Properties

Label 462.2.j.e.379.2
Level $462$
Weight $2$
Character 462.379
Analytic conductor $3.689$
Analytic rank $0$
Dimension $8$
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.j (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.484000000.9
Defining polynomial: \(x^{8} + x^{6} + 16 x^{4} + 66 x^{2} + 121\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 379.2
Root \(-1.73855 - 1.26313i\) of defining polynomial
Character \(\chi\) \(=\) 462.379
Dual form 462.2.j.e.295.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.309017 + 0.951057i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.910415 - 2.80197i) q^{5} +(0.309017 - 0.951057i) q^{6} +(-0.809017 + 0.587785i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})\) \(q+(0.309017 + 0.951057i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.910415 - 2.80197i) q^{5} +(0.309017 - 0.951057i) q^{6} +(-0.809017 + 0.587785i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.309017 + 0.951057i) q^{9} +2.94617 q^{10} +(-3.06668 - 1.26313i) q^{11} +1.00000 q^{12} +(-0.164066 - 0.504942i) q^{13} +(-0.809017 - 0.587785i) q^{14} +(-2.38350 + 1.73171i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.26700 - 6.97709i) q^{17} +(-0.809017 + 0.587785i) q^{18} +(-4.35658 - 3.16524i) q^{19} +(0.910415 + 2.80197i) q^{20} +1.00000 q^{21} +(0.253650 - 3.30691i) q^{22} -0.710097 q^{23} +(0.309017 + 0.951057i) q^{24} +(-2.97709 - 2.16298i) q^{25} +(0.429529 - 0.312071i) q^{26} +(0.309017 - 0.951057i) q^{27} +(0.309017 - 0.951057i) q^{28} +(0.0769587 - 0.0559138i) q^{29} +(-2.38350 - 1.73171i) q^{30} +(-1.55784 - 4.79455i) q^{31} +1.00000 q^{32} +(1.73855 + 2.82444i) q^{33} +7.33615 q^{34} +(0.910415 + 2.80197i) q^{35} +(-0.809017 - 0.587785i) q^{36} +(1.85257 - 1.34597i) q^{37} +(1.66407 - 5.12147i) q^{38} +(-0.164066 + 0.504942i) q^{39} +(-2.38350 + 1.73171i) q^{40} +(1.88999 + 1.37315i) q^{41} +(0.309017 + 0.951057i) q^{42} -0.172587 q^{43} +(3.22344 - 0.780656i) q^{44} +2.94617 q^{45} +(-0.219432 - 0.675342i) q^{46} +(10.6981 + 7.77259i) q^{47} +(-0.809017 + 0.587785i) q^{48} +(0.309017 - 0.951057i) q^{49} +(1.13715 - 3.49978i) q^{50} +(-5.93507 + 4.31208i) q^{51} +(0.429529 + 0.312071i) q^{52} +(-1.22673 - 3.77550i) q^{53} +1.00000 q^{54} +(-6.33119 + 7.44277i) q^{55} +1.00000 q^{56} +(1.66407 + 5.12147i) q^{57} +(0.0769587 + 0.0559138i) q^{58} +(7.40815 - 5.38234i) q^{59} +(0.910415 - 2.80197i) q^{60} +(-2.37263 + 7.30221i) q^{61} +(4.07849 - 2.96320i) q^{62} +(-0.809017 - 0.587785i) q^{63} +(0.309017 + 0.951057i) q^{64} -1.56420 q^{65} +(-2.14896 + 2.52626i) q^{66} -12.9240 q^{67} +(2.26700 + 6.97709i) q^{68} +(0.574481 + 0.417385i) q^{69} +(-2.38350 + 1.73171i) q^{70} +(2.74337 - 8.44322i) q^{71} +(0.309017 - 0.951057i) q^{72} +(-5.25919 + 3.82103i) q^{73} +(1.85257 + 1.34597i) q^{74} +(1.13715 + 3.49978i) q^{75} +5.38503 q^{76} +(3.22344 - 0.780656i) q^{77} -0.530927 q^{78} +(3.17836 + 9.78198i) q^{79} +(-2.38350 - 1.73171i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-0.721910 + 2.22181i) q^{82} +(-4.54522 + 13.9887i) q^{83} +(-0.809017 + 0.587785i) q^{84} +(-17.4857 - 12.7041i) q^{85} +(-0.0533324 - 0.164140i) q^{86} -0.0951262 q^{87} +(1.73855 + 2.82444i) q^{88} +8.61947 q^{89} +(0.910415 + 2.80197i) q^{90} +(0.429529 + 0.312071i) q^{91} +(0.574481 - 0.417385i) q^{92} +(-1.55784 + 4.79455i) q^{93} +(-4.08629 + 12.5763i) q^{94} +(-12.8352 + 9.32532i) q^{95} +(-0.809017 - 0.587785i) q^{96} +(-0.280568 - 0.863499i) q^{97} +1.00000 q^{98} +(0.253650 - 3.30691i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q - 2 q^{2} - 2 q^{3} - 2 q^{4} + 4 q^{5} - 2 q^{6} - 2 q^{7} - 2 q^{8} - 2 q^{9} + O(q^{10}) \) \( 8 q - 2 q^{2} - 2 q^{3} - 2 q^{4} + 4 q^{5} - 2 q^{6} - 2 q^{7} - 2 q^{8} - 2 q^{9} + 4 q^{10} + 8 q^{12} + 4 q^{13} - 2 q^{14} - 6 q^{15} - 2 q^{16} - 8 q^{17} - 2 q^{18} - 12 q^{19} + 4 q^{20} + 8 q^{21} - 4 q^{23} - 2 q^{24} + 4 q^{25} - 6 q^{26} - 2 q^{27} - 2 q^{28} - 4 q^{29} - 6 q^{30} - 14 q^{31} + 8 q^{32} + 12 q^{34} + 4 q^{35} - 2 q^{36} + 10 q^{37} + 8 q^{38} + 4 q^{39} - 6 q^{40} - 12 q^{41} - 2 q^{42} + 20 q^{43} + 4 q^{45} + 6 q^{46} + 28 q^{47} - 2 q^{48} - 2 q^{49} - 6 q^{50} + 2 q^{51} - 6 q^{52} + 2 q^{53} + 8 q^{54} + 4 q^{55} + 8 q^{56} + 8 q^{57} - 4 q^{58} + 4 q^{60} - 34 q^{61} + 6 q^{62} - 2 q^{63} - 2 q^{64} + 16 q^{65} - 24 q^{67} - 8 q^{68} - 4 q^{69} - 6 q^{70} - 2 q^{72} + 10 q^{74} - 6 q^{75} + 8 q^{76} + 4 q^{78} + 22 q^{79} - 6 q^{80} - 2 q^{81} - 2 q^{82} - 30 q^{83} - 2 q^{84} - 28 q^{85} + 36 q^{87} - 4 q^{89} + 4 q^{90} - 6 q^{91} - 4 q^{92} - 14 q^{93} - 22 q^{94} - 30 q^{95} - 2 q^{96} - 10 q^{97} + 8 q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{2}{5}\right)\)

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
\(3\) −0.809017 0.587785i −0.467086 0.339358i
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) 0.910415 2.80197i 0.407150 1.25308i −0.511937 0.859023i \(-0.671072\pi\)
0.919087 0.394056i \(-0.128928\pi\)
\(6\) 0.309017 0.951057i 0.126156 0.388267i
\(7\) −0.809017 + 0.587785i −0.305780 + 0.222162i
\(8\) −0.809017 0.587785i −0.286031 0.207813i
\(9\) 0.309017 + 0.951057i 0.103006 + 0.317019i
\(10\) 2.94617 0.931659
\(11\) −3.06668 1.26313i −0.924638 0.380847i
\(12\) 1.00000 0.288675
\(13\) −0.164066 0.504942i −0.0455036 0.140046i 0.925723 0.378201i \(-0.123457\pi\)
−0.971227 + 0.238155i \(0.923457\pi\)
\(14\) −0.809017 0.587785i −0.216219 0.157092i
\(15\) −2.38350 + 1.73171i −0.615416 + 0.447126i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 2.26700 6.97709i 0.549827 1.69219i −0.159400 0.987214i \(-0.550956\pi\)
0.709227 0.704980i \(-0.249044\pi\)
\(18\) −0.809017 + 0.587785i −0.190687 + 0.138542i
\(19\) −4.35658 3.16524i −0.999468 0.726156i −0.0374940 0.999297i \(-0.511937\pi\)
−0.961974 + 0.273141i \(0.911937\pi\)
\(20\) 0.910415 + 2.80197i 0.203575 + 0.626539i
\(21\) 1.00000 0.218218
\(22\) 0.253650 3.30691i 0.0540785 0.705036i
\(23\) −0.710097 −0.148065 −0.0740327 0.997256i \(-0.523587\pi\)
−0.0740327 + 0.997256i \(0.523587\pi\)
\(24\) 0.309017 + 0.951057i 0.0630778 + 0.194134i
\(25\) −2.97709 2.16298i −0.595418 0.432597i
\(26\) 0.429529 0.312071i 0.0842376 0.0612022i
\(27\) 0.309017 0.951057i 0.0594703 0.183031i
\(28\) 0.309017 0.951057i 0.0583987 0.179733i
\(29\) 0.0769587 0.0559138i 0.0142909 0.0103829i −0.580617 0.814177i \(-0.697189\pi\)
0.594908 + 0.803794i \(0.297189\pi\)
\(30\) −2.38350 1.73171i −0.435165 0.316166i
\(31\) −1.55784 4.79455i −0.279797 0.861127i −0.987910 0.155028i \(-0.950453\pi\)
0.708113 0.706099i \(-0.249547\pi\)
\(32\) 1.00000 0.176777
\(33\) 1.73855 + 2.82444i 0.302642 + 0.491672i
\(34\) 7.33615 1.25814
\(35\) 0.910415 + 2.80197i 0.153888 + 0.473619i
\(36\) −0.809017 0.587785i −0.134836 0.0979642i
\(37\) 1.85257 1.34597i 0.304561 0.221276i −0.424998 0.905194i \(-0.639725\pi\)
0.729559 + 0.683918i \(0.239725\pi\)
\(38\) 1.66407 5.12147i 0.269947 0.830812i
\(39\) −0.164066 + 0.504942i −0.0262715 + 0.0808554i
\(40\) −2.38350 + 1.73171i −0.376864 + 0.273808i
\(41\) 1.88999 + 1.37315i 0.295166 + 0.214451i 0.725505 0.688216i \(-0.241606\pi\)
−0.430339 + 0.902667i \(0.641606\pi\)
\(42\) 0.309017 + 0.951057i 0.0476824 + 0.146751i
\(43\) −0.172587 −0.0263193 −0.0131597 0.999913i \(-0.504189\pi\)
−0.0131597 + 0.999913i \(0.504189\pi\)
\(44\) 3.22344 0.780656i 0.485952 0.117688i
\(45\) 2.94617 0.439188
\(46\) −0.219432 0.675342i −0.0323535 0.0995738i
\(47\) 10.6981 + 7.77259i 1.56047 + 1.13375i 0.935622 + 0.353004i \(0.114840\pi\)
0.624850 + 0.780745i \(0.285160\pi\)
\(48\) −0.809017 + 0.587785i −0.116772 + 0.0848395i
\(49\) 0.309017 0.951057i 0.0441453 0.135865i
\(50\) 1.13715 3.49978i 0.160817 0.494944i
\(51\) −5.93507 + 4.31208i −0.831076 + 0.603812i
\(52\) 0.429529 + 0.312071i 0.0595650 + 0.0432765i
\(53\) −1.22673 3.77550i −0.168505 0.518604i 0.830773 0.556612i \(-0.187899\pi\)
−0.999277 + 0.0380076i \(0.987899\pi\)
\(54\) 1.00000 0.136083
\(55\) −6.33119 + 7.44277i −0.853698 + 1.00358i
\(56\) 1.00000 0.133631
\(57\) 1.66407 + 5.12147i 0.220411 + 0.678355i
\(58\) 0.0769587 + 0.0559138i 0.0101052 + 0.00734184i
\(59\) 7.40815 5.38234i 0.964459 0.700721i 0.0102772 0.999947i \(-0.496729\pi\)
0.954182 + 0.299226i \(0.0967286\pi\)
\(60\) 0.910415 2.80197i 0.117534 0.361733i
\(61\) −2.37263 + 7.30221i −0.303784 + 0.934952i 0.676344 + 0.736586i \(0.263563\pi\)
−0.980128 + 0.198366i \(0.936437\pi\)
\(62\) 4.07849 2.96320i 0.517969 0.376326i
\(63\) −0.809017 0.587785i −0.101927 0.0740540i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) −1.56420 −0.194015
\(66\) −2.14896 + 2.52626i −0.264519 + 0.310961i
\(67\) −12.9240 −1.57891 −0.789457 0.613805i \(-0.789638\pi\)
−0.789457 + 0.613805i \(0.789638\pi\)
\(68\) 2.26700 + 6.97709i 0.274914 + 0.846097i
\(69\) 0.574481 + 0.417385i 0.0691593 + 0.0502472i
\(70\) −2.38350 + 1.73171i −0.284882 + 0.206979i
\(71\) 2.74337 8.44322i 0.325578 1.00203i −0.645601 0.763675i \(-0.723393\pi\)
0.971179 0.238351i \(-0.0766069\pi\)
\(72\) 0.309017 0.951057i 0.0364180 0.112083i
\(73\) −5.25919 + 3.82103i −0.615542 + 0.447217i −0.851361 0.524580i \(-0.824223\pi\)
0.235820 + 0.971797i \(0.424223\pi\)
\(74\) 1.85257 + 1.34597i 0.215357 + 0.156466i
\(75\) 1.13715 + 3.49978i 0.131307 + 0.404120i
\(76\) 5.38503 0.617705
\(77\) 3.22344 0.780656i 0.367345 0.0889640i
\(78\) −0.530927 −0.0601157
\(79\) 3.17836 + 9.78198i 0.357593 + 1.10056i 0.954491 + 0.298241i \(0.0963999\pi\)
−0.596898 + 0.802317i \(0.703600\pi\)
\(80\) −2.38350 1.73171i −0.266483 0.193611i
\(81\) −0.809017 + 0.587785i −0.0898908 + 0.0653095i
\(82\) −0.721910 + 2.22181i −0.0797216 + 0.245358i
\(83\) −4.54522 + 13.9887i −0.498903 + 1.53546i 0.311883 + 0.950121i \(0.399040\pi\)
−0.810785 + 0.585344i \(0.800960\pi\)
\(84\) −0.809017 + 0.587785i −0.0882710 + 0.0641326i
\(85\) −17.4857 12.7041i −1.89659 1.37795i
\(86\) −0.0533324 0.164140i −0.00575098 0.0176997i
\(87\) −0.0951262 −0.0101986
\(88\) 1.73855 + 2.82444i 0.185330 + 0.301086i
\(89\) 8.61947 0.913662 0.456831 0.889553i \(-0.348984\pi\)
0.456831 + 0.889553i \(0.348984\pi\)
\(90\) 0.910415 + 2.80197i 0.0959662 + 0.295354i
\(91\) 0.429529 + 0.312071i 0.0450269 + 0.0327139i
\(92\) 0.574481 0.417385i 0.0598937 0.0435153i
\(93\) −1.55784 + 4.79455i −0.161541 + 0.497172i
\(94\) −4.08629 + 12.5763i −0.421469 + 1.29715i
\(95\) −12.8352 + 9.32532i −1.31686 + 0.956758i
\(96\) −0.809017 0.587785i −0.0825700 0.0599906i
\(97\) −0.280568 0.863499i −0.0284874 0.0876751i 0.935802 0.352526i \(-0.114677\pi\)
−0.964289 + 0.264851i \(0.914677\pi\)
\(98\) 1.00000 0.101015
\(99\) 0.253650 3.30691i 0.0254928 0.332357i
\(100\) 3.67989 0.367989
\(101\) −1.05938 3.26042i −0.105412 0.324424i 0.884415 0.466701i \(-0.154558\pi\)
−0.989827 + 0.142277i \(0.954558\pi\)
\(102\) −5.93507 4.31208i −0.587660 0.426960i
\(103\) 0.146267 0.106269i 0.0144121 0.0104710i −0.580556 0.814220i \(-0.697165\pi\)
0.594968 + 0.803749i \(0.297165\pi\)
\(104\) −0.164066 + 0.504942i −0.0160879 + 0.0495136i
\(105\) 0.910415 2.80197i 0.0888474 0.273444i
\(106\) 3.21163 2.33338i 0.311941 0.226638i
\(107\) −12.2107 8.87158i −1.18045 0.857648i −0.188229 0.982125i \(-0.560275\pi\)
−0.992222 + 0.124477i \(0.960275\pi\)
\(108\) 0.309017 + 0.951057i 0.0297352 + 0.0915155i
\(109\) 6.58783 0.630999 0.315500 0.948926i \(-0.397828\pi\)
0.315500 + 0.948926i \(0.397828\pi\)
\(110\) −9.03494 3.72138i −0.861447 0.354820i
\(111\) −2.28990 −0.217348
\(112\) 0.309017 + 0.951057i 0.0291994 + 0.0898664i
\(113\) 10.9168 + 7.93150i 1.02696 + 0.746132i 0.967699 0.252110i \(-0.0811244\pi\)
0.0592646 + 0.998242i \(0.481124\pi\)
\(114\) −4.35658 + 3.16524i −0.408031 + 0.296452i
\(115\) −0.646483 + 1.98967i −0.0602849 + 0.185538i
\(116\) −0.0293956 + 0.0904704i −0.00272931 + 0.00839996i
\(117\) 0.429529 0.312071i 0.0397100 0.0288510i
\(118\) 7.40815 + 5.38234i 0.681976 + 0.495484i
\(119\) 2.26700 + 6.97709i 0.207815 + 0.639589i
\(120\) 2.94617 0.268947
\(121\) 7.80902 + 7.74721i 0.709911 + 0.704292i
\(122\) −7.67800 −0.695133
\(123\) −0.721910 2.22181i −0.0650924 0.200334i
\(124\) 4.07849 + 2.96320i 0.366259 + 0.266103i
\(125\) 3.14648 2.28605i 0.281430 0.204471i
\(126\) 0.309017 0.951057i 0.0275294 0.0847268i
\(127\) 1.05640 3.25125i 0.0937399 0.288502i −0.893183 0.449693i \(-0.851533\pi\)
0.986923 + 0.161191i \(0.0515335\pi\)
\(128\) −0.809017 + 0.587785i −0.0715077 + 0.0519534i
\(129\) 0.139626 + 0.101444i 0.0122934 + 0.00893167i
\(130\) −0.483364 1.48764i −0.0423938 0.130475i
\(131\) 4.82272 0.421363 0.210682 0.977555i \(-0.432432\pi\)
0.210682 + 0.977555i \(0.432432\pi\)
\(132\) −3.06668 1.26313i −0.266920 0.109941i
\(133\) 5.38503 0.466941
\(134\) −3.99373 12.2914i −0.345006 1.06182i
\(135\) −2.38350 1.73171i −0.205139 0.149042i
\(136\) −5.93507 + 4.31208i −0.508928 + 0.369758i
\(137\) 5.33390 16.4161i 0.455706 1.40252i −0.414599 0.910004i \(-0.636078\pi\)
0.870304 0.492514i \(-0.163922\pi\)
\(138\) −0.219432 + 0.675342i −0.0186793 + 0.0574890i
\(139\) 14.1186 10.2578i 1.19753 0.870053i 0.203487 0.979078i \(-0.434773\pi\)
0.994039 + 0.109024i \(0.0347727\pi\)
\(140\) −2.38350 1.73171i −0.201442 0.146356i
\(141\) −4.08629 12.5763i −0.344128 1.05912i
\(142\) 8.87773 0.745002
\(143\) −0.134670 + 1.75573i −0.0112617 + 0.146821i
\(144\) 1.00000 0.0833333
\(145\) −0.0866043 0.266541i −0.00719209 0.0221350i
\(146\) −5.25919 3.82103i −0.435254 0.316230i
\(147\) −0.809017 + 0.587785i −0.0667266 + 0.0484797i
\(148\) −0.707619 + 2.17783i −0.0581659 + 0.179016i
\(149\) −3.12227 + 9.60936i −0.255786 + 0.787230i 0.737887 + 0.674924i \(0.235824\pi\)
−0.993674 + 0.112306i \(0.964176\pi\)
\(150\) −2.97709 + 2.16298i −0.243079 + 0.176607i
\(151\) 3.05558 + 2.22001i 0.248660 + 0.180662i 0.705133 0.709075i \(-0.250887\pi\)
−0.456473 + 0.889737i \(0.650887\pi\)
\(152\) 1.66407 + 5.12147i 0.134974 + 0.415406i
\(153\) 7.33615 0.593093
\(154\) 1.73855 + 2.82444i 0.140096 + 0.227600i
\(155\) −14.8525 −1.19298
\(156\) −0.164066 0.504942i −0.0131358 0.0404277i
\(157\) −17.7701 12.9107i −1.41821 1.03039i −0.992065 0.125729i \(-0.959873\pi\)
−0.426140 0.904657i \(-0.640127\pi\)
\(158\) −8.32105 + 6.04559i −0.661987 + 0.480962i
\(159\) −1.22673 + 3.77550i −0.0972863 + 0.299416i
\(160\) 0.910415 2.80197i 0.0719746 0.221515i
\(161\) 0.574481 0.417385i 0.0452754 0.0328945i
\(162\) −0.809017 0.587785i −0.0635624 0.0461808i
\(163\) 5.93056 + 18.2524i 0.464517 + 1.42964i 0.859589 + 0.510986i \(0.170720\pi\)
−0.395072 + 0.918650i \(0.629280\pi\)
\(164\) −2.33615 −0.182423
\(165\) 9.49679 2.29994i 0.739324 0.179050i
\(166\) −14.7086 −1.14161
\(167\) 4.80604 + 14.7915i 0.371902 + 1.14460i 0.945545 + 0.325492i \(0.105530\pi\)
−0.573643 + 0.819106i \(0.694470\pi\)
\(168\) −0.809017 0.587785i −0.0624170 0.0453486i
\(169\) 10.2892 7.47552i 0.791475 0.575040i
\(170\) 6.67894 20.5557i 0.512251 1.57655i
\(171\) 1.66407 5.12147i 0.127254 0.391648i
\(172\) 0.139626 0.101444i 0.0106464 0.00773506i
\(173\) −18.1275 13.1704i −1.37820 1.00132i −0.997045 0.0768149i \(-0.975525\pi\)
−0.381159 0.924509i \(-0.624475\pi\)
\(174\) −0.0293956 0.0904704i −0.00222847 0.00685854i
\(175\) 3.67989 0.278173
\(176\) −2.14896 + 2.52626i −0.161984 + 0.190424i
\(177\) −9.15698 −0.688281
\(178\) 2.66356 + 8.19760i 0.199642 + 0.614436i
\(179\) 14.8494 + 10.7887i 1.10989 + 0.806385i 0.982647 0.185486i \(-0.0593861\pi\)
0.127247 + 0.991871i \(0.459386\pi\)
\(180\) −2.38350 + 1.73171i −0.177655 + 0.129074i
\(181\) −1.02971 + 3.16911i −0.0765375 + 0.235558i −0.982004 0.188859i \(-0.939521\pi\)
0.905467 + 0.424417i \(0.139521\pi\)
\(182\) −0.164066 + 0.504942i −0.0121613 + 0.0374288i
\(183\) 6.21163 4.51301i 0.459177 0.333611i
\(184\) 0.574481 + 0.417385i 0.0423513 + 0.0307700i
\(185\) −2.08476 6.41624i −0.153275 0.471731i
\(186\) −5.04129 −0.369645
\(187\) −15.7651 + 18.5330i −1.15286 + 1.35527i
\(188\) −13.2235 −0.964425
\(189\) 0.309017 + 0.951057i 0.0224777 + 0.0691792i
\(190\) −12.8352 9.32532i −0.931164 0.676530i
\(191\) 6.80888 4.94694i 0.492674 0.357948i −0.313538 0.949576i \(-0.601514\pi\)
0.806212 + 0.591627i \(0.201514\pi\)
\(192\) 0.309017 0.951057i 0.0223014 0.0686366i
\(193\) −2.13408 + 6.56804i −0.153615 + 0.472778i −0.998018 0.0629306i \(-0.979955\pi\)
0.844403 + 0.535708i \(0.179955\pi\)
\(194\) 0.734536 0.533672i 0.0527366 0.0383154i
\(195\) 1.26546 + 0.919413i 0.0906217 + 0.0658405i
\(196\) 0.309017 + 0.951057i 0.0220726 + 0.0679326i
\(197\) 10.5788 0.753708 0.376854 0.926273i \(-0.377006\pi\)
0.376854 + 0.926273i \(0.377006\pi\)
\(198\) 3.22344 0.780656i 0.229080 0.0554788i
\(199\) 16.7261 1.18568 0.592842 0.805319i \(-0.298006\pi\)
0.592842 + 0.805319i \(0.298006\pi\)
\(200\) 1.13715 + 3.49978i 0.0804085 + 0.247472i
\(201\) 10.4557 + 7.59652i 0.737489 + 0.535817i
\(202\) 2.77348 2.01505i 0.195142 0.141779i
\(203\) −0.0293956 + 0.0904704i −0.00206317 + 0.00634977i
\(204\) 2.26700 6.97709i 0.158721 0.488494i
\(205\) 5.56821 4.04554i 0.388901 0.282553i
\(206\) 0.146267 + 0.106269i 0.0101909 + 0.00740413i
\(207\) −0.219432 0.675342i −0.0152516 0.0469395i
\(208\) −0.530927 −0.0368132
\(209\) 9.36212 + 15.2097i 0.647591 + 1.05208i
\(210\) 2.94617 0.203305
\(211\) −3.81762 11.7494i −0.262816 0.808864i −0.992189 0.124748i \(-0.960188\pi\)
0.729373 0.684117i \(-0.239812\pi\)
\(212\) 3.21163 + 2.33338i 0.220576 + 0.160258i
\(213\) −7.18223 + 5.21820i −0.492118 + 0.357545i
\(214\) 4.66407 14.3545i 0.318829 0.981255i
\(215\) −0.157126 + 0.483585i −0.0107159 + 0.0329802i
\(216\) −0.809017 + 0.587785i −0.0550466 + 0.0399937i
\(217\) 4.07849 + 2.96320i 0.276866 + 0.201155i
\(218\) 2.03575 + 6.26539i 0.137878 + 0.424346i
\(219\) 6.50072 0.439278
\(220\) 0.747296 9.74271i 0.0503827 0.656853i
\(221\) −3.89496 −0.262003
\(222\) −0.707619 2.17783i −0.0474923 0.146166i
\(223\) −10.7487 7.80938i −0.719786 0.522955i 0.166530 0.986036i \(-0.446744\pi\)
−0.886316 + 0.463081i \(0.846744\pi\)
\(224\) −0.809017 + 0.587785i −0.0540547 + 0.0392731i
\(225\) 1.13715 3.49978i 0.0758099 0.233319i
\(226\) −4.16983 + 12.8334i −0.277373 + 0.853667i
\(227\) 12.1889 8.85578i 0.809008 0.587779i −0.104535 0.994521i \(-0.533335\pi\)
0.913543 + 0.406742i \(0.133335\pi\)
\(228\) −4.35658 3.16524i −0.288522 0.209623i
\(229\) −2.59003 7.97129i −0.171154 0.526758i 0.828283 0.560310i \(-0.189318\pi\)
−0.999437 + 0.0335523i \(0.989318\pi\)
\(230\) −2.09206 −0.137947
\(231\) −3.06668 1.26313i −0.201773 0.0831077i
\(232\) −0.0951262 −0.00624534
\(233\) −1.75627 5.40524i −0.115057 0.354109i 0.876902 0.480669i \(-0.159606\pi\)
−0.991959 + 0.126560i \(0.959606\pi\)
\(234\) 0.429529 + 0.312071i 0.0280792 + 0.0204007i
\(235\) 31.5182 22.8993i 2.05602 1.49379i
\(236\) −2.82966 + 8.70881i −0.184195 + 0.566895i
\(237\) 3.17836 9.78198i 0.206456 0.635408i
\(238\) −5.93507 + 4.31208i −0.384713 + 0.279511i
\(239\) −20.0341 14.5556i −1.29590 0.941524i −0.295990 0.955191i \(-0.595649\pi\)
−0.999907 + 0.0136672i \(0.995649\pi\)
\(240\) 0.910415 + 2.80197i 0.0587670 + 0.180866i
\(241\) 8.91406 0.574205 0.287103 0.957900i \(-0.407308\pi\)
0.287103 + 0.957900i \(0.407308\pi\)
\(242\) −4.95492 + 9.82084i −0.318514 + 0.631307i
\(243\) 1.00000 0.0641500
\(244\) −2.37263 7.30221i −0.151892 0.467476i
\(245\) −2.38350 1.73171i −0.152276 0.110635i
\(246\) 1.88999 1.37315i 0.120501 0.0875491i
\(247\) −0.883498 + 2.71913i −0.0562156 + 0.173014i
\(248\) −1.55784 + 4.79455i −0.0989232 + 0.304454i
\(249\) 11.8995 8.64552i 0.754102 0.547888i
\(250\) 3.14648 + 2.28605i 0.199001 + 0.144583i
\(251\) 0.339359 + 1.04444i 0.0214202 + 0.0659245i 0.961195 0.275869i \(-0.0889656\pi\)
−0.939775 + 0.341794i \(0.888966\pi\)
\(252\) 1.00000 0.0629941
\(253\) 2.17764 + 0.896943i 0.136907 + 0.0563903i
\(254\) 3.41857 0.214500
\(255\) 6.67894 + 20.5557i 0.418252 + 1.28725i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 21.7922 15.8330i 1.35936 0.987635i 0.360877 0.932613i \(-0.382477\pi\)
0.998485 0.0550211i \(-0.0175226\pi\)
\(258\) −0.0533324 + 0.164140i −0.00332033 + 0.0102189i
\(259\) −0.707619 + 2.17783i −0.0439693 + 0.135324i
\(260\) 1.26546 0.919413i 0.0784807 0.0570196i
\(261\) 0.0769587 + 0.0559138i 0.00476362 + 0.00346097i
\(262\) 1.49030 + 4.58668i 0.0920713 + 0.283366i
\(263\) −25.0868 −1.54692 −0.773460 0.633846i \(-0.781475\pi\)
−0.773460 + 0.633846i \(0.781475\pi\)
\(264\) 0.253650 3.30691i 0.0156111 0.203526i
\(265\) −11.6957 −0.718459
\(266\) 1.66407 + 5.12147i 0.102030 + 0.314017i
\(267\) −6.97330 5.06640i −0.426759 0.310059i
\(268\) 10.4557 7.59652i 0.638685 0.464031i
\(269\) 8.17565 25.1621i 0.498478 1.53416i −0.312987 0.949757i \(-0.601330\pi\)
0.811465 0.584401i \(-0.198670\pi\)
\(270\) 0.910415 2.80197i 0.0554061 0.170522i
\(271\) 21.2668 15.4513i 1.29187 0.938598i 0.292028 0.956410i \(-0.405670\pi\)
0.999841 + 0.0178120i \(0.00567004\pi\)
\(272\) −5.93507 4.31208i −0.359866 0.261458i
\(273\) −0.164066 0.504942i −0.00992970 0.0305605i
\(274\) 17.2609 1.04277
\(275\) 6.39766 + 10.3936i 0.385793 + 0.626759i
\(276\) −0.710097 −0.0427428
\(277\) 1.92101 + 5.91225i 0.115422 + 0.355233i 0.992035 0.125964i \(-0.0402023\pi\)
−0.876613 + 0.481197i \(0.840202\pi\)
\(278\) 14.1186 + 10.2578i 0.846778 + 0.615221i
\(279\) 4.07849 2.96320i 0.244173 0.177402i
\(280\) 0.910415 2.80197i 0.0544077 0.167450i
\(281\) −9.51501 + 29.2842i −0.567618 + 1.74695i 0.0924243 + 0.995720i \(0.470538\pi\)
−0.660042 + 0.751229i \(0.729462\pi\)
\(282\) 10.6981 7.77259i 0.637060 0.462851i
\(283\) 11.9872 + 8.70924i 0.712567 + 0.517711i 0.884001 0.467485i \(-0.154840\pi\)
−0.171433 + 0.985196i \(0.554840\pi\)
\(284\) 2.74337 + 8.44322i 0.162789 + 0.501013i
\(285\) 15.8652 0.939772
\(286\) −1.71141 + 0.414471i −0.101198 + 0.0245082i
\(287\) −2.33615 −0.137899
\(288\) 0.309017 + 0.951057i 0.0182090 + 0.0560415i
\(289\) −29.7873 21.6417i −1.75219 1.27304i
\(290\) 0.226733 0.164731i 0.0133142 0.00967335i
\(291\) −0.280568 + 0.863499i −0.0164472 + 0.0506192i
\(292\) 2.00883 6.18255i 0.117558 0.361806i
\(293\) 10.0886 7.32982i 0.589385 0.428213i −0.252711 0.967542i \(-0.581322\pi\)
0.842095 + 0.539329i \(0.181322\pi\)
\(294\) −0.809017 0.587785i −0.0471828 0.0342803i
\(295\) −8.33665 25.6576i −0.485379 1.49384i
\(296\) −2.28990 −0.133098
\(297\) −2.14896 + 2.52626i −0.124695 + 0.146588i
\(298\) −10.1039 −0.585302
\(299\) 0.116502 + 0.358558i 0.00673751 + 0.0207359i
\(300\) −2.97709 2.16298i −0.171882 0.124880i
\(301\) 0.139626 0.101444i 0.00804792 0.00584715i
\(302\) −1.16713 + 3.59205i −0.0671607 + 0.206699i
\(303\) −1.05938 + 3.26042i −0.0608596 + 0.187307i
\(304\) −4.35658 + 3.16524i −0.249867 + 0.181539i
\(305\) 18.3005 + 13.2961i 1.04788 + 0.761331i
\(306\) 2.26700 + 6.97709i 0.129595 + 0.398854i
\(307\) −25.1036 −1.43274 −0.716368 0.697722i \(-0.754197\pi\)
−0.716368 + 0.697722i \(0.754197\pi\)
\(308\) −2.14896 + 2.52626i −0.122448 + 0.143947i
\(309\) −0.180796 −0.0102851
\(310\) −4.58967 14.1255i −0.260676 0.802277i
\(311\) −17.1120 12.4326i −0.970331 0.704987i −0.0148042 0.999890i \(-0.504712\pi\)
−0.955527 + 0.294903i \(0.904712\pi\)
\(312\) 0.429529 0.312071i 0.0243173 0.0176675i
\(313\) 0.671869 2.06780i 0.0379763 0.116879i −0.930271 0.366873i \(-0.880429\pi\)
0.968247 + 0.249994i \(0.0804285\pi\)
\(314\) 6.78756 20.8900i 0.383044 1.17889i
\(315\) −2.38350 + 1.73171i −0.134295 + 0.0975709i
\(316\) −8.32105 6.04559i −0.468095 0.340091i
\(317\) 0.784806 + 2.41538i 0.0440791 + 0.135661i 0.970674 0.240399i \(-0.0772784\pi\)
−0.926595 + 0.376061i \(0.877278\pi\)
\(318\) −3.96979 −0.222615
\(319\) −0.306634 + 0.0742608i −0.0171682 + 0.00415781i
\(320\) 2.94617 0.164696
\(321\) 4.66407 + 14.3545i 0.260323 + 0.801191i
\(322\) 0.574481 + 0.417385i 0.0320146 + 0.0232599i
\(323\) −31.9605 + 23.2207i −1.77833 + 1.29203i
\(324\) 0.309017 0.951057i 0.0171676 0.0528365i
\(325\) −0.603743 + 1.85813i −0.0334896 + 0.103070i
\(326\) −15.5264 + 11.2806i −0.859928 + 0.624774i
\(327\) −5.32966 3.87223i −0.294731 0.214135i
\(328\) −0.721910 2.22181i −0.0398608 0.122679i
\(329\) −13.2235 −0.729036
\(330\) 5.12204 + 8.32126i 0.281959 + 0.458071i
\(331\) −13.6488 −0.750205 −0.375103 0.926983i \(-0.622393\pi\)
−0.375103 + 0.926983i \(0.622393\pi\)
\(332\) −4.54522 13.9887i −0.249451 0.767732i
\(333\) 1.85257 + 1.34597i 0.101520 + 0.0737588i
\(334\) −12.5824 + 9.14162i −0.688476 + 0.500207i
\(335\) −11.7662 + 36.2126i −0.642855 + 1.97850i
\(336\) 0.309017 0.951057i 0.0168583 0.0518844i
\(337\) −8.17230 + 5.93752i −0.445174 + 0.323438i −0.787687 0.616075i \(-0.788722\pi\)
0.342514 + 0.939513i \(0.388722\pi\)
\(338\) 10.2892 + 7.47552i 0.559657 + 0.406615i
\(339\) −4.16983 12.8334i −0.226474 0.697016i
\(340\) 21.6135 1.17216
\(341\) −1.27873 + 16.6711i −0.0692469 + 0.902791i
\(342\) 5.38503 0.291189
\(343\) 0.309017 + 0.951057i 0.0166853 + 0.0513522i
\(344\) 0.139626 + 0.101444i 0.00752814 + 0.00546951i
\(345\) 1.69251 1.22968i 0.0911219 0.0662040i
\(346\) 6.92407 21.3101i 0.372240 1.14564i
\(347\) 9.97952 30.7138i 0.535729 1.64880i −0.206341 0.978480i \(-0.566156\pi\)
0.742069 0.670323i \(-0.233844\pi\)
\(348\) 0.0769587 0.0559138i 0.00412542 0.00299729i
\(349\) 5.34893 + 3.88623i 0.286322 + 0.208025i 0.721670 0.692237i \(-0.243375\pi\)
−0.435348 + 0.900262i \(0.643375\pi\)
\(350\) 1.13715 + 3.49978i 0.0607831 + 0.187071i
\(351\) −0.530927 −0.0283388
\(352\) −3.06668 1.26313i −0.163454 0.0673249i
\(353\) −19.4835 −1.03700 −0.518501 0.855077i \(-0.673510\pi\)
−0.518501 + 0.855077i \(0.673510\pi\)
\(354\) −2.82966 8.70881i −0.150395 0.462868i
\(355\) −21.1600 15.3737i −1.12306 0.815950i
\(356\) −6.97330 + 5.06640i −0.369584 + 0.268519i
\(357\) 2.26700 6.97709i 0.119982 0.369267i
\(358\) −5.67195 + 17.4565i −0.299772 + 0.922603i
\(359\) −7.95052 + 5.77639i −0.419613 + 0.304866i −0.777482 0.628905i \(-0.783503\pi\)
0.357869 + 0.933772i \(0.383503\pi\)
\(360\) −2.38350 1.73171i −0.125621 0.0912693i
\(361\) 3.08972 + 9.50918i 0.162617 + 0.500483i
\(362\) −3.33220 −0.175137
\(363\) −1.76393 10.8576i −0.0925824 0.569879i
\(364\) −0.530927 −0.0278281
\(365\) 5.91835 + 18.2148i 0.309781 + 0.953407i
\(366\) 6.21163 + 4.51301i 0.324687 + 0.235899i
\(367\) 9.01168 6.54737i 0.470406 0.341770i −0.327194 0.944957i \(-0.606103\pi\)
0.797599 + 0.603187i \(0.206103\pi\)
\(368\) −0.219432 + 0.675342i −0.0114387 + 0.0352047i
\(369\) −0.721910 + 2.22181i −0.0375811 + 0.115663i
\(370\) 5.45798 3.96545i 0.283747 0.206154i
\(371\) 3.21163 + 2.33338i 0.166739 + 0.121143i
\(372\) −1.55784 4.79455i −0.0807705 0.248586i
\(373\) −7.65347 −0.396281 −0.198141 0.980174i \(-0.563490\pi\)
−0.198141 + 0.980174i \(0.563490\pi\)
\(374\) −22.4976 9.26649i −1.16332 0.479159i
\(375\) −3.88927 −0.200841
\(376\) −4.08629 12.5763i −0.210735 0.648574i
\(377\) −0.0408595 0.0296861i −0.00210437 0.00152891i
\(378\) −0.809017 + 0.587785i −0.0416113 + 0.0302324i
\(379\) −2.17034 + 6.67961i −0.111483 + 0.343109i −0.991197 0.132394i \(-0.957734\pi\)
0.879714 + 0.475502i \(0.157734\pi\)
\(380\) 4.90261 15.0887i 0.251499 0.774033i
\(381\) −2.76568 + 2.00938i −0.141690 + 0.102944i
\(382\) 6.80888 + 4.94694i 0.348373 + 0.253108i
\(383\) −8.79062 27.0548i −0.449180 1.38243i −0.877834 0.478965i \(-0.841012\pi\)
0.428654 0.903469i \(-0.358988\pi\)
\(384\) 1.00000 0.0510310
\(385\) 0.747296 9.74271i 0.0380857 0.496534i
\(386\) −6.90604 −0.351508
\(387\) −0.0533324 0.164140i −0.00271104 0.00834372i
\(388\) 0.734536 + 0.533672i 0.0372904 + 0.0270931i
\(389\) 5.18355 3.76607i 0.262816 0.190947i −0.448571 0.893747i \(-0.648067\pi\)
0.711388 + 0.702800i \(0.248067\pi\)
\(390\) −0.483364 + 1.48764i −0.0244761 + 0.0753297i
\(391\) −1.60979 + 4.95441i −0.0814104 + 0.250555i
\(392\) −0.809017 + 0.587785i −0.0408615 + 0.0296876i
\(393\) −3.90167 2.83473i −0.196813 0.142993i
\(394\) 3.26903 + 10.0610i 0.164691 + 0.506868i
\(395\) 30.3024 1.52468
\(396\) 1.73855 + 2.82444i 0.0873652 + 0.141933i
\(397\) 30.7498 1.54329 0.771643 0.636056i \(-0.219435\pi\)
0.771643 + 0.636056i \(0.219435\pi\)
\(398\) 5.16866 + 15.9075i 0.259082 + 0.797371i
\(399\) −4.35658 3.16524i −0.218102 0.158460i
\(400\) −2.97709 + 2.16298i −0.148855 + 0.108149i
\(401\) 1.60374 4.93581i 0.0800871 0.246483i −0.902994 0.429653i \(-0.858636\pi\)
0.983081 + 0.183170i \(0.0586359\pi\)
\(402\) −3.99373 + 12.2914i −0.199189 + 0.613041i
\(403\) −2.16538 + 1.57324i −0.107865 + 0.0783687i
\(404\) 2.77348 + 2.01505i 0.137986 + 0.100253i
\(405\) 0.910415 + 2.80197i 0.0452389 + 0.139231i
\(406\) −0.0951262 −0.00472103
\(407\) −7.38137 + 1.78763i −0.365881 + 0.0886093i
\(408\) 7.33615 0.363194
\(409\) 8.37043 + 25.7615i 0.413891 + 1.27383i 0.913239 + 0.407424i \(0.133573\pi\)
−0.499348 + 0.866401i \(0.666427\pi\)
\(410\) 5.56821 + 4.04554i 0.274994 + 0.199795i
\(411\) −13.9643 + 10.1457i −0.688810 + 0.500450i
\(412\) −0.0558691 + 0.171947i −0.00275247 + 0.00847124i
\(413\) −2.82966 + 8.70881i −0.139239 + 0.428532i
\(414\) 0.574481 0.417385i 0.0282342 0.0205133i
\(415\) 35.0580 + 25.4711i 1.72093 + 1.25033i
\(416\) −0.164066 0.504942i −0.00804397 0.0247568i
\(417\) −17.4516 −0.854607
\(418\) −11.5722 + 13.6040i −0.566016 + 0.665391i
\(419\) −23.5391 −1.14996 −0.574980 0.818167i \(-0.694990\pi\)
−0.574980 + 0.818167i \(0.694990\pi\)
\(420\) 0.910415 + 2.80197i 0.0444237 + 0.136722i
\(421\) 6.84088 + 4.97019i 0.333404 + 0.242232i 0.741874 0.670540i \(-0.233937\pi\)
−0.408470 + 0.912772i \(0.633937\pi\)
\(422\) 9.99466 7.26155i 0.486533 0.353487i
\(423\) −4.08629 + 12.5763i −0.198682 + 0.611482i
\(424\) −1.22673 + 3.77550i −0.0595754 + 0.183354i
\(425\) −21.8404 + 15.8680i −1.05941 + 0.769710i
\(426\) −7.18223 5.21820i −0.347980 0.252823i
\(427\) −2.37263 7.30221i −0.114820 0.353379i
\(428\) 15.0932 0.729559
\(429\) 1.14094 1.34126i 0.0550852 0.0647565i
\(430\) −0.508471 −0.0245206
\(431\) 9.86189 + 30.3518i 0.475031 + 1.46199i 0.845916 + 0.533316i \(0.179054\pi\)
−0.370886 + 0.928679i \(0.620946\pi\)
\(432\) −0.809017 0.587785i −0.0389238 0.0282798i
\(433\) −32.6167 + 23.6974i −1.56746 + 1.13883i −0.637918 + 0.770104i \(0.720204\pi\)
−0.929540 + 0.368721i \(0.879796\pi\)
\(434\) −1.55784 + 4.79455i −0.0747789 + 0.230146i
\(435\) −0.0866043 + 0.266541i −0.00415236 + 0.0127796i
\(436\) −5.32966 + 3.87223i −0.255245 + 0.185446i
\(437\) 3.09359 + 2.24763i 0.147987 + 0.107519i
\(438\) 2.00883 + 6.18255i 0.0959857 + 0.295414i
\(439\) 30.2721 1.44481 0.722404 0.691471i \(-0.243037\pi\)
0.722404 + 0.691471i \(0.243037\pi\)
\(440\) 9.49679 2.29994i 0.452742 0.109645i
\(441\) 1.00000 0.0476190
\(442\) −1.20361 3.70433i −0.0572499 0.176197i
\(443\) −2.55179 1.85398i −0.121239 0.0880854i 0.525513 0.850785i \(-0.323873\pi\)
−0.646752 + 0.762700i \(0.723873\pi\)
\(444\) 1.85257 1.34597i 0.0879191 0.0638770i
\(445\) 7.84730 24.1515i 0.371998 1.14489i
\(446\) 4.10564 12.6358i 0.194407 0.598325i
\(447\) 8.17421 5.93891i 0.386627 0.280901i
\(448\) −0.809017 0.587785i −0.0382225 0.0277702i
\(449\) 6.01127 + 18.5008i 0.283690 + 0.873107i 0.986788 + 0.162015i \(0.0517992\pi\)
−0.703099 + 0.711092i \(0.748201\pi\)
\(450\) 3.67989 0.173472
\(451\) −4.06151 6.59831i −0.191249 0.310703i
\(452\) −13.4939 −0.634698
\(453\) −1.16713 3.59205i −0.0548365 0.168769i
\(454\) 12.1889 + 8.85578i 0.572055 + 0.415622i
\(455\) 1.26546 0.919413i 0.0593258 0.0431028i
\(456\) 1.66407 5.12147i 0.0779270 0.239835i
\(457\) −11.6848 + 35.9623i −0.546594 + 1.68224i 0.170576 + 0.985345i \(0.445437\pi\)
−0.717170 + 0.696899i \(0.754563\pi\)
\(458\) 6.78078 4.92653i 0.316845 0.230202i
\(459\) −5.93507 4.31208i −0.277025 0.201271i
\(460\) −0.646483 1.98967i −0.0301424 0.0927689i
\(461\) 15.3852 0.716560 0.358280 0.933614i \(-0.383363\pi\)
0.358280 + 0.933614i \(0.383363\pi\)
\(462\) 0.253650 3.30691i 0.0118009 0.153851i
\(463\) 13.7538 0.639195 0.319597 0.947553i \(-0.396452\pi\)
0.319597 + 0.947553i \(0.396452\pi\)
\(464\) −0.0293956 0.0904704i −0.00136466 0.00419998i
\(465\) 12.0159 + 8.73007i 0.557224 + 0.404847i
\(466\) 4.59797 3.34062i 0.212997 0.154751i
\(467\) −5.88110 + 18.1002i −0.272145 + 0.837576i 0.717816 + 0.696233i \(0.245142\pi\)
−0.989961 + 0.141343i \(0.954858\pi\)
\(468\) −0.164066 + 0.504942i −0.00758393 + 0.0233409i
\(469\) 10.4557 7.59652i 0.482800 0.350775i
\(470\) 31.5182 + 22.8993i 1.45383 + 1.05627i
\(471\) 6.78756 + 20.8900i 0.312754 + 0.962558i
\(472\) −9.15698 −0.421484
\(473\) 0.529270 + 0.218000i 0.0243359 + 0.0100236i
\(474\) 10.2854 0.472423
\(475\) 6.12358 + 18.8464i 0.280969 + 0.864733i
\(476\) −5.93507 4.31208i −0.272034 0.197644i
\(477\) 3.21163 2.33338i 0.147050 0.106838i
\(478\) 7.65233 23.5515i 0.350010 1.07722i
\(479\) 11.0503 34.0094i 0.504902 1.55393i −0.296034 0.955177i \(-0.595664\pi\)
0.800936 0.598751i \(-0.204336\pi\)
\(480\) −2.38350 + 1.73171i −0.108791 + 0.0790415i
\(481\) −0.983580 0.714613i −0.0448474 0.0325835i
\(482\) 2.75460 + 8.47778i 0.125468 + 0.386152i
\(483\) −0.710097 −0.0323105
\(484\) −10.8713 1.67760i −0.494151 0.0762545i
\(485\) −2.67493 −0.121462
\(486\) 0.309017 + 0.951057i 0.0140173 + 0.0431408i
\(487\) 25.4489 + 18.4897i 1.15320 + 0.837848i 0.988903 0.148564i \(-0.0474650\pi\)
0.164295 + 0.986411i \(0.447465\pi\)
\(488\) 6.21163 4.51301i 0.281187 0.204294i
\(489\) 5.93056 18.2524i 0.268189 0.825401i
\(490\) 0.910415 2.80197i 0.0411284 0.126580i
\(491\) 18.8669 13.7076i 0.851453 0.618617i −0.0740931 0.997251i \(-0.523606\pi\)
0.925546 + 0.378634i \(0.123606\pi\)
\(492\) 1.88999 + 1.37315i 0.0852071 + 0.0619066i
\(493\) −0.215651 0.663704i −0.00971241 0.0298917i
\(494\) −2.85906 −0.128635
\(495\) −9.03494 3.72138i −0.406090 0.167264i
\(496\) −5.04129 −0.226361
\(497\) 2.74337 + 8.44322i 0.123057 + 0.378730i
\(498\) 11.8995 + 8.64552i 0.533231 + 0.387415i
\(499\) −1.85774 + 1.34973i −0.0831640 + 0.0604222i −0.628590 0.777737i \(-0.716368\pi\)
0.545426 + 0.838159i \(0.316368\pi\)
\(500\) −1.20185 + 3.69891i −0.0537483 + 0.165420i
\(501\) 4.80604 14.7915i 0.214718 0.660834i
\(502\) −0.888454 + 0.645499i −0.0396536 + 0.0288101i
\(503\) −24.9007 18.0914i −1.11027 0.806657i −0.127562 0.991831i \(-0.540715\pi\)
−0.982706 + 0.185174i \(0.940715\pi\)
\(504\) 0.309017 + 0.951057i 0.0137647 + 0.0423634i
\(505\) −10.1001 −0.449448
\(506\) −0.180116 + 2.34823i −0.00800715 + 0.104391i
\(507\) −12.7181 −0.564831
\(508\) 1.05640 + 3.25125i 0.0468700 + 0.144251i
\(509\) 11.0202 + 8.00665i 0.488462 + 0.354888i 0.804592 0.593827i \(-0.202384\pi\)
−0.316131 + 0.948716i \(0.602384\pi\)
\(510\) −17.4857 + 12.7041i −0.774280 + 0.562547i
\(511\) 2.00883 6.18255i 0.0888655 0.273500i
\(512\) 0.309017 0.951057i 0.0136568 0.0420312i
\(513\) −4.35658 + 3.16524i −0.192348 + 0.139749i
\(514\) 21.7922 + 15.8330i 0.961214 + 0.698363i
\(515\) −0.164600 0.506585i −0.00725312 0.0223228i
\(516\) −0.172587 −0.00759774
\(517\) −22.9897 37.3490i −1.01109 1.64261i
\(518\) −2.28990 −0.100613
\(519\) 6.92407 + 21.3101i 0.303933 + 0.935409i
\(520\) 1.26546 + 0.919413i 0.0554942 + 0.0403189i
\(521\) −29.9244 + 21.7414i −1.31101 + 0.952507i −0.311015 + 0.950405i \(0.600669\pi\)
−0.999998 + 0.00210172i \(0.999331\pi\)
\(522\) −0.0293956 + 0.0904704i −0.00128661 + 0.00395978i
\(523\) 5.09391 15.6774i 0.222741 0.685526i −0.775772 0.631013i \(-0.782639\pi\)
0.998513 0.0545129i \(-0.0173606\pi\)
\(524\) −3.90167 + 2.83473i −0.170445 + 0.123836i
\(525\) −2.97709 2.16298i −0.129931 0.0944004i
\(526\) −7.75225 23.8590i −0.338014 1.04030i
\(527\) −36.9837 −1.61103
\(528\) 3.22344 0.780656i 0.140282 0.0339737i
\(529\) −22.4958 −0.978077
\(530\) −3.61416 11.1232i −0.156989 0.483162i
\(531\) 7.40815 + 5.38234i 0.321486 + 0.233574i
\(532\) −4.35658 + 3.16524i −0.188882 + 0.137231i
\(533\) 0.383282 1.17962i 0.0166018 0.0510950i
\(534\) 2.66356 8.19760i 0.115264 0.354745i
\(535\) −35.9747 + 26.1371i −1.55532 + 1.13001i
\(536\) 10.4557 + 7.59652i 0.451618 + 0.328120i
\(537\) −5.67195 17.4565i −0.244763 0.753302i
\(538\) 26.4570 1.14064
\(539\) −2.14896 + 2.52626i −0.0925623 + 0.108814i
\(540\) 2.94617 0.126783
\(541\) −5.18878 15.9694i −0.223083 0.686579i −0.998481 0.0551056i \(-0.982450\pi\)
0.775397 0.631473i \(-0.217550\pi\)
\(542\) 21.2668 + 15.4513i 0.913489 + 0.663689i
\(543\) 2.69581 1.95862i 0.115688 0.0840523i
\(544\) 2.26700 6.97709i 0.0971966 0.299140i
\(545\) 5.99766 18.4589i 0.256911 0.790692i
\(546\) 0.429529 0.312071i 0.0183821 0.0133554i
\(547\) 20.0494 + 14.5668i 0.857252 + 0.622830i 0.927136 0.374725i \(-0.122263\pi\)
−0.0698841 + 0.997555i \(0.522263\pi\)
\(548\) 5.33390 + 16.4161i 0.227853 + 0.701259i
\(549\) −7.67800 −0.327689
\(550\) −7.90794 + 9.29634i −0.337196 + 0.396397i
\(551\) −0.512257 −0.0218229
\(552\) −0.219432 0.675342i −0.00933965 0.0287445i
\(553\) −8.32105 6.04559i −0.353847 0.257085i
\(554\) −5.02926 + 3.65397i −0.213673 + 0.155242i
\(555\) −2.08476 + 6.41624i −0.0884932 + 0.272354i
\(556\) −5.39283 + 16.5974i −0.228707 + 0.703888i
\(557\) −32.9856 + 23.9654i −1.39764 + 1.01545i −0.402666 + 0.915347i \(0.631916\pi\)
−0.994977 + 0.100100i \(0.968084\pi\)
\(558\) 4.07849 + 2.96320i 0.172656 + 0.125442i
\(559\) 0.0283156 + 0.0871466i 0.00119762 + 0.00368591i
\(560\) 2.94617 0.124498
\(561\) 23.6477 5.72701i 0.998405 0.241794i
\(562\) −30.7912 −1.29885
\(563\) 0.600872 + 1.84929i 0.0253237 + 0.0779384i 0.962920 0.269788i \(-0.0869537\pi\)
−0.937596 + 0.347727i \(0.886954\pi\)
\(564\) 10.6981 + 7.77259i 0.450469 + 0.327285i
\(565\) 32.1626 23.3675i 1.35309 0.983078i
\(566\) −4.57872 + 14.0918i −0.192458 + 0.592324i
\(567\) 0.309017 0.951057i 0.0129775 0.0399406i
\(568\) −7.18223 + 5.21820i −0.301360 + 0.218951i
\(569\) −16.5945 12.0566i −0.695679 0.505440i 0.182843 0.983142i \(-0.441470\pi\)
−0.878522 + 0.477702i \(0.841470\pi\)
\(570\) 4.90261 + 15.0887i 0.205348 + 0.631996i
\(571\) −21.1757 −0.886173 −0.443087 0.896479i \(-0.646117\pi\)
−0.443087 + 0.896479i \(0.646117\pi\)
\(572\) −0.923041 1.49957i −0.0385943 0.0627002i
\(573\) −8.41624 −0.351594
\(574\) −0.721910 2.22181i −0.0301319 0.0927366i
\(575\) 2.11402 + 1.53593i 0.0881609 + 0.0640526i
\(576\) −0.809017 + 0.587785i −0.0337090 + 0.0244911i
\(577\) −12.8383 + 39.5124i −0.534467 + 1.64492i 0.210329 + 0.977631i \(0.432546\pi\)
−0.744797 + 0.667291i \(0.767454\pi\)
\(578\) 11.3777 35.0170i 0.473251 1.45652i
\(579\) 5.58711 4.05927i 0.232192 0.168698i
\(580\) 0.226733 + 0.164731i 0.00941457 + 0.00684009i
\(581\) −4.54522 13.9887i −0.188567 0.580351i
\(582\) −0.907937 −0.0376352
\(583\) −1.00694 + 13.1277i −0.0417032 + 0.543696i
\(584\) 6.50072 0.269002
\(585\) −0.483364 1.48764i −0.0199846 0.0615064i
\(586\) 10.0886 + 7.32982i 0.416758 + 0.302792i
\(587\) 28.2965 20.5586i 1.16792 0.848543i 0.177162 0.984182i \(-0.443309\pi\)
0.990758 + 0.135638i \(0.0433085\pi\)
\(588\) 0.309017 0.951057i 0.0127436 0.0392209i
\(589\) −8.38904 + 25.8188i −0.345664 + 1.06385i
\(590\) 21.8256 15.8573i 0.898547 0.652833i
\(591\) −8.55843 6.21806i −0.352047 0.255777i
\(592\) −0.707619 2.17783i −0.0290830 0.0895081i
\(593\) −23.3437 −0.958611 −0.479306 0.877648i \(-0.659111\pi\)
−0.479306 + 0.877648i \(0.659111\pi\)
\(594\) −3.06668 1.26313i −0.125827 0.0518268i
\(595\) 21.6135 0.886068
\(596\) −3.12227 9.60936i −0.127893 0.393615i
\(597\) −13.5317 9.83138i −0.553817 0.402371i
\(598\) −0.305007 + 0.221601i −0.0124727 + 0.00906193i
\(599\) −2.28291 + 7.02608i −0.0932773 + 0.287078i −0.986801 0.161938i \(-0.948225\pi\)
0.893524 + 0.449016i \(0.148225\pi\)
\(600\) 1.13715 3.49978i 0.0464239 0.142878i
\(601\) 18.7178 13.5993i 0.763517 0.554728i −0.136470 0.990644i \(-0.543576\pi\)
0.899987 + 0.435917i \(0.143576\pi\)
\(602\) 0.139626 + 0.101444i 0.00569074 + 0.00413456i
\(603\) −3.99373 12.2914i −0.162637 0.500546i
\(604\) −3.77691 −0.153680
\(605\) 28.8169 14.8275i 1.17157 0.602822i
\(606\) −3.42821 −0.139262
\(607\) 2.36650 + 7.28334i 0.0960533 + 0.295622i 0.987527 0.157451i \(-0.0503277\pi\)
−0.891473 + 0.453073i \(0.850328\pi\)
\(608\) −4.35658 3.16524i −0.176683 0.128367i
\(609\) 0.0769587 0.0559138i 0.00311852 0.00226574i
\(610\) −6.99016 + 21.5135i −0.283023 + 0.871056i
\(611\) 2.16952 6.67711i 0.0877696 0.270127i
\(612\) −5.93507 + 4.31208i −0.239911 + 0.174306i
\(613\) −15.0507 10.9350i −0.607892 0.441659i 0.240780 0.970580i \(-0.422597\pi\)
−0.848671 + 0.528921i \(0.822597\pi\)
\(614\) −7.75743 23.8749i −0.313064 0.963513i
\(615\) −6.88268 −0.277537
\(616\) −3.06668 1.26313i −0.123560 0.0508929i
\(617\) 2.11892 0.0853044 0.0426522 0.999090i \(-0.486419\pi\)
0.0426522 + 0.999090i \(0.486419\pi\)
\(618\) −0.0558691 0.171947i −0.00224738 0.00691674i
\(619\) 7.68317 + 5.58215i 0.308813 + 0.224365i 0.731387 0.681963i \(-0.238873\pi\)
−0.422574 + 0.906328i \(0.638873\pi\)
\(620\) 12.0159 8.73007i 0.482570 0.350608i
\(621\) −0.219432 + 0.675342i −0.00880550 + 0.0271006i
\(622\) 6.53619 20.1163i 0.262078 0.806592i
\(623\) −6.97330 + 5.06640i −0.279379 + 0.202981i
\(624\) 0.429529 + 0.312071i 0.0171949 + 0.0124928i
\(625\) −9.22659 28.3965i −0.369063 1.13586i
\(626\) 2.17421 0.0868991
\(627\) 1.36592 17.8078i 0.0545494 0.711176i
\(628\) 21.9650 0.876499
\(629\) −5.19120 15.9769i −0.206987 0.637039i
\(630\) −2.38350 1.73171i −0.0949608 0.0689931i
\(631\) 34.6162 25.1501i 1.37805 1.00121i 0.380989 0.924579i \(-0.375583\pi\)
0.997059 0.0766316i \(-0.0244165\pi\)
\(632\) 3.17836 9.78198i 0.126428 0.389106i
\(633\) −3.81762 + 11.7494i −0.151737 + 0.466998i
\(634\) −2.05465 + 1.49279i −0.0816005 + 0.0592862i
\(635\) −8.14815 5.91998i −0.323349 0.234927i
\(636\) −1.22673 3.77550i −0.0486431 0.149708i
\(637\) −0.530927 −0.0210361
\(638\) −0.165381 0.268678i −0.00654750 0.0106371i
\(639\) 8.87773 0.351198
\(640\) 0.910415 + 2.80197i 0.0359873 + 0.110758i
\(641\) 17.7615 + 12.9045i 0.701539 + 0.509698i 0.880433 0.474171i \(-0.157252\pi\)
−0.178894 + 0.983868i \(0.557252\pi\)
\(642\) −12.2107 + 8.87158i −0.481917 + 0.350133i
\(643\) −6.03449 + 18.5723i −0.237977 + 0.732418i 0.758735 + 0.651399i \(0.225818\pi\)
−0.996713 + 0.0810194i \(0.974182\pi\)
\(644\) −0.219432 + 0.675342i −0.00864683 + 0.0266122i
\(645\) 0.411362 0.298872i 0.0161973 0.0117681i
\(646\) −31.9605 23.2207i −1.25747 0.913606i
\(647\) −9.68683 29.8130i −0.380828 1.17207i −0.939461 0.342655i \(-0.888674\pi\)
0.558633 0.829415i \(-0.311326\pi\)
\(648\) 1.00000 0.0392837
\(649\) −29.5170 + 7.14845i −1.15864 + 0.280601i
\(650\) −1.95375 −0.0766325
\(651\) −1.55784 4.79455i −0.0610567 0.187913i
\(652\) −15.5264 11.2806i −0.608061 0.441782i
\(653\) 16.0480 11.6596i 0.628007 0.456273i −0.227702 0.973731i \(-0.573121\pi\)
0.855709 + 0.517457i \(0.173121\pi\)
\(654\) 2.03575 6.26539i 0.0796041 0.244996i
\(655\) 4.39068 13.5131i 0.171558 0.528001i
\(656\) 1.88999 1.37315i 0.0737915 0.0536127i
\(657\) −5.25919 3.82103i −0.205181 0.149072i
\(658\) −4.08629 12.5763i −0.159300 0.490276i
\(659\) 37.3020 1.45308 0.726539 0.687125i \(-0.241128\pi\)
0.726539 + 0.687125i \(0.241128\pi\)
\(660\) −6.33119 + 7.44277i −0.246441 + 0.289709i
\(661\) 5.41129 0.210475 0.105237 0.994447i \(-0.466440\pi\)
0.105237 + 0.994447i \(0.466440\pi\)
\(662\) −4.21771 12.9808i −0.163926 0.504512i
\(663\) 3.15109 + 2.28940i 0.122378 + 0.0889130i
\(664\) 11.8995 8.64552i 0.461792 0.335511i
\(665\) 4.90261 15.0887i 0.190115 0.585114i
\(666\) −0.707619 + 2.17783i −0.0274197 + 0.0843891i
\(667\) −0.0546481 + 0.0397042i −0.00211598 + 0.00153735i
\(668\) −12.5824 9.14162i −0.486826 0.353700i
\(669\) 4.10564 + 12.6358i 0.158733 + 0.488530i
\(670\) −38.0762 −1.47101
\(671\) 16.4997 19.3966i 0.636964 0.748797i
\(672\) 1.00000 0.0385758
\(673\) 14.9180 + 45.9129i 0.575047 + 1.76981i 0.636019 + 0.771674i \(0.280580\pi\)
−0.0609714 + 0.998140i \(0.519420\pi\)
\(674\) −8.17230 5.93752i −0.314785 0.228705i
\(675\) −2.97709 + 2.16298i −0.114588 + 0.0832533i
\(676\) −3.93011 + 12.0956i −0.151158 + 0.465217i
\(677\) 9.07104 27.9178i 0.348629 1.07297i −0.610984 0.791643i \(-0.709226\pi\)
0.959612 0.281325i \(-0.0907740\pi\)
\(678\) 10.9168 7.93150i 0.419256 0.304607i
\(679\) 0.734536 + 0.533672i 0.0281889 + 0.0204804i
\(680\) 6.67894 + 20.5557i 0.256126 + 0.788274i
\(681\) −15.0664 −0.577344
\(682\) −16.2503 + 3.93551i −0.622256 + 0.150699i
\(683\) 24.9058 0.952992 0.476496 0.879177i \(-0.341907\pi\)
0.476496 + 0.879177i \(0.341907\pi\)
\(684\) 1.66407 + 5.12147i 0.0636271 + 0.195824i
\(685\) −41.1412 29.8909i −1.57193 1.14207i
\(686\) −0.809017 + 0.587785i −0.0308884 + 0.0224417i
\(687\) −2.59003 + 7.97129i −0.0988158 + 0.304124i
\(688\) −0.0533324 + 0.164140i −0.00203328 + 0.00625779i
\(689\) −1.70514 + 1.23886i −0.0649607 + 0.0471967i
\(690\) 1.69251 + 1.22968i 0.0644329 + 0.0468133i
\(691\) 10.5427 + 32.4470i 0.401063 + 1.23434i 0.924139 + 0.382057i \(0.124784\pi\)
−0.523076 + 0.852286i \(0.675216\pi\)
\(692\) 22.4068 0.851777
\(693\) 1.73855 + 2.82444i 0.0660419 + 0.107292i
\(694\) 32.2944 1.22588
\(695\) −15.8882 48.8988i −0.602673 1.85484i
\(696\) 0.0769587 + 0.0559138i 0.00291711 + 0.00211941i
\(697\) 13.8652 10.0737i 0.525183 0.381567i
\(698\) −2.04311 + 6.28804i −0.0773328 + 0.238006i
\(699\) −1.75627 + 5.40524i −0.0664282 + 0.204445i
\(700\) −2.97709 + 2.16298i −0.112524 + 0.0817531i
\(701\) 11.4354 + 8.30832i 0.431910 + 0.313801i 0.782412 0.622761i \(-0.213989\pi\)
−0.350502 + 0.936562i \(0.613989\pi\)
\(702\) −0.164066 0.504942i −0.00619225 0.0190578i
\(703\) −12.3312 −0.465080
\(704\) 0.253650 3.30691i 0.00955981 0.124634i
\(705\) −38.9587 −1.46727
\(706\) −6.02073 18.5299i −0.226593 0.697382i
\(707\) 2.77348 + 2.01505i 0.104308 + 0.0757839i
\(708\) 7.40815 5.38234i 0.278415 0.202281i
\(709\) 5.58255 17.1813i 0.209657 0.645258i −0.789833 0.613322i \(-0.789833\pi\)
0.999490 0.0319360i \(-0.0101673\pi\)
\(710\) 8.08242 24.8751i 0.303328 0.933547i
\(711\) −8.32105 + 6.04559i −0.312064 + 0.226727i
\(712\) −6.97330 5.06640i −0.261335 0.189871i
\(713\) 1.10622 + 3.40460i 0.0414283 + 0.127503i
\(714\) 7.33615 0.274549
\(715\) 4.79689 + 1.97578i 0.179394 + 0.0738901i
\(716\) −18.3548 −0.685952
\(717\) 7.65233 + 23.5515i 0.285782 + 0.879546i
\(718\) −7.95052 5.77639i −0.296711 0.215573i
\(719\) 16.4996 11.9877i 0.615333 0.447065i −0.235955 0.971764i \(-0.575822\pi\)
0.851288 + 0.524699i \(0.175822\pi\)
\(720\) 0.910415 2.80197i 0.0339292 0.104423i
\(721\) −0.0558691 + 0.171947i −0.00208067 + 0.00640365i
\(722\) −8.08899 + 5.87699i −0.301041 + 0.218719i
\(723\) −7.21163 5.23955i −0.268203 0.194861i
\(724\) −1.02971 3.16911i −0.0382687 0.117779i
\(725\) −0.350054 −0.0130007
\(726\) 9.78115 5.03280i 0.363013 0.186785i
\(727\) 17.3725 0.644310 0.322155 0.946687i \(-0.395593\pi\)
0.322155 + 0.946687i \(0.395593\pi\)
\(728\) −0.164066 0.504942i −0.00608067 0.0187144i
\(729\) −0.809017 0.587785i −0.0299636 0.0217698i
\(730\) −15.4944 + 11.2574i −0.573475 + 0.416654i
\(731\) −0.391255 + 1.20416i −0.0144711 + 0.0445374i
\(732\) −2.37263 + 7.30221i −0.0876950 + 0.269897i
\(733\) −18.7389 + 13.6146i −0.692138 + 0.502867i −0.877362 0.479829i \(-0.840699\pi\)
0.185225 + 0.982696i \(0.440699\pi\)
\(734\) 9.01168 + 6.54737i 0.332627 + 0.241668i
\(735\) 0.910415 + 2.80197i 0.0335812 + 0.103352i
\(736\) −0.710097 −0.0261745
\(737\) 39.6337 + 16.3246i 1.45992 + 0.601326i
\(738\) −2.33615 −0.0859949
\(739\) −12.6532 38.9425i −0.465455 1.43252i −0.858409 0.512966i \(-0.828547\pi\)
0.392953 0.919558i \(-0.371453\pi\)
\(740\) 5.45798 + 3.96545i 0.200639 + 0.145773i
\(741\) 2.31303 1.68051i 0.0849712 0.0617352i
\(742\) −1.22673 + 3.77550i −0.0450348 + 0.138603i
\(743\) 2.14756 6.60952i 0.0787864 0.242480i −0.903904 0.427736i \(-0.859311\pi\)
0.982690 + 0.185256i \(0.0593114\pi\)
\(744\) 4.07849 2.96320i 0.149525 0.108636i
\(745\) 24.0826 + 17.4970i 0.882318 + 0.641041i
\(746\) −2.36505 7.27888i −0.0865907 0.266499i
\(747\) −14.7086 −0.538161
\(748\) 1.86082 24.2600i 0.0680382 0.887033i
\(749\) 15.0932 0.551495
\(750\) −1.20185 3.69891i −0.0438853 0.135065i
\(751\) 14.0636 + 10.2178i 0.513188 + 0.372853i 0.814032 0.580821i \(-0.197268\pi\)
−0.300844 + 0.953674i \(0.597268\pi\)
\(752\) 10.6981 7.77259i 0.390118 0.283437i
\(753\) 0.339359 1.04444i 0.0123669 0.0380615i
\(754\) 0.0156069 0.0480332i 0.000568371 0.00174926i
\(755\) 9.00225 6.54052i 0.327625 0.238034i
\(756\) −0.809017 0.587785i −0.0294237 0.0213775i
\(757\) 7.10161 + 21.8565i 0.258113 + 0.794389i 0.993200 + 0.116417i \(0.0371409\pi\)
−0.735088 + 0.677972i \(0.762859\pi\)
\(758\) −7.02336 −0.255100
\(759\) −1.23454 2.00563i −0.0448108 0.0727996i
\(760\) 15.8652 0.575491
\(761\) 1.88927 + 5.81457i 0.0684859 + 0.210778i 0.979442 0.201725i \(-0.0646547\pi\)
−0.910956 + 0.412503i \(0.864655\pi\)
\(762\) −2.76568 2.00938i −0.100190 0.0727923i
\(763\) −5.32966 + 3.87223i −0.192947 + 0.140184i
\(764\) −2.60076 + 8.00432i −0.0940923 + 0.289586i
\(765\) 6.67894 20.5557i 0.241478 0.743192i
\(766\) 23.0141 16.7208i 0.831535 0.604145i
\(767\) −3.93319 2.85763i −0.142019 0.103183i
\(768\) 0.309017 + 0.951057i 0.0111507 + 0.0343183i
\(769\) −13.5706 −0.489369 −0.244684 0.969603i \(-0.578684\pi\)
−0.244684 + 0.969603i \(0.578684\pi\)
\(770\) 9.49679 2.29994i 0.342241 0.0828841i
\(771\) −26.9367 −0.970101
\(772\) −2.13408 6.56804i −0.0768074 0.236389i
\(773\) −15.3040 11.1190i −0.550448 0.399924i 0.277502 0.960725i \(-0.410493\pi\)
−0.827951 + 0.560801i \(0.810493\pi\)