Properties

Label 462.2.w.b.365.6
Level $462$
Weight $2$
Character 462.365
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 365.6
Character \(\chi\) \(=\) 462.365
Dual form 462.2.w.b.281.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.309017 + 0.951057i) q^{2} +(-0.777671 - 1.54765i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.20361 + 0.391077i) q^{5} +(1.71222 - 0.261358i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.79046 + 2.40713i) q^{9} +O(q^{10})\) \(q+(-0.309017 + 0.951057i) q^{2} +(-0.777671 - 1.54765i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.20361 + 0.391077i) q^{5} +(1.71222 - 0.261358i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.79046 + 2.40713i) 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} +(1.54126 + 1.55864i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.379364 + 1.16756i) q^{17} +(-1.73603 - 2.44667i) 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} +(-1.53884 - 0.794973i) q^{24} +(-2.74935 + 1.99752i) q^{25} +(0.0882090 - 0.121409i) q^{26} +(5.11778 + 0.899048i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(-4.28495 - 3.11320i) q^{29} +(-1.95863 + 0.984183i) q^{30} +(-1.38692 + 4.26849i) q^{31} -1.00000 q^{32} +(4.19258 + 3.92712i) q^{33} -1.22765 q^{34} +(-0.391077 + 1.20361i) q^{35} +(2.86338 - 0.895005i) q^{36} +(-6.04544 - 4.39227i) q^{37} +(-3.93566 + 1.27878i) q^{38} +(0.0392221 + 0.256953i) q^{39} +(-0.743872 + 1.02385i) q^{40} +(-7.89214 + 5.73398i) q^{41} +(0.794973 - 1.53884i) 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} +(1.23159 - 1.21786i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(-1.05016 - 3.23205i) q^{50} +(1.51196 - 1.49510i) 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} +(3.28976 - 6.36802i) q^{57} +(4.28495 - 3.11320i) q^{58} +(8.64390 - 11.8973i) q^{59} +(-0.330762 - 2.16690i) q^{60} +(-2.40987 + 0.783013i) q^{61} +(-3.63099 - 2.63807i) q^{62} +(0.895005 + 2.86338i) q^{63} +(0.309017 - 0.951057i) q^{64} +0.189921 q^{65} +(-5.03049 + 2.77384i) q^{66} -12.1494 q^{67} +(0.379364 - 1.16756i) q^{68} +(12.3647 - 6.21305i) q^{69} +(-1.02385 - 0.743872i) q^{70} +(5.97482 - 1.94134i) q^{71} +(-0.0336340 + 2.99981i) q^{72} +(6.32399 - 8.70422i) q^{73} +(6.04544 - 4.39227i) q^{74} +(5.22955 + 2.70162i) 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} +(-2.58854 - 8.61971i) q^{81} +(-3.01453 - 9.27777i) q^{82} +(3.01551 + 9.28079i) q^{83} +(1.21786 + 1.23159i) 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} +(3.04635 + 2.26591i) q^{90} +(-0.121409 + 0.0882090i) q^{91} +(4.69599 - 6.46348i) q^{92} +(7.68470 - 1.17302i) q^{93} +(-2.65807 + 0.863658i) q^{94} +(-4.23691 - 3.07830i) q^{95} +(0.777671 + 1.54765i) q^{96} +(-3.06249 + 9.42539i) q^{97} +1.00000 q^{98} +(2.81736 - 9.54267i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q + 12q^{2} - 4q^{3} - 12q^{4} + 4q^{6} + 12q^{8} + 10q^{9} + O(q^{10}) \) \( 48q + 12q^{2} - 4q^{3} - 12q^{4} + 4q^{6} + 12q^{8} + 10q^{9} + 8q^{11} + 6q^{12} - 24q^{15} - 12q^{16} + 24q^{17} + 10q^{18} + 30q^{19} - 8q^{22} - 6q^{24} + 18q^{25} + 20q^{26} + 38q^{27} - 8q^{29} - 36q^{30} - 32q^{31} - 48q^{32} + 24q^{33} - 4q^{34} - 6q^{35} - 20q^{37} - 20q^{38} - 34q^{39} - 22q^{44} + 12q^{45} + 20q^{46} - 20q^{47} - 4q^{48} + 12q^{49} - 28q^{50} + 2q^{51} + 20q^{52} - 20q^{53} - 18q^{54} + 16q^{55} + 12q^{57} + 8q^{58} - 30q^{59} - 4q^{60} - 20q^{61} - 8q^{62} - 4q^{63} - 12q^{64} + 46q^{66} + 36q^{67} + 24q^{68} + 30q^{69} - 4q^{70} - 10q^{72} - 20q^{73} + 20q^{74} + 40q^{75} + 16q^{77} - 16q^{78} - 20q^{79} - 54q^{81} - 10q^{82} + 46q^{83} - 10q^{84} + 10q^{85} + 30q^{86} - 8q^{87} - 8q^{88} - 62q^{90} - 36q^{91} - 10q^{92} + 44q^{93} - 50q^{95} + 4q^{96} - 2q^{97} + 48q^{98} - 26q^{99} + O(q^{100}) \)

Character values

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

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

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
\(3\) −0.777671 1.54765i −0.448989 0.893537i
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) −1.20361 + 0.391077i −0.538271 + 0.174895i −0.565521 0.824734i \(-0.691325\pi\)
0.0272501 + 0.999629i \(0.491325\pi\)
\(6\) 1.71222 0.261358i 0.699010 0.106699i
\(7\) 0.587785 0.809017i 0.222162 0.305780i
\(8\) 0.809017 0.587785i 0.286031 0.207813i
\(9\) −1.79046 + 2.40713i −0.596818 + 0.802376i
\(10\) 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 0.289158 0.957281i \(-0.406625\pi\)
−0.328742 + 0.944420i \(0.606625\pi\)
\(14\) 0.587785 + 0.809017i 0.157092 + 0.216219i
\(15\) 1.54126 + 1.55864i 0.397953 + 0.402440i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 0.379364 + 1.16756i 0.0920093 + 0.283176i 0.986463 0.163986i \(-0.0524351\pi\)
−0.894453 + 0.447161i \(0.852435\pi\)
\(18\) −1.73603 2.44667i −0.409187 0.576685i
\(19\) 2.43237 + 3.34788i 0.558025 + 0.768056i 0.991074 0.133315i \(-0.0425622\pi\)
−0.433049 + 0.901371i \(0.642562\pi\)
\(20\) 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 \(0.686655\pi\)
\(24\) −1.53884 0.794973i −0.314114 0.162273i
\(25\) −2.74935 + 1.99752i −0.549869 + 0.399503i
\(26\) 0.0882090 0.121409i 0.0172992 0.0238103i
\(27\) 5.11778 + 0.899048i 0.984918 + 0.173022i
\(28\) −0.951057 + 0.309017i −0.179733 + 0.0583987i
\(29\) −4.28495 3.11320i −0.795695 0.578106i 0.113953 0.993486i \(-0.463649\pi\)
−0.909648 + 0.415380i \(0.863649\pi\)
\(30\) −1.95863 + 0.984183i −0.357596 + 0.179686i
\(31\) −1.38692 + 4.26849i −0.249097 + 0.766643i 0.745838 + 0.666127i \(0.232049\pi\)
−0.994935 + 0.100516i \(0.967951\pi\)
\(32\) −1.00000 −0.176777
\(33\) 4.19258 + 3.92712i 0.729835 + 0.683623i
\(34\) −1.22765 −0.210540
\(35\) −0.391077 + 1.20361i −0.0661041 + 0.203447i
\(36\) 2.86338 0.895005i 0.477231 0.149167i
\(37\) −6.04544 4.39227i −0.993864 0.722085i −0.0331002 0.999452i \(-0.510538\pi\)
−0.960764 + 0.277368i \(0.910538\pi\)
\(38\) −3.93566 + 1.27878i −0.638449 + 0.207445i
\(39\) 0.0392221 + 0.256953i 0.00628056 + 0.0411454i
\(40\) −0.743872 + 1.02385i −0.117617 + 0.161885i
\(41\) −7.89214 + 5.73398i −1.23255 + 0.895496i −0.997078 0.0763859i \(-0.975662\pi\)
−0.235467 + 0.971882i \(0.575662\pi\)
\(42\) 0.794973 1.53884i 0.122667 0.237448i
\(43\) 4.38794i 0.669154i 0.942368 + 0.334577i \(0.108593\pi\)
−0.942368 + 0.334577i \(0.891407\pi\)
\(44\) 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 \(-0.134659\pi\)
−0.672220 + 0.740351i \(0.734659\pi\)
\(48\) 1.23159 1.21786i 0.177765 0.175783i
\(49\) −0.309017 0.951057i −0.0441453 0.135865i
\(50\) −1.05016 3.23205i −0.148515 0.457081i
\(51\) 1.51196 1.49510i 0.211717 0.209356i
\(52\) 0.0882090 + 0.121409i 0.0122324 + 0.0168364i
\(53\) 5.52399 + 1.79485i 0.758779 + 0.246542i 0.662755 0.748837i \(-0.269387\pi\)
0.0960245 + 0.995379i \(0.469387\pi\)
\(54\) −2.43653 + 4.58948i −0.331569 + 0.624549i
\(55\) 3.29881 2.59532i 0.444811 0.349953i
\(56\) 1.00000i 0.133631i
\(57\) 3.28976 6.36802i 0.435740 0.843464i
\(58\) 4.28495 3.11320i 0.562641 0.408783i
\(59\) 8.64390 11.8973i 1.12534 1.54890i 0.328708 0.944432i \(-0.393387\pi\)
0.796632 0.604465i \(-0.206613\pi\)
\(60\) −0.330762 2.16690i −0.0427012 0.279746i
\(61\) −2.40987 + 0.783013i −0.308552 + 0.100255i −0.459200 0.888333i \(-0.651864\pi\)
0.150648 + 0.988587i \(0.451864\pi\)
\(62\) −3.63099 2.63807i −0.461137 0.335035i
\(63\) 0.895005 + 2.86338i 0.112760 + 0.360752i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) 0.189921 0.0235569
\(66\) −5.03049 + 2.77384i −0.619210 + 0.341436i
\(67\) −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
\(69\) 12.3647 6.21305i 1.48853 0.747963i
\(70\) −1.02385 0.743872i −0.122374 0.0889098i
\(71\) 5.97482 1.94134i 0.709081 0.230394i 0.0677982 0.997699i \(-0.478403\pi\)
0.641283 + 0.767305i \(0.278403\pi\)
\(72\) −0.0336340 + 2.99981i −0.00396381 + 0.353531i
\(73\) 6.32399 8.70422i 0.740166 1.01875i −0.258443 0.966027i \(-0.583209\pi\)
0.998609 0.0527251i \(-0.0167907\pi\)
\(74\) 6.04544 4.39227i 0.702768 0.510591i
\(75\) 5.22955 + 2.70162i 0.603856 + 0.311956i
\(76\) 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 −0.338230 0.941063i \(-0.609828\pi\)
−0.826777 + 0.562529i \(0.809828\pi\)
\(80\) −0.743872 1.02385i −0.0831675 0.114470i
\(81\) −2.58854 8.61971i −0.287615 0.957746i
\(82\) −3.01453 9.27777i −0.332899 1.02456i
\(83\) 3.01551 + 9.28079i 0.330995 + 1.01870i 0.968661 + 0.248386i \(0.0799001\pi\)
−0.637666 + 0.770313i \(0.720100\pi\)
\(84\) 1.21786 + 1.23159i 0.132879 + 0.134378i
\(85\) −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 \(0.981937\pi\)
\(90\) 3.04635 + 2.26591i 0.321113 + 0.238848i
\(91\) −0.121409 + 0.0882090i −0.0127271 + 0.00924681i
\(92\) 4.69599 6.46348i 0.489591 0.673864i
\(93\) 7.68470 1.17302i 0.796866 0.121636i
\(94\) −2.65807 + 0.863658i −0.274159 + 0.0890795i
\(95\) −4.23691 3.07830i −0.434698 0.315826i
\(96\) 0.777671 + 1.54765i 0.0793707 + 0.157957i
\(97\) −3.06249 + 9.42539i −0.310949 + 0.957003i 0.666441 + 0.745558i \(0.267817\pi\)
−0.977390 + 0.211445i \(0.932183\pi\)
\(98\) 1.00000 0.101015
\(99\) 2.81736 9.54267i 0.283155 0.959074i
\(100\) 3.39838 0.339838
\(101\) 0.471591 1.45141i 0.0469250 0.144420i −0.924849 0.380335i \(-0.875809\pi\)
0.971774 + 0.235915i \(0.0758086\pi\)
\(102\) 0.954706 + 1.89997i 0.0945300 + 0.188125i
\(103\) 3.25945 + 2.36813i 0.321164 + 0.233339i 0.736672 0.676250i \(-0.236396\pi\)
−0.415508 + 0.909589i \(0.636396\pi\)
\(104\) −0.142725 + 0.0463742i −0.0139954 + 0.00454737i
\(105\) 2.16690 0.330762i 0.211468 0.0322791i
\(106\) −3.41402 + 4.69899i −0.331599 + 0.456406i
\(107\) 2.67801 1.94569i 0.258893 0.188097i −0.450766 0.892642i \(-0.648849\pi\)
0.709659 + 0.704545i \(0.248849\pi\)
\(108\) −3.61193 3.73550i −0.347558 0.359449i
\(109\) 1.95947i 0.187683i 0.995587 + 0.0938414i \(0.0299147\pi\)
−0.995587 + 0.0938414i \(0.970085\pi\)
\(110\) 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 −0.915843 0.401538i \(-0.868476\pi\)
−0.0988740 0.995100i \(-0.531524\pi\)
\(114\) 5.03975 + 5.09657i 0.472016 + 0.477338i
\(115\) −3.12443 9.61601i −0.291355 0.896697i
\(116\) 1.63671 + 5.03726i 0.151964 + 0.467698i
\(117\) 0.367172 0.260527i 0.0339450 0.0240857i
\(118\) 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
\(123\) 15.0117 + 7.75514i 1.35356 + 0.699258i
\(124\) 3.63099 2.63807i 0.326073 0.236906i
\(125\) 6.24732 8.59870i 0.558778 0.769091i
\(126\) −2.99981 0.0336340i −0.267244 0.00299636i
\(127\) −9.83031 + 3.19406i −0.872299 + 0.283427i −0.710756 0.703439i \(-0.751647\pi\)
−0.161543 + 0.986866i \(0.551647\pi\)
\(128\) 0.809017 + 0.587785i 0.0715077 + 0.0519534i
\(129\) 6.79100 3.41237i 0.597914 0.300443i
\(130\) −0.0586889 + 0.180626i −0.00514736 + 0.0158419i
\(131\) 3.13040 0.273505 0.136752 0.990605i \(-0.456334\pi\)
0.136752 + 0.990605i \(0.456334\pi\)
\(132\) −1.08357 5.64144i −0.0943126 0.491025i
\(133\) 4.13820 0.358828
\(134\) 3.75437 11.5548i 0.324328 0.998179i
\(135\) −6.51142 + 0.919343i −0.560414 + 0.0791244i
\(136\) 0.993188 + 0.721593i 0.0851652 + 0.0618761i
\(137\) −0.810649 + 0.263396i −0.0692584 + 0.0225034i −0.343441 0.939174i \(-0.611593\pi\)
0.274183 + 0.961678i \(0.411593\pi\)
\(138\) 2.08807 + 13.6794i 0.177748 + 1.16447i
\(139\) −4.49572 + 6.18783i −0.381322 + 0.524845i −0.955934 0.293581i \(-0.905153\pi\)
0.574612 + 0.818426i \(0.305153\pi\)
\(140\) 1.02385 0.743872i 0.0865313 0.0628687i
\(141\) 2.22184 4.30083i 0.187112 0.362195i
\(142\) 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
\(147\) −1.23159 + 1.21786i −0.101580 + 0.100447i
\(148\) 2.30915 + 7.10684i 0.189811 + 0.584179i
\(149\) 0.275104 + 0.846682i 0.0225374 + 0.0693629i 0.961693 0.274130i \(-0.0883899\pi\)
−0.939155 + 0.343493i \(0.888390\pi\)
\(150\) −4.18541 + 4.13875i −0.341738 + 0.337928i
\(151\) 8.56766 + 11.7924i 0.697227 + 0.959650i 0.999978 + 0.00658065i \(0.00209470\pi\)
−0.302752 + 0.953069i \(0.597905\pi\)
\(152\) 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
\(156\) 0.119302 0.230933i 0.00955178 0.0184895i
\(157\) 17.4409 12.6716i 1.39194 1.01130i 0.396290 0.918126i \(-0.370298\pi\)
0.995650 0.0931775i \(-0.0297024\pi\)
\(158\) 6.39963 8.80833i 0.509127 0.700753i
\(159\) −1.51804 9.94503i −0.120388 0.788692i
\(160\) 1.20361 0.391077i 0.0951538 0.0309173i
\(161\) 6.46348 + 4.69599i 0.509394 + 0.370096i
\(162\) 8.99774 + 0.201791i 0.706929 + 0.0158542i
\(163\) −2.92839 + 9.01266i −0.229369 + 0.705926i 0.768449 + 0.639911i \(0.221029\pi\)
−0.997819 + 0.0660154i \(0.978971\pi\)
\(164\) 9.75522 0.761755
\(165\) −6.58204 3.08710i −0.512411 0.240330i
\(166\) −9.75840 −0.757399
\(167\) −3.49984 + 10.7714i −0.270826 + 0.833517i 0.719468 + 0.694526i \(0.244386\pi\)
−0.990294 + 0.138991i \(0.955614\pi\)
\(168\) −1.54765 + 0.777671i −0.119404 + 0.0599986i
\(169\) −10.4990 7.62797i −0.807615 0.586767i
\(170\) 1.47761 0.480105i 0.113328 0.0368224i
\(171\) −12.4138 0.139184i −0.949309 0.0106437i
\(172\) 2.57916 3.54991i 0.196659 0.270678i
\(173\) −13.8568 + 10.0675i −1.05351 + 0.765420i −0.972877 0.231324i \(-0.925694\pi\)
−0.0806333 + 0.996744i \(0.525694\pi\)
\(174\) −8.15043 4.21057i −0.617883 0.319202i
\(175\) 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 \(-0.195524\pi\)
−0.800672 + 0.599102i \(0.795524\pi\)
\(180\) −3.09638 + 2.19704i −0.230791 + 0.163758i
\(181\) −5.34329 16.4450i −0.397163 1.22234i −0.927264 0.374409i \(-0.877846\pi\)
0.530100 0.847935i \(-0.322154\pi\)
\(182\) −0.0463742 0.142725i −0.00343749 0.0105795i
\(183\) 3.08592 + 3.12071i 0.228117 + 0.230689i
\(184\) 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
\(189\) 3.73550 3.61193i 0.271718 0.262729i
\(190\) 4.23691 3.07830i 0.307378 0.223323i
\(191\) −6.77637 + 9.32688i −0.490321 + 0.674869i −0.980447 0.196782i \(-0.936951\pi\)
0.490126 + 0.871652i \(0.336951\pi\)
\(192\) −1.71222 + 0.261358i −0.123569 + 0.0188619i
\(193\) −10.3428 + 3.36058i −0.744492 + 0.241900i −0.656609 0.754231i \(-0.728010\pi\)
−0.0878823 + 0.996131i \(0.528010\pi\)
\(194\) −8.01771 5.82521i −0.575638 0.418226i
\(195\) −0.147696 0.293932i −0.0105768 0.0210489i
\(196\) −0.309017 + 0.951057i −0.0220726 + 0.0679326i
\(197\) −9.73907 −0.693880 −0.346940 0.937887i \(-0.612779\pi\)
−0.346940 + 0.937887i \(0.612779\pi\)
\(198\) 8.20500 + 5.62832i 0.583104 + 0.399987i
\(199\) 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
\(201\) 9.44823 + 18.8030i 0.666427 + 1.32626i
\(202\) 1.23464 + 0.897019i 0.0868690 + 0.0631141i
\(203\) −5.03726 + 1.63671i −0.353546 + 0.114874i
\(204\) −2.10200 + 0.320856i −0.147170 + 0.0224644i
\(205\) 7.25664 9.98791i 0.506826 0.697586i
\(206\) −3.25945 + 2.36813i −0.227097 + 0.164996i
\(207\) −19.2313 14.3045i −1.33667 0.994230i
\(208\) 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 0.294776 0.955566i \(-0.404755\pi\)
−0.323189 + 0.946335i \(0.604755\pi\)
\(212\) −3.41402 4.69899i −0.234476 0.322728i
\(213\) −7.65096 7.73722i −0.524235 0.530146i
\(214\) 1.02291 + 3.14819i 0.0699246 + 0.215206i
\(215\) −1.71602 5.28137i −0.117032 0.360186i
\(216\) 4.66882 2.28081i 0.317673 0.155190i
\(217\) 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
\(222\) −11.4991 5.94050i −0.771767 0.398700i
\(223\) −14.7261 + 10.6992i −0.986136 + 0.716470i −0.959071 0.283164i \(-0.908616\pi\)
−0.0270643 + 0.999634i \(0.508616\pi\)
\(224\) −0.587785 + 0.809017i −0.0392731 + 0.0540547i
\(225\) 0.114301 10.1945i 0.00762008 0.679633i
\(226\) 17.4531 5.67084i 1.16096 0.377219i
\(227\) −15.9273 11.5718i −1.05713 0.768049i −0.0835737 0.996502i \(-0.526633\pi\)
−0.973555 + 0.228453i \(0.926633\pi\)
\(228\) −6.40450 + 3.21816i −0.424148 + 0.213128i
\(229\) 3.02746 9.31756i 0.200060 0.615722i −0.799820 0.600240i \(-0.795072\pi\)
0.999880 0.0154820i \(-0.00492827\pi\)
\(230\) 10.1109 0.666691
\(231\) 5.64144 1.08357i 0.371180 0.0712936i
\(232\) −5.29649 −0.347732
\(233\) −9.31781 + 28.6773i −0.610430 + 1.87871i −0.156485 + 0.987680i \(0.550016\pi\)
−0.453945 + 0.891030i \(0.649984\pi\)
\(234\) 0.134313 + 0.429708i 0.00878035 + 0.0280909i
\(235\) −2.86152 2.07902i −0.186665 0.135620i
\(236\) −13.9861 + 4.54436i −0.910419 + 0.295813i
\(237\) 2.84559 + 18.6421i 0.184841 + 1.21094i
\(238\) −0.721593 + 0.993188i −0.0467739 + 0.0643788i
\(239\) 2.40266 1.74564i 0.155415 0.112916i −0.507360 0.861734i \(-0.669379\pi\)
0.662775 + 0.748818i \(0.269379\pi\)
\(240\) −1.00608 + 1.94748i −0.0649422 + 0.125709i
\(241\) 4.21213i 0.271327i 0.990755 + 0.135664i \(0.0433166\pi\)
−0.990755 + 0.135664i \(0.956683\pi\)
\(242\) 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
\(246\) −12.0144 + 11.8805i −0.766013 + 0.757473i
\(247\) −0.191906 0.590626i −0.0122107 0.0375806i
\(248\) 1.38692 + 4.26849i 0.0880693 + 0.271049i
\(249\) 12.0184 11.8844i 0.761633 0.753141i
\(250\) 6.24732 + 8.59870i 0.395115 + 0.543830i
\(251\) −9.73610 3.16345i −0.614537 0.199675i −0.0148239 0.999890i \(-0.504719\pi\)
−0.599713 + 0.800215i \(0.704719\pi\)
\(252\) 0.958981 2.84260i 0.0604101 0.179067i
\(253\) −9.14683 24.8687i −0.575056 1.56348i
\(254\) 10.3362i 0.648551i
\(255\) −1.23511 + 2.39082i −0.0773457 + 0.149719i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −16.0700 + 22.1184i −1.00242 + 1.37971i −0.0785877 + 0.996907i \(0.525041\pi\)
−0.923830 + 0.382803i \(0.874959\pi\)
\(258\) 1.14682 + 7.51310i 0.0713981 + 0.467745i
\(259\) −7.10684 + 2.30915i −0.441598 + 0.143484i
\(260\) −0.153650 0.111633i −0.00952895 0.00692319i
\(261\) 15.1659 4.74038i 0.938744 0.293422i
\(262\) −0.967348 + 2.97719i −0.0597630 + 0.183932i
\(263\) 19.8950 1.22678 0.613391 0.789780i \(-0.289805\pi\)
0.613391 + 0.789780i \(0.289805\pi\)
\(264\) 5.70017 + 0.712766i 0.350821 + 0.0438677i
\(265\) −7.35067 −0.451548
\(266\) −1.27878 + 3.93566i −0.0784067 + 0.241311i
\(267\) 1.65618 0.832207i 0.101357 0.0509302i
\(268\) 9.82907 + 7.14124i 0.600406 + 0.436220i
\(269\) −0.602463 + 0.195752i −0.0367328 + 0.0119352i −0.327326 0.944912i \(-0.606147\pi\)
0.290593 + 0.956847i \(0.406147\pi\)
\(270\) 1.13779 6.47682i 0.0692438 0.394167i
\(271\) 15.4216 21.2260i 0.936796 1.28939i −0.0203534 0.999793i \(-0.506479\pi\)
0.957149 0.289596i \(-0.0935209\pi\)
\(272\) −0.993188 + 0.721593i −0.0602209 + 0.0437530i
\(273\) 0.230933 + 0.119302i 0.0139767 + 0.00722047i
\(274\) 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 0.970184 0.242371i \(-0.0779250\pi\)
0.642433 + 0.766342i \(0.277925\pi\)
\(278\) −4.49572 6.18783i −0.269635 0.371121i
\(279\) −7.79159 10.9810i −0.466470 0.657417i
\(280\) 0.391077 + 1.20361i 0.0233713 + 0.0719295i
\(281\) −1.44118 4.43549i −0.0859735 0.264599i 0.898823 0.438312i \(-0.144424\pi\)
−0.984796 + 0.173713i \(0.944424\pi\)
\(282\) 3.40374 + 3.44212i 0.202690 + 0.204975i
\(283\) 14.3709 + 19.7799i 0.854263 + 1.17579i 0.982907 + 0.184101i \(0.0589375\pi\)
−0.128644 + 0.991691i \(0.541063\pi\)
\(284\) −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
\(288\) 1.79046 2.40713i 0.105504 0.141841i
\(289\) 12.5340 9.10649i 0.737294 0.535676i
\(290\) −3.93991 + 5.42282i −0.231360 + 0.318439i
\(291\) 16.9688 2.59018i 0.994731 0.151839i
\(292\) −10.2324 + 3.32472i −0.598807 + 0.194564i
\(293\) −5.76112 4.18570i −0.336568 0.244531i 0.406644 0.913587i \(-0.366699\pi\)
−0.743212 + 0.669056i \(0.766699\pi\)
\(294\) −0.777671 1.54765i −0.0453547 0.0902609i
\(295\) −5.75113 + 17.7001i −0.334844 + 1.03054i
\(296\) −7.47257 −0.434335
\(297\) −16.9597 + 3.06076i −0.984102 + 0.177603i
\(298\) −0.890254 −0.0515711
\(299\) 0.370497 1.14027i 0.0214264 0.0659437i
\(300\) −2.64282 5.25951i −0.152583 0.303658i
\(301\) 3.54991 + 2.57916i 0.204614 + 0.148661i
\(302\) −13.8628 + 4.50429i −0.797713 + 0.259193i
\(303\) −2.61302 + 0.398859i −0.150114 + 0.0229138i
\(304\) −2.43237 + 3.34788i −0.139506 + 0.192014i
\(305\) 2.59432 1.88489i 0.148551 0.107928i
\(306\) 2.19805 2.95511i 0.125654 0.168932i
\(307\) 25.5876i 1.46036i −0.683253 0.730181i \(-0.739436\pi\)
0.683253 0.730181i \(-0.260564\pi\)
\(308\) 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 \(-0.246235\pi\)
−0.885574 + 0.464498i \(0.846235\pi\)
\(312\) 0.182764 + 0.184825i 0.0103470 + 0.0104637i
\(313\) 4.99132 + 15.3617i 0.282126 + 0.868294i 0.987245 + 0.159206i \(0.0508933\pi\)
−0.705120 + 0.709088i \(0.749107\pi\)
\(314\) 6.66185 + 20.5031i 0.375950 + 1.15705i
\(315\) −2.19704 3.09638i −0.123789 0.174461i
\(316\) 6.39963 + 8.80833i 0.360007 + 0.495507i
\(317\) 16.0129 + 5.20290i 0.899372 + 0.292224i 0.721978 0.691916i \(-0.243233\pi\)
0.177394 + 0.984140i \(0.443233\pi\)
\(318\) 9.92739 + 1.62944i 0.556700 + 0.0913745i
\(319\) 16.9022 + 4.78485i 0.946344 + 0.267900i
\(320\) 1.26555i 0.0707465i
\(321\) −5.09386 2.63152i −0.284311 0.146877i
\(322\) −6.46348 + 4.69599i −0.360196 + 0.261697i
\(323\) −2.98610 + 4.11001i −0.166151 + 0.228687i
\(324\) −2.97237 + 8.49500i −0.165132 + 0.471944i
\(325\) 0.485034 0.157597i 0.0269049 0.00874192i
\(326\) −7.66663 5.57013i −0.424615 0.308501i
\(327\) 3.03257 1.52382i 0.167702 0.0842674i
\(328\) −3.01453 + 9.27777i −0.166450 + 0.512279i
\(329\) 2.79486 0.154085
\(330\) 4.96997 5.30593i 0.273588 0.292082i
\(331\) −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
\(333\) 21.3968 6.68799i 1.17254 0.366500i
\(334\) −9.16271 6.65710i −0.501361 0.364260i
\(335\) 14.6231 4.75135i 0.798948 0.259594i
\(336\) −0.261358 1.71222i −0.0142583 0.0934092i
\(337\) −13.2501 + 18.2372i −0.721779 + 0.993444i 0.277684 + 0.960673i \(0.410433\pi\)
−0.999463 + 0.0327711i \(0.989567\pi\)
\(338\) 10.4990 7.62797i 0.571070 0.414907i
\(339\) −14.5887 + 28.2395i −0.792352 + 1.53376i
\(340\) 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
\(345\) −12.4525 + 12.3136i −0.670418 + 0.662943i
\(346\) −5.29281 16.2896i −0.284543 0.875734i
\(347\) −6.29845 19.3846i −0.338119 1.04062i −0.965165 0.261641i \(-0.915736\pi\)
0.627047 0.778982i \(-0.284264\pi\)
\(348\) 6.52311 6.45038i 0.349675 0.345777i
\(349\) 12.7756 + 17.5842i 0.683864 + 0.941259i 0.999972 0.00746472i \(-0.00237612\pi\)
−0.316108 + 0.948723i \(0.602376\pi\)
\(350\) −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 \(0.894890\pi\)
\(354\) 11.6908 22.6299i 0.621358 1.20277i
\(355\) −6.43215 + 4.67323i −0.341383 + 0.248029i
\(356\) 0.629005 0.865751i 0.0333372 0.0458847i
\(357\) −0.320856 2.10200i −0.0169815 0.111250i
\(358\) −0.357818 + 0.116262i −0.0189113 + 0.00614465i
\(359\) 21.3205 + 15.4903i 1.12526 + 0.817546i 0.984997 0.172569i \(-0.0552068\pi\)
0.140258 + 0.990115i \(0.455207\pi\)
\(360\) −1.13267 3.62376i −0.0596972 0.190989i
\(361\) 0.579492 1.78349i 0.0304996 0.0938681i
\(362\) 17.2912 0.908808
\(363\) −17.5466 7.42412i −0.920956 0.389665i
\(364\) 0.150070 0.00786581
\(365\) −4.20760 + 12.9497i −0.220236 + 0.677816i
\(366\) −3.92157 + 1.97053i −0.204984 + 0.103001i
\(367\) 14.4897 + 10.5274i 0.756357 + 0.549525i 0.897791 0.440422i \(-0.145171\pi\)
−0.141434 + 0.989948i \(0.545171\pi\)
\(368\) −7.59828 + 2.46883i −0.396088 + 0.128697i
\(369\) 0.328107 29.2638i 0.0170806 1.52341i
\(370\) −5.55864 + 7.65081i −0.288980 + 0.397747i
\(371\) 4.69899 3.41402i 0.243959 0.177247i
\(372\) −6.90654 3.56796i −0.358087 0.184990i
\(373\) 11.2227i 0.581089i 0.956862 + 0.290544i \(0.0938364\pi\)
−0.956862 + 0.290544i \(0.906164\pi\)
\(374\) 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
\(378\) 2.28081 + 4.66882i 0.117312 + 0.240138i
\(379\) 5.42840 + 16.7069i 0.278838 + 0.858176i 0.988178 + 0.153310i \(0.0489932\pi\)
−0.709340 + 0.704867i \(0.751007\pi\)
\(380\) 1.61836 + 4.98079i 0.0830199 + 0.255509i
\(381\) 12.5880 + 12.7300i 0.644905 + 0.652176i
\(382\) −6.77637 9.32688i −0.346709 0.477205i
\(383\) 23.9018 + 7.76617i 1.22133 + 0.396833i 0.847565 0.530692i \(-0.178068\pi\)
0.373761 + 0.927525i \(0.378068\pi\)
\(384\) 0.280538 1.70918i 0.0143162 0.0872213i
\(385\) −0.160670 4.19428i −0.00818850 0.213760i
\(386\) 10.8751i 0.553527i
\(387\) −10.5623 7.85640i −0.536913 0.399363i
\(388\) 8.01771 5.82521i 0.407038 0.295730i
\(389\) 6.53645 8.99665i 0.331411 0.456148i −0.610497 0.792018i \(-0.709030\pi\)
0.941908 + 0.335870i \(0.109030\pi\)
\(390\) 0.325187 0.0496375i 0.0164665 0.00251349i
\(391\) −9.32801 + 3.03085i −0.471738 + 0.153277i
\(392\) −0.809017 0.587785i −0.0408615 0.0296876i
\(393\) −2.43443 4.84478i −0.122801 0.244387i
\(394\) 3.00954 9.26241i 0.151618 0.466633i
\(395\) 13.7789 0.693294
\(396\) −7.88833 + 6.06418i −0.396404 + 0.304736i
\(397\) 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
\(399\) −3.21816 6.40450i −0.161110 0.320626i
\(400\) −2.74935 1.99752i −0.137467 0.0998759i
\(401\) 5.07008 1.64737i 0.253188 0.0822656i −0.179673 0.983726i \(-0.557504\pi\)
0.432861 + 0.901461i \(0.357504\pi\)
\(402\) −20.8024 + 3.17534i −1.03753 + 0.158372i
\(403\) 0.395896 0.544904i 0.0197210 0.0271436i
\(404\) −1.23464 + 0.897019i −0.0614257 + 0.0446284i
\(405\) 6.48656 + 9.36246i 0.322320 + 0.465225i
\(406\) 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 −0.0957990 0.995401i \(-0.530541\pi\)
−0.662585 + 0.748987i \(0.730541\pi\)
\(410\) 7.25664 + 9.98791i 0.358380 + 0.493268i
\(411\) 1.03806 + 1.04977i 0.0512039 + 0.0517812i
\(412\) −1.24500 3.83172i −0.0613368 0.188775i
\(413\) −4.54436 13.9861i −0.223614 0.688212i
\(414\) 19.5472 13.8697i 0.960691 0.681659i
\(415\) −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 \(-0.151459\pi\)
\(420\) −1.94748 1.00608i −0.0950271 0.0490917i
\(421\) 6.14224 4.46260i 0.299355 0.217494i −0.427961 0.903797i \(-0.640768\pi\)
0.727315 + 0.686304i \(0.240768\pi\)
\(422\) 0.255070 0.351073i 0.0124166 0.0170900i
\(423\) −8.38404 0.0940023i −0.407646 0.00457055i
\(424\) 5.52399 1.79485i 0.268269 0.0871659i
\(425\) −3.37523 2.45225i −0.163723 0.118952i
\(426\) 9.72281 4.88556i 0.471072 0.236706i
\(427\) −0.783013 + 2.40987i −0.0378927 + 0.116622i
\(428\) −3.31020 −0.160005
\(429\) −0.416270 0.754926i −0.0200977 0.0364482i
\(430\) 5.55316 0.267797
\(431\) −7.03075 + 21.6384i −0.338659 + 1.04229i 0.626232 + 0.779637i \(0.284596\pi\)
−0.964891 + 0.262649i \(0.915404\pi\)
\(432\) 0.726437 + 5.14512i 0.0349507 + 0.247545i
\(433\) 8.15913 + 5.92796i 0.392103 + 0.284879i 0.766317 0.642463i \(-0.222087\pi\)
−0.374214 + 0.927342i \(0.622087\pi\)
\(434\) −4.26849 + 1.38692i −0.204894 + 0.0665741i
\(435\) −1.75188 11.4770i −0.0839962 0.550278i
\(436\) 1.15175 1.58524i 0.0551586 0.0759193i
\(437\) −26.7472 + 19.4330i −1.27949 + 0.929605i
\(438\) 8.55312 16.5563i 0.408684 0.791093i
\(439\) 2.63248i 0.125641i −0.998025 0.0628206i \(-0.979990\pi\)
0.998025 0.0628206i \(-0.0200096\pi\)
\(440\) 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 \(-0.359814\pi\)
−0.992041 + 0.125913i \(0.959814\pi\)
\(444\) 9.20316 9.10055i 0.436762 0.431893i
\(445\) −0.418502 1.28802i −0.0198389 0.0610578i
\(446\) −5.62489 17.3116i −0.266346 0.819729i
\(447\) 1.09643 1.08421i 0.0518593 0.0512812i
\(448\) −0.587785 0.809017i −0.0277702 0.0382225i
\(449\) 24.5056 + 7.96236i 1.15649 + 0.375767i 0.823585 0.567193i \(-0.191970\pi\)
0.332907 + 0.942960i \(0.391970\pi\)
\(450\) 9.66022 + 3.25898i 0.455387 + 0.153630i
\(451\) 18.0015 26.8840i 0.847660 1.26592i
\(452\) 18.3512i 0.863169i
\(453\) 11.5877 22.4304i 0.544437 1.05387i
\(454\) 15.9273 11.5718i 0.747503 0.543093i
\(455\) 0.111633 0.153650i 0.00523344 0.00720321i
\(456\) −1.08155 7.08551i −0.0506484 0.331809i
\(457\) −22.5834 + 7.33780i −1.05641 + 0.343248i −0.785180 0.619268i \(-0.787430\pi\)
−0.271228 + 0.962515i \(0.587430\pi\)
\(458\) 7.92599 + 5.75857i 0.370357 + 0.269080i
\(459\) 0.891809 + 6.31640i 0.0416261 + 0.294824i
\(460\) −3.12443 + 9.61601i −0.145677 + 0.448349i
\(461\) −2.78562 −0.129739 −0.0648696 0.997894i \(-0.520663\pi\)
−0.0648696 + 0.997894i \(0.520663\pi\)
\(462\) −0.712766 + 5.70017i −0.0331609 + 0.265196i
\(463\) −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
\(465\) −8.79065 + 4.41716i −0.407657 + 0.204841i
\(466\) −24.3943 17.7235i −1.13005 0.821026i
\(467\) 5.15927 1.67635i 0.238743 0.0775722i −0.187202 0.982321i \(-0.559942\pi\)
0.425945 + 0.904749i \(0.359942\pi\)
\(468\) −0.450182 0.00504746i −0.0208097 0.000233319i
\(469\) −7.14124 + 9.82907i −0.329752 + 0.453864i
\(470\) 2.86152 2.07902i 0.131992 0.0958979i
\(471\) −33.1745 17.1382i −1.52860 0.789686i
\(472\) 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
\(477\) −14.2109 + 10.0834i −0.650673 + 0.461685i
\(478\) 0.917735 + 2.82450i 0.0419762 + 0.129190i
\(479\) −8.33856 25.6634i −0.380998 1.17259i −0.939342 0.342983i \(-0.888563\pi\)
0.558343 0.829610i \(-0.311437\pi\)
\(480\) −1.54126 1.55864i −0.0703488 0.0711420i
\(481\) 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
\(486\) −6.68498 14.0823i −0.303237 0.638786i
\(487\) 14.1964 10.3143i 0.643299 0.467384i −0.217683 0.976019i \(-0.569850\pi\)
0.860982 + 0.508636i \(0.169850\pi\)
\(488\) −1.48938 + 2.04995i −0.0674210 + 0.0927971i
\(489\) 16.2258 2.47675i 0.733756 0.112003i
\(490\) −1.20361 + 0.391077i −0.0543736 + 0.0176671i
\(491\) 27.3069 + 19.8396i 1.23234 + 0.895351i 0.997064 0.0765768i \(-0.0243990\pi\)
0.235281 + 0.971927i \(0.424399\pi\)
\(492\) −7.58635 15.0977i −0.342019 0.680656i
\(493\) 2.00930 6.18398i 0.0904942 0.278513i
\(494\) 0.621020 0.0279410
\(495\) 0.340909 + 12.5875i 0.0153227 + 0.565764i
\(496\) −4.48815 −0.201524
\(497\) 1.94134 5.97482i 0.0870809 0.268007i
\(498\) 7.58882 + 15.1026i 0.340063 + 0.676764i
\(499\) 6.19831 + 4.50333i 0.277474 + 0.201597i 0.717815 0.696234i \(-0.245142\pi\)
−0.440341 + 0.897831i \(0.645142\pi\)
\(500\) −10.1084 + 3.28441i −0.452061 + 0.146883i
\(501\) 19.3921 2.96007i 0.866376 0.132246i
\(502\) 6.01724 8.28202i 0.268563 0.369645i
\(503\) 7.37887 5.36106i 0.329008 0.239038i −0.411002 0.911635i \(-0.634821\pi\)
0.740009 + 0.672596i \(0.234821\pi\)
\(504\) 2.40713 + 1.79046i 0.107222 + 0.0797532i
\(505\) 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 −0.953891 0.300152i \(-0.902962\pi\)
0.00930679 0.999957i \(-0.497038\pi\)
\(510\) −1.89213 1.91346i −0.0837849 0.0847296i
\(511\) −3.32472 10.2324i −0.147077 0.452656i
\(512\) −0.309017 0.951057i −0.0136568 0.0420312i
\(513\) 9.43847 + 19.3205i 0.416718 + 0.853022i
\(514\) −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
\(519\) 26.3570 + 13.6162i 1.15695 + 0.597686i
\(520\) 0.153650 0.111633i 0.00673798 0.00489543i
\(521\) 8.17594 11.2532i 0.358194 0.493012i −0.591450 0.806342i \(-0.701444\pi\)
0.949645 + 0.313329i \(0.101444\pi\)
\(522\) −0.178142 + 15.8885i −0.00779707 + 0.695419i
\(523\) 10.1304 3.29157i 0.442971 0.143930i −0.0790347 0.996872i \(-0.525184\pi\)
0.522006 + 0.852942i \(0.325184\pi\)
\(524\) −2.53255 1.84001i −0.110635 0.0803810i
\(525\) 5.25951 2.64282i 0.229544 0.115342i
\(526\) −6.14791 + 18.9213i −0.268062 + 0.825009i
\(527\) −5.50987 −0.240014
\(528\) −2.43933 + 5.20093i −0.106158 + 0.226341i
\(529\) −40.8289 −1.77517
\(530\) 2.27148 6.99090i 0.0986668 0.303665i
\(531\) 13.1618 + 42.1086i 0.571175 + 1.82736i
\(532\) −3.34788 2.43237i −0.145149 0.105457i
\(533\) 1.39232 0.452391i 0.0603079 0.0195952i
\(534\) 0.279687 + 1.83229i 0.0121032 + 0.0792910i
\(535\) −2.46237 + 3.38916i −0.106457 + 0.146526i
\(536\) −9.82907 + 7.14124i −0.424551 + 0.308454i
\(537\) 0.299095 0.578960i 0.0129069 0.0249840i
\(538\) 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 0.503427 0.864038i \(-0.332072\pi\)
−0.100587 + 0.994928i \(0.532072\pi\)
\(542\) 15.4216 + 21.2260i 0.662415 + 0.911735i
\(543\) −21.2957 + 21.0583i −0.913888 + 0.903699i
\(544\) −0.379364 1.16756i −0.0162651 0.0500588i
\(545\) −0.766302 2.35843i −0.0328248 0.101024i
\(546\) −0.184825 + 0.182764i −0.00790978 + 0.00782159i
\(547\) 0.276221 + 0.380186i 0.0118104 + 0.0162556i 0.814881 0.579628i \(-0.196802\pi\)
−0.803071 + 0.595883i \(0.796802\pi\)
\(548\) 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
\(552\) 6.35128 12.2942i 0.270328 0.523277i
\(553\) −8.80833 + 6.39963i −0.374568 + 0.272140i
\(554\) −16.5876 + 22.8309i −0.704739 + 0.969991i
\(555\) −2.47165 16.1923i −0.104916 0.687326i
\(556\) 7.27423 2.36354i 0.308496 0.100236i
\(557\) −7.59992 5.52167i −0.322019 0.233961i 0.415017 0.909813i \(-0.363775\pi\)
−0.737037 + 0.675853i \(0.763775\pi\)
\(558\) 12.8513 4.01692i 0.544039 0.170050i
\(559\) 0.203487 0.626269i 0.00860659 0.0264883i
\(560\) −1.26555 −0.0534793
\(561\) −2.99464 + 6.38491i −0.126434 + 0.269571i
\(562\) 4.66375 0.196728
\(563\) −12.2573 + 37.7240i −0.516583 + 1.58988i 0.263800 + 0.964577i \(0.415024\pi\)
−0.780383 + 0.625302i \(0.784976\pi\)
\(564\) −4.32547 + 2.17348i −0.182135 + 0.0915200i
\(565\) 18.7890 + 13.6510i 0.790457 + 0.574301i
\(566\) −23.2527 + 7.55524i −0.977382 + 0.317571i
\(567\) −8.49500 2.97237i −0.356756 0.124828i
\(568\) 3.69264 5.08249i 0.154940 0.213256i
\(569\) 14.1470 10.2784i 0.593073 0.430893i −0.250340 0.968158i \(-0.580542\pi\)
0.843414 + 0.537265i \(0.180542\pi\)
\(570\) −8.05905 4.16336i −0.337557 0.174384i
\(571\) 42.0315i 1.75896i 0.475934 + 0.879481i \(0.342110\pi\)
−0.475934 + 0.879481i \(0.657890\pi\)
\(572\) −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
\(576\) 1.73603 + 2.44667i 0.0723348 + 0.101945i
\(577\) 2.37227 + 7.30108i 0.0987587 + 0.303948i 0.988215 0.153072i \(-0.0489167\pi\)
−0.889456 + 0.457020i \(0.848917\pi\)
\(578\) 4.78756 + 14.7346i 0.199136 + 0.612879i
\(579\) 13.2443 + 13.3936i 0.550415 + 0.556621i
\(580\) −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
\(585\) −0.340046 + 0.457165i −0.0140592 + 0.0189015i
\(586\) 5.76112 4.18570i 0.237990 0.172910i
\(587\) 23.2807 32.0431i 0.960898 1.32256i 0.0143847 0.999897i \(-0.495421\pi\)
0.946513 0.322666i \(-0.104579\pi\)
\(588\) 1.71222 0.261358i 0.0706107 0.0107782i
\(589\) −17.6639 + 5.73934i −0.727827 + 0.236485i
\(590\) −15.0566 10.9393i −0.619872 0.450364i
\(591\) 7.57379 + 15.0727i 0.311544 + 0.620008i
\(592\) 2.30915 7.10684i 0.0949056 0.292089i
\(593\) −0.505509 −0.0207588 −0.0103794 0.999946i \(-0.503304\pi\)
−0.0103794 + 0.999946i \(0.503304\pi\)
\(594\) 2.32988 17.0755i 0.0955963 0.700615i
\(595\) −1.55365 −0.0636935
\(596\) 0.275104 0.846682i 0.0112687 0.0346815i
\(597\) −14.8833 29.6193i −0.609131 1.21224i
\(598\) 0.969975 + 0.704728i 0.0396652 + 0.0288185i
\(599\) −7.13291 + 2.31762i −0.291443 + 0.0946956i −0.451090 0.892479i \(-0.648965\pi\)
0.159647 + 0.987174i \(0.448965\pi\)
\(600\) 5.81877 0.888195i 0.237550 0.0362604i
\(601\) −25.9777 + 35.7552i −1.05965 + 1.45849i −0.179521 + 0.983754i \(0.557455\pi\)
−0.880131 + 0.474732i \(0.842545\pi\)
\(602\) −3.54991 + 2.57916i −0.144684 + 0.105119i
\(603\) 21.7530 29.2452i 0.885849 1.19095i
\(604\) 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 0.0695446 0.997579i \(-0.477845\pi\)
−0.530099 + 0.847936i \(0.677845\pi\)
\(608\) −2.43237 3.34788i −0.0986458 0.135774i
\(609\) 6.45038 + 6.52311i 0.261383 + 0.264330i
\(610\) 0.990943 + 3.04981i 0.0401221 + 0.123483i
\(611\) −0.129609 0.398896i −0.00524343 0.0161376i
\(612\) 2.13124 + 3.00365i 0.0861502 + 0.121415i
\(613\) −23.1639 31.8824i −0.935581 1.28772i −0.957642 0.287961i \(-0.907023\pi\)
0.0220609 0.999757i \(-0.492977\pi\)
\(614\) 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 \(0.903759\pi\)
\(618\) 6.19983 + 3.20287i 0.249394 + 0.128838i
\(619\) 11.0014 7.99297i 0.442183 0.321264i −0.344319 0.938853i \(-0.611890\pi\)
0.786502 + 0.617588i \(0.211890\pi\)
\(620\) −3.33861 + 4.59521i −0.134082 + 0.184548i
\(621\) −7.18276 + 40.8875i −0.288234 + 1.64076i
\(622\) 4.85519 1.57755i 0.194675 0.0632538i
\(623\) 0.865751 + 0.629005i 0.0346856 + 0.0252005i
\(624\) −0.232256 + 0.116705i −0.00929769 + 0.00467195i
\(625\) 1.09419 3.36758i 0.0437677 0.134703i
\(626\) −16.1522 −0.645573
\(627\) −2.94957 + 23.5885i −0.117795 + 0.942033i
\(628\) −21.5582 −0.860266
\(629\) 2.83483 8.72470i 0.113032 0.347876i
\(630\) 3.62376 1.13267i 0.144374 0.0451268i
\(631\) 38.2813 + 27.8130i 1.52395 + 1.10722i 0.959483 + 0.281766i \(0.0909201\pi\)
0.564472 + 0.825452i \(0.309080\pi\)
\(632\) −10.3548 + 3.36448i −0.411892 + 0.133832i
\(633\) 0.113417 + 0.743018i 0.00450790 + 0.0295323i
\(634\) −9.89650 + 13.6214i −0.393040 + 0.540973i
\(635\) 10.5827 7.68882i 0.419963 0.305121i
\(636\) −4.61742 + 8.93798i −0.183093 + 0.354414i
\(637\) 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 \(-0.313745\pi\)
−0.963509 + 0.267674i \(0.913745\pi\)
\(642\) 4.07681 4.03136i 0.160899 0.159105i
\(643\) −10.2501 31.5465i −0.404223 1.24407i −0.921542 0.388279i \(-0.873070\pi\)
0.517319 0.855793i \(-0.326930\pi\)
\(644\) −2.46883 7.59828i −0.0972855 0.299414i
\(645\) −6.83922 + 6.76297i −0.269294 + 0.266292i
\(646\) −2.98610 4.11001i −0.117487 0.161706i
\(647\) 35.8161 + 11.6374i 1.40808 + 0.457512i 0.911793 0.410650i \(-0.134698\pi\)
0.496282 + 0.868161i \(0.334698\pi\)
\(648\) −7.16071 5.45199i −0.281299 0.214174i
\(649\) −13.2853 + 46.9296i −0.521493 + 1.84215i
\(650\) 0.509995i 0.0200037i
\(651\) 3.56796 6.90654i 0.139840 0.270688i
\(652\) 7.66663 5.57013i 0.300248 0.218143i
\(653\) −23.9367 + 32.9460i −0.936715 + 1.28928i 0.0204664 + 0.999791i \(0.493485\pi\)
−0.957182 + 0.289488i \(0.906515\pi\)
\(654\) 0.512123 + 3.35503i 0.0200256 + 0.131192i
\(655\) −3.76779 + 1.22423i −0.147220 + 0.0478346i
\(656\) −7.89214 5.73398i −0.308136 0.223874i
\(657\) 9.62936 + 30.8072i 0.375677 + 1.20190i
\(658\) −0.863658 + 2.65807i −0.0336689 + 0.103622i
\(659\) −3.77335 −0.146989 −0.0734945 0.997296i \(-0.523415\pi\)
−0.0734945 + 0.997296i \(0.523415\pi\)
\(660\) 3.51043 + 6.36634i 0.136643 + 0.247810i
\(661\) 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
\(663\) −0.285129 + 0.143273i −0.0110735 + 0.00556426i
\(664\) 7.89471 + 5.73584i 0.306374 + 0.222594i
\(665\) −4.98079 + 1.61836i −0.193147 + 0.0627571i
\(666\) −0.251333 + 22.4163i −0.00973895 + 0.868614i
\(667\) 24.8723 34.2337i 0.963058 1.32554i
\(668\) 9.16271 6.65710i 0.354516 0.257571i
\(669\) 28.0107 + 14.4705i 1.08296 + 0.559463i
\(670\) 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 −0.365907 0.930652i \(-0.619241\pi\)
−0.843048 + 0.537838i \(0.819241\pi\)
\(674\) −13.2501 18.2372i −0.510375 0.702471i
\(675\) −15.8664 + 7.75107i −0.610699 + 0.298339i
\(676\) 4.01026 + 12.3423i 0.154241 + 0.474704i
\(677\) −0.576976 1.77575i −0.0221750 0.0682476i 0.939357 0.342942i \(-0.111423\pi\)
−0.961532 + 0.274694i \(0.911423\pi\)
\(678\) −22.3492 22.6012i −0.858317 0.867995i
\(679\) 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 \(0.727573\pi\)
\(684\) 9.96119 + 7.40927i 0.380876 + 0.283300i
\(685\) 0.872697 0.634052i 0.0333441 0.0242259i
\(686\) 0.587785 0.809017i 0.0224417 0.0308884i
\(687\) −16.7747 + 2.56054i −0.639995 + 0.0976909i
\(688\) −4.17318 + 1.35595i −0.159101 + 0.0516950i
\(689\) −0.705178 0.512342i −0.0268651 0.0195187i
\(690\) −7.86293 15.6481i −0.299337 0.595713i
\(691\) 6.90773 21.2598i 0.262783 0.808762i −0.729413 0.684073i \(-0.760207\pi\)
0.992196 0.124688i \(-0.0397931\pi\)
\(692\) 17.1279 0.651105
\(693\) −6.06418 7.88833i −0.230359 0.299653i
\(694\) 20.3822 0.773699
\(695\) 2.99118 9.20591i 0.113462 0.349200i
\(696\) 4.11893 + 8.19712i 0.156128 + 0.310711i
\(697\) −9.68877 7.03930i −0.366988 0.266633i
\(698\) −20.6714 + 6.71655i −0.782425 + 0.254225i
\(699\) 51.6286 7.88075i 1.95277 0.298077i
\(700\) 1.99752 2.74935i 0.0754991 0.103916i
\(701\) −36.2208 + 26.3160i −1.36804 + 0.993941i −0.370155 + 0.928970i \(0.620695\pi\)
−0.997887 + 0.0649706i \(0.979305\pi\)
\(702\) 0.560587 0.542042i 0.0211580 0.0204581i
\(703\) 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
\(708\) 17.9097 + 18.1116i 0.673088 + 0.680677i
\(709\) −8.93914 27.5119i −0.335717 1.03323i −0.966368 0.257163i \(-0.917212\pi\)
0.630651 0.776066i \(-0.282788\pi\)
\(710\) −2.45686 7.56144i −0.0922044 0.283776i
\(711\) 26.6386 18.9014i 0.999025 0.708858i
\(712\) 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
\(717\) −4.57012 2.36095i −0.170674 0.0881714i
\(718\) −21.3205 + 15.4903i −0.795676 + 0.578092i
\(719\) 11.0692 15.2355i 0.412812 0.568187i −0.551090 0.834446i \(-0.685788\pi\)
0.963901 + 0.266259i \(0.0857877\pi\)
\(720\) 3.79642 + 0.0425656i 0.141484 + 0.00158633i
\(721\) 3.83172 1.24500i 0.142701 0.0463663i
\(722\) 1.51713 + 1.10226i 0.0564617 + 0.0410219i
\(723\) 6.51891 3.27565i 0.242441 0.121823i
\(724\) −5.34329 + 16.4450i −0.198582 + 0.611172i
\(725\) 17.9995 0.668484
\(726\) 12.4830 14.3936i 0.463286 0.534197i
\(727\) 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
\(729\) 25.3834 + 9.20227i 0.940127 + 0.340825i
\(730\) −11.0156 8.00333i −0.407707 0.296216i
\(731\) −5.12319 + 1.66463i −0.189488 + 0.0615684i
\(732\) −0.662251 4.33856i −0.0244775 0.160358i
\(733\) 4.64612 6.39483i 0.171608 0.236199i −0.714546 0.699588i \(-0.753367\pi\)
0.886155 + 0.463389i \(0.153367\pi\)
\(734\) −14.4897 + 10.5274i −0.534825 + 0.388573i
\(735\) 1.00608 1.94748i 0.0371098 0.0718338i
\(736\) 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 −0.303263 0.952907i \(-0.598076\pi\)
−0.805449 + 0.592665i \(0.798076\pi\)
\(740\) −5.55864 7.65081i −0.204340 0.281250i
\(741\) −0.764843 + 0.756316i −0.0280972 + 0.0277840i
\(742\) 1.79485 + 5.52399i 0.0658912 + 0.202792i
\(743\) 8.62955 + 26.5590i 0.316587 + 0.974356i 0.975096 + 0.221783i \(0.0711876\pi\)
−0.658509 + 0.752573i \(0.728812\pi\)
\(744\) 5.52757 5.46594i 0.202651 0.200391i
\(745\) −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
\(750\) 8.44944 16.3556i 0.308530 0.597224i
\(751\) −39.9326 + 29.0127i −1.45716 + 1.05869i −0.473068 + 0.881026i \(0.656854\pi\)
−0.984091 + 0.177662i \(0.943146\pi\)
\(752\) −1.64278 + 2.26109i −0.0599059 + 0.0824533i
\(753\) 2.67556 + 17.5282i 0.0975029 + 0.638764i
\(754\) −0.755942 + 0.245620i −0.0275298 + 0.00894497i
\(755\) −14.9239 10.8428i −0.543135 0.394611i
\(756\) −5.14512 + 0.726437i −0.187126 + 0.0264202i
\(757\) 4.52610 13.9299i 0.164504 0.506291i −0.834495 0.551015i \(-0.814241\pi\)
0.998999 + 0.0447237i \(0.0142408\pi\)
\(758\) −17.5667 −0.638051
\(759\) −31.3749 + 33.4958i −1.13884 + 1.21582i
\(760\) −5.23711 −0.189970
\(761\) 2.71038 8.34169i 0.0982512 0.302386i −0.889836 0.456280i \(-0.849181\pi\)
0.988087 + 0.153894i \(0.0491815\pi\)
\(762\) −15.9968 + 8.03816i −0.579505 + 0.291192i
\(763\) 1.58524 + 1.15175i 0.0573896 + 0.0416960i
\(764\) 10.9644 3.56255i 0.396678 0.128889i
\(765\) 4.66066 + 0.0522556i 0.168507 + 0.00188930i
\(766\) −14.7721 + 20.3321i −0.533739 + 0.734629i
\(767\) −1.78543 + 1.29719i −0.0644681 + 0.0468388i
\(768\) 1.53884 + 0.794973i 0.0555280 + 0.0286861i
\(769\) 7.95794i 0.286971i 0.989652 + 0.143485i \(0.0458310\pi\)
−0.989652 + 0.143485i \(0.954169\pi\)
\(770\) 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 \(-0.219530\pi\)