Properties

Label 43.2.e.b.21.1
Level $43$
Weight $2$
Character 43.21
Analytic conductor $0.343$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{14})\)
Defining polynomial: \(x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 21.1
Root \(-0.623490 + 0.781831i\) of defining polynomial
Character \(\chi\) \(=\) 43.21
Dual form 43.2.e.b.41.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.240787i) q^{2} +(0.178448 - 0.0859360i) q^{3} +(-1.05496 - 1.32288i) q^{4} +(0.445042 + 1.94986i) q^{5} +0.109916 q^{6} -2.55496 q^{7} +(-0.455927 - 1.99755i) q^{8} +(-1.84601 + 2.31482i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.240787i) q^{2} +(0.178448 - 0.0859360i) q^{3} +(-1.05496 - 1.32288i) q^{4} +(0.445042 + 1.94986i) q^{5} +0.109916 q^{6} -2.55496 q^{7} +(-0.455927 - 1.99755i) q^{8} +(-1.84601 + 2.31482i) q^{9} +(-0.246980 + 1.08209i) q^{10} +(2.95593 - 3.70662i) q^{11} +(-0.301938 - 0.145406i) q^{12} +(-0.143104 - 0.626980i) q^{13} +(-1.27748 - 0.615201i) q^{14} +(0.246980 + 0.309703i) q^{15} +(-0.500000 + 2.19064i) q^{16} +(-0.246980 + 1.08209i) q^{17} +(-1.48039 + 0.712916i) q^{18} +(3.33997 + 4.18819i) q^{19} +(2.10992 - 2.64575i) q^{20} +(-0.455927 + 0.219563i) q^{21} +(2.37047 - 1.14156i) q^{22} +(3.27144 - 4.10225i) q^{23} +(-0.253020 - 0.317278i) q^{24} +(0.900969 - 0.433884i) q^{25} +(0.0794168 - 0.347948i) q^{26} +(-0.262709 + 1.15100i) q^{27} +(2.69537 + 3.37989i) q^{28} +(0.821552 + 0.395639i) q^{29} +(0.0489173 + 0.214321i) q^{30} +(-5.37047 - 2.58628i) q^{31} +(-3.33244 + 4.17874i) q^{32} +(0.208947 - 0.915458i) q^{33} +(-0.384043 + 0.481575i) q^{34} +(-1.13706 - 4.98180i) q^{35} +5.00969 q^{36} -11.3937 q^{37} +(0.661522 + 2.89832i) q^{38} +(-0.0794168 - 0.0995855i) q^{39} +(3.69202 - 1.77798i) q^{40} +(6.99396 + 3.36811i) q^{41} -0.280831 q^{42} +(-5.45593 - 3.63770i) q^{43} -8.02177 q^{44} +(-5.33513 - 2.56926i) q^{45} +(2.62349 - 1.26341i) q^{46} +(-0.623490 - 0.781831i) q^{47} +(0.0990311 + 0.433884i) q^{48} -0.472189 q^{49} +0.554958 q^{50} +(0.0489173 + 0.214321i) q^{51} +(-0.678448 + 0.850747i) q^{52} +(-1.72252 + 7.54686i) q^{53} +(-0.408502 + 0.512245i) q^{54} +(8.54288 + 4.11403i) q^{55} +(1.16487 + 5.10365i) q^{56} +(0.955927 + 0.460350i) q^{57} +(0.315511 + 0.395639i) q^{58} +(1.85474 - 8.12615i) q^{59} +(0.149145 - 0.653447i) q^{60} +(7.11745 - 3.42758i) q^{61} +(-2.06249 - 2.58628i) q^{62} +(4.71648 - 5.91428i) q^{63} +(1.37651 - 0.662892i) q^{64} +(1.15883 - 0.558065i) q^{65} +(0.324904 - 0.407417i) q^{66} +(0.291053 + 0.364968i) q^{67} +(1.69202 - 0.814835i) q^{68} +(0.231250 - 1.01317i) q^{69} +(0.631023 - 2.76469i) q^{70} +(5.91185 + 7.41323i) q^{71} +(5.46562 + 2.63210i) q^{72} +(2.82155 + 12.3620i) q^{73} +(-5.69687 - 2.74347i) q^{74} +(0.123490 - 0.154851i) q^{75} +(2.01693 - 8.83673i) q^{76} +(-7.55227 + 9.47025i) q^{77} +(-0.0157295 - 0.0689153i) q^{78} -5.09783 q^{79} -4.49396 q^{80} +(-1.92447 - 8.43165i) q^{81} +(2.68598 + 3.36811i) q^{82} +(-13.4438 + 6.47421i) q^{83} +(0.771438 + 0.371505i) q^{84} -2.21983 q^{85} +(-1.85205 - 3.13257i) q^{86} +0.180604 q^{87} +(-8.75182 - 4.21466i) q^{88} +(15.3300 - 7.38256i) q^{89} +(-2.04892 - 2.56926i) q^{90} +(0.365625 + 1.60191i) q^{91} -8.87800 q^{92} -1.18060 q^{93} +(-0.123490 - 0.541044i) q^{94} +(-6.67994 + 8.37638i) q^{95} +(-0.235562 + 1.03206i) q^{96} +(10.3218 - 12.9432i) q^{97} +(-0.236094 - 0.113697i) q^{98} +(3.12349 + 13.6849i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q + 3q^{2} - 3q^{3} - 7q^{4} + 2q^{5} + 2q^{6} - 16q^{7} + q^{8} - 6q^{9} + O(q^{10}) \) \( 6q + 3q^{2} - 3q^{3} - 7q^{4} + 2q^{5} + 2q^{6} - 16q^{7} + q^{8} - 6q^{9} + 8q^{10} + 14q^{11} + 7q^{12} - 9q^{13} - 8q^{14} - 8q^{15} - 3q^{16} + 8q^{17} + 4q^{18} - 4q^{19} + 14q^{20} + q^{21} + q^{23} - 11q^{24} + q^{25} - 8q^{26} + 33q^{27} + 28q^{28} + 9q^{29} - 18q^{30} - 18q^{31} - 21q^{32} + 7q^{33} + 18q^{34} + 4q^{35} - 14q^{36} - 4q^{37} - 16q^{38} + 8q^{39} + 12q^{40} + 23q^{41} - 24q^{42} - 29q^{43} - 42q^{44} - 30q^{45} + 11q^{46} + q^{47} + 5q^{48} + 10q^{49} + 4q^{50} - 18q^{51} - 10q^{53} + 27q^{54} + 14q^{55} + 9q^{56} + 2q^{57} - 13q^{58} + 22q^{59} + 28q^{60} + 19q^{61} + 12q^{62} + 9q^{63} + 13q^{64} - 10q^{65} + 28q^{66} - 4q^{67} + 17q^{69} - 26q^{70} + 28q^{71} - 15q^{72} + 21q^{73} - 2q^{74} - 4q^{75} + 28q^{76} - 49q^{77} + 25q^{78} + 6q^{79} - 8q^{80} - 58q^{81} - 13q^{82} - 39q^{83} - 14q^{84} - 16q^{85} - 25q^{86} - 22q^{87} - 21q^{88} + 11q^{89} + 6q^{90} + 10q^{91} - 14q^{92} + 16q^{93} + 4q^{94} + 8q^{95} + 21q^{96} - 19q^{97} + 5q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.240787i 0.353553 + 0.170262i 0.602227 0.798325i \(-0.294280\pi\)
−0.248673 + 0.968587i \(0.579995\pi\)
\(3\) 0.178448 0.0859360i 0.103027 0.0496152i −0.381660 0.924303i \(-0.624648\pi\)
0.484687 + 0.874687i \(0.338933\pi\)
\(4\) −1.05496 1.32288i −0.527479 0.661438i
\(5\) 0.445042 + 1.94986i 0.199029 + 0.872002i 0.971516 + 0.236972i \(0.0761550\pi\)
−0.772488 + 0.635030i \(0.780988\pi\)
\(6\) 0.109916 0.0448731
\(7\) −2.55496 −0.965683 −0.482842 0.875708i \(-0.660395\pi\)
−0.482842 + 0.875708i \(0.660395\pi\)
\(8\) −0.455927 1.99755i −0.161195 0.706239i
\(9\) −1.84601 + 2.31482i −0.615337 + 0.771608i
\(10\) −0.246980 + 1.08209i −0.0781018 + 0.342186i
\(11\) 2.95593 3.70662i 0.891246 1.11759i −0.101196 0.994867i \(-0.532267\pi\)
0.992441 0.122720i \(-0.0391617\pi\)
\(12\) −0.301938 0.145406i −0.0871619 0.0419750i
\(13\) −0.143104 0.626980i −0.0396899 0.173893i 0.951198 0.308581i \(-0.0998540\pi\)
−0.990888 + 0.134688i \(0.956997\pi\)
\(14\) −1.27748 0.615201i −0.341421 0.164420i
\(15\) 0.246980 + 0.309703i 0.0637699 + 0.0799649i
\(16\) −0.500000 + 2.19064i −0.125000 + 0.547661i
\(17\) −0.246980 + 1.08209i −0.0599014 + 0.262445i −0.996007 0.0892736i \(-0.971545\pi\)
0.936106 + 0.351719i \(0.114403\pi\)
\(18\) −1.48039 + 0.712916i −0.348930 + 0.168036i
\(19\) 3.33997 + 4.18819i 0.766242 + 0.960837i 0.999934 0.0114739i \(-0.00365234\pi\)
−0.233693 + 0.972311i \(0.575081\pi\)
\(20\) 2.10992 2.64575i 0.471792 0.591608i
\(21\) −0.455927 + 0.219563i −0.0994914 + 0.0479125i
\(22\) 2.37047 1.14156i 0.505386 0.243381i
\(23\) 3.27144 4.10225i 0.682142 0.855379i −0.313408 0.949619i \(-0.601471\pi\)
0.995550 + 0.0942397i \(0.0300420\pi\)
\(24\) −0.253020 0.317278i −0.0516476 0.0647640i
\(25\) 0.900969 0.433884i 0.180194 0.0867767i
\(26\) 0.0794168 0.347948i 0.0155749 0.0682382i
\(27\) −0.262709 + 1.15100i −0.0505584 + 0.221511i
\(28\) 2.69537 + 3.37989i 0.509378 + 0.638740i
\(29\) 0.821552 + 0.395639i 0.152558 + 0.0734682i 0.508605 0.861000i \(-0.330161\pi\)
−0.356047 + 0.934468i \(0.615876\pi\)
\(30\) 0.0489173 + 0.214321i 0.00893104 + 0.0391295i
\(31\) −5.37047 2.58628i −0.964565 0.464510i −0.115795 0.993273i \(-0.536942\pi\)
−0.848769 + 0.528763i \(0.822656\pi\)
\(32\) −3.33244 + 4.17874i −0.589097 + 0.738705i
\(33\) 0.208947 0.915458i 0.0363731 0.159361i
\(34\) −0.384043 + 0.481575i −0.0658628 + 0.0825894i
\(35\) −1.13706 4.98180i −0.192199 0.842078i
\(36\) 5.00969 0.834948
\(37\) −11.3937 −1.87312 −0.936559 0.350510i \(-0.886008\pi\)
−0.936559 + 0.350510i \(0.886008\pi\)
\(38\) 0.661522 + 2.89832i 0.107313 + 0.470169i
\(39\) −0.0794168 0.0995855i −0.0127169 0.0159464i
\(40\) 3.69202 1.77798i 0.583760 0.281124i
\(41\) 6.99396 + 3.36811i 1.09227 + 0.526011i 0.891221 0.453570i \(-0.149850\pi\)
0.201052 + 0.979581i \(0.435564\pi\)
\(42\) −0.280831 −0.0433332
\(43\) −5.45593 3.63770i −0.832021 0.554744i
\(44\) −8.02177 −1.20933
\(45\) −5.33513 2.56926i −0.795314 0.383003i
\(46\) 2.62349 1.26341i 0.386812 0.186279i
\(47\) −0.623490 0.781831i −0.0909453 0.114042i 0.734277 0.678850i \(-0.237521\pi\)
−0.825222 + 0.564808i \(0.808950\pi\)
\(48\) 0.0990311 + 0.433884i 0.0142939 + 0.0626257i
\(49\) −0.472189 −0.0674556
\(50\) 0.554958 0.0784829
\(51\) 0.0489173 + 0.214321i 0.00684980 + 0.0300109i
\(52\) −0.678448 + 0.850747i −0.0940838 + 0.117977i
\(53\) −1.72252 + 7.54686i −0.236606 + 1.03664i 0.707426 + 0.706788i \(0.249856\pi\)
−0.944032 + 0.329853i \(0.893001\pi\)
\(54\) −0.408502 + 0.512245i −0.0555900 + 0.0697077i
\(55\) 8.54288 + 4.11403i 1.15192 + 0.554736i
\(56\) 1.16487 + 5.10365i 0.155663 + 0.682004i
\(57\) 0.955927 + 0.460350i 0.126616 + 0.0609749i
\(58\) 0.315511 + 0.395639i 0.0414287 + 0.0519499i
\(59\) 1.85474 8.12615i 0.241467 1.05793i −0.698216 0.715887i \(-0.746023\pi\)
0.939683 0.342047i \(-0.111120\pi\)
\(60\) 0.149145 0.653447i 0.0192545 0.0843596i
\(61\) 7.11745 3.42758i 0.911296 0.438857i 0.0813403 0.996686i \(-0.474080\pi\)
0.829956 + 0.557829i \(0.188366\pi\)
\(62\) −2.06249 2.58628i −0.261937 0.328458i
\(63\) 4.71648 5.91428i 0.594221 0.745129i
\(64\) 1.37651 0.662892i 0.172064 0.0828615i
\(65\) 1.15883 0.558065i 0.143736 0.0692194i
\(66\) 0.324904 0.407417i 0.0399930 0.0501496i
\(67\) 0.291053 + 0.364968i 0.0355577 + 0.0445880i 0.799292 0.600942i \(-0.205208\pi\)
−0.763735 + 0.645530i \(0.776636\pi\)
\(68\) 1.69202 0.814835i 0.205188 0.0988132i
\(69\) 0.231250 1.01317i 0.0278392 0.121972i
\(70\) 0.631023 2.76469i 0.0754216 0.330444i
\(71\) 5.91185 + 7.41323i 0.701608 + 0.879789i 0.997143 0.0755435i \(-0.0240692\pi\)
−0.295535 + 0.955332i \(0.595498\pi\)
\(72\) 5.46562 + 2.63210i 0.644129 + 0.310196i
\(73\) 2.82155 + 12.3620i 0.330238 + 1.44687i 0.818670 + 0.574264i \(0.194712\pi\)
−0.488432 + 0.872602i \(0.662431\pi\)
\(74\) −5.69687 2.74347i −0.662247 0.318921i
\(75\) 0.123490 0.154851i 0.0142594 0.0178807i
\(76\) 2.01693 8.83673i 0.231357 1.01364i
\(77\) −7.55227 + 9.47025i −0.860661 + 1.07923i
\(78\) −0.0157295 0.0689153i −0.00178101 0.00780312i
\(79\) −5.09783 −0.573551 −0.286776 0.957998i \(-0.592583\pi\)
−0.286776 + 0.957998i \(0.592583\pi\)
\(80\) −4.49396 −0.502440
\(81\) −1.92447 8.43165i −0.213830 0.936849i
\(82\) 2.68598 + 3.36811i 0.296617 + 0.371946i
\(83\) −13.4438 + 6.47421i −1.47565 + 0.710637i −0.986832 0.161746i \(-0.948287\pi\)
−0.488821 + 0.872384i \(0.662573\pi\)
\(84\) 0.771438 + 0.371505i 0.0841708 + 0.0405345i
\(85\) −2.21983 −0.240775
\(86\) −1.85205 3.13257i −0.199712 0.337793i
\(87\) 0.180604 0.0193628
\(88\) −8.75182 4.21466i −0.932948 0.449284i
\(89\) 15.3300 7.38256i 1.62498 0.782550i 0.624983 0.780638i \(-0.285106\pi\)
0.999998 0.00191168i \(-0.000608506\pi\)
\(90\) −2.04892 2.56926i −0.215975 0.270824i
\(91\) 0.365625 + 1.60191i 0.0383279 + 0.167926i
\(92\) −8.87800 −0.925596
\(93\) −1.18060 −0.122423
\(94\) −0.123490 0.541044i −0.0127370 0.0558044i
\(95\) −6.67994 + 8.37638i −0.685347 + 0.859398i
\(96\) −0.235562 + 1.03206i −0.0240419 + 0.105335i
\(97\) 10.3218 12.9432i 1.04802 1.31418i 0.100347 0.994952i \(-0.468005\pi\)
0.947678 0.319229i \(-0.103424\pi\)
\(98\) −0.236094 0.113697i −0.0238491 0.0114851i
\(99\) 3.12349 + 13.6849i 0.313923 + 1.37538i
\(100\) −1.52446 0.734141i −0.152446 0.0734141i
\(101\) −2.36443 2.96490i −0.235269 0.295019i 0.650155 0.759801i \(-0.274704\pi\)
−0.885425 + 0.464783i \(0.846132\pi\)
\(102\) −0.0271471 + 0.118939i −0.00268796 + 0.0117767i
\(103\) 1.31767 5.77308i 0.129834 0.568838i −0.867601 0.497260i \(-0.834339\pi\)
0.997435 0.0715779i \(-0.0228035\pi\)
\(104\) −1.18718 + 0.571714i −0.116412 + 0.0560612i
\(105\) −0.631023 0.791277i −0.0615815 0.0772208i
\(106\) −2.67845 + 3.35867i −0.260154 + 0.326223i
\(107\) −1.77144 + 0.853080i −0.171251 + 0.0824703i −0.517546 0.855656i \(-0.673154\pi\)
0.346294 + 0.938126i \(0.387440\pi\)
\(108\) 1.79978 0.866729i 0.173184 0.0834011i
\(109\) −5.18933 + 6.50722i −0.497048 + 0.623278i −0.965561 0.260178i \(-0.916219\pi\)
0.468513 + 0.883457i \(0.344790\pi\)
\(110\) 3.28083 + 4.11403i 0.312815 + 0.392258i
\(111\) −2.03319 + 0.979132i −0.192982 + 0.0929351i
\(112\) 1.27748 5.59700i 0.120710 0.528867i
\(113\) 0.407010 1.78323i 0.0382882 0.167752i −0.952169 0.305572i \(-0.901152\pi\)
0.990457 + 0.137820i \(0.0440095\pi\)
\(114\) 0.367117 + 0.460350i 0.0343837 + 0.0431157i
\(115\) 9.45473 + 4.55316i 0.881658 + 0.424584i
\(116\) −0.343322 1.50419i −0.0318767 0.139661i
\(117\) 1.71552 + 0.826151i 0.158600 + 0.0763777i
\(118\) 2.88404 3.61648i 0.265498 0.332924i
\(119\) 0.631023 2.76469i 0.0578457 0.253439i
\(120\) 0.506041 0.634555i 0.0461950 0.0579267i
\(121\) −2.55376 11.1888i −0.232160 1.01716i
\(122\) 4.38404 0.396913
\(123\) 1.53750 0.138632
\(124\) 2.24429 + 9.83288i 0.201543 + 0.883019i
\(125\) 7.48188 + 9.38198i 0.669199 + 0.839150i
\(126\) 3.78232 1.82147i 0.336956 0.162270i
\(127\) −2.67241 1.28696i −0.237138 0.114200i 0.311541 0.950233i \(-0.399155\pi\)
−0.548679 + 0.836033i \(0.684869\pi\)
\(128\) 11.5375 1.01978
\(129\) −1.28621 0.180280i −0.113244 0.0158727i
\(130\) 0.713792 0.0626037
\(131\) 6.40581 + 3.08488i 0.559678 + 0.269527i 0.692264 0.721645i \(-0.256614\pi\)
−0.132585 + 0.991172i \(0.542328\pi\)
\(132\) −1.43147 + 0.689359i −0.124593 + 0.0600010i
\(133\) −8.53348 10.7006i −0.739947 0.927864i
\(134\) 0.0576465 + 0.252566i 0.00497990 + 0.0218184i
\(135\) −2.36121 −0.203220
\(136\) 2.27413 0.195005
\(137\) −1.85205 8.11437i −0.158231 0.693257i −0.990342 0.138647i \(-0.955725\pi\)
0.832110 0.554610i \(-0.187133\pi\)
\(138\) 0.359584 0.450904i 0.0306098 0.0383835i
\(139\) −1.34385 + 5.88781i −0.113984 + 0.499398i 0.885417 + 0.464798i \(0.153873\pi\)
−0.999401 + 0.0346001i \(0.988984\pi\)
\(140\) −5.39075 + 6.75978i −0.455601 + 0.571306i
\(141\) −0.178448 0.0859360i −0.0150280 0.00723712i
\(142\) 1.17092 + 5.13011i 0.0982610 + 0.430510i
\(143\) −2.74698 1.32288i −0.229714 0.110624i
\(144\) −4.14795 5.20136i −0.345662 0.433447i
\(145\) −0.405813 + 1.77798i −0.0337010 + 0.147654i
\(146\) −1.56584 + 6.86041i −0.129590 + 0.567771i
\(147\) −0.0842611 + 0.0405780i −0.00694974 + 0.00334682i
\(148\) 12.0199 + 15.0725i 0.988031 + 1.23895i
\(149\) 1.38740 1.73974i 0.113660 0.142525i −0.721747 0.692157i \(-0.756661\pi\)
0.835407 + 0.549632i \(0.185232\pi\)
\(150\) 0.0990311 0.0476909i 0.00808586 0.00389394i
\(151\) −0.445042 + 0.214321i −0.0362170 + 0.0174412i −0.451905 0.892066i \(-0.649255\pi\)
0.415688 + 0.909507i \(0.363541\pi\)
\(152\) 6.84332 8.58125i 0.555067 0.696032i
\(153\) −2.04892 2.56926i −0.165645 0.207712i
\(154\) −6.05645 + 2.91663i −0.488043 + 0.235029i
\(155\) 2.65279 11.6226i 0.213077 0.933553i
\(156\) −0.0479579 + 0.210117i −0.00383970 + 0.0168228i
\(157\) −4.80798 6.02901i −0.383718 0.481168i 0.552036 0.833820i \(-0.313851\pi\)
−0.935754 + 0.352653i \(0.885280\pi\)
\(158\) −2.54892 1.22749i −0.202781 0.0976542i
\(159\) 0.341166 + 1.49475i 0.0270563 + 0.118541i
\(160\) −9.63102 4.63806i −0.761399 0.366671i
\(161\) −8.35839 + 10.4811i −0.658733 + 0.826025i
\(162\) 1.06800 4.67921i 0.0839099 0.367633i
\(163\) 0.608424 0.762940i 0.0476555 0.0597581i −0.757433 0.652913i \(-0.773547\pi\)
0.805088 + 0.593155i \(0.202118\pi\)
\(164\) −2.92274 12.8054i −0.228228 0.999930i
\(165\) 1.87800 0.146202
\(166\) −8.28083 −0.642717
\(167\) 1.25691 + 5.50686i 0.0972622 + 0.426134i 0.999992 0.00407497i \(-0.00129711\pi\)
−0.902729 + 0.430209i \(0.858440\pi\)
\(168\) 0.646457 + 0.810631i 0.0498752 + 0.0625415i
\(169\) 11.3400 5.46104i 0.872305 0.420080i
\(170\) −1.10992 0.534508i −0.0851267 0.0409949i
\(171\) −15.8605 −1.21289
\(172\) 0.943550 + 11.0551i 0.0719450 + 0.842946i
\(173\) −8.65279 −0.657860 −0.328930 0.944354i \(-0.606688\pi\)
−0.328930 + 0.944354i \(0.606688\pi\)
\(174\) 0.0903019 + 0.0434871i 0.00684577 + 0.00329675i
\(175\) −2.30194 + 1.10855i −0.174010 + 0.0837989i
\(176\) 6.64191 + 8.32869i 0.500653 + 0.627799i
\(177\) −0.367354 1.60948i −0.0276120 0.120976i
\(178\) 9.44265 0.707756
\(179\) −1.99462 −0.149085 −0.0745426 0.997218i \(-0.523750\pi\)
−0.0745426 + 0.997218i \(0.523750\pi\)
\(180\) 2.22952 + 9.76817i 0.166179 + 0.728076i
\(181\) −5.52177 + 6.92408i −0.410430 + 0.514663i −0.943484 0.331418i \(-0.892473\pi\)
0.533054 + 0.846081i \(0.321044\pi\)
\(182\) −0.202907 + 0.888992i −0.0150404 + 0.0658965i
\(183\) 0.975541 1.22329i 0.0721141 0.0904282i
\(184\) −9.68598 4.66452i −0.714060 0.343873i
\(185\) −5.07069 22.2161i −0.372804 1.63336i
\(186\) −0.590302 0.284274i −0.0432830 0.0208440i
\(187\) 3.28083 + 4.11403i 0.239918 + 0.300848i
\(188\) −0.376510 + 1.64960i −0.0274598 + 0.120309i
\(189\) 0.671211 2.94077i 0.0488234 0.213909i
\(190\) −5.35690 + 2.57975i −0.388630 + 0.187154i
\(191\) −4.70440 5.89913i −0.340398 0.426846i 0.581939 0.813233i \(-0.302294\pi\)
−0.922337 + 0.386387i \(0.873723\pi\)
\(192\) 0.188669 0.236584i 0.0136160 0.0170739i
\(193\) 7.24578 3.48939i 0.521563 0.251171i −0.154530 0.987988i \(-0.549386\pi\)
0.676093 + 0.736817i \(0.263672\pi\)
\(194\) 8.27748 3.98622i 0.594288 0.286194i
\(195\) 0.158834 0.199171i 0.0113743 0.0142629i
\(196\) 0.498140 + 0.624647i 0.0355814 + 0.0446177i
\(197\) 17.4710 8.41359i 1.24476 0.599443i 0.308655 0.951174i \(-0.400121\pi\)
0.936101 + 0.351731i \(0.114407\pi\)
\(198\) −1.73341 + 7.59455i −0.123188 + 0.539721i
\(199\) −5.04288 + 22.0943i −0.357480 + 1.56622i 0.401968 + 0.915654i \(0.368326\pi\)
−0.759448 + 0.650568i \(0.774531\pi\)
\(200\) −1.27748 1.60191i −0.0903314 0.113272i
\(201\) 0.0833017 + 0.0401160i 0.00587565 + 0.00282956i
\(202\) −0.468304 2.05177i −0.0329498 0.144362i
\(203\) −2.09903 1.01084i −0.147323 0.0709471i
\(204\) 0.231914 0.290811i 0.0162372 0.0203608i
\(205\) −3.45473 + 15.1362i −0.241289 + 1.05716i
\(206\) 2.04892 2.56926i 0.142755 0.179009i
\(207\) 3.45689 + 15.1456i 0.240270 + 1.05269i
\(208\) 1.44504 0.100196
\(209\) 25.3967 1.75673
\(210\) −0.124982 0.547581i −0.00862456 0.0377867i
\(211\) −10.2823 12.8936i −0.707864 0.887634i 0.289719 0.957112i \(-0.406438\pi\)
−0.997583 + 0.0694779i \(0.977867\pi\)
\(212\) 11.8007 5.68294i 0.810478 0.390306i
\(213\) 1.69202 + 0.814835i 0.115935 + 0.0558315i
\(214\) −1.09113 −0.0745881
\(215\) 4.66487 12.2572i 0.318142 0.835934i
\(216\) 2.41896 0.164589
\(217\) 13.7213 + 6.60784i 0.931464 + 0.448570i
\(218\) −4.16152 + 2.00408i −0.281854 + 0.135734i
\(219\) 1.56584 + 1.96351i 0.105810 + 0.132681i
\(220\) −3.57002 15.6413i −0.240691 1.05454i
\(221\) 0.713792 0.0480148
\(222\) −1.25236 −0.0840527
\(223\) 0.335126 + 1.46828i 0.0224417 + 0.0983234i 0.984908 0.173076i \(-0.0553707\pi\)
−0.962467 + 0.271400i \(0.912514\pi\)
\(224\) 8.51424 10.6765i 0.568881 0.713355i
\(225\) −0.658834 + 2.88654i −0.0439222 + 0.192436i
\(226\) 0.632883 0.793610i 0.0420987 0.0527902i
\(227\) 16.5417 + 7.96605i 1.09791 + 0.528726i 0.893001 0.450055i \(-0.148596\pi\)
0.204909 + 0.978781i \(0.434310\pi\)
\(228\) −0.399477 1.75022i −0.0264560 0.115911i
\(229\) −5.57122 2.68296i −0.368157 0.177295i 0.240653 0.970611i \(-0.422638\pi\)
−0.608810 + 0.793316i \(0.708353\pi\)
\(230\) 3.63102 + 4.55316i 0.239423 + 0.300226i
\(231\) −0.533852 + 2.33896i −0.0351249 + 0.153892i
\(232\) 0.415739 1.82147i 0.0272946 0.119585i
\(233\) −3.98307 + 1.91815i −0.260940 + 0.125662i −0.559780 0.828641i \(-0.689114\pi\)
0.298840 + 0.954303i \(0.403400\pi\)
\(234\) 0.658834 + 0.826151i 0.0430693 + 0.0540072i
\(235\) 1.24698 1.56366i 0.0813440 0.102002i
\(236\) −12.7066 + 6.11915i −0.827126 + 0.398323i
\(237\) −0.909698 + 0.438087i −0.0590912 + 0.0284568i
\(238\) 0.981214 1.23040i 0.0636026 0.0797552i
\(239\) −6.51507 8.16963i −0.421425 0.528450i 0.525118 0.851030i \(-0.324021\pi\)
−0.946542 + 0.322580i \(0.895450\pi\)
\(240\) −0.801938 + 0.386193i −0.0517649 + 0.0249286i
\(241\) −5.40731 + 23.6910i −0.348315 + 1.52607i 0.432689 + 0.901543i \(0.357565\pi\)
−0.781005 + 0.624525i \(0.785292\pi\)
\(242\) 1.41723 6.20929i 0.0911030 0.399149i
\(243\) −3.27628 4.10833i −0.210174 0.263549i
\(244\) −12.0429 5.79954i −0.770966 0.371278i
\(245\) −0.210144 0.920700i −0.0134256 0.0588214i
\(246\) 0.768750 + 0.370210i 0.0490137 + 0.0236038i
\(247\) 2.14795 2.69344i 0.136671 0.171380i
\(248\) −2.71768 + 11.9069i −0.172573 + 0.756090i
\(249\) −1.84266 + 2.31062i −0.116774 + 0.146430i
\(250\) 1.48188 + 6.49253i 0.0937222 + 0.410624i
\(251\) −21.9269 −1.38401 −0.692007 0.721890i \(-0.743273\pi\)
−0.692007 + 0.721890i \(0.743273\pi\)
\(252\) −12.7995 −0.806296
\(253\) −5.53534 24.2519i −0.348004 1.52471i
\(254\) −1.02632 1.28696i −0.0643970 0.0807513i
\(255\) −0.396125 + 0.190764i −0.0248063 + 0.0119461i
\(256\) 3.01573 + 1.45230i 0.188483 + 0.0907687i
\(257\) −2.89546 −0.180614 −0.0903069 0.995914i \(-0.528785\pi\)
−0.0903069 + 0.995914i \(0.528785\pi\)
\(258\) −0.599695 0.399842i −0.0373354 0.0248931i
\(259\) 29.1105 1.80884
\(260\) −1.96077 0.944258i −0.121602 0.0585604i
\(261\) −2.43243 + 1.17140i −0.150564 + 0.0725076i
\(262\) 2.46011 + 3.08488i 0.151986 + 0.190584i
\(263\) 3.86616 + 16.9387i 0.238397 + 1.04449i 0.942452 + 0.334342i \(0.108514\pi\)
−0.704054 + 0.710146i \(0.748629\pi\)
\(264\) −1.92394 −0.118410
\(265\) −15.4819 −0.951044
\(266\) −1.69016 7.40508i −0.103630 0.454035i
\(267\) 2.10119 2.63481i 0.128591 0.161247i
\(268\) 0.175760 0.770053i 0.0107362 0.0470385i
\(269\) −8.77293 + 11.0009i −0.534895 + 0.670737i −0.973697 0.227847i \(-0.926832\pi\)
0.438802 + 0.898584i \(0.355403\pi\)
\(270\) −1.18060 0.568549i −0.0718493 0.0346008i
\(271\) 0.477033 + 2.09002i 0.0289777 + 0.126960i 0.987348 0.158569i \(-0.0506880\pi\)
−0.958370 + 0.285529i \(0.907831\pi\)
\(272\) −2.24698 1.08209i −0.136243 0.0656112i
\(273\) 0.202907 + 0.254437i 0.0122805 + 0.0153992i
\(274\) 1.02781 4.50313i 0.0620923 0.272044i
\(275\) 1.05496 4.62207i 0.0636164 0.278722i
\(276\) −1.58426 + 0.762940i −0.0953613 + 0.0459236i
\(277\) −14.5022 18.1851i −0.871350 1.09264i −0.994957 0.100307i \(-0.968017\pi\)
0.123606 0.992331i \(-0.460554\pi\)
\(278\) −2.08964 + 2.62032i −0.125328 + 0.157157i
\(279\) 15.9007 7.65739i 0.951952 0.458436i
\(280\) −9.43296 + 4.54267i −0.563727 + 0.271477i
\(281\) −11.0571 + 13.8652i −0.659612 + 0.827127i −0.993301 0.115556i \(-0.963135\pi\)
0.333689 + 0.942683i \(0.391707\pi\)
\(282\) −0.0685317 0.0859360i −0.00408100 0.00511741i
\(283\) −3.52230 + 1.69625i −0.209379 + 0.100832i −0.535634 0.844450i \(-0.679927\pi\)
0.326255 + 0.945282i \(0.394213\pi\)
\(284\) 3.57002 15.6413i 0.211842 0.928140i
\(285\) −0.472189 + 2.06879i −0.0279701 + 0.122545i
\(286\) −1.05496 1.32288i −0.0623810 0.0782233i
\(287\) −17.8693 8.60539i −1.05479 0.507960i
\(288\) −3.52134 15.4280i −0.207497 0.909104i
\(289\) 14.2066 + 6.84152i 0.835680 + 0.402442i
\(290\) −0.631023 + 0.791277i −0.0370549 + 0.0464654i
\(291\) 0.729627 3.19670i 0.0427715 0.187394i
\(292\) 13.3768 16.7740i 0.782818 0.981623i
\(293\) 6.23772 + 27.3292i 0.364411 + 1.59659i 0.741857 + 0.670559i \(0.233946\pi\)
−0.377445 + 0.926032i \(0.623197\pi\)
\(294\) −0.0519012 −0.00302694
\(295\) 16.6703 0.970580
\(296\) 5.19471 + 22.7595i 0.301936 + 1.32287i
\(297\) 3.48978 + 4.37604i 0.202498 + 0.253924i
\(298\) 1.11260 0.535802i 0.0644515 0.0310382i
\(299\) −3.04019 1.46408i −0.175819 0.0846698i
\(300\) −0.335126 −0.0193485
\(301\) 13.9397 + 9.29417i 0.803469 + 0.535707i
\(302\) −0.274127 −0.0157742
\(303\) −0.676719 0.325891i −0.0388765 0.0187219i
\(304\) −10.8448 + 5.22259i −0.621993 + 0.299536i
\(305\) 9.85086 + 12.3526i 0.564058 + 0.707307i
\(306\) −0.405813 1.77798i −0.0231988 0.101641i
\(307\) −0.633415 −0.0361509 −0.0180755 0.999837i \(-0.505754\pi\)
−0.0180755 + 0.999837i \(0.505754\pi\)
\(308\) 20.4953 1.16783
\(309\) −0.260980 1.14343i −0.0148466 0.0650474i
\(310\) 4.12498 5.17256i 0.234283 0.293782i
\(311\) 5.64460 24.7306i 0.320076 1.40234i −0.517342 0.855779i \(-0.673078\pi\)
0.837417 0.546564i \(-0.184065\pi\)
\(312\) −0.162718 + 0.204042i −0.00921212 + 0.0115516i
\(313\) −13.4661 6.48496i −0.761152 0.366551i 0.0126990 0.999919i \(-0.495958\pi\)
−0.773851 + 0.633368i \(0.781672\pi\)
\(314\) −0.952279 4.17221i −0.0537402 0.235451i
\(315\) 13.6310 + 6.56435i 0.768021 + 0.369859i
\(316\) 5.37800 + 6.74380i 0.302536 + 0.379368i
\(317\) 1.07822 4.72399i 0.0605589 0.265326i −0.935580 0.353114i \(-0.885123\pi\)
0.996139 + 0.0877883i \(0.0279799\pi\)
\(318\) −0.189333 + 0.829522i −0.0106173 + 0.0465173i
\(319\) 3.89493 1.87570i 0.218074 0.105019i
\(320\) 1.90515 + 2.38898i 0.106501 + 0.133548i
\(321\) −0.242799 + 0.304461i −0.0135517 + 0.0169933i
\(322\) −6.70291 + 3.22795i −0.373538 + 0.179887i
\(323\) −5.35690 + 2.57975i −0.298066 + 0.143541i
\(324\) −9.12379 + 11.4409i −0.506877 + 0.635604i
\(325\) −0.400969 0.502799i −0.0222418 0.0278903i
\(326\) 0.487918 0.234969i 0.0270233 0.0130137i
\(327\) −0.366822 + 1.60715i −0.0202853 + 0.0888756i
\(328\) 3.53923 15.5064i 0.195421 0.856196i
\(329\) 1.59299 + 1.99755i 0.0878244 + 0.110128i
\(330\) 0.939001 + 0.452199i 0.0516903 + 0.0248927i
\(331\) −2.74751 12.0376i −0.151017 0.661648i −0.992591 0.121506i \(-0.961228\pi\)
0.841574 0.540142i \(-0.181630\pi\)
\(332\) 22.7473 + 10.9545i 1.24842 + 0.601207i
\(333\) 21.0330 26.3745i 1.15260 1.44531i
\(334\) −0.697530 + 3.05608i −0.0381671 + 0.167221i
\(335\) −0.582105 + 0.729937i −0.0318038 + 0.0398807i
\(336\) −0.253020 1.10855i −0.0138034 0.0604766i
\(337\) 6.20344 0.337923 0.168961 0.985623i \(-0.445959\pi\)
0.168961 + 0.985623i \(0.445959\pi\)
\(338\) 6.98493 0.379930
\(339\) −0.0806133 0.353190i −0.00437831 0.0191826i
\(340\) 2.34183 + 2.93656i 0.127004 + 0.159257i
\(341\) −25.4611 + 12.2614i −1.37879 + 0.663992i
\(342\) −7.93027 3.81902i −0.428820 0.206509i
\(343\) 19.0911 1.03082
\(344\) −4.77897 + 12.5570i −0.257665 + 0.677028i
\(345\) 2.07846 0.111900
\(346\) −4.32640 2.08348i −0.232589 0.112009i
\(347\) −16.2986 + 7.84899i −0.874954 + 0.421356i −0.816779 0.576951i \(-0.804242\pi\)
−0.0581750 + 0.998306i \(0.518528\pi\)
\(348\) −0.190530 0.238916i −0.0102135 0.0128073i
\(349\) −1.61476 7.07473i −0.0864362 0.378702i 0.913145 0.407634i \(-0.133646\pi\)
−0.999581 + 0.0289329i \(0.990789\pi\)
\(350\) −1.41789 −0.0757897
\(351\) 0.759251 0.0405258
\(352\) 5.63856 + 24.7041i 0.300536 + 1.31673i
\(353\) 6.50902 8.16206i 0.346440 0.434423i −0.577832 0.816156i \(-0.696101\pi\)
0.924273 + 0.381733i \(0.124673\pi\)
\(354\) 0.203866 0.893196i 0.0108354 0.0474728i
\(355\) −11.8237 + 14.8265i −0.627537 + 0.786907i
\(356\) −25.9388 12.4915i −1.37475 0.662046i
\(357\) −0.124982 0.547581i −0.00661474 0.0289811i
\(358\) −0.997312 0.480280i −0.0527096 0.0253836i
\(359\) −17.5417 21.9966i −0.925814 1.16093i −0.986661 0.162787i \(-0.947952\pi\)
0.0608467 0.998147i \(-0.480620\pi\)
\(360\) −2.69979 + 11.8286i −0.142291 + 0.623420i
\(361\) −2.15764 + 9.45323i −0.113560 + 0.497538i
\(362\) −4.42812 + 2.13247i −0.232737 + 0.112080i
\(363\) −1.41723 1.77715i −0.0743853 0.0932762i
\(364\) 1.73341 2.17362i 0.0908552 0.113929i
\(365\) −22.8485 + 11.0032i −1.19594 + 0.575936i
\(366\) 0.782323 0.376747i 0.0408927 0.0196929i
\(367\) 10.2552 12.8596i 0.535316 0.671265i −0.438466 0.898748i \(-0.644478\pi\)
0.973782 + 0.227483i \(0.0730496\pi\)
\(368\) 7.35086 + 9.21768i 0.383190 + 0.480505i
\(369\) −20.7075 + 9.97221i −1.07799 + 0.519133i
\(370\) 2.81402 12.3290i 0.146294 0.640955i
\(371\) 4.40097 19.2819i 0.228487 1.00107i
\(372\) 1.24549 + 1.56179i 0.0645755 + 0.0809751i
\(373\) 9.73609 + 4.68866i 0.504116 + 0.242769i 0.668616 0.743608i \(-0.266887\pi\)
−0.164500 + 0.986377i \(0.552601\pi\)
\(374\) 0.649809 + 2.84700i 0.0336008 + 0.147215i
\(375\) 2.14138 + 1.03123i 0.110580 + 0.0532526i
\(376\) −1.27748 + 1.60191i −0.0658810 + 0.0826121i
\(377\) 0.130490 0.571714i 0.00672058 0.0294448i
\(378\) 1.04370 1.30876i 0.0536824 0.0673156i
\(379\) 2.16272 + 9.47549i 0.111091 + 0.486723i 0.999611 + 0.0278848i \(0.00887716\pi\)
−0.888520 + 0.458838i \(0.848266\pi\)
\(380\) 18.1280 0.929945
\(381\) −0.587482 −0.0300976
\(382\) −0.931764 4.08232i −0.0476732 0.208870i
\(383\) −14.7397 18.4831i −0.753166 0.944440i 0.246529 0.969135i \(-0.420710\pi\)
−0.999695 + 0.0246955i \(0.992138\pi\)
\(384\) 2.05884 0.991487i 0.105065 0.0505966i
\(385\) −21.8267 10.5112i −1.11239 0.535699i
\(386\) 4.46309 0.227165
\(387\) 18.4923 5.91428i 0.940018 0.300640i
\(388\) −28.0113 −1.42206
\(389\) 7.11141 + 3.42467i 0.360563 + 0.173638i 0.605390 0.795929i \(-0.293017\pi\)
−0.244828 + 0.969567i \(0.578731\pi\)
\(390\) 0.127375 0.0613404i 0.00644987 0.00310609i
\(391\) 3.63102 + 4.55316i 0.183629 + 0.230263i
\(392\) 0.215284 + 0.943219i 0.0108735 + 0.0476398i
\(393\) 1.40821 0.0710346
\(394\) 10.7614 0.542151
\(395\) −2.26875 9.94004i −0.114153 0.500138i
\(396\) 14.8083 18.5690i 0.744144 0.933127i
\(397\) 5.69418 24.9478i 0.285783 1.25210i −0.604470 0.796628i \(-0.706615\pi\)
0.890253 0.455467i \(-0.150528\pi\)
\(398\) −7.84146 + 9.83288i −0.393057 + 0.492878i
\(399\) −2.44235 1.17618i −0.122271 0.0588824i
\(400\) 0.500000 + 2.19064i 0.0250000 + 0.109532i
\(401\) 7.84697 + 3.77890i 0.391859 + 0.188709i 0.619430 0.785052i \(-0.287364\pi\)
−0.227571 + 0.973762i \(0.573078\pi\)
\(402\) 0.0319914 + 0.0401160i 0.00159559 + 0.00200080i
\(403\) −0.853011 + 3.73729i −0.0424915 + 0.186167i
\(404\) −1.42782 + 6.25569i −0.0710367 + 0.311232i
\(405\) 15.5840 7.50487i 0.774376 0.372920i
\(406\) −0.806118 1.01084i −0.0400070 0.0501672i
\(407\) −33.6790 + 42.2322i −1.66941 + 2.09337i
\(408\) 0.405813 0.195429i 0.0200907 0.00967519i
\(409\) −11.9438 + 5.75185i −0.590585 + 0.284411i −0.705211 0.708998i \(-0.749148\pi\)
0.114625 + 0.993409i \(0.463433\pi\)
\(410\) −5.37196 + 6.73623i −0.265302 + 0.332679i
\(411\) −1.02781 1.28883i −0.0506982 0.0635735i
\(412\) −9.02715 + 4.34724i −0.444736 + 0.214173i
\(413\) −4.73878 + 20.7620i −0.233180 + 1.02163i
\(414\) −1.91843 + 8.40518i −0.0942856 + 0.413092i
\(415\) −18.6069 23.3323i −0.913375 1.14534i
\(416\) 3.09688 + 1.49138i 0.151837 + 0.0731207i
\(417\) 0.266167 + 1.16615i 0.0130343 + 0.0571068i
\(418\) 12.6984 + 6.11521i 0.621097 + 0.299105i
\(419\) 0.711636 0.892363i 0.0347657 0.0435948i −0.764145 0.645045i \(-0.776839\pi\)
0.798910 + 0.601450i \(0.205410\pi\)
\(420\) −0.381059 + 1.66953i −0.0185938 + 0.0814647i
\(421\) 2.07756 2.60517i 0.101254 0.126968i −0.728623 0.684915i \(-0.759839\pi\)
0.829877 + 0.557947i \(0.188411\pi\)
\(422\) −2.03654 8.92267i −0.0991372 0.434349i
\(423\) 2.96077 0.143958
\(424\) 15.8605 0.770256
\(425\) 0.246980 + 1.08209i 0.0119803 + 0.0524890i
\(426\) 0.649809 + 0.814835i 0.0314833 + 0.0394789i
\(427\) −18.1848 + 8.75733i −0.880023 + 0.423797i
\(428\) 2.99731 + 1.44343i 0.144881 + 0.0697708i
\(429\) −0.603875 −0.0291554
\(430\) 5.28382 5.00536i 0.254808 0.241380i
\(431\) 20.3515 0.980298 0.490149 0.871639i \(-0.336942\pi\)
0.490149 + 0.871639i \(0.336942\pi\)
\(432\) −2.39008 1.15100i −0.114993 0.0553777i
\(433\) −8.97650 + 4.32285i −0.431383 + 0.207743i −0.636958 0.770898i \(-0.719808\pi\)
0.205575 + 0.978641i \(0.434093\pi\)
\(434\) 5.26958 + 6.60784i 0.252948 + 0.317187i
\(435\) 0.0803763 + 0.352152i 0.00385375 + 0.0168844i
\(436\) 14.0828 0.674442
\(437\) 28.1075 1.34457
\(438\) 0.310134 + 1.35879i 0.0148188 + 0.0649254i
\(439\) 5.10470 6.40110i 0.243634 0.305508i −0.644947 0.764228i \(-0.723120\pi\)
0.888581 + 0.458720i \(0.151692\pi\)
\(440\) 4.32304 18.9405i 0.206093 0.902953i
\(441\) 0.871666 1.09303i 0.0415079 0.0520493i
\(442\) 0.356896 + 0.171872i 0.0169758 + 0.00817512i
\(443\) −6.76636 29.6453i −0.321479 1.40849i −0.834922 0.550369i \(-0.814487\pi\)
0.513442 0.858124i \(-0.328370\pi\)
\(444\) 3.44020 + 1.65671i 0.163265 + 0.0786241i
\(445\) 21.2174 + 26.6058i 1.00580 + 1.26124i
\(446\) −0.185981 + 0.814835i −0.00880644 + 0.0385835i
\(447\) 0.0980717 0.429680i 0.00463863 0.0203232i
\(448\) −3.51693 + 1.69366i −0.166159 + 0.0800180i
\(449\) −13.8415 17.3566i −0.653219 0.819111i 0.339367 0.940654i \(-0.389787\pi\)
−0.992586 + 0.121543i \(0.961216\pi\)
\(450\) −1.02446 + 1.28463i −0.0482934 + 0.0605581i
\(451\) 33.1579 15.9680i 1.56135 0.751905i
\(452\) −2.78836 + 1.34281i −0.131154 + 0.0631603i
\(453\) −0.0609989 + 0.0764902i −0.00286598 + 0.00359382i
\(454\) 6.35272 + 7.96605i 0.298148 + 0.373865i
\(455\) −2.96077 + 1.42583i −0.138803 + 0.0668441i
\(456\) 0.483738 2.11939i 0.0226531 0.0992498i
\(457\) −2.49635 + 10.9372i −0.116774 + 0.511622i 0.882381 + 0.470535i \(0.155939\pi\)
−0.999156 + 0.0410869i \(0.986918\pi\)
\(458\) −2.13959 2.68296i −0.0999764 0.125366i
\(459\) −1.18060 0.568549i −0.0551059 0.0265376i
\(460\) −3.95108 17.3108i −0.184220 0.807121i
\(461\) 31.1247 + 14.9889i 1.44962 + 0.698102i 0.982530 0.186106i \(-0.0595866\pi\)
0.467094 + 0.884208i \(0.345301\pi\)
\(462\) −0.830117 + 1.04093i −0.0386206 + 0.0484286i
\(463\) −2.26540 + 9.92535i −0.105282 + 0.461270i 0.894614 + 0.446840i \(0.147451\pi\)
−0.999896 + 0.0144304i \(0.995406\pi\)
\(464\) −1.27748 + 1.60191i −0.0593055 + 0.0743667i
\(465\) −0.525418 2.30201i −0.0243657 0.106753i
\(466\) −2.45340 −0.113652
\(467\) 14.9782 0.693110 0.346555 0.938030i \(-0.387351\pi\)
0.346555 + 0.938030i \(0.387351\pi\)
\(468\) −0.716907 3.14098i −0.0331390 0.145192i
\(469\) −0.743627 0.932479i −0.0343375 0.0430579i
\(470\) 1.00000 0.481575i 0.0461266 0.0222134i
\(471\) −1.37608 0.662687i −0.0634066 0.0305350i
\(472\) −17.0780 −0.786078
\(473\) −29.6109 + 9.47025i −1.36151 + 0.435442i
\(474\) −0.560335 −0.0257370
\(475\) 4.82640 + 2.32427i 0.221450 + 0.106645i
\(476\) −4.32304 + 2.08187i −0.198146 + 0.0954223i
\(477\) −14.2899 17.9189i −0.654288 0.820451i
\(478\) −1.29039 5.65356i −0.0590210 0.258588i
\(479\) 29.0573 1.32766 0.663830 0.747883i \(-0.268930\pi\)
0.663830 + 0.747883i \(0.268930\pi\)
\(480\) −2.11721 −0.0966371
\(481\) 1.63049 + 7.14364i 0.0743439 + 0.325722i
\(482\) −8.40813 + 10.5435i −0.382980 + 0.480242i
\(483\) −0.590834 + 2.58861i −0.0268839 + 0.117786i
\(484\) −12.1072 + 15.1820i −0.550329 + 0.690090i
\(485\) 29.8310 + 14.3659i 1.35456 + 0.652320i
\(486\) −0.648908 2.84305i −0.0294351 0.128963i
\(487\) 21.5160 + 10.3616i 0.974984 + 0.469528i 0.852377 0.522928i \(-0.175160\pi\)
0.122607 + 0.992455i \(0.460875\pi\)
\(488\) −10.0918 12.6547i −0.456834 0.572852i
\(489\) 0.0430081 0.188431i 0.00194489 0.00852113i
\(490\) 0.116621 0.510950i 0.00526840 0.0230824i
\(491\) 0.608720 0.293144i 0.0274711 0.0132294i −0.420098 0.907479i \(-0.638004\pi\)
0.447569 + 0.894249i \(0.352290\pi\)
\(492\) −1.62200 2.03392i −0.0731253 0.0916962i
\(493\) −0.631023 + 0.791277i −0.0284198 + 0.0356373i
\(494\) 1.72252 0.829522i 0.0774999 0.0373220i
\(495\) −25.2935 + 12.1807i −1.13686 + 0.547482i
\(496\) 8.35086 10.4716i 0.374964 0.470191i
\(497\) −15.1045 18.9405i −0.677531 0.849597i
\(498\) −1.47770 + 0.711621i −0.0662172 + 0.0318885i
\(499\) −7.16391 + 31.3872i −0.320701 + 1.40508i 0.515608 + 0.856824i \(0.327566\pi\)
−0.836309 + 0.548258i \(0.815291\pi\)
\(500\) 4.51812 19.7952i 0.202057 0.885268i
\(501\) 0.697530 + 0.874675i 0.0311633 + 0.0390776i
\(502\) −10.9635 5.27972i −0.489323 0.235646i
\(503\) 5.15117 + 22.5687i 0.229679 + 1.00629i 0.949902 + 0.312548i \(0.101182\pi\)
−0.720223 + 0.693743i \(0.755960\pi\)
\(504\) −13.9644 6.72491i −0.622025 0.299551i
\(505\) 4.72886 5.92980i 0.210431 0.263873i
\(506\) 3.07188 13.4588i 0.136562 0.598317i
\(507\) 1.55429 1.94902i 0.0690286 0.0865592i
\(508\) 1.11679 + 4.89295i 0.0495493 + 0.217090i
\(509\) −29.2010 −1.29431 −0.647157 0.762357i \(-0.724042\pi\)
−0.647157 + 0.762357i \(0.724042\pi\)
\(510\) −0.243996 −0.0108043
\(511\) −7.20895 31.5845i −0.318905 1.39721i
\(512\) −13.2289 16.5885i −0.584638 0.733113i
\(513\) −5.69806 + 2.74404i −0.251576 + 0.121152i
\(514\) −1.44773 0.697190i −0.0638566 0.0307517i
\(515\) 11.8431 0.521869
\(516\) 1.11841 + 1.89168i 0.0492352 + 0.0832766i
\(517\) −4.74094 −0.208506
\(518\) 14.5553 + 7.00944i 0.639521 + 0.307977i
\(519\) −1.54407 + 0.743586i −0.0677773 + 0.0326398i
\(520\) −1.64310 2.06039i −0.0720549 0.0903540i
\(521\) −0.211103 0.924904i −0.00924860 0.0405208i 0.970093 0.242733i \(-0.0780440\pi\)
−0.979342 + 0.202212i \(0.935187\pi\)
\(522\) −1.49827 −0.0655775
\(523\) −36.8853 −1.61288 −0.806441 0.591315i \(-0.798609\pi\)
−0.806441 + 0.591315i \(0.798609\pi\)
\(524\) −2.67696 11.7285i −0.116943 0.512362i
\(525\) −0.315511 + 0.395639i −0.0137700 + 0.0172671i
\(526\) −2.14556 + 9.40029i −0.0935507 + 0.409872i
\(527\) 4.12498 5.17256i 0.179687 0.225320i
\(528\) 1.90097 + 0.915458i 0.0827291 + 0.0398402i
\(529\) −1.00820 4.41720i −0.0438346 0.192052i
\(530\) −7.74094 3.72784i −0.336245 0.161927i
\(531\) 15.3867 + 19.2944i 0.667727 + 0.837304i
\(532\) −5.15316 + 22.5775i −0.223418 + 0.978858i
\(533\) 1.11088 4.86706i 0.0481174 0.210816i
\(534\) 1.68502 0.811463i 0.0729180 0.0351155i
\(535\) −2.45175 3.07439i −0.105998 0.132918i
\(536\) 0.596343 0.747790i 0.0257581 0.0322996i
\(537\) −0.355936 + 0.171410i −0.0153598 + 0.00739688i
\(538\) −7.03534 + 3.38804i −0.303315 + 0.146069i
\(539\) −1.39576 + 1.75022i −0.0601195 + 0.0753874i
\(540\) 2.49098 + 3.12358i 0.107195 + 0.134418i
\(541\) 15.7811 7.59979i 0.678484 0.326741i −0.0627100 0.998032i \(-0.519974\pi\)
0.741194 + 0.671291i \(0.234260\pi\)
\(542\) −0.264733 + 1.15987i −0.0113713 + 0.0498208i
\(543\) −0.390321 + 1.71011i −0.0167503 + 0.0733877i
\(544\) −3.69873 4.63806i −0.158582 0.198855i
\(545\) −14.9976 7.22247i −0.642427 0.309376i
\(546\) 0.0401881 + 0.176076i 0.00171989 + 0.00753535i
\(547\) −14.5085 6.98692i −0.620338 0.298739i 0.0971929 0.995266i \(-0.469014\pi\)
−0.717531 + 0.696526i \(0.754728\pi\)
\(548\) −8.78046 + 11.0104i −0.375083 + 0.470339i
\(549\) −5.20464 + 22.8030i −0.222128 + 0.973208i
\(550\) 1.64042 2.05702i 0.0699476 0.0877115i
\(551\) 1.08695 + 4.76224i 0.0463056 + 0.202878i
\(552\) −2.12929 −0.0906288
\(553\) 13.0248 0.553869
\(554\) −2.87233 12.5845i −0.122034 0.534664i
\(555\) −2.81402 3.52867i −0.119448 0.149784i
\(556\) 9.20655 4.43364i 0.390445 0.188028i
\(557\) −4.92639 2.37242i −0.208738 0.100523i 0.326594 0.945165i \(-0.394099\pi\)
−0.535332 + 0.844642i \(0.679813\pi\)
\(558\) 9.79417 0.414620
\(559\) −1.50000 + 3.94133i −0.0634432 + 0.166700i
\(560\) 11.4819 0.485198
\(561\) 0.939001 + 0.452199i 0.0396447 + 0.0190919i
\(562\) −8.86712 + 4.27018i −0.374037 + 0.180127i
\(563\) 21.8143 + 27.3543i 0.919364 + 1.15285i 0.987884 + 0.155196i \(0.0496009\pi\)
−0.0685200 + 0.997650i \(0.521828\pi\)
\(564\) 0.0745725 + 0.326723i 0.00314007 + 0.0137575i
\(565\) 3.65817 0.153900
\(566\) −2.16959 −0.0911946
\(567\) 4.91694 + 21.5425i 0.206492 + 0.904700i
\(568\) 12.1129 15.1891i 0.508246 0.637320i
\(569\) 1.40688 6.16394i 0.0589794 0.258406i −0.936839 0.349761i \(-0.886263\pi\)
0.995818 + 0.0913554i \(0.0291199\pi\)
\(570\) −0.734234 + 0.920700i −0.0307537 + 0.0385639i
\(571\) −17.7136 8.53040i −0.741289 0.356986i 0.0248239 0.999692i \(-0.492097\pi\)
−0.766113 + 0.642706i \(0.777812\pi\)
\(572\) 1.14795 + 5.02949i 0.0479981 + 0.210294i
\(573\) −1.34644 0.648410i −0.0562482 0.0270877i
\(574\) −6.86257 8.60539i −0.286438 0.359182i
\(575\) 1.16756 5.11543i 0.0486907 0.213328i
\(576\) −1.00657 + 4.41009i −0.0419406 + 0.183754i
\(577\) −13.6386 + 6.56798i −0.567780 + 0.273429i −0.695672 0.718359i \(-0.744893\pi\)
0.127892 + 0.991788i \(0.459179\pi\)
\(578\) 5.45593 + 6.84152i 0.226937 + 0.284570i
\(579\) 0.993131 1.24535i 0.0412731 0.0517549i
\(580\) 2.78017 1.33886i 0.115440 0.0555931i
\(581\) 34.3485 16.5413i 1.42501 0.686251i
\(582\) 1.13454 1.42267i 0.0470282 0.0589714i
\(583\) 22.8817 + 28.6927i 0.947661 + 1.18833i
\(584\) 23.4073 11.2724i 0.968601 0.466454i
\(585\) −0.847397 + 3.71269i −0.0350356 + 0.153501i
\(586\) −3.46167 + 15.1666i −0.143000 + 0.626526i
\(587\) −3.75600 4.70988i −0.155027 0.194398i 0.698253 0.715852i \(-0.253961\pi\)
−0.853279 + 0.521454i \(0.825390\pi\)
\(588\) 0.142572 + 0.0686589i 0.00587956 + 0.00283145i
\(589\) −7.10537 31.1306i −0.292772 1.28272i
\(590\) 8.33513 + 4.01398i 0.343152 + 0.165253i
\(591\) 2.39463 3.00277i 0.0985020 0.123518i
\(592\) 5.69687 24.9596i 0.234140 1.02583i
\(593\) 25.4318 31.8904i 1.04436 1.30958i 0.0949683 0.995480i \(-0.469725\pi\)
0.949389 0.314102i \(-0.101704\pi\)
\(594\) 0.691194 + 3.02832i 0.0283600 + 0.124253i
\(595\) 5.67158 0.232512
\(596\) −3.76510 −0.154225
\(597\) 0.998804 + 4.37604i 0.0408783 + 0.179100i
\(598\) −1.16756 1.46408i −0.0477452 0.0598706i
\(599\) 20.6586 9.94866i 0.844087 0.406491i 0.0387079 0.999251i \(-0.487676\pi\)
0.805380 + 0.592760i \(0.201962\pi\)
\(600\) −0.365625 0.176076i −0.0149266 0.00718826i
\(601\) −11.6974 −0.477147 −0.238573 0.971124i \(-0.576680\pi\)
−0.238573 + 0.971124i \(0.576680\pi\)
\(602\) 4.73191 + 8.00358i 0.192858 + 0.326202i
\(603\) −1.38212 −0.0562844
\(604\) 0.753020 + 0.362636i 0.0306400 + 0.0147554i
\(605\) 20.6799 9.95893i 0.840759 0.404888i
\(606\) −0.259889 0.325891i −0.0105573 0.0132384i
\(607\) 3.53050 + 15.4681i 0.143299 + 0.627832i 0.994656 + 0.103246i \(0.0329228\pi\)
−0.851357 + 0.524586i \(0.824220\pi\)
\(608\) −28.6316 −1.16117
\(609\) −0.461435 −0.0186983
\(610\) 1.95108 + 8.54825i 0.0789970 + 0.346109i
\(611\) −0.400969 + 0.502799i −0.0162215 + 0.0203411i
\(612\) −1.23729 + 5.42093i −0.0500145 + 0.219128i
\(613\) 20.3545 25.5237i 0.822111 1.03089i −0.176801 0.984247i \(-0.556575\pi\)
0.998911 0.0466475i \(-0.0148537\pi\)
\(614\) −0.316708 0.152518i −0.0127813 0.00615514i
\(615\) 0.684252 + 2.99790i 0.0275917 + 0.120887i
\(616\) 22.3605 + 10.7683i 0.900932 + 0.433866i
\(617\) 22.4815 + 28.1909i 0.905071 + 1.13492i 0.990353 + 0.138567i \(0.0442496\pi\)
−0.0852816 + 0.996357i \(0.527179\pi\)
\(618\) 0.144833 0.634555i 0.00582604 0.0255255i
\(619\) −2.01065 + 8.80923i −0.0808148 + 0.354073i −0.999127 0.0417851i \(-0.986696\pi\)
0.918312 + 0.395858i \(0.129553\pi\)
\(620\) −18.1739 + 8.75209i −0.729881 + 0.351492i
\(621\) 3.86227 + 4.84314i 0.154988 + 0.194348i
\(622\) 8.77711 11.0061i 0.351930 0.441306i
\(623\) −39.1676 + 18.8621i −1.56922 + 0.755695i
\(624\) 0.257865 0.124181i 0.0103229 0.00497122i
\(625\) −11.8463 + 14.8548i −0.473852 + 0.594192i
\(626\) −5.17158 6.48496i −0.206698 0.259191i
\(627\) 4.53199 2.18249i 0.180990 0.0871603i
\(628\) −2.90342 + 12.7207i −0.115859 + 0.507612i
\(629\) 2.81402 12.3290i 0.112202 0.491590i
\(630\) 5.23490 + 6.56435i 0.208563 + 0.261530i
\(631\) −15.3366 7.38573i −0.610541 0.294021i 0.102949 0.994687i \(-0.467172\pi\)
−0.713490 + 0.700666i \(0.752887\pi\)
\(632\) 2.32424 + 10.1832i 0.0924533 + 0.405064i
\(633\) −2.94289 1.41722i −0.116969 0.0563294i
\(634\) 1.67659 2.10237i 0.0665858 0.0834959i
\(635\) 1.32006 5.78356i 0.0523850 0.229514i
\(636\) 1.61745 2.02822i 0.0641360 0.0804240i
\(637\) 0.0675722 + 0.296053i 0.00267731 + 0.0117301i
\(638\) 2.39911 0.0949816
\(639\) −28.0737 −1.11058
\(640\) 5.13467 + 22.4965i 0.202966 + 0.889251i
\(641\) −3.33662 4.18399i −0.131788 0.165258i 0.711559 0.702627i \(-0.247990\pi\)
−0.843347 + 0.537369i \(0.819418\pi\)
\(642\) −0.194710 + 0.0937673i −0.00768459 + 0.00370070i
\(643\) 16.6896 + 8.03730i 0.658175 + 0.316960i 0.732992 0.680237i \(-0.238123\pi\)
−0.0748175 + 0.997197i \(0.523837\pi\)
\(644\) 22.6829 0.893832
\(645\) −0.220897 2.58815i −0.00869783 0.101908i
\(646\) −3.29962 −0.129822
\(647\) −19.2228 9.25722i −0.755727 0.363939i 0.0160175 0.999872i \(-0.494901\pi\)
−0.771744 + 0.635933i \(0.780616\pi\)
\(648\) −15.9652 + 7.68843i −0.627172 + 0.302030i
\(649\) −24.6380 30.8951i −0.967127 1.21274i
\(650\) −0.0794168 0.347948i −0.00311498 0.0136476i
\(651\) 3.01639 0.118222
\(652\) −1.65114 −0.0646635
\(653\) −7.71475 33.8005i −0.301902 1.32272i −0.867253 0.497867i \(-0.834117\pi\)
0.565352 0.824850i \(-0.308740\pi\)
\(654\) −0.570392 + 0.715249i −0.0223041 + 0.0279685i
\(655\) −3.16421 + 13.8633i −0.123636 + 0.541684i
\(656\) −10.8753 + 13.6372i −0.424610 + 0.532444i
\(657\) −33.8245 16.2890i −1.31962 0.635496i
\(658\) 0.315511 + 1.38235i 0.0122999 + 0.0538894i
\(659\) −42.2667 20.3545i −1.64648 0.792901i −0.999539 0.0303562i \(-0.990336\pi\)
−0.646936 0.762544i \(-0.723950\pi\)
\(660\) −1.98121 2.48436i −0.0771186 0.0967037i
\(661\) −3.13892 + 13.7525i −0.122090 + 0.534911i 0.876479 + 0.481439i \(0.159886\pi\)
−0.998569 + 0.0534718i \(0.982971\pi\)
\(662\) 1.52475 6.68038i 0.0592613 0.259641i
\(663\) 0.127375 0.0613404i 0.00494682 0.00238226i
\(664\) 19.0620 + 23.9029i 0.739747 + 0.927614i
\(665\) 17.0670 21.4013i 0.661829 0.829907i
\(666\) 16.8671 8.12278i 0.653588 0.314751i
\(667\) 4.31067 2.07591i 0.166910 0.0803795i
\(668\) 5.95891 7.47224i 0.230557 0.289110i
\(669\) 0.185981 + 0.233212i 0.00719043 + 0.00901651i
\(670\) −0.466812 + 0.224805i −0.0180345 + 0.00868497i
\(671\) 8.33393 36.5133i 0.321728 1.40958i
\(672\) 0.601851 2.63688i 0.0232169 0.101720i
\(673\) 15.1637 + 19.0147i 0.584517 + 0.732961i 0.982876 0.184269i \(-0.0589916\pi\)
−0.398359 + 0.917230i \(0.630420\pi\)
\(674\) 3.10172 + 1.49371i 0.119474 + 0.0575355i
\(675\) 0.262709 + 1.15100i 0.0101117 + 0.0443022i
\(676\) −19.1875 9.24020i −0.737980 0.355392i
\(677\) −21.6084 + 27.0960i −0.830476 + 1.04138i 0.167977 + 0.985791i \(0.446277\pi\)
−0.998453 + 0.0555936i \(0.982295\pi\)
\(678\) 0.0447370 0.196006i 0.00171811 0.00752755i
\(679\) −26.3719 + 33.0693i −1.01206 + 1.26908i
\(680\) 1.01208 + 4.43422i 0.0388116 + 0.170045i
\(681\) 3.63640 0.139347
\(682\) −15.6829 −0.600530
\(683\) 6.51520 + 28.5449i 0.249297 + 1.09224i 0.932260 + 0.361789i \(0.117834\pi\)
−0.682963 + 0.730453i \(0.739309\pi\)
\(684\) 16.7322 + 20.9815i 0.639772 + 0.802249i
\(685\) 14.9976 7.22247i 0.573029 0.275956i
\(686\) 9.54556 + 4.59690i 0.364451 + 0.175511i
\(687\) −1.22474 −0.0467266
\(688\) 10.6969 10.1331i 0.407814 0.386322i
\(689\) 4.97823 0.189655
\(690\) 1.03923 + 0.500466i 0.0395628 + 0.0190524i
\(691\) −4.14406 + 1.99568i −0.157648 + 0.0759191i −0.511044 0.859555i \(-0.670741\pi\)
0.353396 + 0.935474i \(0.385027\pi\)
\(692\) 9.12833 + 11.4466i 0.347007 + 0.435133i
\(693\) −7.98039 34.9644i −0.303150 1.32819i
\(694\) −10.0392 −0.381084
\(695\) −12.0785 −0.458162
\(696\) −0.0823422 0.360765i −0.00312117 0.0136747i
\(697\) −5.37196 + 6.73623i −0.203478 + 0.255153i
\(698\) 0.896125 3.92618i 0.0339188 0.148608i
\(699\) −0.545933 + 0.684579i −0.0206491 + 0.0258932i
\(700\) 3.89493 + 1.87570i 0.147214 + 0.0708947i
\(701\) −0.839733 3.67911i −0.0317163 0.138958i 0.956591 0.291434i \(-0.0941324\pi\)
−0.988307 + 0.152476i \(0.951275\pi\)
\(702\) 0.379626 + 0.182818i 0.0143280 + 0.00690002i
\(703\) −38.0547 47.7191i −1.43526 1.79976i
\(704\) 1.61178 7.06166i 0.0607461 0.266146i
\(705\) 0.0881460 0.386193i 0.00331977 0.0145449i
\(706\) 5.21983 2.51374i 0.196451 0.0946058i
\(707\) 6.04102 + 7.57519i 0.227196 + 0.284895i
\(708\) −1.74160 + 2.18390i −0.0654534 + 0.0820760i
\(709\) −4.38189 + 2.11021i −0.164565 + 0.0792504i −0.514353 0.857578i \(-0.671968\pi\)
0.349788 + 0.936829i \(0.386254\pi\)
\(710\) −9.48188 + 4.56623i −0.355849 + 0.171368i
\(711\) 9.41066 11.8006i 0.352927 0.442557i
\(712\) −21.7364 27.2566i −0.814606 1.02148i
\(713\) −28.1787 + 13.5702i −1.05530 + 0.508207i
\(714\) 0.0693596 0.303884i 0.00259572 0.0113726i
\(715\) 1.35690 5.94495i 0.0507450 0.222328i
\(716\) 2.10424 + 2.63864i 0.0786393 + 0.0986105i
\(717\) −1.86467 0.897976i −0.0696372 0.0335355i
\(718\) −3.47434 15.2221i −0.129661 0.568084i
\(719\) 11.0739 + 5.33291i 0.412987 + 0.198884i 0.628828 0.777544i \(-0.283535\pi\)
−0.215841 + 0.976429i \(0.569249\pi\)
\(720\) 8.29590 10.4027i 0.309170 0.387687i
\(721\) −3.36658 + 14.7500i −0.125378 + 0.549318i
\(722\) −3.35504 + 4.20708i −0.124861 + 0.156571i
\(723\) 1.07098 + 4.69228i 0.0398303 + 0.174508i
\(724\) 14.9849 0.556911
\(725\) 0.911854 0.0338654
\(726\) −0.280700 1.22983i −0.0104178 0.0456432i
\(727\) 26.9426 + 33.7850i 0.999248 + 1.25302i 0.967328 + 0.253526i \(0.0815904\pi\)
0.0319191 + 0.999490i \(0.489838\pi\)
\(728\) 3.03319 1.46071i 0.112417 0.0541374i
\(729\) 22.4383 + 10.8057i 0.831050 + 0.400212i
\(730\) −14.0737 −0.520890
\(731\) 5.28382 5.00536i 0.195429 0.185130i
\(732\) −2.64742 −0.0978513
\(733\) 24.1090 + 11.6103i 0.890487 + 0.428836i 0.822444 0.568847i \(-0.192610\pi\)
0.0680431 + 0.997682i \(0.478324\pi\)
\(734\) 8.22401 3.96048i 0.303554 0.146184i
\(735\) −0.116621 0.146238i −0.00430163 0.00539408i
\(736\) 6.24041 + 27.3410i 0.230024 + 1.00780i
\(737\) 2.21313 0.0815216
\(738\) −12.7549 −0.469516
\(739\) −2.43738 10.6788i −0.0896604 0.392828i 0.910108 0.414372i \(-0.135999\pi\)
−0.999768 + 0.0215444i \(0.993142\pi\)
\(740\) −24.0398 + 30.1450i −0.883721 + 1.10815i
\(741\) 0.151833 0.665225i 0.00557774 0.0244377i
\(742\) 6.84332 8.58125i 0.251226 0.315028i
\(743\) 35.2875 + 16.9935i 1.29457 + 0.623433i 0.949094 0.314994i \(-0.102003\pi\)
0.345478 + 0.938427i \(0.387717\pi\)
\(744\) 0.538269 + 2.35831i 0.0197339 + 0.0864599i
\(745\) 4.00969 + 1.93096i 0.146904 + 0.0707451i
\(746\) 3.73908 + 4.68866i 0.136897 + 0.171664i
\(747\) 9.83081 43.0716i 0.359691 1.57591i
\(748\) 1.98121 8.68026i 0.0724403 0.317382i
\(749\) 4.52595 2.17958i 0.165375 0.0796402i
\(750\) 0.822380 + 1.03123i 0.0300291 + 0.0376553i
\(751\) 7.11596 8.92313i 0.259665 0.325610i −0.634860 0.772627i \(-0.718942\pi\)
0.894525 + 0.447017i \(0.147514\pi\)
\(752\) 2.02446 0.974928i 0.0738244 0.0355520i
\(753\) −3.91281 + 1.88431i −0.142591 + 0.0686681i
\(754\) 0.202907 0.254437i 0.00738942 0.00926604i
\(755\) −0.615957 0.772386i −0.0224170 0.0281100i
\(756\) −4.59837 + 2.21446i −0.167241 + 0.0805390i
\(757\) 6.23048 27.2975i 0.226451 0.992145i −0.726058 0.687634i \(-0.758650\pi\)
0.952509 0.304512i \(-0.0984933\pi\)
\(758\) −1.20022 + 5.25850i −0.0435939 + 0.190997i
\(759\) −3.07188 3.85202i −0.111502 0.139819i
\(760\) 19.7778 + 9.52447i 0.717415 + 0.345489i
\(761\) 6.91281 + 30.2870i 0.250589 + 1.09790i 0.930985 + 0.365058i \(0.118951\pi\)
−0.680395 + 0.732845i \(0.738192\pi\)
\(762\) −0.293741 0.141458i −0.0106411 0.00512449i
\(763\) 13.2585 16.6257i 0.479991 0.601890i
\(764\) −2.84087 + 12.4467i −0.102779 + 0.450305i
\(765\) 4.09783 5.13852i 0.148158 0.185784i
\(766\) −2.91939 12.7907i −0.105482 0.462146i
\(767\) −5.36035 −0.193551
\(768\) 0.662955 0.0239223
\(769\) 2.36467 + 10.3603i 0.0852720 + 0.373601i 0.999501 0.0315975i \(-0.0100595\pi\)
−0.914229 + 0.405199i \(0.867202\pi\)
\(770\) −8.38239 10.5112i −0.302080 0.378797i
\(771\) −0.516689 + 0.248824i −0.0186081 +