009 1.10948i
\(424\) 4.50469 + 4.50469i 0.218767 + 0.218767i
\(425\) 8.58587 4.95706i 0.416476 0.240453i
\(426\) 1.37727 0.377942i 0.0667290 0.0183114i
\(427\) −6.79276 + 1.82011i −0.328725 + 0.0880815i
\(428\) 8.99524 0.434801
\(429\) 9.84131 2.19076i 0.475143 0.105771i
\(430\) 5.90804 0.284911
\(431\) 33.0470 8.85490i 1.59182 0.426526i 0.649258 0.760568i \(-0.275080\pi\)
0.942558 + 0.334043i \(0.108413\pi\)
\(432\) −4.99399 + 1.43531i −0.240273 + 0.0690562i
\(433\) 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
\(435\) −17.4130 + 10.1937i −0.834890 + 0.488750i
\(436\) 4.23593 15.8087i 0.202864 0.757100i
\(437\) 3.72519 3.72519i 0.178200 0.178200i
\(438\) −2.87992 + 11.0129i −0.137608 + 0.526215i
\(439\) 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 \(-0.818973\pi\)
0.842594 0.538549i \(-0.181027\pi\)
\(444\) −0.337645 0.192238i −0.0160239 0.00912321i
\(445\) −7.51901 + 13.0233i −0.356435 + 0.617364i
\(446\) −4.14572 7.18060i −0.196305 0.340011i
\(447\) −17.8170 + 0.107287i −0.842714 + 0.00507448i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) −27.2761 7.30861i −1.28724 0.344914i −0.450627 0.892712i \(-0.648800\pi\)
−0.836611 + 0.547798i \(0.815466\pi\)
\(450\) −4.08805 3.99075i −0.192712 0.188126i
\(451\) 0.268161 + 0.464468i 0.0126272 + 0.0218709i
\(452\) 10.1582 17.5944i 0.477799 0.827573i
\(453\) 10.8746 19.1001i 0.510935 0.897401i
\(454\) 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
\(459\) 6.52834 26.2521i 0.304717 1.22534i
\(460\) −3.46054 + 3.46054i −0.161348 + 0.161348i
\(461\) −8.01540 + 29.9139i −0.373314 + 1.39323i 0.482478 + 0.875908i \(0.339737\pi\)
−0.855792 + 0.517320i \(0.826930\pi\)
\(462\) 1.41271 + 2.41320i 0.0657250 + 0.112272i
\(463\) 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
\(465\) 2.15623 + 7.85759i 0.0999927 + 0.364387i
\(466\) 17.5827 4.71128i 0.814504 0.218246i
\(467\) −18.7500 −0.867648 −0.433824 0.900998i \(-0.642836\pi\)
−0.433824 + 0.900998i \(0.642836\pi\)
\(468\) 7.92432 7.36242i 0.366302 0.340328i
\(469\) −7.95090 −0.367138
\(470\) 13.3407 3.57462i 0.615359 0.164885i
\(471\) 11.2787 + 41.1011i 0.519695 + 1.89384i
\(472\) 5.08129 2.93368i 0.233885 0.135034i
\(473\) −3.83331 3.83331i −0.176256 0.176256i
\(474\) −12.2580 20.9394i −0.563031 0.961777i
\(475\) −0.933514 + 3.48392i −0.0428326 + 0.159853i
\(476\) −3.68126 + 3.68126i −0.168730 + 0.168730i
\(477\) 9.75452 + 16.4350i 0.446629 + 0.752507i
\(478\) −5.33189 3.07837i −0.243875 0.140801i
\(479\) 11.1313 + 41.5425i 0.508601 + 1.89812i 0.434006 + 0.900910i \(0.357100\pi\)
0.0745944 + 0.997214i \(0.476234\pi\)
\(480\) −2.16782 2.14186i −0.0989468 0.0977623i
\(481\) 0.807839 + 0.0394405i 0.0368343 + 0.00179833i
\(482\) 10.5285i 0.479560i
\(483\) 2.38370 4.18670i 0.108462 0.190501i
\(484\) 4.19679 7.26905i 0.190763 0.330411i
\(485\) −0.940548 1.62908i −0.0427081 0.0739726i
\(486\) −15.5814 + 0.469260i −0.706786 + 0.0212861i
\(487\) 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
\(489\) 31.2684 0.188285i 1.41400 0.00851456i
\(490\) 0.879726 + 1.52373i 0.0397420 + 0.0688351i
\(491\) 14.9710 25.9305i 0.675630 1.17023i −0.300654 0.953733i \(-0.597205\pi\)
0.976284 0.216493i \(-0.0694618\pi\)
\(492\) 0.500026 + 0.284690i 0.0225429 + 0.0128348i
\(493\) 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
\(498\) −0.174094 + 0.665739i −0.00780136 + 0.0298325i
\(499\) −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
\(501\) −16.2876 + 9.53486i −0.727675 + 0.425986i
\(502\) 1.70231 + 1.70231i 0.0759778 + 0.0759778i
\(503\) −6.62590 + 3.82546i −0.295434 + 0.170569i −0.640390 0.768050i \(-0.721227\pi\)
0.344956 + 0.938619i \(0.387894\pi\)
\(504\) 2.61595 + 1.46860i 0.116524 + 0.0654168i
\(505\) 10.8212 2.89953i 0.481537 0.129027i
\(506\) 4.49060 0.199631
\(507\) −7.79162 + 21.1256i −0.346038 + 0.938220i
\(508\) 0.161915 0.00718384
\(509\) −15.4835 + 4.14878i −0.686293 + 0.183892i −0.585083 0.810973i \(-0.698938\pi\)
−0.101210 + 0.994865i \(0.532271\pi\)
\(510\) 15.2997 4.19846i 0.677484 0.185911i
\(511\) 5.69159 3.28604i 0.251781 0.145366i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 5.07394 + 8.43277i 0.224020 + 0.372316i
\(514\) 4.01134 14.9705i 0.176933 0.660321i
\(515\) −17.9244 + 17.9244i −0.789842 + 0.789842i
\(516\) −5.62681 1.47144i −0.247707 0.0647767i
\(517\) −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 \(-0.853541\pi\)
0.896001 0.444052i \(-0.146459\pi\)
\(522\) 19.1230 5.37163i 0.836989 0.235110i
\(523\) −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
\(525\) 0.0198612 + 3.29834i 0.000866816 + 0.143951i
\(526\) 1.78547 + 0.478416i 0.0778503 + 0.0208599i
\(527\) 13.4453 + 3.60267i 0.585689 + 0.156935i
\(528\) 0.0168379 + 2.79625i 0.000732775 + 0.121691i
\(529\) 7.63159 + 13.2183i 0.331808 + 0.574709i
\(530\) −5.60438 + 9.70706i −0.243439 + 0.421648i
\(531\) 16.9462 4.76018i 0.735404 0.206574i
\(532\) 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
\(537\) 13.6686 + 3.57441i 0.589843 + 0.154247i
\(538\) −14.0971 + 14.0971i −0.607767 + 0.607767i
\(539\) 0.417849 1.55943i 0.0179980 0.0671695i
\(540\) −4.71346 7.83367i −0.202835 0.337107i
\(541\) 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
\(543\) 29.0857 7.98150i 1.24818 0.342519i
\(544\) −5.02870 + 1.34744i −0.215604 + 0.0577708i
\(545\) 28.7959 1.23348
\(546\) −6.23929 0.266967i −0.267017 0.0114251i
\(547\) −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
\(549\) −18.3964 10.3278i −0.785138 0.440779i
\(550\) −2.66254 + 1.53722i −0.113531 + 0.0655471i
\(551\) −8.86733 8.86733i −0.377761 0.377761i
\(552\) 4.15769 2.43394i 0.176963 0.103595i
\(553\) −3.62567 + 13.5312i −0.154179 + 0.575405i
\(554\) 2.88860 2.88860i 0.122725 0.122725i
\(555\) 0.172952 0.661369i 0.00734139 0.0280736i
\(556\) 11.9470 + 6.89758i 0.506664 + 0.292522i
\(557\) 2.79836 + 10.4436i 0.118570 + 0.442510i 0.999529 0.0306824i \(-0.00976805\pi\)
−0.880959 + 0.473193i \(0.843101\pi\)
\(558\) −0.0965970 8.02059i −0.00408928 0.339539i
\(559\) 11.8334 2.55953i 0.500499 0.108257i
\(560\) 1.75945i 0.0743504i
\(561\) −12.6510 7.20284i −0.534126 0.304104i
\(562\) −10.3543 + 17.9342i −0.436771 + 0.756510i
\(563\) −19.7857 34.2698i −0.833867 1.44430i −0.894950 0.446166i \(-0.852789\pi\)
0.0610835 0.998133i \(-0.480544\pi\)
\(564\) −13.5959 + 0.0818693i −0.572493 + 0.00344732i
\(565\) 34.5276 + 9.25163i 1.45259 + 0.389219i
\(566\) −12.6859 3.39919i −0.533230 0.142879i
\(567\) 6.51538 + 6.20885i 0.273620 + 0.260747i
\(568\) −0.412282 0.714094i −0.0172990 0.0299627i
\(569\) −14.3841 + 24.9139i −0.603011 + 1.04445i 0.389352 + 0.921089i \(0.372699\pi\)
−0.992362 + 0.123356i \(0.960634\pi\)
\(570\) −2.85581 + 5.01592i −0.119617 + 0.210094i
\(571\) 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
\(576\) 1.53118 + 2.57982i 0.0637991 + 0.107493i
\(577\) −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
\(579\) −22.3527 38.1832i −0.928948 1.58684i
\(580\) 8.23735 + 8.23735i 0.342038 + 0.342038i
\(581\) 0.344063 0.198645i 0.0142741 0.00824117i
\(582\) 0.490043 + 1.78578i 0.0203129 + 0.0740231i
\(583\) 9.93451 2.66194i 0.411445 0.110246i
\(584\) 6.57209 0.271955
\(585\) 16.1210 + 10.1147i 0.666521 + 0.418190i
\(586\) 14.8840 0.614851
\(587\) −9.19776 + 2.46453i −0.379632 + 0.101722i −0.443588 0.896231i \(-0.646295\pi\)
0.0639564 + 0.997953i \(0.479628\pi\)
\(588\) −0.458354 1.67030i −0.0189022 0.0688821i
\(589\) −4.38561 + 2.53203i −0.180706 + 0.104331i
\(590\) 7.29971 + 7.29971i 0.300524 + 0.300524i
\(591\) 14.3426 + 24.5003i 0.589977 + 1.00781i
\(592\) −0.0580585 + 0.216677i −0.00238619 + 0.00890539i
\(593\) −28.7125 + 28.7125i −1.17908 + 1.17908i −0.199103 + 0.979979i \(0.563803\pi\)
−0.979979 + 0.199103i \(0.936197\pi\)
\(594\) −2.02448 + 8.14095i −0.0830655 + 0.334027i
\(595\) −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 \(-0.916399\pi\)
0.965708 0.259631i \(-0.0836009\pi\)
\(600\) −1.63197 + 2.86637i −0.0666248 + 0.117019i
\(601\) −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
\(603\) −17.0683 16.6621i −0.695075 0.678532i
\(604\) −12.2571 3.28429i −0.498736 0.133636i
\(605\) 14.2649 + 3.82226i 0.579950 + 0.155397i
\(606\) −11.0283 + 0.0664077i −0.447992 + 0.00269763i
\(607\) 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
\(609\) −9.96589 5.67407i −0.403838 0.229925i
\(610\) 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
\(615\) −0.256128 + 0.979437i −0.0103281 + 0.0394947i
\(616\) 1.14158 1.14158i 0.0459957 0.0459957i
\(617\) 7.52415 28.0805i 0.302911 1.13048i −0.631818 0.775117i \(-0.717691\pi\)
0.934729 0.355362i \(-0.115642\pi\)
\(618\) 21.5354 12.6070i 0.866279 0.507126i
\(619\) −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
\(621\) 13.8908 3.99233i 0.557420 0.160207i
\(622\) 18.2759 4.89700i 0.732795 0.196352i
\(623\) −8.54699 −0.342428
\(624\) −5.26990 3.35085i −0.210965 0.134141i
\(625\) 11.8519 0.474075
\(626\) 11.1490 2.98736i 0.445603 0.119399i
\(627\) 5.10741 1.40154i 0.203970 0.0559722i
\(628\) 21.3103 12.3035i 0.850373 0.490963i
\(629\) −0.825784 0.825784i −0.0329262 0.0329262i
\(630\) −1.30464 + 5.11458i −0.0519781 + 0.203770i
\(631\) −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
\(633\) −19.0312 4.97676i −0.756421 0.197808i
\(634\) −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
\(639\) −0.668967 2.38152i −0.0264639 0.0942115i
\(640\) −0.879726 + 1.52373i −0.0347742 + 0.0602307i
\(641\) 4.09868 + 7.09912i 0.161888 + 0.280398i 0.935546 0.353205i \(-0.114908\pi\)
−0.773658 + 0.633604i \(0.781575\pi\)
\(642\) −0.0938161 15.5799i −0.00370262 0.614891i
\(643\) −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
\(645\) −0.0616180 10.2328i −0.00242621 0.402917i
\(646\) 4.93020 + 8.53935i 0.193976 + 0.335976i
\(647\) 4.25423 7.36854i 0.167251 0.289687i −0.770201 0.637801i \(-0.779844\pi\)
0.937452 + 0.348114i \(0.113178\pi\)
\(648\) 2.53806 + 8.63471i 0.0997046 + 0.339203i
\(649\) 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 0.937775 0.347243i \(-0.112882\pi\)
0.168166 + 0.985759i \(0.446216\pi\)
\(654\) −27.4252 7.17184i −1.07241 0.280441i
\(655\) 4.92547 4.92547i 0.192454 0.192454i
\(656\) 0.0859802 0.320883i 0.00335696 0.0125284i
\(657\) 19.1045 + 4.87323i 0.745338 + 0.190123i
\(658\) 5.55062 + 5.55062i 0.216386 + 0.216386i
\(659\) −10.4010 + 6.00501i −0.405164 + 0.233922i −0.688710 0.725037i \(-0.741823\pi\)
0.283545 + 0.958959i \(0.408489\pi\)
\(660\) −4.74456 + 1.30197i −0.184682 + 0.0506791i
\(661\) −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
\(663\) 28.8254 15.0375i 1.11949 0.584008i
\(664\) 0.397289 0.0154178
\(665\) 3.21887 0.862494i 0.124823 0.0334461i
\(666\) −0.329439 + 0.586813i −0.0127655 + 0.0227385i
\(667\) −15.9491 + 9.20824i −0.617553 + 0.356545i
\(668\) 7.70496 + 7.70496i 0.298114 + 0.298114i
\(669\) −12.3937 + 7.25536i −0.479168 + 0.280508i
\(670\) 3.62068 13.5126i 0.139879 0.522035i
\(671\) −8.02806 + 8.02806i −0.309920 + 0.309920i
\(672\) 0.438205 1.67570i 0.0169041 0.0646416i
\(673\) −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 \(0.124705\pi\)
−0.924234 + 0.381828i \(0.875295\pi\)
\(678\) −30.5799 17.4106i −1.17441 0.668651i
\(679\) 0.534569 0.925900i 0.0205149 0.0355328i
\(680\) −4.57993 7.93267i −0.175632 0.304204i
\(681\) −33.9999 + 0.204734i −1.30288 + 0.00784542i
\(682\) −4.16949 1.11721i −0.159658 0.0427803i
\(683\) 16.3364 + 4.37732i 0.625094 + 0.167494i 0.557443 0.830215i \(-0.311783\pi\)
0.0676518 + 0.997709i \(0.478449\pi\)
\(684\) 3.96913 4.06590i 0.151763 0.155464i
\(685\) −5.75059 9.96031i −0.219719 0.380564i
\(686\) −0.500000 + 0.866025i −0.0190901 + 0.0330650i
\(687\) 7.74555 13.6042i 0.295511 0.519033i
\(688\) 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
\(693\) 4.16498 2.47200i 0.158215 0.0939036i
\(694\) −15.3335 + 15.3335i −0.582051 + 0.582051i
\(695\) −6.28203 + 23.4449i −0.238291 + 0.889314i
\(696\) −5.79368 9.89683i −0.219609 0.375139i
\(697\) 1.22292 + 1.22292i 0.0463215 + 0.0463215i
\(698\) −13.5007 + 7.79465i −0.511010 + 0.295032i
\(699\) −8.34341 30.4045i −0.315577 1.15000i
\(700\) 1.83944 0.492877i 0.0695243 0.0186290i
\(701\) −21.3019 −0.804562 −0.402281 0.915516i \(-0.631783\pi\)
−0.402281 + 0.915516i \(0.631783\pi\)
\(702\) −12.8345 13.6483i −0.484407 0.515121i
\(703\) 0.424867 0.0160241
\(704\) 1.55943 0.417849i 0.0587733 0.0157483i
\(705\) −6.33045 23.0690i −0.238419 0.868830i
\(706\) 6.03543 3.48456i 0.227147 0.131143i
\(707\) 4.50235 + 4.50235i 0.169328 + 0.169328i
\(708\) −5.13419 8.77029i −0.192955 0.329608i
\(709\) 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
\(711\) −36.1395 + 21.4496i −1.35534 + 0.804422i
\(712\) −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
\(717\) −5.27619 + 9.26705i −0.197043 + 0.346084i
\(718\) 8.46509 14.6620i 0.315914 0.547180i
\(719\) −8.47563 14.6802i −0.316088 0.547480i 0.663580 0.748105i \(-0.269036\pi\)
−0.979668 + 0.200625i \(0.935703\pi\)
\(720\) −3.68714 + 3.77704i −0.137412 + 0.140762i
\(721\) −13.9163 3.72887i −0.518272 0.138870i
\(722\) 14.8875 + 3.98911i 0.554057 + 0.148459i
\(723\) 18.2356 0.109807i 0.678188 0.00408378i
\(724\) −8.70670 15.0804i −0.323582 0.560460i
\(725\) 6.30431 10.9194i 0.234136 0.405536i
\(726\) −12.6339 7.19310i −0.468888 0.266961i
\(727\) 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
\(732\) −3.08163 + 11.7842i −0.113900 + 0.435556i
\(733\) 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
\(735\) 2.62995 1.53959i 0.0970073 0.0567888i
\(736\) −1.96683 1.96683i −0.0724982 0.0724982i
\(737\) −11.1165 + 6.41814i −0.409483 + 0.236415i
\(738\) 0.487873 0.869025i 0.0179589 0.0319892i
\(739\) 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
\(741\) −3.54695 + 11.2838i −0.130300 + 0.414519i
\(742\) −6.37059 −0.233872
\(743\) −7.78184 + 2.08514i −0.285488 + 0.0764963i −0.398721 0.917072i \(-0.630546\pi\)
0.113233 + 0.993568i \(0.463879\pi\)
\(744\) −4.46593 + 1.22551i −0.163729 + 0.0449294i
\(745\) −15.6743 + 9.04958i −0.574263 + 0.331551i
\(746\) 19.0843 + 19.0843i 0.698727 + 0.698727i
\(747\) 1.15489 + 0.294592i 0.0422551 + 0.0107785i
\(748\) −2.17536 + 8.11855i −0.0795390 + 0.296844i
\(749\) −6.36060 + 6.36060i −0.232411 + 0.232411i
\(750\) −20.3561 5.32325i −0.743301 0.194378i
\(751\) 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
\(756\) 2.51637 4.54620i 0.0915194 0.165344i
\(757\) −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
\(759\) −0.0468348 7.77780i −0.00170000 0.282316i
\(760\) 3.21887 + 0.862494i 0.116761 + 0.0312860i
\(761\) −1.98329 0.531420i −0.0718941 0.0192640i 0.222693 0.974889i \(-0.428515\pi\)
−0.294587 + 0.955625i \(0.595182\pi\)
\(762\) −0.00168870 0.280441i −6.11752e−5 0.0101593i
\(763\) 8.18319 + 14.1737i 0.296251 + 0.513123i
\(764\) −9.23445 + 15.9945i −0.334091 + 0.578662i
\(765\) −7.43138 26.4557i −0.268682 0.956507i
\(766\) 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
\(771\) −25.9711 6.79158i −0.935325 0.244593i
\(772\) −18.0629 + 18.0629i −0.650097 + 0.650097i
\(773\) −0.342643 + 1.27876i −0.0123240 + 0.0459938i −0.971814 0.235749i \(-0.924246\pi\)