Properties

Label 462.2.w.a.281.10
Level $462$
Weight $2$
Character 462.281
Analytic conductor $3.689$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 281.10
Character \(\chi\) \(=\) 462.281
Dual form 462.2.w.a.365.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.309017 + 0.951057i) q^{2} +(1.23159 - 1.21786i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.20361 + 0.391077i) q^{5} +(1.53884 + 0.794973i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.0336340 - 2.99981i) q^{9} +O(q^{10})\) \(q+(0.309017 + 0.951057i) q^{2} +(1.23159 - 1.21786i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.20361 + 0.391077i) q^{5} +(1.53884 + 0.794973i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.0336340 - 2.99981i) q^{9} +1.26555i q^{10} +(3.11275 + 1.14489i) q^{11} +(-0.280538 + 1.70918i) q^{12} +(-0.142725 + 0.0463742i) q^{13} +(-0.587785 + 0.809017i) q^{14} +(1.95863 - 0.984183i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.379364 + 1.16756i) q^{17} +(2.86338 - 0.895005i) q^{18} +(2.43237 - 3.34788i) q^{19} +(-1.20361 + 0.391077i) q^{20} +(1.70918 + 0.280538i) q^{21} +(-0.126956 + 3.31419i) q^{22} +7.98930i q^{23} +(-1.71222 + 0.261358i) q^{24} +(-2.74935 - 1.99752i) q^{25} +(-0.0882090 - 0.121409i) q^{26} +(-3.61193 - 3.73550i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(4.28495 - 3.11320i) q^{29} +(1.54126 + 1.55864i) q^{30} +(-1.38692 - 4.26849i) q^{31} +1.00000 q^{32} +(5.22795 - 2.38087i) q^{33} -1.22765 q^{34} +(0.391077 + 1.20361i) q^{35} +(1.73603 + 2.44667i) q^{36} +(-6.04544 + 4.39227i) q^{37} +(3.93566 + 1.27878i) q^{38} +(-0.119302 + 0.230933i) q^{39} +(-0.743872 - 1.02385i) q^{40} +(7.89214 + 5.73398i) q^{41} +(0.261358 + 1.71222i) q^{42} -4.38794i q^{43} +(-3.19122 + 0.903399i) q^{44} +(1.21364 - 3.59745i) q^{45} +(-7.59828 + 2.46883i) q^{46} +(-1.64278 + 2.26109i) q^{47} +(-0.777671 - 1.54765i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(1.05016 - 3.23205i) q^{50} +(0.954706 + 1.89997i) q^{51} +(0.0882090 - 0.121409i) q^{52} +(-5.52399 + 1.79485i) q^{53} +(2.43653 - 4.58948i) q^{54} +(3.29881 + 2.59532i) q^{55} -1.00000i q^{56} +(-1.08155 - 7.08551i) q^{57} +(4.28495 + 3.11320i) q^{58} +(-8.64390 - 11.8973i) q^{59} +(-1.00608 + 1.94748i) q^{60} +(-2.40987 - 0.783013i) q^{61} +(3.63099 - 2.63807i) q^{62} +(2.44667 - 1.73603i) q^{63} +(0.309017 + 0.951057i) q^{64} -0.189921 q^{65} +(3.87987 + 4.23635i) q^{66} -12.1494 q^{67} +(-0.379364 - 1.16756i) q^{68} +(9.72985 + 9.83955i) q^{69} +(-1.02385 + 0.743872i) q^{70} +(-5.97482 - 1.94134i) q^{71} +(-1.79046 + 2.40713i) q^{72} +(6.32399 + 8.70422i) q^{73} +(-6.04544 - 4.39227i) q^{74} +(-5.81877 + 0.888195i) q^{75} +4.13820i q^{76} +(0.903399 + 3.19122i) q^{77} +(-0.256497 - 0.0421004i) q^{78} +(-10.3548 + 3.36448i) q^{79} +(0.743872 - 1.02385i) q^{80} +(-8.99774 - 0.201791i) q^{81} +(-3.01453 + 9.27777i) q^{82} +(-3.01551 + 9.28079i) q^{83} +(-1.54765 + 0.777671i) q^{84} +(-0.913213 + 1.25693i) q^{85} +(4.17318 - 1.35595i) q^{86} +(1.48587 - 9.05266i) q^{87} +(-1.84532 - 2.75586i) q^{88} +1.07013i q^{89} +(3.79642 + 0.0425656i) q^{90} +(-0.121409 - 0.0882090i) q^{91} +(-4.69599 - 6.46348i) q^{92} +(-6.90654 - 3.56796i) q^{93} +(-2.65807 - 0.863658i) q^{94} +(4.23691 - 3.07830i) q^{95} +(1.23159 - 1.21786i) q^{96} +(-3.06249 - 9.42539i) q^{97} -1.00000 q^{98} +(3.53913 - 9.29917i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 12q^{2} - 4q^{3} - 12q^{4} + 6q^{6} - 12q^{8} + 10q^{9} + O(q^{10}) \) \( 48q - 12q^{2} - 4q^{3} - 12q^{4} + 6q^{6} - 12q^{8} + 10q^{9} - 8q^{11} + 6q^{12} + 36q^{15} - 12q^{16} - 24q^{17} + 30q^{19} - 8q^{22} - 4q^{24} + 18q^{25} - 20q^{26} - 22q^{27} + 8q^{29} - 24q^{30} - 32q^{31} + 48q^{32} - 14q^{33} - 4q^{34} + 6q^{35} - 10q^{36} - 20q^{37} + 20q^{38} - 6q^{39} + 22q^{44} + 12q^{45} + 20q^{46} + 20q^{47} - 4q^{48} + 12q^{49} + 28q^{50} + 8q^{51} + 20q^{52} + 20q^{53} + 18q^{54} + 16q^{55} - 2q^{57} + 8q^{58} + 30q^{59} - 4q^{60} - 20q^{61} + 8q^{62} + 4q^{63} - 12q^{64} - 14q^{66} + 36q^{67} - 24q^{68} - 70q^{69} - 4q^{70} + 10q^{72} - 20q^{73} - 20q^{74} - 30q^{75} - 16q^{77} - 16q^{78} - 20q^{79} + 26q^{81} - 10q^{82} - 46q^{83} - 10q^{84} + 10q^{85} - 30q^{86} + 8q^{87} - 8q^{88} - 38q^{90} - 36q^{91} + 10q^{92} - 36q^{93} + 50q^{95} - 4q^{96} - 2q^{97} - 48q^{98} + 70q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{9}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309017 + 0.951057i 0.218508 + 0.672499i
\(3\) 1.23159 1.21786i 0.711060 0.703132i
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) 1.20361 + 0.391077i 0.538271 + 0.174895i 0.565521 0.824734i \(-0.308675\pi\)
−0.0272501 + 0.999629i \(0.508675\pi\)
\(6\) 1.53884 + 0.794973i 0.628227 + 0.324547i
\(7\) 0.587785 + 0.809017i 0.222162 + 0.305780i
\(8\) −0.809017 0.587785i −0.286031 0.207813i
\(9\) 0.0336340 2.99981i 0.0112113 0.999937i
\(10\) 1.26555i 0.400202i
\(11\) 3.11275 + 1.14489i 0.938531 + 0.345196i
\(12\) −0.280538 + 1.70918i −0.0809844 + 0.493398i
\(13\) −0.142725 + 0.0463742i −0.0395848 + 0.0128619i −0.328742 0.944420i \(-0.606625\pi\)
0.289158 + 0.957281i \(0.406625\pi\)
\(14\) −0.587785 + 0.809017i −0.157092 + 0.216219i
\(15\) 1.95863 0.984183i 0.505717 0.254115i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −0.379364 + 1.16756i −0.0920093 + 0.283176i −0.986463 0.163986i \(-0.947565\pi\)
0.894453 + 0.447161i \(0.147565\pi\)
\(18\) 2.86338 0.895005i 0.674906 0.210955i
\(19\) 2.43237 3.34788i 0.558025 0.768056i −0.433049 0.901371i \(-0.642562\pi\)
0.991074 + 0.133315i \(0.0425622\pi\)
\(20\) −1.20361 + 0.391077i −0.269136 + 0.0874475i
\(21\) 1.70918 + 0.280538i 0.372974 + 0.0612184i
\(22\) −0.126956 + 3.31419i −0.0270672 + 0.706589i
\(23\) 7.98930i 1.66588i 0.553360 + 0.832942i \(0.313345\pi\)
−0.553360 + 0.832942i \(0.686655\pi\)
\(24\) −1.71222 + 0.261358i −0.349505 + 0.0533495i
\(25\) −2.74935 1.99752i −0.549869 0.399503i
\(26\) −0.0882090 0.121409i −0.0172992 0.0238103i
\(27\) −3.61193 3.73550i −0.695116 0.718898i
\(28\) −0.951057 0.309017i −0.179733 0.0583987i
\(29\) 4.28495 3.11320i 0.795695 0.578106i −0.113953 0.993486i \(-0.536351\pi\)
0.909648 + 0.415380i \(0.136351\pi\)
\(30\) 1.54126 + 1.55864i 0.281395 + 0.284568i
\(31\) −1.38692 4.26849i −0.249097 0.766643i −0.994935 0.100516i \(-0.967951\pi\)
0.745838 0.666127i \(-0.232049\pi\)
\(32\) 1.00000 0.176777
\(33\) 5.22795 2.38087i 0.910069 0.414456i
\(34\) −1.22765 −0.210540
\(35\) 0.391077 + 1.20361i 0.0661041 + 0.203447i
\(36\) 1.73603 + 2.44667i 0.289339 + 0.407778i
\(37\) −6.04544 + 4.39227i −0.993864 + 0.722085i −0.960764 0.277368i \(-0.910538\pi\)
−0.0331002 + 0.999452i \(0.510538\pi\)
\(38\) 3.93566 + 1.27878i 0.638449 + 0.207445i
\(39\) −0.119302 + 0.230933i −0.0191036 + 0.0369789i
\(40\) −0.743872 1.02385i −0.117617 0.161885i
\(41\) 7.89214 + 5.73398i 1.23255 + 0.895496i 0.997078 0.0763859i \(-0.0243381\pi\)
0.235467 + 0.971882i \(0.424338\pi\)
\(42\) 0.261358 + 1.71222i 0.0403285 + 0.264201i
\(43\) 4.38794i 0.669154i −0.942368 0.334577i \(-0.891407\pi\)
0.942368 0.334577i \(-0.108593\pi\)
\(44\) −3.19122 + 0.903399i −0.481094 + 0.136193i
\(45\) 1.21364 3.59745i 0.180919 0.536277i
\(46\) −7.59828 + 2.46883i −1.12030 + 0.364009i
\(47\) −1.64278 + 2.26109i −0.239623 + 0.329813i −0.911843 0.410538i \(-0.865341\pi\)
0.672220 + 0.740351i \(0.265341\pi\)
\(48\) −0.777671 1.54765i −0.112247 0.223384i
\(49\) −0.309017 + 0.951057i −0.0441453 + 0.135865i
\(50\) 1.05016 3.23205i 0.148515 0.457081i
\(51\) 0.954706 + 1.89997i 0.133686 + 0.266049i
\(52\) 0.0882090 0.121409i 0.0122324 0.0168364i
\(53\) −5.52399 + 1.79485i −0.758779 + 0.246542i −0.662755 0.748837i \(-0.730613\pi\)
−0.0960245 + 0.995379i \(0.530613\pi\)
\(54\) 2.43653 4.58948i 0.331569 0.624549i
\(55\) 3.29881 + 2.59532i 0.444811 + 0.349953i
\(56\) 1.00000i 0.133631i
\(57\) −1.08155 7.08551i −0.143255 0.938498i
\(58\) 4.28495 + 3.11320i 0.562641 + 0.408783i
\(59\) −8.64390 11.8973i −1.12534 1.54890i −0.796632 0.604465i \(-0.793387\pi\)
−0.328708 0.944432i \(-0.606613\pi\)
\(60\) −1.00608 + 1.94748i −0.129884 + 0.251418i
\(61\) −2.40987 0.783013i −0.308552 0.100255i 0.150648 0.988587i \(-0.451864\pi\)
−0.459200 + 0.888333i \(0.651864\pi\)
\(62\) 3.63099 2.63807i 0.461137 0.335035i
\(63\) 2.44667 1.73603i 0.308251 0.218720i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) −0.189921 −0.0235569
\(66\) 3.87987 + 4.23635i 0.477578 + 0.521458i
\(67\) −12.1494 −1.48428 −0.742142 0.670242i \(-0.766190\pi\)
−0.742142 + 0.670242i \(0.766190\pi\)
\(68\) −0.379364 1.16756i −0.0460047 0.141588i
\(69\) 9.72985 + 9.83955i 1.17134 + 1.18454i
\(70\) −1.02385 + 0.743872i −0.122374 + 0.0889098i
\(71\) −5.97482 1.94134i −0.709081 0.230394i −0.0677982 0.997699i \(-0.521597\pi\)
−0.641283 + 0.767305i \(0.721597\pi\)
\(72\) −1.79046 + 2.40713i −0.211007 + 0.283683i
\(73\) 6.32399 + 8.70422i 0.740166 + 1.01875i 0.998609 + 0.0527251i \(0.0167907\pi\)
−0.258443 + 0.966027i \(0.583209\pi\)
\(74\) −6.04544 4.39227i −0.702768 0.510591i
\(75\) −5.81877 + 0.888195i −0.671893 + 0.102560i
\(76\) 4.13820i 0.474684i
\(77\) 0.903399 + 3.19122i 0.102952 + 0.363673i
\(78\) −0.256497 0.0421004i −0.0290426 0.00476693i
\(79\) −10.3548 + 3.36448i −1.16501 + 0.378534i −0.826777 0.562529i \(-0.809828\pi\)
−0.338230 + 0.941063i \(0.609828\pi\)
\(80\) 0.743872 1.02385i 0.0831675 0.114470i
\(81\) −8.99774 0.201791i −0.999749 0.0224213i
\(82\) −3.01453 + 9.27777i −0.332899 + 1.02456i
\(83\) −3.01551 + 9.28079i −0.330995 + 1.01870i 0.637666 + 0.770313i \(0.279900\pi\)
−0.968661 + 0.248386i \(0.920100\pi\)
\(84\) −1.54765 + 0.777671i −0.168863 + 0.0848509i
\(85\) −0.913213 + 1.25693i −0.0990519 + 0.136333i
\(86\) 4.17318 1.35595i 0.450005 0.146216i
\(87\) 1.48587 9.05266i 0.159302 0.970547i
\(88\) −1.84532 2.75586i −0.196712 0.293776i
\(89\) 1.07013i 0.113433i 0.998390 + 0.0567166i \(0.0180632\pi\)
−0.998390 + 0.0567166i \(0.981937\pi\)
\(90\) 3.79642 + 0.0425656i 0.400177 + 0.00448681i
\(91\) −0.121409 0.0882090i −0.0127271 0.00924681i
\(92\) −4.69599 6.46348i −0.489591 0.673864i
\(93\) −6.90654 3.56796i −0.716174 0.369981i
\(94\) −2.65807 0.863658i −0.274159 0.0890795i
\(95\) 4.23691 3.07830i 0.434698 0.315826i
\(96\) 1.23159 1.21786i 0.125699 0.124297i
\(97\) −3.06249 9.42539i −0.310949 0.957003i −0.977390 0.211445i \(-0.932183\pi\)
0.666441 0.745558i \(-0.267817\pi\)
\(98\) −1.00000 −0.101015
\(99\) 3.53913 9.29917i 0.355696 0.934602i
\(100\) 3.39838 0.339838
\(101\) −0.471591 1.45141i −0.0469250 0.144420i 0.924849 0.380335i \(-0.124191\pi\)
−0.971774 + 0.235915i \(0.924191\pi\)
\(102\) −1.51196 + 1.49510i −0.149706 + 0.148037i
\(103\) 3.25945 2.36813i 0.321164 0.233339i −0.415508 0.909589i \(-0.636396\pi\)
0.736672 + 0.676250i \(0.236396\pi\)
\(104\) 0.142725 + 0.0463742i 0.0139954 + 0.00454737i
\(105\) 1.94748 + 1.00608i 0.190054 + 0.0981833i
\(106\) −3.41402 4.69899i −0.331599 0.456406i
\(107\) −2.67801 1.94569i −0.258893 0.188097i 0.450766 0.892642i \(-0.351151\pi\)
−0.709659 + 0.704545i \(0.751151\pi\)
\(108\) 5.11778 + 0.899048i 0.492459 + 0.0865109i
\(109\) 1.95947i 0.187683i −0.995587 0.0938414i \(-0.970085\pi\)
0.995587 0.0938414i \(-0.0299147\pi\)
\(110\) −1.44891 + 3.93935i −0.138148 + 0.375602i
\(111\) −2.09634 + 12.7720i −0.198976 + 1.21226i
\(112\) 0.951057 0.309017i 0.0898664 0.0291994i
\(113\) 10.7866 14.8465i 1.01472 1.39664i 0.0988740 0.995100i \(-0.468476\pi\)
0.915843 0.401538i \(-0.131524\pi\)
\(114\) 6.40450 3.21816i 0.599836 0.301408i
\(115\) −3.12443 + 9.61601i −0.291355 + 0.896697i
\(116\) −1.63671 + 5.03726i −0.151964 + 0.467698i
\(117\) 0.134313 + 0.429708i 0.0124173 + 0.0397265i
\(118\) 8.64390 11.8973i 0.795735 1.09524i
\(119\) −1.16756 + 0.379364i −0.107030 + 0.0347762i
\(120\) −2.16306 0.355035i −0.197459 0.0324101i
\(121\) 8.37848 + 7.12749i 0.761680 + 0.647954i
\(122\) 2.53388i 0.229407i
\(123\) 16.7031 2.54961i 1.50607 0.229890i
\(124\) 3.63099 + 2.63807i 0.326073 + 0.236906i
\(125\) −6.24732 8.59870i −0.558778 0.769091i
\(126\) 2.40713 + 1.79046i 0.214444 + 0.159506i
\(127\) −9.83031 3.19406i −0.872299 0.283427i −0.161543 0.986866i \(-0.551647\pi\)
−0.710756 + 0.703439i \(0.751647\pi\)
\(128\) −0.809017 + 0.587785i −0.0715077 + 0.0519534i
\(129\) −5.34389 5.40414i −0.470503 0.475808i
\(130\) −0.0586889 0.180626i −0.00514736 0.0158419i
\(131\) −3.13040 −0.273505 −0.136752 0.990605i \(-0.543666\pi\)
−0.136752 + 0.990605i \(0.543666\pi\)
\(132\) −2.83006 + 4.99908i −0.246325 + 0.435114i
\(133\) 4.13820 0.358828
\(134\) −3.75437 11.5548i −0.324328 0.998179i
\(135\) −2.88649 5.90863i −0.248429 0.508534i
\(136\) 0.993188 0.721593i 0.0851652 0.0618761i
\(137\) 0.810649 + 0.263396i 0.0692584 + 0.0225034i 0.343441 0.939174i \(-0.388407\pi\)
−0.274183 + 0.961678i \(0.588407\pi\)
\(138\) −6.35128 + 12.2942i −0.540657 + 1.04655i
\(139\) −4.49572 6.18783i −0.381322 0.524845i 0.574612 0.818426i \(-0.305153\pi\)
−0.955934 + 0.293581i \(0.905153\pi\)
\(140\) −1.02385 0.743872i −0.0865313 0.0628687i
\(141\) 0.730459 + 4.78540i 0.0615157 + 0.403004i
\(142\) 6.28230i 0.527199i
\(143\) −0.497361 0.0190524i −0.0415914 0.00159324i
\(144\) −2.84260 0.958981i −0.236883 0.0799150i
\(145\) 6.37491 2.07133i 0.529408 0.172015i
\(146\) −6.32399 + 8.70422i −0.523377 + 0.720366i
\(147\) 0.777671 + 1.54765i 0.0641412 + 0.127648i
\(148\) 2.30915 7.10684i 0.189811 0.584179i
\(149\) −0.275104 + 0.846682i −0.0225374 + 0.0693629i −0.961693 0.274130i \(-0.911610\pi\)
0.939155 + 0.343493i \(0.111610\pi\)
\(150\) −2.64282 5.25951i −0.215785 0.429437i
\(151\) 8.56766 11.7924i 0.697227 0.959650i −0.302752 0.953069i \(-0.597905\pi\)
0.999978 0.00658065i \(-0.00209470\pi\)
\(152\) −3.93566 + 1.27878i −0.319225 + 0.103722i
\(153\) 3.48971 + 1.17729i 0.282126 + 0.0951783i
\(154\) −2.75586 + 1.84532i −0.222074 + 0.148700i
\(155\) 5.67999i 0.456228i
\(156\) −0.0392221 0.256953i −0.00314028 0.0205727i
\(157\) 17.4409 + 12.6716i 1.39194 + 1.01130i 0.995650 + 0.0931775i \(0.0297024\pi\)
0.396290 + 0.918126i \(0.370298\pi\)
\(158\) −6.39963 8.80833i −0.509127 0.700753i
\(159\) −4.61742 + 8.93798i −0.366185 + 0.708828i
\(160\) 1.20361 + 0.391077i 0.0951538 + 0.0309173i
\(161\) −6.46348 + 4.69599i −0.509394 + 0.370096i
\(162\) −2.58854 8.61971i −0.203375 0.677229i
\(163\) −2.92839 9.01266i −0.229369 0.705926i −0.997819 0.0660154i \(-0.978971\pi\)
0.768449 0.639911i \(-0.221029\pi\)
\(164\) −9.75522 −0.761755
\(165\) 7.22352 0.821108i 0.562350 0.0639232i
\(166\) −9.75840 −0.757399
\(167\) 3.49984 + 10.7714i 0.270826 + 0.833517i 0.990294 + 0.138991i \(0.0443859\pi\)
−0.719468 + 0.694526i \(0.755614\pi\)
\(168\) −1.21786 1.23159i −0.0939599 0.0950193i
\(169\) −10.4990 + 7.62797i −0.807615 + 0.586767i
\(170\) −1.47761 0.480105i −0.113328 0.0368224i
\(171\) −9.96119 7.40927i −0.761751 0.566601i
\(172\) 2.57916 + 3.54991i 0.196659 + 0.270678i
\(173\) 13.8568 + 10.0675i 1.05351 + 0.765420i 0.972877 0.231324i \(-0.0743057\pi\)
0.0806333 + 0.996744i \(0.474306\pi\)
\(174\) 9.06875 1.38428i 0.687500 0.104942i
\(175\) 3.39838i 0.256893i
\(176\) 2.05074 2.60662i 0.154581 0.196481i
\(177\) −25.1350 4.12556i −1.88926 0.310096i
\(178\) −1.01775 + 0.330687i −0.0762837 + 0.0247861i
\(179\) −0.221144 + 0.304378i −0.0165291 + 0.0227503i −0.817202 0.576352i \(-0.804476\pi\)
0.800672 + 0.599102i \(0.204476\pi\)
\(180\) 1.13267 + 3.62376i 0.0844246 + 0.270099i
\(181\) −5.34329 + 16.4450i −0.397163 + 1.22234i 0.530100 + 0.847935i \(0.322154\pi\)
−0.927264 + 0.374409i \(0.877846\pi\)
\(182\) 0.0463742 0.142725i 0.00343749 0.0105795i
\(183\) −3.92157 + 1.97053i −0.289891 + 0.145666i
\(184\) 4.69599 6.46348i 0.346193 0.476494i
\(185\) −8.99407 + 2.92235i −0.661257 + 0.214856i
\(186\) 1.25910 7.67107i 0.0923216 0.562470i
\(187\) −2.51759 + 3.20001i −0.184105 + 0.234008i
\(188\) 2.79486i 0.203836i
\(189\) 0.899048 5.11778i 0.0653961 0.372264i
\(190\) 4.23691 + 3.07830i 0.307378 + 0.223323i
\(191\) 6.77637 + 9.32688i 0.490321 + 0.674869i 0.980447 0.196782i \(-0.0630492\pi\)
−0.490126 + 0.871652i \(0.663049\pi\)
\(192\) 1.53884 + 0.794973i 0.111056 + 0.0573723i
\(193\) −10.3428 3.36058i −0.744492 0.241900i −0.0878823 0.996131i \(-0.528010\pi\)
−0.656609 + 0.754231i \(0.728010\pi\)
\(194\) 8.01771 5.82521i 0.575638 0.418226i
\(195\) −0.233906 + 0.231298i −0.0167503 + 0.0165636i
\(196\) −0.309017 0.951057i −0.0220726 0.0679326i
\(197\) 9.73907 0.693880 0.346940 0.937887i \(-0.387221\pi\)
0.346940 + 0.937887i \(0.387221\pi\)
\(198\) 9.93769 + 0.492315i 0.706241 + 0.0349873i
\(199\) 19.1382 1.35667 0.678337 0.734751i \(-0.262701\pi\)
0.678337 + 0.734751i \(0.262701\pi\)
\(200\) 1.05016 + 3.23205i 0.0742573 + 0.228541i
\(201\) −14.9631 + 14.7963i −1.05541 + 1.04365i
\(202\) 1.23464 0.897019i 0.0868690 0.0631141i
\(203\) 5.03726 + 1.63671i 0.353546 + 0.114874i
\(204\) −1.88915 0.975947i −0.132267 0.0683300i
\(205\) 7.25664 + 9.98791i 0.506826 + 0.697586i
\(206\) 3.25945 + 2.36813i 0.227097 + 0.164996i
\(207\) 23.9664 + 0.268712i 1.66578 + 0.0186768i
\(208\) 0.150070i 0.0104055i
\(209\) 11.4043 7.63633i 0.788853 0.528216i
\(210\) −0.355035 + 2.16306i −0.0244998 + 0.149265i
\(211\) −0.412712 + 0.134098i −0.0284122 + 0.00923169i −0.323189 0.946335i \(-0.604755\pi\)
0.294776 + 0.955566i \(0.404755\pi\)
\(212\) 3.41402 4.69899i 0.234476 0.322728i
\(213\) −9.72281 + 4.88556i −0.666196 + 0.334753i
\(214\) 1.02291 3.14819i 0.0699246 0.215206i
\(215\) 1.71602 5.28137i 0.117032 0.360186i
\(216\) 0.726437 + 5.14512i 0.0494278 + 0.350081i
\(217\) 2.63807 3.63099i 0.179084 0.246488i
\(218\) 1.86356 0.605508i 0.126216 0.0410102i
\(219\) 18.3891 + 3.01831i 1.24262 + 0.203959i
\(220\) −4.19428 0.160670i −0.282778 0.0108324i
\(221\) 0.184233i 0.0123929i
\(222\) −12.7947 + 1.95302i −0.858723 + 0.131078i
\(223\) −14.7261 10.6992i −0.986136 0.716470i −0.0270643 0.999634i \(-0.508616\pi\)
−0.959071 + 0.283164i \(0.908616\pi\)
\(224\) 0.587785 + 0.809017i 0.0392731 + 0.0540547i
\(225\) −6.08465 + 8.18034i −0.405643 + 0.545356i
\(226\) 17.4531 + 5.67084i 1.16096 + 0.377219i
\(227\) 15.9273 11.5718i 1.05713 0.768049i 0.0835737 0.996502i \(-0.473367\pi\)
0.973555 + 0.228453i \(0.0733666\pi\)
\(228\) 5.03975 + 5.09657i 0.333766 + 0.337529i
\(229\) 3.02746 + 9.31756i 0.200060 + 0.615722i 0.999880 + 0.0154820i \(0.00492827\pi\)
−0.799820 + 0.600240i \(0.795072\pi\)
\(230\) −10.1109 −0.666691
\(231\) 4.99908 + 2.83006i 0.328915 + 0.186204i
\(232\) −5.29649 −0.347732
\(233\) 9.31781 + 28.6773i 0.610430 + 1.87871i 0.453945 + 0.891030i \(0.350016\pi\)
0.156485 + 0.987680i \(0.449984\pi\)
\(234\) −0.367172 + 0.260527i −0.0240028 + 0.0170312i
\(235\) −2.86152 + 2.07902i −0.186665 + 0.135620i
\(236\) 13.9861 + 4.54436i 0.910419 + 0.295813i
\(237\) −8.65543 + 16.7544i −0.562231 + 1.08831i
\(238\) −0.721593 0.993188i −0.0467739 0.0643788i
\(239\) −2.40266 1.74564i −0.155415 0.112916i 0.507360 0.861734i \(-0.330621\pi\)
−0.662775 + 0.748818i \(0.730621\pi\)
\(240\) −0.330762 2.16690i −0.0213506 0.139873i
\(241\) 4.21213i 0.271327i −0.990755 0.135664i \(-0.956683\pi\)
0.990755 0.135664i \(-0.0433166\pi\)
\(242\) −4.18956 + 10.1709i −0.269315 + 0.653812i
\(243\) −11.3273 + 10.7095i −0.726646 + 0.687012i
\(244\) 2.40987 0.783013i 0.154276 0.0501273i
\(245\) −0.743872 + 1.02385i −0.0475243 + 0.0654115i
\(246\) 7.58635 + 15.0977i 0.483688 + 0.962594i
\(247\) −0.191906 + 0.590626i −0.0122107 + 0.0375806i
\(248\) −1.38692 + 4.26849i −0.0880693 + 0.271049i
\(249\) 7.58882 + 15.1026i 0.480922 + 0.957089i
\(250\) 6.24732 8.59870i 0.395115 0.543830i
\(251\) 9.73610 3.16345i 0.614537 0.199675i 0.0148239 0.999890i \(-0.495281\pi\)
0.599713 + 0.800215i \(0.295281\pi\)
\(252\) −0.958981 + 2.84260i −0.0604101 + 0.179067i
\(253\) −9.14683 + 24.8687i −0.575056 + 1.56348i
\(254\) 10.3362i 0.648551i
\(255\) 0.406060 + 2.66019i 0.0254284 + 0.166588i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 16.0700 + 22.1184i 1.00242 + 1.37971i 0.923830 + 0.382803i \(0.125041\pi\)
0.0785877 + 0.996907i \(0.474959\pi\)
\(258\) 3.48829 6.75232i 0.217172 0.420381i
\(259\) −7.10684 2.30915i −0.441598 0.143484i
\(260\) 0.153650 0.111633i 0.00952895 0.00692319i
\(261\) −9.19489 12.9588i −0.569149 0.802127i
\(262\) −0.967348 2.97719i −0.0597630 0.183932i
\(263\) −19.8950 −1.22678 −0.613391 0.789780i \(-0.710195\pi\)
−0.613391 + 0.789780i \(0.710195\pi\)
\(264\) −5.62894 1.14675i −0.346437 0.0705775i
\(265\) −7.35067 −0.451548
\(266\) 1.27878 + 3.93566i 0.0784067 + 0.241311i
\(267\) 1.30326 + 1.31796i 0.0797585 + 0.0806578i
\(268\) 9.82907 7.14124i 0.600406 0.436220i
\(269\) 0.602463 + 0.195752i 0.0367328 + 0.0119352i 0.327326 0.944912i \(-0.393853\pi\)
−0.290593 + 0.956847i \(0.593853\pi\)
\(270\) 4.72747 4.57108i 0.287705 0.278187i
\(271\) 15.4216 + 21.2260i 0.936796 + 1.28939i 0.957149 + 0.289596i \(0.0935209\pi\)
−0.0203534 + 0.999793i \(0.506479\pi\)
\(272\) 0.993188 + 0.721593i 0.0602209 + 0.0437530i
\(273\) −0.256953 + 0.0392221i −0.0155515 + 0.00237383i
\(274\) 0.852366i 0.0514933i
\(275\) −6.27111 9.36547i −0.378162 0.564759i
\(276\) −13.6552 2.24130i −0.821944 0.134911i
\(277\) 26.8393 8.72062i 1.61262 0.523971i 0.642433 0.766342i \(-0.277925\pi\)
0.970184 + 0.242371i \(0.0779250\pi\)
\(278\) 4.49572 6.18783i 0.269635 0.371121i
\(279\) −12.8513 + 4.01692i −0.769388 + 0.240487i
\(280\) 0.391077 1.20361i 0.0233713 0.0719295i
\(281\) 1.44118 4.43549i 0.0859735 0.264599i −0.898823 0.438312i \(-0.855576\pi\)
0.984796 + 0.173713i \(0.0555765\pi\)
\(282\) −4.32547 + 2.17348i −0.257578 + 0.129429i
\(283\) 14.3709 19.7799i 0.854263 1.17579i −0.128644 0.991691i \(-0.541063\pi\)
0.982907 0.184101i \(-0.0589375\pi\)
\(284\) 5.97482 1.94134i 0.354540 0.115197i
\(285\) 1.46921 8.95116i 0.0870284 0.530221i
\(286\) −0.135573 0.478906i −0.00801661 0.0283183i
\(287\) 9.75522i 0.575833i
\(288\) 0.0336340 2.99981i 0.00198190 0.176766i
\(289\) 12.5340 + 9.10649i 0.737294 + 0.535676i
\(290\) 3.93991 + 5.42282i 0.231360 + 0.318439i
\(291\) −15.2505 7.87854i −0.894003 0.461848i
\(292\) −10.2324 3.32472i −0.598807 0.194564i
\(293\) 5.76112 4.18570i 0.336568 0.244531i −0.406644 0.913587i \(-0.633301\pi\)
0.743212 + 0.669056i \(0.233301\pi\)
\(294\) −1.23159 + 1.21786i −0.0718279 + 0.0710270i
\(295\) −5.75113 17.7001i −0.334844 1.03054i
\(296\) 7.47257 0.434335
\(297\) −6.96632 15.7629i −0.404227 0.914659i
\(298\) −0.890254 −0.0515711
\(299\) −0.370497 1.14027i −0.0214264 0.0659437i
\(300\) 4.18541 4.13875i 0.241645 0.238951i
\(301\) 3.54991 2.57916i 0.204614 0.148661i
\(302\) 13.8628 + 4.50429i 0.797713 + 0.259193i
\(303\) −2.34842 1.21321i −0.134913 0.0696970i
\(304\) −2.43237 3.34788i −0.139506 0.192014i
\(305\) −2.59432 1.88489i −0.148551 0.107928i
\(306\) −0.0412907 + 3.68271i −0.00236043 + 0.210527i
\(307\) 25.5876i 1.46036i 0.683253 + 0.730181i \(0.260564\pi\)
−0.683253 + 0.730181i \(0.739436\pi\)
\(308\) −2.60662 2.05074i −0.148526 0.116852i
\(309\) 1.13026 6.88613i 0.0642984 0.391738i
\(310\) 5.40199 1.75521i 0.306813 0.0996894i
\(311\) 3.00067 4.13007i 0.170152 0.234195i −0.715422 0.698693i \(-0.753765\pi\)
0.885574 + 0.464498i \(0.153765\pi\)
\(312\) 0.232256 0.116705i 0.0131489 0.00660713i
\(313\) 4.99132 15.3617i 0.282126 0.868294i −0.705120 0.709088i \(-0.749107\pi\)
0.987245 0.159206i \(-0.0508933\pi\)
\(314\) −6.66185 + 20.5031i −0.375950 + 1.15705i
\(315\) 3.62376 1.13267i 0.204176 0.0638190i
\(316\) 6.39963 8.80833i 0.360007 0.495507i
\(317\) −16.0129 + 5.20290i −0.899372 + 0.292224i −0.721978 0.691916i \(-0.756767\pi\)
−0.177394 + 0.984140i \(0.556767\pi\)
\(318\) −9.92739 1.62944i −0.556700 0.0913745i
\(319\) 16.9022 4.78485i 0.946344 0.267900i
\(320\) 1.26555i 0.0707465i
\(321\) −5.66779 + 0.865148i −0.316345 + 0.0482879i
\(322\) −6.46348 4.69599i −0.360196 0.261697i
\(323\) 2.98610 + 4.11001i 0.166151 + 0.228687i
\(324\) 7.39793 5.12548i 0.410996 0.284749i
\(325\) 0.485034 + 0.157597i 0.0269049 + 0.00874192i
\(326\) 7.66663 5.57013i 0.424615 0.308501i
\(327\) −2.38636 2.41326i −0.131966 0.133454i
\(328\) −3.01453 9.27777i −0.166450 0.512279i
\(329\) −2.79486 −0.154085
\(330\) 3.01311 + 6.61624i 0.165866 + 0.364212i
\(331\) −5.03168 −0.276566 −0.138283 0.990393i \(-0.544158\pi\)
−0.138283 + 0.990393i \(0.544158\pi\)
\(332\) −3.01551 9.28079i −0.165498 0.509349i
\(333\) 12.9726 + 18.2829i 0.710897 + 1.00190i
\(334\) −9.16271 + 6.65710i −0.501361 + 0.364260i
\(335\) −14.6231 4.75135i −0.798948 0.259594i
\(336\) 0.794973 1.53884i 0.0433694 0.0839504i
\(337\) −13.2501 18.2372i −0.721779 0.993444i −0.999463 0.0327711i \(-0.989567\pi\)
0.277684 0.960673i \(-0.410433\pi\)
\(338\) −10.4990 7.62797i −0.571070 0.414907i
\(339\) −4.79625 31.4213i −0.260496 1.70657i
\(340\) 1.55365i 0.0842586i
\(341\) 0.569800 14.8746i 0.0308564 0.805506i
\(342\) 3.96846 11.7632i 0.214590 0.636083i
\(343\) −0.951057 + 0.309017i −0.0513522 + 0.0166853i
\(344\) −2.57916 + 3.54991i −0.139059 + 0.191399i
\(345\) 7.86293 + 15.6481i 0.423326 + 0.842466i
\(346\) −5.29281 + 16.2896i −0.284543 + 0.875734i
\(347\) 6.29845 19.3846i 0.338119 1.04062i −0.627047 0.778982i \(-0.715736\pi\)
0.965165 0.261641i \(-0.0842636\pi\)
\(348\) 4.11893 + 8.19712i 0.220798 + 0.439412i
\(349\) 12.7756 17.5842i 0.683864 0.941259i −0.316108 0.948723i \(-0.602376\pi\)
0.999972 + 0.00746472i \(0.00237612\pi\)
\(350\) 3.23205 1.05016i 0.172760 0.0561333i
\(351\) 0.688744 + 0.365650i 0.0367624 + 0.0195169i
\(352\) 3.11275 + 1.14489i 0.165910 + 0.0610226i
\(353\) 12.1839i 0.648486i 0.945974 + 0.324243i \(0.105110\pi\)
−0.945974 + 0.324243i \(0.894890\pi\)
\(354\) −3.84350 25.1797i −0.204280 1.33828i
\(355\) −6.43215 4.67323i −0.341383 0.248029i
\(356\) −0.629005 0.865751i −0.0333372 0.0458847i
\(357\) −0.975947 + 1.88915i −0.0516526 + 0.0999844i
\(358\) −0.357818 0.116262i −0.0189113 0.00614465i
\(359\) −21.3205 + 15.4903i −1.12526 + 0.817546i −0.984997 0.172569i \(-0.944793\pi\)
−0.140258 + 0.990115i \(0.544793\pi\)
\(360\) −3.09638 + 2.19704i −0.163194 + 0.115794i
\(361\) 0.579492 + 1.78349i 0.0304996 + 0.0938681i
\(362\) −17.2912 −0.908808
\(363\) 18.9991 1.42566i 0.997196 0.0748275i
\(364\) 0.150070 0.00786581
\(365\) 4.20760 + 12.9497i 0.220236 + 0.677816i
\(366\) −3.08592 3.12071i −0.161303 0.163122i
\(367\) 14.4897 10.5274i 0.756357 0.549525i −0.141434 0.989948i \(-0.545171\pi\)
0.897791 + 0.440422i \(0.145171\pi\)
\(368\) 7.59828 + 2.46883i 0.396088 + 0.128697i
\(369\) 17.4663 23.4821i 0.909259 1.22243i
\(370\) −5.55864 7.65081i −0.288980 0.397747i
\(371\) −4.69899 3.41402i −0.243959 0.177247i
\(372\) 7.68470 1.17302i 0.398433 0.0608181i
\(373\) 11.2227i 0.581089i −0.956862 0.290544i \(-0.906164\pi\)
0.956862 0.290544i \(-0.0938364\pi\)
\(374\) −3.82137 1.40552i −0.197598 0.0726775i
\(375\) −18.1662 2.98172i −0.938097 0.153975i
\(376\) 2.65807 0.863658i 0.137079 0.0445398i
\(377\) −0.467198 + 0.643043i −0.0240619 + 0.0331184i
\(378\) 5.14512 0.726437i 0.264637 0.0373639i
\(379\) 5.42840 16.7069i 0.278838 0.858176i −0.709340 0.704867i \(-0.751007\pi\)
0.988178 0.153310i \(-0.0489932\pi\)
\(380\) −1.61836 + 4.98079i −0.0830199 + 0.255509i
\(381\) −15.9968 + 8.03816i −0.819543 + 0.411808i
\(382\) −6.77637 + 9.32688i −0.346709 + 0.477205i
\(383\) −23.9018 + 7.76617i −1.22133 + 0.396833i −0.847565 0.530692i \(-0.821932\pi\)
−0.373761 + 0.927525i \(0.621932\pi\)
\(384\) −0.280538 + 1.70918i −0.0143162 + 0.0872213i
\(385\) −0.160670 + 4.19428i −0.00818850 + 0.213760i
\(386\) 10.8751i 0.553527i
\(387\) −13.1630 0.147584i −0.669112 0.00750211i
\(388\) 8.01771 + 5.82521i 0.407038 + 0.295730i
\(389\) −6.53645 8.99665i −0.331411 0.456148i 0.610497 0.792018i \(-0.290970\pi\)
−0.941908 + 0.335870i \(0.890970\pi\)
\(390\) −0.292258 0.150982i −0.0147991 0.00764530i
\(391\) −9.32801 3.03085i −0.471738 0.153277i
\(392\) 0.809017 0.587785i 0.0408615 0.0296876i
\(393\) −3.85538 + 3.81239i −0.194478 + 0.192310i
\(394\) 3.00954 + 9.26241i 0.151618 + 0.466633i
\(395\) −13.7789 −0.693294
\(396\) 2.60269 + 9.60344i 0.130790 + 0.482591i
\(397\) 22.4138 1.12492 0.562459 0.826825i \(-0.309855\pi\)
0.562459 + 0.826825i \(0.309855\pi\)
\(398\) 5.91404 + 18.2015i 0.296444 + 0.912361i
\(399\) 5.09657 5.03975i 0.255148 0.252303i
\(400\) −2.74935 + 1.99752i −0.137467 + 0.0998759i
\(401\) −5.07008 1.64737i −0.253188 0.0822656i 0.179673 0.983726i \(-0.442496\pi\)
−0.432861 + 0.901461i \(0.642496\pi\)
\(402\) −18.6959 9.65845i −0.932468 0.481720i
\(403\) 0.395896 + 0.544904i 0.0197210 + 0.0271436i
\(404\) 1.23464 + 0.897019i 0.0614257 + 0.0446284i
\(405\) −10.7509 3.76169i −0.534214 0.186920i
\(406\) 5.29649i 0.262860i
\(407\) −23.8466 + 6.75072i −1.18203 + 0.334621i
\(408\) 0.344402 2.09827i 0.0170504 0.103880i
\(409\) −15.3374 + 4.98341i −0.758384 + 0.246414i −0.662585 0.748987i \(-0.730541\pi\)
−0.0957990 + 0.995401i \(0.530541\pi\)
\(410\) −7.25664 + 9.98791i −0.358380 + 0.493268i
\(411\) 1.31917 0.662861i 0.0650697 0.0326965i
\(412\) −1.24500 + 3.83172i −0.0613368 + 0.188775i
\(413\) 4.54436 13.9861i 0.223614 0.688212i
\(414\) 7.15046 + 22.8764i 0.351426 + 1.12432i
\(415\) −7.25900 + 9.99116i −0.356330 + 0.490447i
\(416\) −0.142725 + 0.0463742i −0.00699768 + 0.00227368i
\(417\) −13.0728 2.14572i −0.640177 0.105076i
\(418\) 10.7867 + 8.48640i 0.527595 + 0.415083i
\(419\) 18.7529i 0.916137i −0.888917 0.458069i \(-0.848541\pi\)
0.888917 0.458069i \(-0.151459\pi\)
\(420\) −2.16690 + 0.330762i −0.105734 + 0.0161395i
\(421\) 6.14224 + 4.46260i 0.299355 + 0.217494i 0.727315 0.686304i \(-0.240768\pi\)
−0.427961 + 0.903797i \(0.640768\pi\)
\(422\) −0.255070 0.351073i −0.0124166 0.0170900i
\(423\) 6.72758 + 5.00407i 0.327106 + 0.243306i
\(424\) 5.52399 + 1.79485i 0.268269 + 0.0871659i
\(425\) 3.37523 2.45225i 0.163723 0.118952i
\(426\) −7.65096 7.73722i −0.370690 0.374870i
\(427\) −0.783013 2.40987i −0.0378927 0.116622i
\(428\) 3.31020 0.160005
\(429\) −0.635749 + 0.582252i −0.0306943 + 0.0281114i
\(430\) 5.55316 0.267797
\(431\) 7.03075 + 21.6384i 0.338659 + 1.04229i 0.964891 + 0.262649i \(0.0845963\pi\)
−0.626232 + 0.779637i \(0.715404\pi\)
\(432\) −4.66882 + 2.28081i −0.224629 + 0.109736i
\(433\) 8.15913 5.92796i 0.392103 0.284879i −0.374214 0.927342i \(-0.622087\pi\)
0.766317 + 0.642463i \(0.222087\pi\)
\(434\) 4.26849 + 1.38692i 0.204894 + 0.0665741i
\(435\) 5.32869 10.3148i 0.255491 0.494556i
\(436\) 1.15175 + 1.58524i 0.0551586 + 0.0759193i
\(437\) 26.7472 + 19.4330i 1.27949 + 0.929605i
\(438\) 2.81196 + 18.4218i 0.134360 + 0.880226i
\(439\) 2.63248i 0.125641i 0.998025 + 0.0628206i \(0.0200096\pi\)
−0.998025 + 0.0628206i \(0.979990\pi\)
\(440\) −1.14330 4.03865i −0.0545046 0.192535i
\(441\) 2.84260 + 0.958981i 0.135362 + 0.0456657i
\(442\) 0.175216 0.0569312i 0.00833419 0.00270794i
\(443\) 11.9073 16.3890i 0.565733 0.778665i −0.426308 0.904578i \(-0.640186\pi\)
0.992041 + 0.125913i \(0.0401861\pi\)
\(444\) −5.81120 11.5649i −0.275788 0.548848i
\(445\) −0.418502 + 1.28802i −0.0198389 + 0.0610578i
\(446\) 5.62489 17.3116i 0.266346 0.819729i
\(447\) 0.692325 + 1.37780i 0.0327459 + 0.0651679i
\(448\) −0.587785 + 0.809017i −0.0277702 + 0.0382225i
\(449\) −24.5056 + 7.96236i −1.15649 + 0.375767i −0.823585 0.567193i \(-0.808030\pi\)
−0.332907 + 0.942960i \(0.608030\pi\)
\(450\) −9.66022 3.25898i −0.455387 0.153630i
\(451\) 18.0015 + 26.8840i 0.847660 + 1.26592i
\(452\) 18.3512i 0.863169i
\(453\) −3.80961 24.9576i −0.178991 1.17261i
\(454\) 15.9273 + 11.5718i 0.747503 + 0.543093i
\(455\) −0.111633 0.153650i −0.00523344 0.00720321i
\(456\) −3.28976 + 6.36802i −0.154057 + 0.298210i
\(457\) −22.5834 7.33780i −1.05641 0.343248i −0.271228 0.962515i \(-0.587430\pi\)
−0.785180 + 0.619268i \(0.787430\pi\)
\(458\) −7.92599 + 5.75857i −0.370357 + 0.269080i
\(459\) 5.73167 2.80004i 0.267531 0.130694i
\(460\) −3.12443 9.61601i −0.145677 0.448349i
\(461\) 2.78562 0.129739 0.0648696 0.997894i \(-0.479337\pi\)
0.0648696 + 0.997894i \(0.479337\pi\)
\(462\) −1.14675 + 5.62894i −0.0533516 + 0.261882i
\(463\) −2.99874 −0.139363 −0.0696816 0.997569i \(-0.522198\pi\)
−0.0696816 + 0.997569i \(0.522198\pi\)
\(464\) −1.63671 5.03726i −0.0759821 0.233849i
\(465\) −6.91743 6.99543i −0.320788 0.324405i
\(466\) −24.3943 + 17.7235i −1.13005 + 0.821026i
\(467\) −5.15927 1.67635i −0.238743 0.0775722i 0.187202 0.982321i \(-0.440058\pi\)
−0.425945 + 0.904749i \(0.640058\pi\)
\(468\) −0.361238 0.268694i −0.0166982 0.0124204i
\(469\) −7.14124 9.82907i −0.329752 0.453864i
\(470\) −2.86152 2.07902i −0.131992 0.0958979i
\(471\) 36.9123 5.63441i 1.70083 0.259620i
\(472\) 14.7059i 0.676893i
\(473\) 5.02368 13.6586i 0.230989 0.628022i
\(474\) −18.6090 3.05441i −0.854742 0.140294i
\(475\) −13.3749 + 4.34576i −0.613682 + 0.199397i
\(476\) 0.721593 0.993188i 0.0330742 0.0455227i
\(477\) 5.19843 + 16.6313i 0.238020 + 0.761495i
\(478\) 0.917735 2.82450i 0.0419762 0.129190i
\(479\) 8.33856 25.6634i 0.380998 1.17259i −0.558343 0.829610i \(-0.688563\pi\)
0.939342 0.342983i \(-0.111437\pi\)
\(480\) 1.95863 0.984183i 0.0893990 0.0449216i
\(481\) 0.659148 0.907240i 0.0300546 0.0413666i
\(482\) 4.00597 1.30162i 0.182467 0.0592872i
\(483\) −2.24130 + 13.6552i −0.101983 + 0.621331i
\(484\) −10.9678 0.841517i −0.498535 0.0382508i
\(485\) 12.5422i 0.569511i
\(486\) −13.6856 7.46349i −0.620793 0.338551i
\(487\) 14.1964 + 10.3143i 0.643299 + 0.467384i 0.860982 0.508636i \(-0.169850\pi\)
−0.217683 + 0.976019i \(0.569850\pi\)
\(488\) 1.48938 + 2.04995i 0.0674210 + 0.0927971i
\(489\) −14.5827 7.53354i −0.659454 0.340679i
\(490\) −1.20361 0.391077i −0.0543736 0.0176671i
\(491\) −27.3069 + 19.8396i −1.23234 + 0.895351i −0.997064 0.0765768i \(-0.975601\pi\)
−0.235281 + 0.971927i \(0.575601\pi\)
\(492\) −12.0144 + 11.8805i −0.541653 + 0.535614i
\(493\) 2.00930 + 6.18398i 0.0904942 + 0.278513i
\(494\) −0.621020 −0.0279410
\(495\) 7.89643 9.80851i 0.354918 0.440860i
\(496\) −4.48815 −0.201524
\(497\) −1.94134 5.97482i −0.0870809 0.268007i
\(498\) −12.0184 + 11.8844i −0.538556 + 0.532551i
\(499\) 6.19831 4.50333i 0.277474 0.201597i −0.440341 0.897831i \(-0.645142\pi\)
0.717815 + 0.696234i \(0.245142\pi\)
\(500\) 10.1084 + 3.28441i 0.452061 + 0.146883i
\(501\) 17.4284 + 9.00366i 0.778646 + 0.402254i
\(502\) 6.01724 + 8.28202i 0.268563 + 0.369645i
\(503\) −7.37887 5.36106i −0.329008 0.239038i 0.411002 0.911635i \(-0.365179\pi\)
−0.740009 + 0.672596i \(0.765179\pi\)
\(504\) −2.99981 0.0336340i −0.133622 0.00149818i
\(505\) 1.93136i 0.0859443i
\(506\) −26.4781 1.01429i −1.17709 0.0450908i
\(507\) −3.64068 + 22.1809i −0.161688 + 0.985086i
\(508\) 9.83031 3.19406i 0.436150 0.141714i
\(509\) 21.3108 29.3318i 0.944584 1.30011i −0.00930679 0.999957i \(-0.502962\pi\)
0.953891 0.300152i \(-0.0970375\pi\)
\(510\) −2.40451 + 1.20823i −0.106474 + 0.0535013i
\(511\) −3.32472 + 10.2324i −0.147077 + 0.452656i
\(512\) 0.309017 0.951057i 0.0136568 0.0420312i
\(513\) −21.2916 + 3.00614i −0.940045 + 0.132724i
\(514\) −16.0700 + 22.1184i −0.708816 + 0.975602i
\(515\) 4.84924 1.57561i 0.213683 0.0694298i
\(516\) 7.49978 + 1.23098i 0.330159 + 0.0541910i
\(517\) −7.70224 + 5.15742i −0.338744 + 0.226823i
\(518\) 7.47257i 0.328326i
\(519\) 29.3267 4.47652i 1.28730 0.196497i
\(520\) 0.153650 + 0.111633i 0.00673798 + 0.00489543i
\(521\) −8.17594 11.2532i −0.358194 0.493012i 0.591450 0.806342i \(-0.298556\pi\)
−0.949645 + 0.313329i \(0.898556\pi\)
\(522\) 9.48313 12.7493i 0.415065 0.558023i
\(523\) 10.1304 + 3.29157i 0.442971 + 0.143930i 0.522006 0.852942i \(-0.325184\pi\)
−0.0790347 + 0.996872i \(0.525184\pi\)
\(524\) 2.53255 1.84001i 0.110635 0.0803810i
\(525\) −4.13875 4.18541i −0.180630 0.182666i
\(526\) −6.14791 18.9213i −0.268062 0.825009i
\(527\) 5.50987 0.240014
\(528\) −0.648815 5.70781i −0.0282360 0.248400i
\(529\) −40.8289 −1.77517
\(530\) −2.27148 6.99090i −0.0986668 0.303665i
\(531\) −35.9804 + 25.5299i −1.56142 + 1.10790i
\(532\) −3.34788 + 2.43237i −0.145149 + 0.105457i
\(533\) −1.39232 0.452391i −0.0603079 0.0195952i
\(534\) −0.850723 + 1.64675i −0.0368144 + 0.0712619i
\(535\) −2.46237 3.38916i −0.106457 0.146526i
\(536\) 9.82907 + 7.14124i 0.424551 + 0.308454i
\(537\) 0.0983314 + 0.644192i 0.00424331 + 0.0277989i
\(538\) 0.633467i 0.0273107i
\(539\) −2.05074 + 2.60662i −0.0883318 + 0.112275i
\(540\) 5.80822 + 3.08355i 0.249946 + 0.132695i
\(541\) 9.36982 3.04444i 0.402840 0.130891i −0.100587 0.994928i \(-0.532072\pi\)
0.503427 + 0.864038i \(0.332072\pi\)
\(542\) −15.4216 + 21.2260i −0.662415 + 0.911735i
\(543\) 13.4469 + 26.7608i 0.577062 + 1.14842i
\(544\) −0.379364 + 1.16756i −0.0162651 + 0.0500588i
\(545\) 0.766302 2.35843i 0.0328248 0.101024i
\(546\) −0.116705 0.232256i −0.00499452 0.00993965i
\(547\) 0.276221 0.380186i 0.0118104 0.0162556i −0.803071 0.595883i \(-0.796802\pi\)
0.814881 + 0.579628i \(0.196802\pi\)
\(548\) −0.810649 + 0.263396i −0.0346292 + 0.0112517i
\(549\) −2.42994 + 7.20281i −0.103708 + 0.307408i
\(550\) 6.96921 8.85827i 0.297168 0.377718i
\(551\) 21.9179i 0.933736i
\(552\) −2.08807 13.6794i −0.0888741 0.582235i
\(553\) −8.80833 6.39963i −0.374568 0.272140i
\(554\) 16.5876 + 22.8309i 0.704739 + 0.969991i
\(555\) −7.51801 + 14.5527i −0.319122 + 0.617726i
\(556\) 7.27423 + 2.36354i 0.308496 + 0.100236i
\(557\) 7.59992 5.52167i 0.322019 0.233961i −0.415017 0.909813i \(-0.636225\pi\)
0.737037 + 0.675853i \(0.236225\pi\)
\(558\) −7.79159 10.9810i −0.329844 0.464864i
\(559\) 0.203487 + 0.626269i 0.00860659 + 0.0264883i
\(560\) 1.26555 0.0534793
\(561\) 0.796516 + 7.00718i 0.0336289 + 0.295843i
\(562\) 4.66375 0.196728
\(563\) 12.2573 + 37.7240i 0.516583 + 1.58988i 0.780383 + 0.625302i \(0.215024\pi\)
−0.263800 + 0.964577i \(0.584976\pi\)
\(564\) −3.40374 3.44212i −0.143323 0.144939i
\(565\) 18.7890 13.6510i 0.790457 0.574301i
\(566\) 23.2527 + 7.55524i 0.977382 + 0.317571i
\(567\) −5.12548 7.39793i −0.215250 0.310684i
\(568\) 3.69264 + 5.08249i 0.154940 + 0.213256i
\(569\) −14.1470 10.2784i −0.593073 0.430893i 0.250340 0.968158i \(-0.419458\pi\)
−0.843414 + 0.537265i \(0.819458\pi\)
\(570\) 8.96707 1.36876i 0.375589 0.0573311i
\(571\) 42.0315i 1.75896i −0.475934 0.879481i \(-0.657890\pi\)
0.475934 0.879481i \(-0.342110\pi\)
\(572\) 0.413573 0.276928i 0.0172923 0.0115789i
\(573\) 19.7046 + 3.23423i 0.823170 + 0.135112i
\(574\) −9.27777 + 3.01453i −0.387247 + 0.125824i
\(575\) 15.9588 21.9654i 0.665527 0.916019i
\(576\) 2.86338 0.895005i 0.119308 0.0372919i
\(577\) 2.37227 7.30108i 0.0987587 0.303948i −0.889456 0.457020i \(-0.848917\pi\)
0.988215 + 0.153072i \(0.0489167\pi\)
\(578\) −4.78756 + 14.7346i −0.199136 + 0.612879i
\(579\) −16.8308 + 8.45723i −0.699465 + 0.351470i
\(580\) −3.93991 + 5.42282i −0.163596 + 0.225171i
\(581\) −9.28079 + 3.01551i −0.385032 + 0.125104i
\(582\) 2.78026 16.9387i 0.115245 0.702133i
\(583\) −19.2497 0.737398i −0.797243 0.0305399i
\(584\) 10.7590i 0.445211i
\(585\) −0.00638782 + 0.569728i −0.000264104 + 0.0235554i
\(586\) 5.76112 + 4.18570i 0.237990 + 0.172910i
\(587\) −23.2807 32.0431i −0.960898 1.32256i −0.946513 0.322666i \(-0.895421\pi\)
−0.0143847 0.999897i \(-0.504579\pi\)
\(588\) −1.53884 0.794973i −0.0634605 0.0327842i
\(589\) −17.6639 5.73934i −0.727827 0.236485i
\(590\) 15.0566 10.9393i 0.619872 0.450364i
\(591\) 11.9946 11.8608i 0.493390 0.487889i
\(592\) 2.30915 + 7.10684i 0.0949056 + 0.292089i
\(593\) 0.505509 0.0207588 0.0103794 0.999946i \(-0.496696\pi\)
0.0103794 + 0.999946i \(0.496696\pi\)
\(594\) 12.8387 11.4964i 0.526780 0.471702i
\(595\) −1.55365 −0.0636935
\(596\) −0.275104 0.846682i −0.0112687 0.0346815i
\(597\) 23.5705 23.3077i 0.964676 0.953920i
\(598\) 0.969975 0.704728i 0.0396652 0.0288185i
\(599\) 7.13291 + 2.31762i 0.291443 + 0.0946956i 0.451090 0.892479i \(-0.351035\pi\)
−0.159647 + 0.987174i \(0.551035\pi\)
\(600\) 5.22955 + 2.70162i 0.213495 + 0.110293i
\(601\) −25.9777 35.7552i −1.05965 1.45849i −0.880131 0.474732i \(-0.842545\pi\)
−0.179521 0.983754i \(-0.557455\pi\)
\(602\) 3.54991 + 2.57916i 0.144684 + 0.105119i
\(603\) −0.408633 + 36.4459i −0.0166408 + 1.48419i
\(604\) 14.5762i 0.593096i
\(605\) 7.29703 + 11.8554i 0.296666 + 0.481989i
\(606\) 0.428129 2.60838i 0.0173916 0.105958i
\(607\) −11.3469 + 3.68682i −0.460555 + 0.149643i −0.530099 0.847936i \(-0.677845\pi\)
0.0695446 + 0.997579i \(0.477845\pi\)
\(608\) 2.43237 3.34788i 0.0986458 0.135774i
\(609\) 8.19712 4.11893i 0.332164 0.166907i
\(610\) 0.990943 3.04981i 0.0401221 0.123483i
\(611\) 0.129609 0.398896i 0.00524343 0.0161376i
\(612\) −3.51523 + 1.09875i −0.142095 + 0.0444144i
\(613\) −23.1639 + 31.8824i −0.935581 + 1.28772i 0.0220609 + 0.999757i \(0.492977\pi\)
−0.957642 + 0.287961i \(0.907023\pi\)
\(614\) −24.3353 + 7.90701i −0.982092 + 0.319101i
\(615\) 21.1011 + 3.46345i 0.850878 + 0.139660i
\(616\) 1.14489 3.11275i 0.0461287 0.125416i
\(617\) 14.7927i 0.595530i 0.954639 + 0.297765i \(0.0962412\pi\)
−0.954639 + 0.297765i \(0.903759\pi\)
\(618\) 6.89837 1.05299i 0.277493 0.0423574i
\(619\) 11.0014 + 7.99297i 0.442183 + 0.321264i 0.786502 0.617588i \(-0.211890\pi\)
−0.344319 + 0.938853i \(0.611890\pi\)
\(620\) 3.33861 + 4.59521i 0.134082 + 0.184548i
\(621\) 29.8441 28.8568i 1.19760 1.15798i
\(622\) 4.85519 + 1.57755i 0.194675 + 0.0632538i
\(623\) −0.865751 + 0.629005i −0.0346856 + 0.0252005i
\(624\) 0.182764 + 0.184825i 0.00731643 + 0.00739892i
\(625\) 1.09419 + 3.36758i 0.0437677 + 0.134703i
\(626\) 16.1522 0.645573
\(627\) 4.74548 23.2937i 0.189516 0.930261i
\(628\) −21.5582 −0.860266
\(629\) −2.83483 8.72470i −0.113032 0.347876i
\(630\) 2.19704 + 3.09638i 0.0875322 + 0.123363i
\(631\) 38.2813 27.8130i 1.52395 1.10722i 0.564472 0.825452i \(-0.309080\pi\)
0.959483 0.281766i \(-0.0909201\pi\)
\(632\) 10.3548 + 3.36448i 0.411892 + 0.133832i
\(633\) −0.344979 + 0.667779i −0.0137117 + 0.0265418i
\(634\) −9.89650 13.6214i −0.393040 0.540973i
\(635\) −10.5827 7.68882i −0.419963 0.305121i
\(636\) −1.51804 9.94503i −0.0601942 0.394346i
\(637\) 0.150070i 0.00594599i
\(638\) 9.77374 + 14.5964i 0.386946 + 0.577877i
\(639\) −6.02460 + 17.8580i −0.238330 + 0.706453i
\(640\) −1.20361 + 0.391077i −0.0475769 + 0.0154587i
\(641\) 10.4106 14.3290i 0.411195 0.565961i −0.552314 0.833636i \(-0.686255\pi\)
0.963509 + 0.267674i \(0.0862552\pi\)
\(642\) −2.57425 5.12304i −0.101597 0.202190i
\(643\) −10.2501 + 31.5465i −0.404223 + 1.24407i 0.517319 + 0.855793i \(0.326930\pi\)
−0.921542 + 0.388279i \(0.873070\pi\)
\(644\) 2.46883 7.59828i 0.0972855 0.299414i
\(645\) −4.31853 8.59436i −0.170042 0.338403i
\(646\) −2.98610 + 4.11001i −0.117487 + 0.161706i
\(647\) −35.8161 + 11.6374i −1.40808 + 0.457512i −0.911793 0.410650i \(-0.865302\pi\)
−0.496282 + 0.868161i \(0.665302\pi\)
\(648\) 7.16071 + 5.45199i 0.281299 + 0.214174i
\(649\) −13.2853 46.9296i −0.521493 1.84215i
\(650\) 0.509995i 0.0200037i
\(651\) −1.17302 7.68470i −0.0459741 0.301187i
\(652\) 7.66663 + 5.57013i 0.300248 + 0.218143i
\(653\) 23.9367 + 32.9460i 0.936715 + 1.28928i 0.957182 + 0.289488i \(0.0934849\pi\)
−0.0204664 + 0.999791i \(0.506515\pi\)
\(654\) 1.55772 3.01530i 0.0609118 0.117907i
\(655\) −3.76779 1.22423i −0.147220 0.0478346i
\(656\) 7.89214 5.73398i 0.308136 0.223874i
\(657\) 26.3237 18.6780i 1.02699 0.728698i
\(658\) −0.863658 2.65807i −0.0336689 0.103622i
\(659\) 3.77335 0.146989 0.0734945 0.997296i \(-0.476585\pi\)
0.0734945 + 0.997296i \(0.476585\pi\)
\(660\) −5.36132 + 4.91017i −0.208689 + 0.191128i
\(661\) 35.5412 1.38239 0.691196 0.722667i \(-0.257084\pi\)
0.691196 + 0.722667i \(0.257084\pi\)
\(662\) −1.55487 4.78541i −0.0604319 0.185990i
\(663\) −0.224370 0.226900i −0.00871382 0.00881207i
\(664\) 7.89471 5.73584i 0.306374 0.222594i
\(665\) 4.98079 + 1.61836i 0.193147 + 0.0627571i
\(666\) −13.3793 + 17.9874i −0.518438 + 0.696999i
\(667\) 24.8723 + 34.2337i 0.963058 + 1.32554i
\(668\) −9.16271 6.65710i −0.354516 0.257571i
\(669\) −31.1667 + 4.75738i −1.20497 + 0.183931i
\(670\) 15.3757i 0.594015i
\(671\) −6.60486 5.19635i −0.254978 0.200603i
\(672\) 1.70918 + 0.280538i 0.0659331 + 0.0108220i
\(673\) −31.3630 + 10.1905i −1.20895 + 0.392813i −0.843048 0.537838i \(-0.819241\pi\)
−0.365907 + 0.930652i \(0.619241\pi\)
\(674\) 13.2501 18.2372i 0.510375 0.702471i
\(675\) 2.46871 + 17.4851i 0.0950206 + 0.673001i
\(676\) 4.01026 12.3423i 0.154241 0.474704i
\(677\) 0.576976 1.77575i 0.0221750 0.0682476i −0.939357 0.342942i \(-0.888577\pi\)
0.961532 + 0.274694i \(0.0885766\pi\)
\(678\) 28.4013 14.2712i 1.09075 0.548083i
\(679\) 5.82521 8.01771i 0.223551 0.307692i
\(680\) 1.47761 0.480105i 0.0566638 0.0184112i
\(681\) 5.52300 33.6489i 0.211642 1.28943i
\(682\) 14.3227 4.05460i 0.548444 0.155259i
\(683\) 39.4696i 1.51026i 0.655573 + 0.755132i \(0.272427\pi\)
−0.655573 + 0.755132i \(0.727573\pi\)
\(684\) 12.4138 + 0.139184i 0.474655 + 0.00532185i
\(685\) 0.872697 + 0.634052i 0.0333441 + 0.0242259i
\(686\) −0.587785 0.809017i −0.0224417 0.0308884i
\(687\) 15.0761 + 7.78841i 0.575188 + 0.297146i
\(688\) −4.17318 1.35595i −0.159101 0.0516950i
\(689\) 0.705178 0.512342i 0.0268651 0.0195187i
\(690\) −12.4525 + 12.3136i −0.474057 + 0.468772i
\(691\) 6.90773 + 21.2598i 0.262783 + 0.808762i 0.992196 + 0.124688i \(0.0397931\pi\)
−0.729413 + 0.684073i \(0.760207\pi\)
\(692\) −17.1279 −0.651105
\(693\) 9.60344 2.60269i 0.364804 0.0988682i
\(694\) 20.3822 0.773699
\(695\) −2.99118 9.20591i −0.113462 0.349200i
\(696\) −6.52311 + 6.45038i −0.247258 + 0.244501i
\(697\) −9.68877 + 7.03930i −0.366988 + 0.266633i
\(698\) 20.6714 + 6.71655i 0.782425 + 0.254225i
\(699\) 46.4006 + 23.9709i 1.75503 + 0.906662i
\(700\) 1.99752 + 2.74935i 0.0754991 + 0.103916i
\(701\) 36.2208 + 26.3160i 1.36804 + 0.993941i 0.997887 + 0.0649706i \(0.0206954\pi\)
0.370155 + 0.928970i \(0.379305\pi\)
\(702\) −0.134920 + 0.768026i −0.00509224 + 0.0289873i
\(703\) 30.9230i 1.16628i
\(704\) −0.126956 + 3.31419i −0.00478485 + 0.124908i
\(705\) −0.992273 + 6.04543i −0.0373712 + 0.227684i
\(706\) −11.5876 + 3.76505i −0.436106 + 0.141699i
\(707\) 0.897019 1.23464i 0.0337359 0.0464335i
\(708\) 22.7596 11.4363i 0.855357 0.429804i
\(709\) −8.93914 + 27.5119i −0.335717 + 1.03323i 0.630651 + 0.776066i \(0.282788\pi\)
−0.966368 + 0.257163i \(0.917212\pi\)
\(710\) 2.45686 7.56144i 0.0922044 0.283776i
\(711\) 9.74454 + 31.1757i 0.365449 + 1.16918i
\(712\) 0.629005 0.865751i 0.0235730 0.0324454i
\(713\) 34.1022 11.0805i 1.27714 0.414968i
\(714\) −2.09827 0.344402i −0.0785259 0.0128889i
\(715\) −0.591179 0.217438i −0.0221088 0.00813173i
\(716\) 0.376232i 0.0140605i
\(717\) −5.08504 + 0.776196i −0.189904 + 0.0289876i
\(718\) −21.3205 15.4903i −0.795676 0.578092i
\(719\) −11.0692 15.2355i −0.412812 0.568187i 0.551090 0.834446i \(-0.314212\pi\)
−0.963901 + 0.266259i \(0.914212\pi\)
\(720\) −3.04635 2.26591i −0.113531 0.0844456i
\(721\) 3.83172 + 1.24500i 0.142701 + 0.0463663i
\(722\) −1.51713 + 1.10226i −0.0564617 + 0.0410219i
\(723\) −5.12978 5.18762i −0.190779 0.192930i
\(724\) −5.34329 16.4450i −0.198582 0.611172i
\(725\) −17.9995 −0.668484
\(726\) 7.22694 + 17.6287i 0.268217 + 0.654263i
\(727\) 45.8398 1.70010 0.850051 0.526700i \(-0.176571\pi\)
0.850051 + 0.526700i \(0.176571\pi\)
\(728\) 0.0463742 + 0.142725i 0.00171874 + 0.00528975i
\(729\) −0.907966 + 26.9847i −0.0336284 + 0.999434i
\(730\) −11.0156 + 8.00333i −0.407707 + 0.296216i
\(731\) 5.12319 + 1.66463i 0.189488 + 0.0615684i
\(732\) 2.01437 3.89923i 0.0744533 0.144120i
\(733\) 4.64612 + 6.39483i 0.171608 + 0.236199i 0.886155 0.463389i \(-0.153367\pi\)
−0.714546 + 0.699588i \(0.753367\pi\)
\(734\) 14.4897 + 10.5274i 0.534825 + 0.388573i
\(735\) 0.330762 + 2.16690i 0.0122004 + 0.0799273i
\(736\) 7.98930i 0.294490i
\(737\) −37.8181 13.9097i −1.39305 0.512369i
\(738\) 27.7302 + 9.35507i 1.02076 + 0.344365i
\(739\) −30.1398 + 9.79303i −1.10871 + 0.360242i −0.805449 0.592665i \(-0.798076\pi\)
−0.303263 + 0.952907i \(0.598076\pi\)
\(740\) 5.55864 7.65081i 0.204340 0.281250i
\(741\) 0.482950 + 0.961124i 0.0177416 + 0.0353078i
\(742\) 1.79485 5.52399i 0.0658912 0.202792i
\(743\) −8.62955 + 26.5590i −0.316587 + 0.974356i 0.658509 + 0.752573i \(0.271188\pi\)
−0.975096 + 0.221783i \(0.928812\pi\)
\(744\) 3.49031 + 6.94610i 0.127961 + 0.254656i
\(745\) −0.662236 + 0.911489i −0.0242624 + 0.0333944i
\(746\) 10.6734 3.46800i 0.390781 0.126973i
\(747\) 27.7392 + 9.35811i 1.01492 + 0.342396i
\(748\) 0.155858 4.06866i 0.00569873 0.148765i
\(749\) 3.31020i 0.120952i
\(750\) −2.77787 18.1985i −0.101433 0.664514i
\(751\) −39.9326 29.0127i −1.45716 1.05869i −0.984091 0.177662i \(-0.943146\pi\)
−0.473068 0.881026i \(-0.656854\pi\)
\(752\) 1.64278 + 2.26109i 0.0599059 + 0.0824533i
\(753\) 8.13826 15.7533i 0.296575 0.574082i
\(754\) −0.755942 0.245620i −0.0275298 0.00894497i
\(755\) 14.9239 10.8428i 0.543135 0.394611i
\(756\) 2.28081 + 4.66882i 0.0829524 + 0.169803i
\(757\) 4.52610 + 13.9299i 0.164504 + 0.506291i 0.998999 0.0447237i \(-0.0142408\pi\)
−0.834495 + 0.551015i \(0.814241\pi\)
\(758\) 17.5667 0.638051
\(759\) 19.0215 + 41.7677i 0.690436 + 1.51607i
\(760\) −5.23711 −0.189970
\(761\) −2.71038 8.34169i −0.0982512 0.302386i 0.889836 0.456280i \(-0.150819\pi\)
−0.988087 + 0.153894i \(0.950819\pi\)
\(762\) −12.5880 12.7300i −0.456017 0.461158i
\(763\) 1.58524 1.15175i 0.0573896 0.0416960i
\(764\) −10.9644 3.56255i −0.396678 0.128889i
\(765\) 3.73984 + 2.78174i 0.135214 + 0.100574i
\(766\) −14.7721 20.3321i −0.533739 0.734629i
\(767\) 1.78543 + 1.29719i 0.0644681 + 0.0468388i
\(768\) −1.71222 + 0.261358i −0.0617844 + 0.00943095i
\(769\) 7.95794i 0.286971i −0.989652 0.143485i \(-0.954169\pi\)
0.989652 0.143485i \(-0.0458310\pi\)
\(770\) −4.03865 + 1.14330i −0.145543 + 0.0412016i
\(771\) 46.7288 + 7.66988i 1.68290 + 0.276224i
\(772\) 10.3428 3.36058i 0.372246 0.120950i
\(773\) 2.00414 2.75846i 0.0720839 0.0992150i −0.771453 0.636287i \(-0.780470\pi\)
0.843537 +