Properties

Label 546.2.bv.a.515.17
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 515.17
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.69438 + 0.359266i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-3.75102 - 1.00508i) q^{5} +(-1.54366 - 0.785563i) q^{6} +(1.18204 + 2.36702i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(2.74186 + 1.21747i) q^{9} +O(q^{10})\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.69438 + 0.359266i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-3.75102 - 1.00508i) q^{5} +(-1.54366 - 0.785563i) q^{6} +(1.18204 + 2.36702i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(2.74186 + 1.21747i) q^{9} +(3.36308 + 1.94167i) q^{10} +(1.60373 - 0.429718i) q^{11} +(1.28774 + 1.15832i) q^{12} +(-2.02005 + 2.98654i) q^{13} +(-0.529138 - 2.59230i) q^{14} +(-5.99457 - 3.05061i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-0.0575760 + 0.0997246i) q^{17} +(-2.33333 - 1.88563i) q^{18} +(-0.398277 + 1.48639i) q^{19} +(-2.74594 - 2.74594i) q^{20} +(1.15244 + 4.43530i) q^{21} -1.66030 q^{22} +(3.63473 + 6.29553i) q^{23} +(-0.944069 - 1.45215i) q^{24} +(8.72986 + 5.04019i) q^{25} +(2.72419 - 2.36195i) q^{26} +(4.20835 + 3.04791i) q^{27} +(-0.159828 + 2.64092i) q^{28} +4.96875i q^{29} +(5.00075 + 4.49817i) q^{30} +(-0.532053 + 0.142563i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(2.87171 - 0.151940i) q^{33} +(0.0814248 - 0.0814248i) q^{34} +(-2.05483 - 10.0668i) q^{35} +(1.76578 + 2.42529i) q^{36} +(3.30353 + 0.885179i) q^{37} +(0.769411 - 1.33266i) q^{38} +(-4.49569 + 4.33460i) q^{39} +(1.94167 + 3.36308i) q^{40} +(-7.86460 + 7.86460i) q^{41} +(0.0347642 - 4.58244i) q^{42} -11.3975i q^{43} +(1.60373 + 0.429718i) q^{44} +(-9.06111 - 7.32255i) q^{45} +(-1.88147 - 7.02175i) q^{46} +(0.604808 - 2.25717i) q^{47} +(0.536057 + 1.64701i) q^{48} +(-4.20554 + 5.59584i) q^{49} +(-7.12790 - 7.12790i) q^{50} +(-0.133383 + 0.148286i) q^{51} +(-3.24268 + 1.57639i) q^{52} +(3.26558 + 1.88538i) q^{53} +(-3.27610 - 4.03326i) q^{54} -6.44753 q^{55} +(0.837902 - 2.50957i) q^{56} +(-1.20884 + 2.37542i) q^{57} +(1.28601 - 4.79945i) q^{58} +(5.02522 - 1.34650i) q^{59} +(-3.66615 - 5.63919i) q^{60} +(2.22068 + 3.84633i) q^{61} +0.550821 q^{62} +(0.359226 + 7.92912i) q^{63} +1.00000i q^{64} +(10.5790 - 9.17226i) q^{65} +(-2.81319 - 0.596491i) q^{66} +(9.47855 - 2.53977i) q^{67} +(-0.0997246 + 0.0575760i) q^{68} +(3.89684 + 11.9729i) q^{69} +(-0.620668 + 10.2556i) q^{70} +(-7.46475 + 7.46475i) q^{71} +(-1.07790 - 2.79966i) q^{72} +(-1.57016 - 5.85991i) q^{73} +(-2.96187 - 1.71003i) q^{74} +(12.9809 + 11.6763i) q^{75} +(-1.08811 + 1.08811i) q^{76} +(2.91283 + 3.28811i) q^{77} +(5.46438 - 3.02333i) q^{78} +(-7.63053 - 13.2165i) q^{79} +(-1.00508 - 3.75102i) q^{80} +(6.03554 + 6.67624i) q^{81} +(9.63213 - 5.56111i) q^{82} +(3.41557 - 3.41557i) q^{83} +(-1.21960 + 4.41730i) q^{84} +(0.316201 - 0.316201i) q^{85} +(-2.94990 + 11.0092i) q^{86} +(-1.78511 + 8.41896i) q^{87} +(-1.43787 - 0.830152i) q^{88} +(0.0126633 - 0.0472602i) q^{89} +(6.85714 + 9.41822i) q^{90} +(-9.45697 - 1.25127i) q^{91} +7.26945i q^{92} +(-0.952718 + 0.0504076i) q^{93} +(-1.16840 + 2.02373i) q^{94} +(2.98789 - 5.17518i) q^{95} +(-0.0915135 - 1.72963i) q^{96} +(-4.27601 - 4.27601i) q^{97} +(5.51055 - 4.31669i) q^{98} +(4.92037 + 0.774265i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 16 q^{7} + O(q^{10}) \) \( 144 q - 16 q^{7} + 72 q^{16} + 16 q^{18} + 8 q^{19} + 8 q^{21} + 24 q^{27} - 8 q^{28} - 8 q^{31} + 12 q^{33} - 8 q^{37} + 16 q^{39} - 40 q^{45} + 8 q^{46} + 8 q^{52} - 12 q^{54} - 32 q^{55} + 16 q^{57} + 8 q^{58} - 32 q^{61} - 40 q^{63} - 32 q^{66} - 8 q^{67} + 16 q^{72} + 80 q^{73} - 16 q^{76} + 16 q^{78} - 112 q^{79} - 48 q^{81} + 16 q^{84} - 80 q^{85} + 96 q^{87} - 32 q^{91} + 36 q^{93} - 64 q^{94} - 144 q^{97} - 32 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 0.258819i −0.683013 0.183013i
\(3\) 1.69438 + 0.359266i 0.978251 + 0.207422i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −3.75102 1.00508i −1.67751 0.449487i −0.710389 0.703809i \(-0.751481\pi\)
−0.967120 + 0.254322i \(0.918148\pi\)
\(6\) −1.54366 0.785563i −0.630197 0.320705i
\(7\) 1.18204 + 2.36702i 0.446771 + 0.894648i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) 2.74186 + 1.21747i 0.913952 + 0.405823i
\(10\) 3.36308 + 1.94167i 1.06350 + 0.614011i
\(11\) 1.60373 0.429718i 0.483543 0.129565i −0.00880890 0.999961i \(-0.502804\pi\)
0.492352 + 0.870396i \(0.336137\pi\)
\(12\) 1.28774 + 1.15832i 0.371740 + 0.334379i
\(13\) −2.02005 + 2.98654i −0.560260 + 0.828317i
\(14\) −0.529138 2.59230i −0.141418 0.692821i
\(15\) −5.99457 3.05061i −1.54779 0.787664i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −0.0575760 + 0.0997246i −0.0139642 + 0.0241868i −0.872923 0.487858i \(-0.837778\pi\)
0.858959 + 0.512045i \(0.171112\pi\)
\(18\) −2.33333 1.88563i −0.549970 0.444447i
\(19\) −0.398277 + 1.48639i −0.0913709 + 0.341001i −0.996444 0.0842546i \(-0.973149\pi\)
0.905073 + 0.425255i \(0.139816\pi\)
\(20\) −2.74594 2.74594i −0.614011 0.614011i
\(21\) 1.15244 + 4.43530i 0.251484 + 0.967861i
\(22\) −1.66030 −0.353978
\(23\) 3.63473 + 6.29553i 0.757893 + 1.31271i 0.943923 + 0.330165i \(0.107104\pi\)
−0.186030 + 0.982544i \(0.559562\pi\)
\(24\) −0.944069 1.45215i −0.192707 0.296418i
\(25\) 8.72986 + 5.04019i 1.74597 + 1.00804i
\(26\) 2.72419 2.36195i 0.534257 0.463216i
\(27\) 4.20835 + 3.04791i 0.809898 + 0.586571i
\(28\) −0.159828 + 2.64092i −0.0302047 + 0.499087i
\(29\) 4.96875i 0.922674i 0.887225 + 0.461337i \(0.152630\pi\)
−0.887225 + 0.461337i \(0.847370\pi\)
\(30\) 5.00075 + 4.49817i 0.913009 + 0.821250i
\(31\) −0.532053 + 0.142563i −0.0955595 + 0.0256051i −0.306282 0.951941i \(-0.599085\pi\)
0.210722 + 0.977546i \(0.432418\pi\)
\(32\) −0.258819 0.965926i −0.0457532 0.170753i
\(33\) 2.87171 0.151940i 0.499901 0.0264494i
\(34\) 0.0814248 0.0814248i 0.0139642 0.0139642i
\(35\) −2.05483 10.0668i −0.347329 1.70160i
\(36\) 1.76578 + 2.42529i 0.294297 + 0.404214i
\(37\) 3.30353 + 0.885179i 0.543097 + 0.145522i 0.519930 0.854209i \(-0.325958\pi\)
0.0231677 + 0.999732i \(0.492625\pi\)
\(38\) 0.769411 1.33266i 0.124815 0.216186i
\(39\) −4.49569 + 4.33460i −0.719887 + 0.694091i
\(40\) 1.94167 + 3.36308i 0.307005 + 0.531749i
\(41\) −7.86460 + 7.86460i −1.22824 + 1.22824i −0.263617 + 0.964627i \(0.584916\pi\)
−0.964627 + 0.263617i \(0.915084\pi\)
\(42\) 0.0347642 4.58244i 0.00536423 0.707086i
\(43\) 11.3975i 1.73811i −0.494716 0.869054i \(-0.664728\pi\)
0.494716 0.869054i \(-0.335272\pi\)
\(44\) 1.60373 + 0.429718i 0.241771 + 0.0647825i
\(45\) −9.06111 7.32255i −1.35075 1.09158i
\(46\) −1.88147 7.02175i −0.277408 1.03530i
\(47\) 0.604808 2.25717i 0.0882203 0.329243i −0.907684 0.419654i \(-0.862151\pi\)
0.995905 + 0.0904113i \(0.0288181\pi\)
\(48\) 0.536057 + 1.64701i 0.0773731 + 0.237725i
\(49\) −4.20554 + 5.59584i −0.600792 + 0.799406i
\(50\) −7.12790 7.12790i −1.00804 1.00804i
\(51\) −0.133383 + 0.148286i −0.0186774 + 0.0207642i
\(52\) −3.24268 + 1.57639i −0.449679 + 0.218606i
\(53\) 3.26558 + 1.88538i 0.448562 + 0.258977i 0.707223 0.706991i \(-0.249948\pi\)
−0.258661 + 0.965968i \(0.583281\pi\)
\(54\) −3.27610 4.03326i −0.445821 0.548857i
\(55\) −6.44753 −0.869385
\(56\) 0.837902 2.50957i 0.111969 0.335355i
\(57\) −1.20884 + 2.37542i −0.160115 + 0.314632i
\(58\) 1.28601 4.79945i 0.168861 0.630198i
\(59\) 5.02522 1.34650i 0.654228 0.175300i 0.0835881 0.996500i \(-0.473362\pi\)
0.570640 + 0.821201i \(0.306695\pi\)
\(60\) −3.66615 5.63919i −0.473297 0.728017i
\(61\) 2.22068 + 3.84633i 0.284329 + 0.492472i 0.972446 0.233128i \(-0.0748960\pi\)
−0.688118 + 0.725599i \(0.741563\pi\)
\(62\) 0.550821 0.0699544
\(63\) 0.359226 + 7.92912i 0.0452583 + 0.998975i
\(64\) 1.00000i 0.125000i
\(65\) 10.5790 9.17226i 1.31216 1.13768i
\(66\) −2.81319 0.596491i −0.346280 0.0734230i
\(67\) 9.47855 2.53977i 1.15799 0.310282i 0.371827 0.928302i \(-0.378732\pi\)
0.786162 + 0.618020i \(0.212065\pi\)
\(68\) −0.0997246 + 0.0575760i −0.0120934 + 0.00698212i
\(69\) 3.89684 + 11.9729i 0.469124 + 1.44136i
\(70\) −0.620668 + 10.2556i −0.0741841 + 1.22578i
\(71\) −7.46475 + 7.46475i −0.885903 + 0.885903i −0.994127 0.108223i \(-0.965484\pi\)
0.108223 + 0.994127i \(0.465484\pi\)
\(72\) −1.07790 2.79966i −0.127032 0.329944i
\(73\) −1.57016 5.85991i −0.183773 0.685851i −0.994890 0.100967i \(-0.967806\pi\)
0.811117 0.584885i \(-0.198860\pi\)
\(74\) −2.96187 1.71003i −0.344310 0.198787i
\(75\) 12.9809 + 11.6763i 1.49891 + 1.34827i
\(76\) −1.08811 + 1.08811i −0.124815 + 0.124815i
\(77\) 2.91283 + 3.28811i 0.331948 + 0.374715i
\(78\) 5.46438 3.02333i 0.618719 0.342325i
\(79\) −7.63053 13.2165i −0.858501 1.48697i −0.873358 0.487078i \(-0.838063\pi\)
0.0148570 0.999890i \(-0.495271\pi\)
\(80\) −1.00508 3.75102i −0.112372 0.419377i
\(81\) 6.03554 + 6.67624i 0.670616 + 0.741805i
\(82\) 9.63213 5.56111i 1.06369 0.614122i
\(83\) 3.41557 3.41557i 0.374908 0.374908i −0.494353 0.869261i \(-0.664595\pi\)
0.869261 + 0.494353i \(0.164595\pi\)
\(84\) −1.21960 + 4.41730i −0.133070 + 0.481967i
\(85\) 0.316201 0.316201i 0.0342968 0.0342968i
\(86\) −2.94990 + 11.0092i −0.318096 + 1.18715i
\(87\) −1.78511 + 8.41896i −0.191383 + 0.902608i
\(88\) −1.43787 0.830152i −0.153277 0.0884945i
\(89\) 0.0126633 0.0472602i 0.00134231 0.00500957i −0.965251 0.261323i \(-0.915841\pi\)
0.966594 + 0.256313i \(0.0825079\pi\)
\(90\) 6.85714 + 9.41822i 0.722806 + 0.992768i
\(91\) −9.45697 1.25127i −0.991360 0.131168i
\(92\) 7.26945i 0.757893i
\(93\) −0.952718 + 0.0504076i −0.0987923 + 0.00522703i
\(94\) −1.16840 + 2.02373i −0.120511 + 0.208731i
\(95\) 2.98789 5.17518i 0.306551 0.530962i
\(96\) −0.0915135 1.72963i −0.00934006 0.176530i
\(97\) −4.27601 4.27601i −0.434163 0.434163i 0.455879 0.890042i \(-0.349325\pi\)
−0.890042 + 0.455879i \(0.849325\pi\)
\(98\) 5.51055 4.31669i 0.556650 0.436052i
\(99\) 4.92037 + 0.774265i 0.494515 + 0.0778166i
\(100\) 5.04019 + 8.72986i 0.504019 + 0.872986i
\(101\) 4.86905 8.43344i 0.484489 0.839159i −0.515353 0.856978i \(-0.672339\pi\)
0.999841 + 0.0178194i \(0.00567239\pi\)
\(102\) 0.167218 0.108711i 0.0165570 0.0107640i
\(103\) −14.7567 + 8.51979i −1.45402 + 0.839480i −0.998706 0.0508501i \(-0.983807\pi\)
−0.455316 + 0.890330i \(0.650474\pi\)
\(104\) 3.54019 0.683412i 0.347144 0.0670140i
\(105\) 0.135001 17.7952i 0.0131748 1.73663i
\(106\) −2.66633 2.66633i −0.258977 0.258977i
\(107\) −2.59138 + 1.49613i −0.250518 + 0.144637i −0.620001 0.784601i \(-0.712868\pi\)
0.369483 + 0.929237i \(0.379535\pi\)
\(108\) 2.12058 + 4.74375i 0.204053 + 0.456467i
\(109\) 8.33469 2.23327i 0.798319 0.213909i 0.163473 0.986548i \(-0.447730\pi\)
0.634846 + 0.772639i \(0.281064\pi\)
\(110\) 6.22784 + 1.66874i 0.593801 + 0.159109i
\(111\) 5.27943 + 2.68668i 0.501101 + 0.255008i
\(112\) −1.45888 + 2.20719i −0.137851 + 0.208560i
\(113\) 7.28013i 0.684857i −0.939544 0.342429i \(-0.888750\pi\)
0.939544 0.342429i \(-0.111250\pi\)
\(114\) 1.78246 1.98161i 0.166942 0.185595i
\(115\) −7.30641 27.2679i −0.681326 2.54274i
\(116\) −2.48438 + 4.30307i −0.230669 + 0.399530i
\(117\) −9.17469 + 5.72931i −0.848201 + 0.529675i
\(118\) −5.20249 −0.478928
\(119\) −0.304107 0.0184045i −0.0278775 0.00168714i
\(120\) 2.08169 + 6.39591i 0.190032 + 0.583864i
\(121\) −7.13899 + 4.12170i −0.648999 + 0.374700i
\(122\) −1.14951 4.29002i −0.104071 0.388400i
\(123\) −16.1511 + 10.5001i −1.45630 + 0.946767i
\(124\) −0.532053 0.142563i −0.0477797 0.0128025i
\(125\) −13.9504 13.9504i −1.24776 1.24776i
\(126\) 1.70522 7.75192i 0.151913 0.690596i
\(127\) 1.68233i 0.149283i −0.997210 0.0746414i \(-0.976219\pi\)
0.997210 0.0746414i \(-0.0237812\pi\)
\(128\) 0.258819 0.965926i 0.0228766 0.0853766i
\(129\) 4.09475 19.3118i 0.360523 1.70031i
\(130\) −12.5925 + 6.12168i −1.10443 + 0.536907i
\(131\) 14.6267 8.44474i 1.27794 0.737820i 0.301473 0.953475i \(-0.402522\pi\)
0.976470 + 0.215654i \(0.0691885\pi\)
\(132\) 2.56295 + 1.30427i 0.223076 + 0.113522i
\(133\) −3.98909 + 0.814249i −0.345898 + 0.0706044i
\(134\) −9.81292 −0.847707
\(135\) −12.7222 15.6625i −1.09495 1.34802i
\(136\) 0.111228 0.0298035i 0.00953775 0.00255563i
\(137\) 6.54788 1.75450i 0.559423 0.149897i 0.0319820 0.999488i \(-0.489818\pi\)
0.527441 + 0.849591i \(0.323151\pi\)
\(138\) −0.665253 12.5735i −0.0566301 1.07033i
\(139\) 16.4394 1.39437 0.697185 0.716891i \(-0.254435\pi\)
0.697185 + 0.716891i \(0.254435\pi\)
\(140\) 3.25386 9.74551i 0.275002 0.823646i
\(141\) 1.83570 3.60723i 0.154594 0.303783i
\(142\) 9.14242 5.27838i 0.767215 0.442952i
\(143\) −1.95624 + 5.65765i −0.163589 + 0.473117i
\(144\) 0.316569 + 2.98325i 0.0263808 + 0.248604i
\(145\) 4.99401 18.6379i 0.414730 1.54779i
\(146\) 6.06663i 0.502078i
\(147\) −9.13619 + 7.97057i −0.753540 + 0.657402i
\(148\) 2.41835 + 2.41835i 0.198787 + 0.198787i
\(149\) −21.4408 5.74506i −1.75650 0.470653i −0.770507 0.637431i \(-0.779997\pi\)
−0.985995 + 0.166778i \(0.946664\pi\)
\(150\) −9.51656 14.6382i −0.777024 1.19520i
\(151\) 5.02891 + 18.7681i 0.409247 + 1.52733i 0.796087 + 0.605183i \(0.206900\pi\)
−0.386840 + 0.922147i \(0.626433\pi\)
\(152\) 1.33266 0.769411i 0.108093 0.0624075i
\(153\) −0.279277 + 0.203333i −0.0225782 + 0.0164385i
\(154\) −1.96255 3.92997i −0.158147 0.316686i
\(155\) 2.13903 0.171811
\(156\) −6.06068 + 1.50603i −0.485243 + 0.120579i
\(157\) 2.55645 4.42790i 0.204027 0.353385i −0.745795 0.666175i \(-0.767930\pi\)
0.949822 + 0.312790i \(0.101264\pi\)
\(158\) 3.94985 + 14.7410i 0.314233 + 1.17273i
\(159\) 4.85578 + 4.36777i 0.385089 + 0.346387i
\(160\) 3.88335i 0.307005i
\(161\) −10.6052 + 16.0451i −0.835809 + 1.26453i
\(162\) −4.10195 8.01087i −0.322279 0.629393i
\(163\) −1.46907 0.393636i −0.115066 0.0308319i 0.200826 0.979627i \(-0.435637\pi\)
−0.315893 + 0.948795i \(0.602304\pi\)
\(164\) −10.7432 + 2.87864i −0.838907 + 0.224784i
\(165\) −10.9246 2.31638i −0.850477 0.180330i
\(166\) −4.18320 + 2.41517i −0.324680 + 0.187454i
\(167\) −9.95271 9.95271i −0.770164 0.770164i 0.207971 0.978135i \(-0.433314\pi\)
−0.978135 + 0.207971i \(0.933314\pi\)
\(168\) 2.32133 3.95113i 0.179094 0.304836i
\(169\) −4.83882 12.0659i −0.372217 0.928146i
\(170\) −0.387265 + 0.223588i −0.0297019 + 0.0171484i
\(171\) −2.90165 + 3.59057i −0.221894 + 0.274578i
\(172\) 5.69877 9.87056i 0.434527 0.752623i
\(173\) −9.91681 17.1764i −0.753961 1.30590i −0.945889 0.324490i \(-0.894807\pi\)
0.191928 0.981409i \(-0.438526\pi\)
\(174\) 3.90327 7.67007i 0.295906 0.581467i
\(175\) −1.61113 + 26.6214i −0.121790 + 2.01239i
\(176\) 1.17401 + 1.17401i 0.0884945 + 0.0884945i
\(177\) 8.99839 0.476098i 0.676360 0.0357857i
\(178\) −0.0244637 + 0.0423724i −0.00183363 + 0.00317594i
\(179\) 0.337604 0.584747i 0.0252337 0.0437060i −0.853133 0.521694i \(-0.825300\pi\)
0.878366 + 0.477988i \(0.158634\pi\)
\(180\) −4.18588 10.8721i −0.311997 0.810356i
\(181\) 0.00682105i 0.000507004i 1.00000 0.000253502i \(8.06922e-5\pi\)
−1.00000 0.000253502i \(0.999919\pi\)
\(182\) 8.81088 + 3.65628i 0.653106 + 0.271021i
\(183\) 2.38082 + 7.31496i 0.175995 + 0.540737i
\(184\) 1.88147 7.02175i 0.138704 0.517650i
\(185\) −11.5019 6.64065i −0.845640 0.488231i
\(186\) 0.933301 + 0.197892i 0.0684330 + 0.0145101i
\(187\) −0.0494829 + 0.184673i −0.00361855 + 0.0135046i
\(188\) 1.65237 1.65237i 0.120511 0.120511i
\(189\) −2.24000 + 13.5640i −0.162936 + 0.986637i
\(190\) −4.22551 + 4.22551i −0.306551 + 0.306551i
\(191\) 2.69000 1.55307i 0.194642 0.112376i −0.399512 0.916728i \(-0.630820\pi\)
0.594154 + 0.804352i \(0.297487\pi\)
\(192\) −0.359266 + 1.69438i −0.0259278 + 0.122281i
\(193\) −4.51043 16.8332i −0.324668 1.21168i −0.914645 0.404257i \(-0.867530\pi\)
0.589977 0.807420i \(-0.299137\pi\)
\(194\) 3.02359 + 5.23702i 0.217081 + 0.375996i
\(195\) 21.2201 11.7406i 1.51960 0.840764i
\(196\) −6.44003 + 2.74337i −0.460002 + 0.195955i
\(197\) 13.2890 13.2890i 0.946804 0.946804i −0.0518509 0.998655i \(-0.516512\pi\)
0.998655 + 0.0518509i \(0.0165121\pi\)
\(198\) −4.55231 2.02137i −0.323519 0.143652i
\(199\) 0.842978 + 0.486694i 0.0597571 + 0.0345008i 0.529581 0.848259i \(-0.322349\pi\)
−0.469824 + 0.882760i \(0.655683\pi\)
\(200\) −2.60899 9.73689i −0.184484 0.688502i
\(201\) 16.9727 0.898015i 1.19716 0.0633411i
\(202\) −6.88588 + 6.88588i −0.484489 + 0.484489i
\(203\) −11.7611 + 5.87329i −0.825469 + 0.412224i
\(204\) −0.189657 + 0.0617280i −0.0132786 + 0.00432183i
\(205\) 37.4049 21.5957i 2.61247 1.50831i
\(206\) 16.4590 4.41017i 1.14675 0.307271i
\(207\) 2.30129 + 21.6866i 0.159950 + 1.50732i
\(208\) −3.59644 0.256144i −0.249368 0.0177604i
\(209\) 2.55491i 0.176727i
\(210\) −4.73614 + 17.1539i −0.326825 + 1.18373i
\(211\) −10.4146 −0.716968 −0.358484 0.933536i \(-0.616706\pi\)
−0.358484 + 0.933536i \(0.616706\pi\)
\(212\) 1.88538 + 3.26558i 0.129489 + 0.224281i
\(213\) −15.3300 + 9.96631i −1.05039 + 0.682880i
\(214\) 2.89031 0.774455i 0.197577 0.0529407i
\(215\) −11.4555 + 42.7525i −0.781258 + 2.91569i
\(216\) −0.820556 5.13095i −0.0558318 0.349117i
\(217\) −0.966359 1.09086i −0.0656007 0.0740525i
\(218\) −8.62871 −0.584410
\(219\) −0.555179 10.4930i −0.0375155 0.709054i
\(220\) −5.58373 3.22377i −0.376455 0.217346i
\(221\) −0.181525 0.373401i −0.0122107 0.0251177i
\(222\) −4.40417 3.96155i −0.295589 0.265882i
\(223\) 17.8540 + 17.8540i 1.19559 + 1.19559i 0.975473 + 0.220119i \(0.0706446\pi\)
0.220119 + 0.975473i \(0.429355\pi\)
\(224\) 1.98043 1.75440i 0.132323 0.117221i
\(225\) 17.7997 + 24.4478i 1.18665 + 1.62985i
\(226\) −1.88424 + 7.03207i −0.125338 + 0.467766i
\(227\) 1.11378 + 4.15669i 0.0739244 + 0.275890i 0.992987 0.118221i \(-0.0377192\pi\)
−0.919063 + 0.394111i \(0.871053\pi\)
\(228\) −2.23460 + 1.45275i −0.147990 + 0.0962110i
\(229\) 6.48375 + 1.73732i 0.428458 + 0.114805i 0.466602 0.884467i \(-0.345478\pi\)
−0.0381441 + 0.999272i \(0.512145\pi\)
\(230\) 28.2298i 1.86142i
\(231\) 3.75414 + 6.61780i 0.247004 + 0.435419i
\(232\) 3.51344 3.51344i 0.230669 0.230669i
\(233\) 12.6485 + 21.9079i 0.828632 + 1.43523i 0.899112 + 0.437719i \(0.144213\pi\)
−0.0704803 + 0.997513i \(0.522453\pi\)
\(234\) 10.3449 3.15950i 0.676269 0.206543i
\(235\) −4.53730 + 7.85883i −0.295981 + 0.512653i
\(236\) 5.02522 + 1.34650i 0.327114 + 0.0876499i
\(237\) −8.18079 25.1351i −0.531400 1.63270i
\(238\) 0.288982 + 0.0964862i 0.0187319 + 0.00625427i
\(239\) 18.6250 18.6250i 1.20475 1.20475i 0.232043 0.972706i \(-0.425459\pi\)
0.972706 0.232043i \(-0.0745410\pi\)
\(240\) −0.355379 6.71676i −0.0229396 0.433565i
\(241\) 3.37308 + 12.5885i 0.217279 + 0.810897i 0.985352 + 0.170534i \(0.0545494\pi\)
−0.768072 + 0.640363i \(0.778784\pi\)
\(242\) 7.96250 2.13355i 0.511849 0.137150i
\(243\) 7.82796 + 13.4805i 0.502164 + 0.864772i
\(244\) 4.44135i 0.284329i
\(245\) 21.3994 16.7632i 1.36716 1.07096i
\(246\) 18.3184 5.96215i 1.16794 0.380133i
\(247\) −3.63462 4.19204i −0.231265 0.266733i
\(248\) 0.477025 + 0.275411i 0.0302911 + 0.0174886i
\(249\) 7.01438 4.56018i 0.444518 0.288990i
\(250\) 9.86442 + 17.0857i 0.623881 + 1.08059i
\(251\) −0.347306 −0.0219218 −0.0109609 0.999940i \(-0.503489\pi\)
−0.0109609 + 0.999940i \(0.503489\pi\)
\(252\) −3.65346 + 7.04643i −0.230146 + 0.443884i
\(253\) 8.53443 + 8.53443i 0.536555 + 0.536555i
\(254\) −0.435419 + 1.62501i −0.0273206 + 0.101962i
\(255\) 0.649364 0.422164i 0.0406648 0.0264369i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 2.48837 + 4.30998i 0.155220 + 0.268849i 0.933139 0.359515i \(-0.117058\pi\)
−0.777919 + 0.628365i \(0.783725\pi\)
\(258\) −8.95348 + 17.5939i −0.557420 + 1.09535i
\(259\) 1.80969 + 8.86584i 0.112449 + 0.550896i
\(260\) 13.7478 2.65392i 0.852601 0.164589i
\(261\) −6.04930 + 13.6236i −0.374442 + 0.843280i
\(262\) −16.3140 + 4.37132i −1.00788 + 0.270061i
\(263\) 20.7522 + 11.9813i 1.27964 + 0.738798i 0.976781 0.214239i \(-0.0687272\pi\)
0.302854 + 0.953037i \(0.402061\pi\)
\(264\) −2.13805 1.92317i −0.131588 0.118363i
\(265\) −10.3543 10.3543i −0.636059 0.636059i
\(266\) 4.06391 + 0.245947i 0.249174 + 0.0150800i
\(267\) 0.0384355 0.0755273i 0.00235222 0.00462220i
\(268\) 9.47855 + 2.53977i 0.578995 + 0.155141i
\(269\) −13.6301 7.86934i −0.831042 0.479802i 0.0231673 0.999732i \(-0.492625\pi\)
−0.854209 + 0.519929i \(0.825958\pi\)
\(270\) 8.23496 + 18.4216i 0.501164 + 1.12110i
\(271\) −9.18902 2.46219i −0.558193 0.149567i −0.0313170 0.999510i \(-0.509970\pi\)
−0.526876 + 0.849942i \(0.676637\pi\)
\(272\) −0.115152 −0.00698212
\(273\) −15.5742 5.51770i −0.942592 0.333946i
\(274\) −6.77887 −0.409526
\(275\) 16.1662 + 4.33172i 0.974859 + 0.261213i
\(276\) −2.61167 + 12.3172i −0.157204 + 0.741410i
\(277\) −18.5644 10.7181i −1.11542 0.643991i −0.175196 0.984534i \(-0.556056\pi\)
−0.940229 + 0.340543i \(0.889389\pi\)
\(278\) −15.8792 4.25483i −0.952373 0.255188i
\(279\) −1.63238 0.256870i −0.0977279 0.0153784i
\(280\) −5.66532 + 8.57128i −0.338567 + 0.512232i
\(281\) 13.9815 + 13.9815i 0.834065 + 0.834065i 0.988070 0.154005i \(-0.0492172\pi\)
−0.154005 + 0.988070i \(0.549217\pi\)
\(282\) −2.70677 + 3.00920i −0.161186 + 0.179195i
\(283\) 1.56318 + 0.902500i 0.0929212 + 0.0536481i 0.545741 0.837954i \(-0.316248\pi\)
−0.452819 + 0.891602i \(0.649582\pi\)
\(284\) −10.1970 + 2.73229i −0.605083 + 0.162132i
\(285\) 6.92189 7.69527i 0.410017 0.455829i
\(286\) 3.35389 4.95856i 0.198320 0.293206i
\(287\) −27.9120 9.31934i −1.64759 0.550103i
\(288\) 0.466340 2.96353i 0.0274793 0.174628i
\(289\) 8.49337 + 14.7109i 0.499610 + 0.865350i
\(290\) −9.64769 + 16.7103i −0.566532 + 0.981262i
\(291\) −5.70896 8.78141i −0.334665 0.514775i
\(292\) 1.57016 5.85991i 0.0918866 0.342926i
\(293\) 17.9914 + 17.9914i 1.05107 + 1.05107i 0.998624 + 0.0524444i \(0.0167012\pi\)
0.0524444 + 0.998624i \(0.483299\pi\)
\(294\) 10.8878 5.33436i 0.634990 0.311106i
\(295\) −20.2031 −1.17627
\(296\) −1.71003 2.96187i −0.0993937 0.172155i
\(297\) 8.05881 + 3.07962i 0.467619 + 0.178698i
\(298\) 19.2233 + 11.0986i 1.11358 + 0.642924i
\(299\) −26.1442 1.86202i −1.51196 0.107684i
\(300\) 5.40365 + 16.6025i 0.311980 + 0.958544i
\(301\) 26.9782 13.4724i 1.55500 0.776536i
\(302\) 19.4302i 1.11808i
\(303\) 11.2799 12.5402i 0.648012 0.720414i
\(304\) −1.48639 + 0.398277i −0.0852502 + 0.0228427i
\(305\) −4.46393 16.6596i −0.255604 0.953927i
\(306\) 0.322387 0.124123i 0.0184296 0.00709563i
\(307\) −4.04476 + 4.04476i −0.230847 + 0.230847i −0.813046 0.582199i \(-0.802192\pi\)
0.582199 + 0.813046i \(0.302192\pi\)
\(308\) 0.878530 + 4.30400i 0.0500589 + 0.245243i
\(309\) −28.0644 + 9.13419i −1.59653 + 0.519626i
\(310\) −2.06614 0.553622i −0.117349 0.0314436i
\(311\) −12.2673 + 21.2476i −0.695617 + 1.20484i 0.274356 + 0.961628i \(0.411535\pi\)
−0.969972 + 0.243215i \(0.921798\pi\)
\(312\) 6.24396 + 0.113911i 0.353495 + 0.00644894i
\(313\) −6.33079 10.9653i −0.357837 0.619793i 0.629762 0.776788i \(-0.283152\pi\)
−0.987599 + 0.156996i \(0.949819\pi\)
\(314\) −3.61536 + 3.61536i −0.204027 + 0.204027i
\(315\) 6.62196 30.1034i 0.373105 1.69613i
\(316\) 15.2611i 0.858501i
\(317\) 23.7864 + 6.37354i 1.33598 + 0.357974i 0.854940 0.518727i \(-0.173594\pi\)
0.481037 + 0.876701i \(0.340260\pi\)
\(318\) −3.55986 5.47571i −0.199627 0.307063i
\(319\) 2.13516 + 7.96854i 0.119546 + 0.446153i
\(320\) 1.00508 3.75102i 0.0561859 0.209689i
\(321\) −4.92829 + 1.60402i −0.275070 + 0.0895279i
\(322\) 14.3966 12.7535i 0.802293 0.710725i
\(323\) −0.125298 0.125298i −0.00697178 0.00697178i
\(324\) 1.88881 + 8.79957i 0.104934 + 0.488865i
\(325\) −32.6874 + 15.8906i −1.81317 + 0.881454i
\(326\) 1.31713 + 0.760446i 0.0729491 + 0.0421172i
\(327\) 14.9245 0.789644i 0.825326 0.0436674i
\(328\) 11.1222 0.614122
\(329\) 6.05768 1.23649i 0.333971 0.0681698i
\(330\) 9.95281 + 5.06494i 0.547884 + 0.278816i
\(331\) −3.59268 + 13.4081i −0.197472 + 0.736975i 0.794141 + 0.607733i \(0.207921\pi\)
−0.991613 + 0.129242i \(0.958746\pi\)
\(332\) 4.66576 1.25019i 0.256067 0.0686129i
\(333\) 7.98013 + 6.44898i 0.437308 + 0.353402i
\(334\) 7.03763 + 12.1895i 0.385082 + 0.666981i
\(335\) −38.1069 −2.08200
\(336\) −3.26486 + 3.21570i −0.178113 + 0.175431i
\(337\) 31.7316i 1.72853i −0.503037 0.864265i \(-0.667784\pi\)
0.503037 0.864265i \(-0.332216\pi\)
\(338\) 1.55105 + 12.9071i 0.0843662 + 0.702056i
\(339\) 2.61551 12.3353i 0.142055 0.669963i
\(340\) 0.431938 0.115737i 0.0234251 0.00627674i
\(341\) −0.792007 + 0.457265i −0.0428896 + 0.0247623i
\(342\) 3.73208 2.71723i 0.201808 0.146931i
\(343\) −18.2166 3.34006i −0.983603 0.180346i
\(344\) −8.05928 + 8.05928i −0.434527 + 0.434527i
\(345\) −2.58341 48.8271i −0.139086 2.62877i
\(346\) 5.13332 + 19.1578i 0.275969 + 1.02993i
\(347\) −17.3715 10.0295i −0.932553 0.538410i −0.0449347 0.998990i \(-0.514308\pi\)
−0.887618 + 0.460580i \(0.847641\pi\)
\(348\) −5.75543 + 6.39848i −0.308523 + 0.342995i
\(349\) 7.87668 7.87668i 0.421629 0.421629i −0.464135 0.885764i \(-0.653635\pi\)
0.885764 + 0.464135i \(0.153635\pi\)
\(350\) 8.44637 25.2974i 0.451477 1.35220i
\(351\) −17.6038 + 6.41148i −0.939620 + 0.342219i
\(352\) −0.830152 1.43787i −0.0442473 0.0766385i
\(353\) −1.74028 6.49482i −0.0926258 0.345684i 0.904023 0.427484i \(-0.140600\pi\)
−0.996649 + 0.0817996i \(0.973933\pi\)
\(354\) −8.81500 1.86908i −0.468512 0.0993404i
\(355\) 35.5032 20.4978i 1.88431 1.08791i
\(356\) 0.0345969 0.0345969i 0.00183363 0.00183363i
\(357\) −0.508661 0.140440i −0.0269212 0.00743286i
\(358\) −0.477444 + 0.477444i −0.0252337 + 0.0252337i
\(359\) −3.05190 + 11.3898i −0.161073 + 0.601133i 0.837435 + 0.546536i \(0.184054\pi\)
−0.998508 + 0.0545965i \(0.982613\pi\)
\(360\) 1.22935 + 11.5850i 0.0647923 + 0.610583i
\(361\) 14.4038 + 8.31601i 0.758092 + 0.437685i
\(362\) 0.00176542 0.00658862i 9.27882e−5 0.000346290i
\(363\) −13.5769 + 4.41893i −0.712605 + 0.231933i
\(364\) −7.56434 5.81212i −0.396479 0.304638i
\(365\) 23.5588i 1.23312i
\(366\) −0.406444 7.68191i −0.0212452 0.401540i
\(367\) 9.53041 16.5072i 0.497483 0.861666i −0.502512 0.864570i \(-0.667591\pi\)
0.999996 + 0.00290350i \(0.000924215\pi\)
\(368\) −3.63473 + 6.29553i −0.189473 + 0.328177i
\(369\) −31.1385 + 11.9887i −1.62101 + 0.624107i
\(370\) 9.39130 + 9.39130i 0.488231 + 0.488231i
\(371\) −0.602675 + 9.95829i −0.0312893 + 0.517009i
\(372\) −0.850282 0.432705i −0.0440851 0.0224347i
\(373\) 6.65563 + 11.5279i 0.344615 + 0.596891i 0.985284 0.170926i \(-0.0546760\pi\)
−0.640668 + 0.767818i \(0.721343\pi\)
\(374\) 0.0955937 0.165573i 0.00494303 0.00856158i
\(375\) −18.6254 28.6492i −0.961811 1.47944i
\(376\) −2.02373 + 1.16840i −0.104366 + 0.0602556i
\(377\) −14.8394 10.0371i −0.764266 0.516938i
\(378\) 5.67430 12.5221i 0.291854 0.644066i
\(379\) 23.5222 + 23.5222i 1.20825 + 1.20825i 0.971592 + 0.236660i \(0.0760528\pi\)
0.236660 + 0.971592i \(0.423947\pi\)
\(380\) 5.17518 2.98789i 0.265481 0.153275i
\(381\) 0.604405 2.85051i 0.0309646 0.146036i
\(382\) −3.00031 + 0.803930i −0.153509 + 0.0411326i
\(383\) 7.92419 + 2.12328i 0.404907 + 0.108495i 0.455524 0.890224i \(-0.349452\pi\)
−0.0506167 + 0.998718i \(0.516119\pi\)
\(384\) 0.785563 1.54366i 0.0400881 0.0787747i
\(385\) −7.62127 15.2614i −0.388416 0.777794i
\(386\) 17.4270i 0.887009i
\(387\) 13.8761 31.2504i 0.705364 1.58855i
\(388\) −1.56513 5.84113i −0.0794573 0.296539i
\(389\) 14.1756 24.5528i 0.718729 1.24488i −0.242775 0.970083i \(-0.578058\pi\)
0.961504 0.274792i \(-0.0886091\pi\)
\(390\) −23.5357 + 5.84842i −1.19178 + 0.296146i
\(391\) −0.837092 −0.0423336
\(392\) 6.93062 0.983088i 0.350049 0.0496534i
\(393\) 27.8172 9.05372i 1.40319 0.456700i
\(394\) −16.2757 + 9.39676i −0.819956 + 0.473402i
\(395\) 15.3386 + 57.2446i 0.771771 + 2.88029i
\(396\) 3.87403 + 3.13072i 0.194677 + 0.157324i
\(397\) −28.5371 7.64650i −1.43224 0.383767i −0.542429 0.840101i \(-0.682495\pi\)
−0.889808 + 0.456334i \(0.849162\pi\)
\(398\) −0.688289 0.688289i −0.0345008 0.0345008i
\(399\) −7.05157 0.0534959i −0.353020 0.00267815i
\(400\) 10.0804i 0.504019i
\(401\) −3.39116 + 12.6560i −0.169346 + 0.632009i 0.828100 + 0.560581i \(0.189422\pi\)
−0.997446 + 0.0714277i \(0.977244\pi\)
\(402\) −16.6268 3.52545i −0.829270 0.175833i
\(403\) 0.649002 1.87698i 0.0323291 0.0934990i
\(404\) 8.43344 4.86905i 0.419579 0.242244i
\(405\) −15.9293 31.1090i −0.791532 1.54582i
\(406\) 12.8805 2.62916i 0.639248 0.130483i
\(407\) 5.67835 0.281466
\(408\) 0.199171 0.0105380i 0.00986041 0.000521707i
\(409\) 11.1414 2.98534i 0.550909 0.147616i 0.0273824 0.999625i \(-0.491283\pi\)
0.523526 + 0.852009i \(0.324616\pi\)
\(410\) −41.7197 + 11.1788i −2.06039 + 0.552080i
\(411\) 11.7249 0.620358i 0.578349 0.0306000i
\(412\) −17.0396 −0.839480
\(413\) 9.12723 + 10.3032i 0.449122 + 0.506985i
\(414\) 3.39003 21.5433i 0.166611 1.05879i
\(415\) −16.2448 + 9.37895i −0.797427 + 0.460395i
\(416\) 3.40760 + 1.17824i 0.167071 + 0.0577681i
\(417\) 27.8546 + 5.90612i 1.36405 + 0.289224i
\(418\) 0.661260 2.46786i 0.0323433 0.120707i
\(419\) 5.02683i 0.245577i −0.992433 0.122788i \(-0.960816\pi\)
0.992433 0.122788i \(-0.0391836\pi\)
\(420\) 9.01452 15.3436i 0.439864 0.748691i
\(421\) 16.5897 + 16.5897i 0.808531 + 0.808531i 0.984412 0.175880i \(-0.0562771\pi\)
−0.175880 + 0.984412i \(0.556277\pi\)
\(422\) 10.0597 + 2.69549i 0.489699 + 0.131214i
\(423\) 4.40633 5.45251i 0.214243 0.265110i
\(424\) −0.975946 3.64228i −0.0473961 0.176885i
\(425\) −1.00526 + 0.580388i −0.0487623 + 0.0281529i
\(426\) 17.3871 5.65902i 0.842407 0.274181i
\(427\) −6.47938 + 9.80291i −0.313559 + 0.474396i
\(428\) −2.99227 −0.144637
\(429\) −5.34722 + 8.88341i −0.258166 + 0.428895i
\(430\) 22.1303 38.3308i 1.06722 1.84848i
\(431\) −4.15728 15.5152i −0.200249 0.747339i −0.990845 0.135002i \(-0.956896\pi\)
0.790596 0.612338i \(-0.209771\pi\)
\(432\) −0.535392 + 5.16850i −0.0257591 + 0.248669i
\(433\) 26.7031i 1.28327i 0.767010 + 0.641635i \(0.221744\pi\)
−0.767010 + 0.641635i \(0.778256\pi\)
\(434\) 0.651095 + 1.30380i 0.0312536 + 0.0625846i
\(435\) 15.1577 29.7855i 0.726758 1.42811i
\(436\) 8.33469 + 2.23327i 0.399159 + 0.106954i
\(437\) −10.8052 + 2.89525i −0.516884 + 0.138499i
\(438\) −2.17954 + 10.2792i −0.104142 + 0.491158i
\(439\) −0.927098 + 0.535260i −0.0442480 + 0.0255466i −0.521961 0.852969i \(-0.674799\pi\)
0.477713 + 0.878516i \(0.341466\pi\)
\(440\) 4.55910 + 4.55910i 0.217346 + 0.217346i
\(441\) −18.3437 + 10.2229i −0.873512 + 0.486803i
\(442\) 0.0786962 + 0.407660i 0.00374320 + 0.0193904i
\(443\) 17.3480 10.0159i 0.824227 0.475868i −0.0276451 0.999618i \(-0.508801\pi\)
0.851872 + 0.523750i \(0.175467\pi\)
\(444\) 3.22878 + 4.96645i 0.153231 + 0.235697i
\(445\) −0.0950010 + 0.164546i −0.00450348 + 0.00780025i
\(446\) −12.6247 21.8666i −0.597796 1.03541i
\(447\) −34.2649 17.4373i −1.62068 0.824755i
\(448\) −2.36702 + 1.18204i −0.111831 + 0.0558463i
\(449\) 4.25837 + 4.25837i 0.200965 + 0.200965i 0.800413 0.599448i \(-0.204613\pi\)
−0.599448 + 0.800413i \(0.704613\pi\)
\(450\) −10.8657 28.2217i −0.512213 1.33038i
\(451\) −9.23314 + 15.9923i −0.434772 + 0.753047i
\(452\) 3.64007 6.30478i 0.171214 0.296552i
\(453\) 1.77813 + 33.6071i 0.0835437 + 1.57900i
\(454\) 4.30333i 0.201965i
\(455\) 34.2157 + 14.1986i 1.60406 + 0.665640i
\(456\) 2.53446 0.824896i 0.118687 0.0386293i
\(457\) 5.88954 21.9801i 0.275501 1.02818i −0.680004 0.733209i \(-0.738022\pi\)
0.955505 0.294976i \(-0.0953116\pi\)
\(458\) −5.81317 3.35624i −0.271632 0.156827i
\(459\) −0.546252 + 0.244190i −0.0254969 + 0.0113978i
\(460\) 7.30641 27.2679i 0.340663 1.27137i
\(461\) −10.4546 + 10.4546i −0.486917 + 0.486917i −0.907332 0.420415i \(-0.861885\pi\)
0.420415 + 0.907332i \(0.361885\pi\)
\(462\) −1.91341 7.36394i −0.0890198 0.342602i
\(463\) 7.65222 7.65222i 0.355629 0.355629i −0.506570 0.862199i \(-0.669087\pi\)
0.862199 + 0.506570i \(0.169087\pi\)
\(464\) −4.30307 + 2.48438i −0.199765 + 0.115334i
\(465\) 3.62433 + 0.768481i 0.168074 + 0.0356375i
\(466\) −6.54735 24.4350i −0.303300 1.13193i
\(467\) −8.43515 14.6101i −0.390332 0.676075i 0.602161 0.798375i \(-0.294307\pi\)
−0.992493 + 0.122299i \(0.960973\pi\)
\(468\) −10.8102 + 0.374383i −0.499700 + 0.0173058i
\(469\) 17.2157 + 19.4338i 0.794949 + 0.897368i
\(470\) 6.41671 6.41671i 0.295981 0.295981i
\(471\) 5.92239 6.58410i 0.272889 0.303379i
\(472\) −4.50549 2.60124i −0.207382 0.119732i
\(473\) −4.89773 18.2786i −0.225198 0.840450i
\(474\) 1.39659 + 26.3960i 0.0641476 + 1.21241i
\(475\) −10.9686 + 10.9686i −0.503273 + 0.503273i
\(476\) −0.254162 0.167992i −0.0116495 0.00769992i
\(477\) 6.65835 + 9.14519i 0.304865 + 0.418729i
\(478\) −22.8108 + 13.1698i −1.04334 + 0.602374i
\(479\) 26.1862 7.01658i 1.19648 0.320596i 0.395035 0.918666i \(-0.370732\pi\)
0.801444 + 0.598070i \(0.204066\pi\)
\(480\) −1.39516 + 6.57987i −0.0636798 + 0.300328i
\(481\) −9.31691 + 8.07802i −0.424815 + 0.368326i
\(482\) 13.0326i 0.593618i
\(483\) −23.7337 + 23.3763i −1.07992 + 1.06366i
\(484\) −8.24339 −0.374700
\(485\) 11.7417 + 20.3371i 0.533161 + 0.923462i
\(486\) −4.07223 15.0472i −0.184720 0.682553i
\(487\) 11.7633 3.15197i 0.533047 0.142829i 0.0177518 0.999842i \(-0.494349\pi\)
0.515295 + 0.857013i \(0.327682\pi\)
\(488\) 1.14951 4.29002i 0.0520357 0.194200i
\(489\) −2.34774 1.19476i −0.106169 0.0540287i
\(490\) −25.0088 + 10.6534i −1.12978 + 0.481274i
\(491\) −15.4732 −0.698297 −0.349149 0.937067i \(-0.613529\pi\)
−0.349149 + 0.937067i \(0.613529\pi\)
\(492\) −19.2374 + 1.01783i −0.867287 + 0.0458875i
\(493\) −0.495507 0.286081i −0.0223165 0.0128844i
\(494\) 2.42579 + 4.98991i 0.109141 + 0.224507i
\(495\) −17.6782 7.84967i −0.794576 0.352816i
\(496\) −0.389490 0.389490i −0.0174886 0.0174886i
\(497\) −26.4929 8.84553i −1.18837 0.396776i
\(498\) −7.95563 + 2.58934i −0.356500 + 0.116031i
\(499\) −4.56088 + 17.0214i −0.204173 + 0.761984i 0.785527 + 0.618827i \(0.212392\pi\)
−0.989700 + 0.143157i \(0.954275\pi\)
\(500\) −5.10620 19.0566i −0.228356 0.852237i
\(501\) −13.2880 20.4394i −0.593665 0.913163i
\(502\) 0.335472 + 0.0898895i 0.0149729 + 0.00401196i
\(503\) 6.14841i 0.274144i 0.990561 + 0.137072i \(0.0437692\pi\)
−0.990561 + 0.137072i \(0.956231\pi\)
\(504\) 5.35272 5.86075i 0.238429 0.261058i
\(505\) −26.7402 + 26.7402i −1.18992 + 1.18992i
\(506\) −6.03475 10.4525i −0.268277 0.464670i
\(507\) −3.86393 22.1827i −0.171603 0.985166i
\(508\) 0.841165 1.45694i 0.0373207 0.0646413i
\(509\) −11.4544 3.06919i −0.507706 0.136039i −0.00413183 0.999991i \(-0.501315\pi\)
−0.503574 + 0.863952i \(0.667982\pi\)
\(510\) −0.736502 + 0.239711i −0.0326129 + 0.0106146i
\(511\) 12.0145 10.6433i 0.531491 0.470831i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −6.20647 + 5.04133i −0.274022 + 0.222580i
\(514\) −1.28807 4.80716i −0.0568145 0.212035i
\(515\) 63.9159 17.1262i 2.81647 0.754671i
\(516\) 13.2021 14.6771i 0.581188 0.646124i
\(517\) 3.87979i 0.170633i
\(518\) 0.546624 9.03212i 0.0240173 0.396849i
\(519\) −10.6319 32.6662i −0.466691 1.43389i
\(520\) −13.9662 0.994694i −0.612459 0.0436202i
\(521\) 6.51520 + 3.76155i 0.285436 + 0.164797i 0.635882 0.771786i \(-0.280637\pi\)
−0.350446 + 0.936583i \(0.613970\pi\)
\(522\) 9.36922 11.5937i 0.410080 0.507443i
\(523\) −16.9961 29.4381i −0.743188 1.28724i −0.951036 0.309079i \(-0.899979\pi\)
0.207848 0.978161i \(-0.433354\pi\)
\(524\) 16.8895 0.737820
\(525\) −12.2941 + 44.5281i −0.536557 + 1.94336i
\(526\) −16.9441 16.9441i −0.738798 0.738798i
\(527\) 0.0164164 0.0612669i 0.000715111 0.00266883i
\(528\) 1.56744 + 2.41101i 0.0682141 + 0.104926i
\(529\) −14.9225 + 25.8465i −0.648803 + 1.12376i
\(530\) 7.32159 + 12.6814i 0.318030 + 0.550844i
\(531\) 15.4177 + 2.42613i 0.669073 + 0.105285i
\(532\) −3.86178 1.28938i −0.167429 0.0559018i
\(533\) −7.60106 39.3748i −0.329239 1.70551i
\(534\) −0.0566738 + 0.0630059i −0.00245251 + 0.00272653i
\(535\) 11.2241 3.00748i 0.485258 0.130025i
\(536\) −8.49823 4.90646i −0.367068 0.211927i
\(537\) 0.782109 0.869494i 0.0337505 0.0375214i
\(538\) 11.1289 + 11.1289i 0.479802 + 0.479802i
\(539\) −4.33992 + 10.7814i −0.186934 + 0.464388i
\(540\) −3.18650 19.9253i −0.137125 0.857447i
\(541\) −1.09015 0.292104i −0.0468691 0.0125585i 0.235308 0.971921i \(-0.424390\pi\)
−0.282177 + 0.959362i \(0.591057\pi\)
\(542\) 8.23865 + 4.75659i 0.353880 + 0.204313i
\(543\) −0.00245057 + 0.0115575i −0.000105164 + 0.000495978i
\(544\) 0.111228 + 0.0298035i 0.00476887 + 0.00127782i
\(545\) −33.5083 −1.43534
\(546\) 13.6154 + 9.36058i 0.582686 + 0.400596i
\(547\) −38.4866 −1.64557 −0.822785 0.568353i \(-0.807581\pi\)
−0.822785 + 0.568353i \(0.807581\pi\)
\(548\) 6.54788 + 1.75450i 0.279712 + 0.0749485i
\(549\) 1.40600 + 13.2497i 0.0600065 + 0.565482i
\(550\) −14.4942 8.36824i −0.618036 0.356823i
\(551\) −7.38550 1.97894i −0.314633 0.0843056i
\(552\) 5.71061 11.2216i 0.243060 0.477622i
\(553\) 22.2640 33.6840i 0.946760 1.43239i
\(554\) 15.1577 + 15.1577i 0.643991 + 0.643991i
\(555\) −17.1029 15.3841i −0.725979 0.653017i
\(556\) 14.2369 + 8.21970i 0.603780 + 0.348593i
\(557\) 15.3629 4.11647i 0.650946 0.174420i 0.0817892 0.996650i \(-0.473937\pi\)
0.569156 + 0.822229i \(0.307270\pi\)
\(558\) 1.51027 + 0.670607i 0.0639349 + 0.0283891i
\(559\) 34.0392 + 23.0236i 1.43970 + 0.973794i
\(560\) 7.69068 6.81293i 0.324991 0.287899i
\(561\) −0.150190 + 0.295129i −0.00634101 + 0.0124603i
\(562\) −9.88640 17.1237i −0.417033 0.722322i
\(563\) −15.1190 + 26.1868i −0.637188 + 1.10364i 0.348859 + 0.937175i \(0.386569\pi\)
−0.986047 + 0.166467i \(0.946764\pi\)
\(564\) 3.39338 2.20610i 0.142887 0.0928935i
\(565\) −7.31714 + 27.3080i −0.307835 + 1.14885i
\(566\) −1.27633 1.27633i −0.0536481 0.0536481i
\(567\) −8.66851 + 22.1778i −0.364043 + 0.931382i
\(568\) 10.5568 0.442952
\(569\) 7.47917 + 12.9543i 0.313543 + 0.543072i 0.979127 0.203251i \(-0.0651507\pi\)
−0.665584 + 0.746323i \(0.731817\pi\)
\(570\) −8.67772 + 5.64155i −0.363469 + 0.236298i
\(571\) 9.20784 + 5.31615i 0.385336 + 0.222474i 0.680137 0.733085i \(-0.261920\pi\)
−0.294801 + 0.955559i \(0.595253\pi\)
\(572\) −4.52298 + 3.92155i −0.189115 + 0.163968i
\(573\) 5.11585 1.66507i 0.213718 0.0695593i
\(574\) 24.5489 + 16.2259i 1.02465 + 0.677258i
\(575\) 73.2788i 3.05594i
\(576\) −1.21747 + 2.74186i −0.0507278 + 0.114244i
\(577\) 6.74416 1.80709i 0.280763 0.0752303i −0.115689 0.993285i \(-0.536908\pi\)
0.396453 + 0.918055i \(0.370241\pi\)
\(578\) −4.39649 16.4079i −0.182870 0.682480i
\(579\) −1.59480 30.1422i −0.0662778 1.25267i
\(580\) 13.6439 13.6439i 0.566532 0.566532i
\(581\) 12.1221 + 4.04736i 0.502908 + 0.167913i
\(582\) 3.24164 + 9.95978i 0.134370 + 0.412846i
\(583\) 6.04729 + 1.62037i 0.250453 + 0.0671088i
\(584\) −3.03331 + 5.25386i −0.125519 + 0.217406i
\(585\) 40.1729 12.2694i 1.66095 0.507279i
\(586\) −12.7218 22.0349i −0.525534 0.910252i
\(587\) 15.0653 15.0653i 0.621813 0.621813i −0.324182 0.945995i \(-0.605089\pi\)
0.945995 + 0.324182i \(0.105089\pi\)
\(588\) −11.8975 + 2.33463i −0.490643 + 0.0962783i
\(589\) 0.847616i 0.0349254i
\(590\) 19.5147 + 5.22894i 0.803406 + 0.215272i
\(591\) 27.2910 17.7424i 1.12260 0.729824i
\(592\) 0.885179 + 3.30353i 0.0363806 + 0.135774i
\(593\) 0.0643968 0.240332i 0.00264446 0.00986926i −0.964591 0.263750i \(-0.915041\pi\)
0.967235 + 0.253881i \(0.0817072\pi\)
\(594\) −6.98715 5.06046i −0.286686 0.207633i
\(595\) 1.12222 + 0.374689i 0.0460063 + 0.0153608i
\(596\) −15.6958 15.6958i −0.642924 0.642924i
\(597\) 1.25347 + 1.12750i 0.0513013 + 0.0461454i
\(598\) 24.7714 + 8.56518i 1.01298 + 0.350256i
\(599\) −18.4405 10.6466i −0.753458 0.435009i 0.0734837 0.997296i \(-0.476588\pi\)
−0.826942 + 0.562287i \(0.809922\pi\)
\(600\) −0.922490 17.4353i −0.0376605 0.711794i
\(601\) 12.6355 0.515412 0.257706 0.966223i \(-0.417033\pi\)
0.257706 + 0.966223i \(0.417033\pi\)
\(602\) −29.5458 + 6.03087i −1.20420 + 0.245800i
\(603\) 29.0809 + 4.57615i 1.18427 + 0.186355i
\(604\) −5.02891 + 18.7681i −0.204623 + 0.763665i
\(605\) 30.9212 8.28530i 1.25712 0.336845i
\(606\) −14.1412 + 9.19344i −0.574445 + 0.373458i
\(607\) 0.452617 + 0.783955i 0.0183711 + 0.0318198i 0.875065 0.484006i \(-0.160819\pi\)
−0.856694 + 0.515825i \(0.827485\pi\)
\(608\) 1.53882 0.0624075
\(609\) −22.0379 + 5.72621i −0.893021 + 0.232038i
\(610\) 17.2473i 0.698323i
\(611\) 5.51939 + 6.36588i 0.223291 + 0.257536i
\(612\) −0.343527 + 0.0364536i −0.0138863 + 0.00147355i
\(613\) −12.6274 + 3.38351i −0.510017 + 0.136659i −0.504645 0.863327i \(-0.668377\pi\)
−0.00537192 + 0.999986i \(0.501710\pi\)
\(614\) 4.95380 2.86008i 0.199919 0.115423i
\(615\) 71.1368 23.1531i 2.86851 0.933622i
\(616\) 0.265364 4.38473i 0.0106918 0.176666i
\(617\) 6.56476 6.56476i 0.264287 0.264287i −0.562506 0.826793i \(-0.690163\pi\)
0.826793 + 0.562506i \(0.190163\pi\)
\(618\) 29.4722 1.55935i 1.18555 0.0627263i
\(619\) −0.885089 3.30320i −0.0355747 0.132767i 0.945855 0.324590i \(-0.105226\pi\)
−0.981429 + 0.191824i \(0.938560\pi\)
\(620\) 1.85245 + 1.06951i 0.0743963 + 0.0429527i
\(621\) −3.89201 + 37.5721i −0.156181 + 1.50772i
\(622\) 17.3486 17.3486i 0.695617 0.695617i
\(623\) 0.126834 0.0258893i 0.00508151 0.00103723i
\(624\) −6.00172 1.72609i −0.240261 0.0690987i
\(625\) 13.1060 + 22.7003i 0.524241 + 0.908012i
\(626\) 3.27706 + 12.2301i 0.130978 + 0.488815i
\(627\) −0.917894 + 4.32900i −0.0366572 + 0.172883i
\(628\) 4.42790 2.55645i 0.176692 0.102013i
\(629\) −0.278478 + 0.278478i −0.0111037 + 0.0111037i
\(630\) −14.1877 + 27.3637i −0.565250 + 1.09020i
\(631\) 19.4368 19.4368i 0.773766 0.773766i −0.204996 0.978763i \(-0.565718\pi\)
0.978763 + 0.204996i \(0.0657183\pi\)
\(632\) −3.94985 + 14.7410i −0.157117 + 0.586367i
\(633\) −17.6462 3.74160i −0.701375 0.148715i
\(634\) −21.3263 12.3127i −0.846975 0.489001i
\(635\) −1.69088 + 6.31046i −0.0671007 + 0.250423i
\(636\) 2.02135 + 6.21049i 0.0801516 + 0.246262i
\(637\) −8.21679 23.8639i −0.325561 0.945521i
\(638\) 8.24964i 0.326606i
\(639\) −29.5554 + 11.3792i −1.16919 + 0.450153i
\(640\) −1.94167 + 3.36308i −0.0767514 + 0.132937i
\(641\) −5.56004 + 9.63027i −0.219608 + 0.380373i −0.954688 0.297608i \(-0.903811\pi\)
0.735080 + 0.677981i \(0.237145\pi\)
\(642\) 5.17552 0.273833i 0.204261 0.0108073i
\(643\) −18.7436 18.7436i −0.739176 0.739176i 0.233242 0.972419i \(-0.425066\pi\)
−0.972419 + 0.233242i \(0.925066\pi\)
\(644\) −17.2069 + 8.59282i −0.678048 + 0.338604i
\(645\) −34.7695 + 68.3234i −1.36905 + 2.69023i
\(646\) 0.0885992 + 0.153458i 0.00348589 + 0.00603774i
\(647\) 14.7726 25.5869i 0.580771 1.00593i −0.414617 0.909996i \(-0.636084\pi\)
0.995388 0.0959291i \(-0.0305822\pi\)
\(648\) 0.453044 8.98859i 0.0177972 0.353105i
\(649\) 7.48048 4.31886i 0.293635 0.169530i
\(650\) 35.6864 6.88905i 1.39974 0.270211i
\(651\) −1.24547 2.19552i −0.0488138 0.0860491i
\(652\) −1.07543 1.07543i −0.0421172 0.0421172i
\(653\) −17.8677 + 10.3159i −0.699217 + 0.403693i −0.807056 0.590475i \(-0.798940\pi\)
0.107839 + 0.994168i \(0.465607\pi\)
\(654\) −14.6203 3.10001i −0.571700 0.121220i
\(655\) −63.3528 + 16.9753i −2.47540 + 0.663282i
\(656\) −10.7432 2.87864i −0.419453 0.112392i
\(657\) 2.82911 17.9787i 0.110374 0.701414i
\(658\) −6.17129 0.373486i −0.240582 0.0145600i
\(659\) 39.7576i 1.54874i −0.632734 0.774369i \(-0.718067\pi\)
0.632734 0.774369i \(-0.281933\pi\)
\(660\) −8.30277 7.46834i −0.323185 0.290705i
\(661\) −2.27602 8.49424i −0.0885271 0.330388i 0.907432 0.420200i \(-0.138040\pi\)
−0.995959 + 0.0898122i \(0.971373\pi\)
\(662\) 6.94053 12.0214i 0.269752 0.467223i
\(663\) −0.173422 0.697900i −0.00673515 0.0271042i
\(664\) −4.83035 −0.187454
\(665\) 15.7815 + 0.955098i 0.611982 + 0.0370371i
\(666\) −6.03910 8.29464i −0.234010 0.321411i
\(667\) −31.2809 + 18.0601i −1.21120 + 0.699288i
\(668\) −3.64294 13.5957i −0.140950 0.526032i
\(669\) 23.8371 + 36.6658i 0.921597 + 1.41758i
\(670\) 36.8085 + 9.86280i 1.42204 + 0.381033i
\(671\) 5.21420 + 5.21420i 0.201292 + 0.201292i
\(672\) 3.98589 2.26112i 0.153759 0.0872244i
\(673\) 50.3529i 1.94096i −0.241179 0.970481i \(-0.577534\pi\)
0.241179 0.970481i \(-0.422466\pi\)
\(674\) −8.21274 + 30.6504i −0.316343 + 1.18061i
\(675\) 21.3763 + 47.8187i 0.822774 + 1.84054i
\(676\) 1.84241 12.8688i 0.0708620 0.494953i
\(677\) 44.2683 25.5583i 1.70137 0.982287i 0.756994 0.653422i \(-0.226667\pi\)
0.944377 0.328865i \(-0.106666\pi\)
\(678\) −5.71900 + 11.2381i −0.219637 + 0.431595i
\(679\) 5.06695 15.1758i 0.194452 0.582394i
\(680\) −0.447175 −0.0171484
\(681\) 0.393813 + 7.44317i 0.0150909 + 0.285223i
\(682\) 0.883369 0.236698i 0.0338260 0.00906364i
\(683\) 5.20735 1.39531i 0.199254 0.0533899i −0.157812 0.987469i \(-0.550444\pi\)
0.357066 + 0.934079i \(0.383777\pi\)
\(684\) −4.30819 + 1.65870i −0.164728 + 0.0634221i
\(685\) −26.3247 −1.00581
\(686\) 16.7314 + 7.94105i 0.638808 + 0.303191i
\(687\) 10.3618 + 5.27307i 0.395327 + 0.201180i
\(688\) 9.87056 5.69877i 0.376312 0.217264i
\(689\) −12.2274 + 5.94421i −0.465827 + 0.226456i
\(690\) −10.1420 + 47.8320i −0.386100 + 1.82093i
\(691\) −6.91208 + 25.7962i −0.262948 + 0.981335i 0.700547 + 0.713607i \(0.252940\pi\)
−0.963495 + 0.267728i \(0.913727\pi\)
\(692\) 19.8336i 0.753961i
\(693\) 3.98339 + 12.5618i 0.151317 + 0.477184i
\(694\) 14.1838 + 14.1838i 0.538410 + 0.538410i
\(695\) −61.6645 16.5230i −2.33907 0.626752i
\(696\) 7.21537 4.69085i 0.273498 0.177806i
\(697\) −0.331482 1.23711i −0.0125558 0.0468588i
\(698\) −9.64693 + 5.56965i −0.365142 + 0.210815i
\(699\) 13.5606 + 41.6645i 0.512911 + 1.57589i
\(700\) −14.7060 + 22.2493i −0.555835 + 0.840944i
\(701\) −50.8532 −1.92070 −0.960350 0.278798i \(-0.910064\pi\)
−0.960350 + 0.278798i \(0.910064\pi\)
\(702\) 18.6634 1.63682i 0.704403 0.0617778i
\(703\) −2.63144 + 4.55779i −0.0992466 + 0.171900i
\(704\) 0.429718 + 1.60373i 0.0161956 + 0.0604429i
\(705\) −10.5113 + 11.6858i −0.395879 + 0.440111i
\(706\) 6.72393i 0.253058i
\(707\) 25.7175 + 1.55642i 0.967207 + 0.0585353i
\(708\) 8.03088 + 4.08688i 0.301819 + 0.153594i
\(709\) −41.6608 11.1630i −1.56460 0.419234i −0.630486 0.776201i \(-0.717144\pi\)
−0.934117 + 0.356967i \(0.883811\pi\)
\(710\) −39.5986 + 10.6104i −1.48611 + 0.398202i
\(711\) −4.83118 45.5275i −0.181183 1.70742i
\(712\) −0.0423724 + 0.0244637i −0.00158797 + 0.000916816i
\(713\) −2.83138 2.83138i −0.106036 0.106036i
\(714\) 0.454981 + 0.267306i 0.0170272 + 0.0100037i
\(715\) 13.0243 19.2558i 0.487082 0.720126i
\(716\) 0.584747 0.337604i 0.0218530 0.0126168i
\(717\) 38.2491 24.8665i 1.42844 0.928655i
\(718\) 5.89581 10.2118i 0.220030 0.381103i
\(719\) −15.9927 27.7001i −0.596426 1.03304i −0.993344 0.115186i \(-0.963254\pi\)
0.396918 0.917854i \(-0.370080\pi\)
\(720\) 1.81096 11.5084i 0.0674904 0.428894i
\(721\) −37.6096 24.8586i −1.40065 0.925783i
\(722\) −11.7606 11.7606i −0.437685 0.437685i
\(723\) 1.19266 + 22.5416i 0.0443554 + 0.838330i
\(724\) −0.00341052 + 0.00590720i −0.000126751 + 0.000219539i
\(725\) −25.0434 + 43.3765i −0.930090 + 1.61096i
\(726\) 14.2580 0.754382i 0.529165 0.0279977i
\(727\) 3.98635i 0.147846i −0.997264 0.0739228i \(-0.976448\pi\)
0.997264 0.0739228i \(-0.0235518\pi\)
\(728\) 5.80231 + 7.57187i 0.215048 + 0.280632i
\(729\) 8.42047 + 25.6534i 0.311869 + 0.950125i
\(730\) 6.09747 22.7561i 0.225678 0.842240i
\(731\) 1.13662 + 0.656225i 0.0420392 + 0.0242714i
\(732\) −1.59563 + 7.52535i −0.0589761 + 0.278145i
\(733\) 2.57883 9.62431i 0.0952511 0.355482i −0.901806 0.432140i \(-0.857758\pi\)
0.997057 + 0.0766585i \(0.0244251\pi\)
\(734\) −13.4780 + 13.4780i −0.497483 + 0.497483i
\(735\) 42.2812 20.7152i 1.55956 0.764091i
\(736\) 5.14028 5.14028i 0.189473 0.189473i
\(737\) 14.1097 8.14621i 0.519736 0.300070i
\(738\) 33.1804 3.52096i 1.22139 0.129608i
\(739\) −5.09752 19.0242i −0.187515 0.699817i −0.994078 0.108668i \(-0.965341\pi\)
0.806563 0.591149i \(-0.201325\pi\)
\(740\) −6.64065 11.5019i −0.244115 0.422820i
\(741\) −4.65237 8.40871i −0.170909 0.308902i
\(742\) 3.15953 9.46299i 0.115990 0.347397i
\(743\) −18.6277 + 18.6277i −0.683384 + 0.683384i −0.960761 0.277377i \(-0.910535\pi\)
0.277377 + 0.960761i \(0.410535\pi\)
\(744\) 0.709317 + 0.638030i 0.0260048 + 0.0233913i
\(745\) 74.6508 + 43.0997i 2.73499 + 1.57905i
\(746\) −3.44521 12.8577i −0.126138 0.470753i
\(747\) 13.5234 5.20665i 0.494794 0.190502i
\(748\) −0.135190 + 0.135190i −0.00494303 + 0.00494303i
\(749\) −6.60449 4.36534i −0.241323 0.159506i
\(750\) 10.5758 + 32.4936i 0.386173 + 1.18650i
\(751\) −5.48150 + 3.16474i −0.200023 + 0.115483i −0.596666 0.802490i \(-0.703508\pi\)
0.396643 + 0.917973i \(0.370175\pi\)
\(752\) 2.25717 0.604808i 0.0823106 0.0220551i
\(753\) −0.588469 0.124775i −0.0214450 0.00454707i
\(754\) 11.7359 + 13.5358i 0.427397 + 0.492946i
\(755\) 75.4542i 2.74606i
\(756\) −8.72190 + 10.6268i −0.317213 + 0.386492i
\(757\) 18.4902 0.672036 0.336018 0.941855i \(-0.390920\pi\)
0.336018 + 0.941855i \(0.390920\pi\)
\(758\) −16.6327 28.8087i −0.604126 1.04638i
\(759\) 11.3944 + 17.5267i 0.413592 + 0.636179i
\(760\) −5.77216 + 1.54665i −0.209378 + 0.0561027i
\(761\) 3.15296 11.7670i 0.114295 0.426554i −0.884938 0.465708i \(-0.845800\pi\)
0.999233 + 0.0391543i \(0.0124664\pi\)
\(762\) −1.32158 + 2.59695i −0.0478757 + 0.0940775i
\(763\) 15.1382 + 17.0885i 0.548039 + 0.618647i
\(764\) 3.10615 0.112376
\(765\) 1.25194 0.482012i 0.0452640 0.0174272i
\(766\) −7.10463 4.10186i −0.256701 0.148206i
\(767\) −6.12980 + 17.7280i −0.221334 + 0.640121i
\(768\) −1.15832 + 1.28774i −0.0417974 + 0.0464675i
\(769\) −24.4015 24.4015i −0.879941 0.879941i 0.113587 0.993528i \(-0.463766\pi\)
−0.993528 + 0.113587i \(0.963766\pi\)
\(770\) 3.41164 + 16.7139i 0.122947 + 0.602328i
\(771\) 2.66781 + 8.19673i 0.0960789 + 0.295198i
\(772\) 4.51043 16.8332i 0.162334 0.605839i
\(773\) −11.9614 44.6405i −0.430221 1.60561i −0.752250 0.658878i \(-0.771032\pi\)
0.322029 0.946730i \(-0.395635\pi\)