Properties

Label 552.2.bb.a.13.6
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 13.6
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.32689 - 0.489239i) q^{2} +(0.540641 - 0.841254i) q^{3} +(1.52129 + 1.29834i) q^{4} +(3.08337 + 1.40813i) q^{5} +(-1.12895 + 0.851751i) q^{6} +(2.20998 + 0.648908i) q^{7} +(-1.38339 - 2.46703i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-1.32689 - 0.489239i) q^{2} +(0.540641 - 0.841254i) q^{3} +(1.52129 + 1.29834i) q^{4} +(3.08337 + 1.40813i) q^{5} +(-1.12895 + 0.851751i) q^{6} +(2.20998 + 0.648908i) q^{7} +(-1.38339 - 2.46703i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(-3.40240 - 3.37694i) q^{10} +(3.12309 + 2.70618i) q^{11} +(1.91470 - 0.577858i) q^{12} +(-1.13414 - 3.86251i) q^{13} +(-2.61493 - 1.94224i) q^{14} +(2.85159 - 1.83261i) q^{15} +(0.628650 + 3.95029i) q^{16} +(0.524478 + 3.64782i) q^{17} +(0.106184 + 1.41022i) q^{18} +(-2.78512 - 0.400440i) q^{19} +(2.86248 + 6.14543i) q^{20} +(1.74070 - 1.50833i) q^{21} +(-2.82005 - 5.11875i) q^{22} +(-0.614601 + 4.75629i) q^{23} +(-2.82331 - 0.169991i) q^{24} +(4.25006 + 4.90483i) q^{25} +(-0.384814 + 5.68001i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(2.51952 + 3.85647i) q^{28} +(-9.62875 + 1.38441i) q^{29} +(-4.68034 + 1.03656i) q^{30} +(6.32239 - 4.06316i) q^{31} +(1.09849 - 5.54917i) q^{32} +(3.96505 - 1.16424i) q^{33} +(1.08873 - 5.09686i) q^{34} +(5.90044 + 5.11276i) q^{35} +(0.549041 - 1.92316i) q^{36} +(-9.92314 + 4.53175i) q^{37} +(3.49965 + 1.89393i) q^{38} +(-3.86251 - 1.13414i) q^{39} +(-0.791626 - 9.55476i) q^{40} +(-1.35302 + 2.96271i) q^{41} +(-3.04766 + 1.14977i) q^{42} +(6.12718 - 9.53408i) q^{43} +(1.23761 + 8.17170i) q^{44} -3.38969i q^{45} +(3.14247 - 6.01040i) q^{46} +6.59116 q^{47} +(3.66307 + 1.60683i) q^{48} +(-1.42585 - 0.916338i) q^{49} +(-3.23974 - 8.58748i) q^{50} +(3.35230 + 1.53094i) q^{51} +(3.28949 - 7.34850i) q^{52} +(3.25375 - 11.0812i) q^{53} +(1.24376 + 0.673096i) q^{54} +(5.81902 + 12.7419i) q^{55} +(-1.45640 - 6.34977i) q^{56} +(-1.84262 + 2.12650i) q^{57} +(13.4536 + 2.87380i) q^{58} +(-0.133340 - 0.454115i) q^{59} +(6.71744 + 0.914395i) q^{60} +(-2.22135 - 3.45649i) q^{61} +(-10.3770 + 2.29821i) q^{62} +(-0.327791 - 2.27983i) q^{63} +(-4.17244 + 6.82574i) q^{64} +(1.94195 - 13.5066i) q^{65} +(-5.83079 - 0.395030i) q^{66} +(8.45513 - 7.32641i) q^{67} +(-3.93821 + 6.23035i) q^{68} +(3.66896 + 3.08848i) q^{69} +(-5.32789 - 9.67082i) q^{70} +(-1.89549 - 2.18752i) q^{71} +(-1.66940 + 2.28322i) q^{72} +(0.273090 - 1.89938i) q^{73} +(15.3841 - 1.15836i) q^{74} +(6.42396 - 0.923626i) q^{75} +(-3.71708 - 4.22521i) q^{76} +(5.14591 + 8.00719i) q^{77} +(4.57028 + 3.39457i) q^{78} +(-7.47455 + 2.19473i) q^{79} +(-3.62416 + 13.0654i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(3.24479 - 3.26925i) q^{82} +(1.19986 - 0.547959i) q^{83} +(4.60643 - 0.0345882i) q^{84} +(-3.51945 + 11.9861i) q^{85} +(-12.7946 + 9.65305i) q^{86} +(-4.04106 + 8.84868i) q^{87} +(2.35574 - 11.4485i) q^{88} +(4.22377 + 2.71445i) q^{89} +(-1.65837 + 4.49776i) q^{90} -9.27203i q^{91} +(-7.11024 + 6.43774i) q^{92} -7.51544i q^{93} +(-8.74576 - 3.22465i) q^{94} +(-8.02371 - 5.15652i) q^{95} +(-4.07438 - 3.92421i) q^{96} +(6.55687 - 14.3575i) q^{97} +(1.44364 + 1.91346i) q^{98} +(1.16424 - 3.96505i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\) \(1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.32689 0.489239i −0.938255 0.345944i
\(3\) 0.540641 0.841254i 0.312139 0.485698i
\(4\) 1.52129 + 1.29834i 0.760645 + 0.649168i
\(5\) 3.08337 + 1.40813i 1.37893 + 0.629735i 0.960440 0.278488i \(-0.0898333\pi\)
0.418487 + 0.908223i \(0.362561\pi\)
\(6\) −1.12895 + 0.851751i −0.460890 + 0.347726i
\(7\) 2.20998 + 0.648908i 0.835293 + 0.245264i 0.671289 0.741195i \(-0.265741\pi\)
0.164004 + 0.986460i \(0.447559\pi\)
\(8\) −1.38339 2.46703i −0.489104 0.872226i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) −3.40240 3.37694i −1.07593 1.06788i
\(11\) 3.12309 + 2.70618i 0.941648 + 0.815943i 0.983076 0.183199i \(-0.0586451\pi\)
−0.0414276 + 0.999142i \(0.513191\pi\)
\(12\) 1.91470 0.577858i 0.552727 0.166813i
\(13\) −1.13414 3.86251i −0.314553 1.07127i −0.953343 0.301888i \(-0.902383\pi\)
0.638791 0.769381i \(-0.279435\pi\)
\(14\) −2.61493 1.94224i −0.698871 0.519085i
\(15\) 2.85159 1.83261i 0.736278 0.473177i
\(16\) 0.628650 + 3.95029i 0.157162 + 0.987573i
\(17\) 0.524478 + 3.64782i 0.127205 + 0.884727i 0.949075 + 0.315052i \(0.102022\pi\)
−0.821870 + 0.569675i \(0.807069\pi\)
\(18\) 0.106184 + 1.41022i 0.0250278 + 0.332392i
\(19\) −2.78512 0.400440i −0.638951 0.0918673i −0.184777 0.982780i \(-0.559156\pi\)
−0.454174 + 0.890913i \(0.650066\pi\)
\(20\) 2.86248 + 6.14543i 0.640071 + 1.37416i
\(21\) 1.74070 1.50833i 0.379852 0.329144i
\(22\) −2.82005 5.11875i −0.601236 1.09132i
\(23\) −0.614601 + 4.75629i −0.128153 + 0.991754i
\(24\) −2.82331 0.169991i −0.576307 0.0346992i
\(25\) 4.25006 + 4.90483i 0.850012 + 0.980966i
\(26\) −0.384814 + 5.68001i −0.0754683 + 1.11394i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) 2.51952 + 3.85647i 0.476144 + 0.728805i
\(29\) −9.62875 + 1.38441i −1.78801 + 0.257078i −0.955091 0.296312i \(-0.904243\pi\)
−0.832923 + 0.553390i \(0.813334\pi\)
\(30\) −4.68034 + 1.03656i −0.854509 + 0.189250i
\(31\) 6.32239 4.06316i 1.13554 0.729764i 0.168827 0.985646i \(-0.446002\pi\)
0.966708 + 0.255881i \(0.0823657\pi\)
\(32\) 1.09849 5.54917i 0.194187 0.980965i
\(33\) 3.96505 1.16424i 0.690227 0.202669i
\(34\) 1.08873 5.09686i 0.186716 0.874105i
\(35\) 5.90044 + 5.11276i 0.997357 + 0.864215i
\(36\) 0.549041 1.92316i 0.0915068 0.320527i
\(37\) −9.92314 + 4.53175i −1.63135 + 0.745014i −0.999547 0.0301111i \(-0.990414\pi\)
−0.631807 + 0.775125i \(0.717687\pi\)
\(38\) 3.49965 + 1.89393i 0.567718 + 0.307236i
\(39\) −3.86251 1.13414i −0.618497 0.181607i
\(40\) −0.791626 9.55476i −0.125167 1.51074i
\(41\) −1.35302 + 2.96271i −0.211307 + 0.462698i −0.985374 0.170406i \(-0.945492\pi\)
0.774067 + 0.633104i \(0.218219\pi\)
\(42\) −3.04766 + 1.14977i −0.470264 + 0.177413i
\(43\) 6.12718 9.53408i 0.934387 1.45393i 0.0438417 0.999038i \(-0.486040\pi\)
0.890545 0.454895i \(-0.150323\pi\)
\(44\) 1.23761 + 8.17170i 0.186577 + 1.23193i
\(45\) 3.38969i 0.505306i
\(46\) 3.14247 6.01040i 0.463332 0.886185i
\(47\) 6.59116 0.961419 0.480710 0.876880i \(-0.340379\pi\)
0.480710 + 0.876880i \(0.340379\pi\)
\(48\) 3.66307 + 1.60683i 0.528719 + 0.231927i
\(49\) −1.42585 0.916338i −0.203693 0.130905i
\(50\) −3.23974 8.58748i −0.458169 1.21445i
\(51\) 3.35230 + 1.53094i 0.469415 + 0.214375i
\(52\) 3.28949 7.34850i 0.456170 1.01905i
\(53\) 3.25375 11.0812i 0.446936 1.52213i −0.360835 0.932630i \(-0.617508\pi\)
0.807771 0.589496i \(-0.200674\pi\)
\(54\) 1.24376 + 0.673096i 0.169254 + 0.0915967i
\(55\) 5.81902 + 12.7419i 0.784636 + 1.71811i
\(56\) −1.45640 6.34977i −0.194619 0.848524i
\(57\) −1.84262 + 2.12650i −0.244061 + 0.281662i
\(58\) 13.4536 + 2.87380i 1.76655 + 0.377349i
\(59\) −0.133340 0.454115i −0.0173594 0.0591207i 0.950358 0.311159i \(-0.100717\pi\)
−0.967717 + 0.252038i \(0.918899\pi\)
\(60\) 6.71744 + 0.914395i 0.867217 + 0.118048i
\(61\) −2.22135 3.45649i −0.284415 0.442558i 0.669422 0.742882i \(-0.266542\pi\)
−0.953837 + 0.300324i \(0.902905\pi\)
\(62\) −10.3770 + 2.29821i −1.31788 + 0.291873i
\(63\) −0.327791 2.27983i −0.0412977 0.287232i
\(64\) −4.17244 + 6.82574i −0.521556 + 0.853217i
\(65\) 1.94195 13.5066i 0.240870 1.67529i
\(66\) −5.83079 0.395030i −0.717721 0.0486248i
\(67\) 8.45513 7.32641i 1.03296 0.895064i 0.0384024 0.999262i \(-0.487773\pi\)
0.994557 + 0.104198i \(0.0332277\pi\)
\(68\) −3.93821 + 6.23035i −0.477579 + 0.755540i
\(69\) 3.66896 + 3.08848i 0.441691 + 0.371809i
\(70\) −5.32789 9.67082i −0.636805 1.15588i
\(71\) −1.89549 2.18752i −0.224954 0.259610i 0.632042 0.774934i \(-0.282217\pi\)
−0.856996 + 0.515324i \(0.827672\pi\)
\(72\) −1.66940 + 2.28322i −0.196741 + 0.269080i
\(73\) 0.273090 1.89938i 0.0319627 0.222306i −0.967579 0.252568i \(-0.918725\pi\)
0.999542 + 0.0302618i \(0.00963411\pi\)
\(74\) 15.3841 1.15836i 1.78836 0.134656i
\(75\) 6.42396 0.923626i 0.741775 0.106651i
\(76\) −3.71708 4.22521i −0.426378 0.484665i
\(77\) 5.14591 + 8.00719i 0.586431 + 0.912504i
\(78\) 4.57028 + 3.39457i 0.517482 + 0.384359i
\(79\) −7.47455 + 2.19473i −0.840953 + 0.246926i −0.673716 0.738991i \(-0.735303\pi\)
−0.167237 + 0.985917i \(0.553485\pi\)
\(80\) −3.62416 + 13.0654i −0.405193 + 1.46076i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) 3.24479 3.26925i 0.358327 0.361028i
\(83\) 1.19986 0.547959i 0.131702 0.0601463i −0.348474 0.937318i \(-0.613300\pi\)
0.480176 + 0.877172i \(0.340573\pi\)
\(84\) 4.60643 0.0345882i 0.502602 0.00377388i
\(85\) −3.51945 + 11.9861i −0.381737 + 1.30008i
\(86\) −12.7946 + 9.65305i −1.37967 + 1.04092i
\(87\) −4.04106 + 8.84868i −0.433247 + 0.948679i
\(88\) 2.35574 11.4485i 0.251123 1.22041i
\(89\) 4.22377 + 2.71445i 0.447718 + 0.287731i 0.745007 0.667057i \(-0.232446\pi\)
−0.297289 + 0.954788i \(0.596082\pi\)
\(90\) −1.65837 + 4.49776i −0.174808 + 0.474106i
\(91\) 9.27203i 0.971972i
\(92\) −7.11024 + 6.43774i −0.741294 + 0.671180i
\(93\) 7.51544i 0.779315i
\(94\) −8.74576 3.22465i −0.902056 0.332597i
\(95\) −8.02371 5.15652i −0.823215 0.529048i
\(96\) −4.07438 3.92421i −0.415839 0.400513i
\(97\) 6.55687 14.3575i 0.665749 1.45779i −0.211318 0.977417i \(-0.567775\pi\)
0.877066 0.480369i \(-0.159497\pi\)
\(98\) 1.44364 + 1.91346i 0.145830 + 0.193289i
\(99\) 1.16424 3.96505i 0.117011 0.398503i
\(100\) 0.0974602 + 12.9797i 0.00974602 + 1.29797i
\(101\) −11.3818 + 5.19791i −1.13254 + 0.517212i −0.891372 0.453273i \(-0.850256\pi\)
−0.241164 + 0.970484i \(0.577529\pi\)
\(102\) −3.69914 3.67147i −0.366270 0.363530i
\(103\) −10.5800 + 12.2100i −1.04248 + 1.20309i −0.0637455 + 0.997966i \(0.520305\pi\)
−0.978736 + 0.205122i \(0.934241\pi\)
\(104\) −7.95997 + 8.14132i −0.780539 + 0.798322i
\(105\) 7.49115 2.19960i 0.731061 0.214659i
\(106\) −9.73875 + 13.1118i −0.945911 + 1.27353i
\(107\) −0.606504 0.943738i −0.0586329 0.0912346i 0.810699 0.585463i \(-0.199087\pi\)
−0.869332 + 0.494228i \(0.835451\pi\)
\(108\) −1.32103 1.50162i −0.127117 0.144494i
\(109\) 9.80170 1.40927i 0.938832 0.134984i 0.344123 0.938925i \(-0.388176\pi\)
0.594709 + 0.803941i \(0.297267\pi\)
\(110\) −1.48740 19.7540i −0.141818 1.88347i
\(111\) −1.55251 + 10.7979i −0.147357 + 1.02489i
\(112\) −1.17407 + 9.13800i −0.110940 + 0.863459i
\(113\) 2.91405 + 3.36300i 0.274131 + 0.316364i 0.876076 0.482174i \(-0.160153\pi\)
−0.601945 + 0.798538i \(0.705607\pi\)
\(114\) 3.48533 1.92016i 0.326431 0.179839i
\(115\) −8.59251 + 13.8000i −0.801256 + 1.28685i
\(116\) −16.4455 10.3953i −1.52693 0.965176i
\(117\) −3.04233 + 2.63619i −0.281263 + 0.243716i
\(118\) −0.0452425 + 0.667797i −0.00416491 + 0.0614757i
\(119\) −1.20802 + 8.40195i −0.110739 + 0.770205i
\(120\) −8.46596 4.49974i −0.772833 0.410768i
\(121\) 0.864863 + 6.01525i 0.0786239 + 0.546841i
\(122\) 1.25645 + 5.67317i 0.113753 + 0.513624i
\(123\) 1.76089 + 2.74000i 0.158774 + 0.247057i
\(124\) 14.8935 + 2.02735i 1.33748 + 0.182061i
\(125\) 1.42295 + 4.84613i 0.127273 + 0.433451i
\(126\) −0.680440 + 3.18546i −0.0606184 + 0.283784i
\(127\) 0.877841 1.01308i 0.0778958 0.0898966i −0.715464 0.698650i \(-0.753785\pi\)
0.793360 + 0.608753i \(0.208330\pi\)
\(128\) 8.87580 7.01570i 0.784518 0.620106i
\(129\) −4.70798 10.3090i −0.414514 0.907659i
\(130\) −9.18471 + 16.9717i −0.805553 + 1.48852i
\(131\) −2.48419 + 8.46037i −0.217045 + 0.739186i 0.776931 + 0.629586i \(0.216775\pi\)
−0.993976 + 0.109601i \(0.965043\pi\)
\(132\) 7.54358 + 3.37681i 0.656584 + 0.293914i
\(133\) −5.89522 2.69225i −0.511180 0.233448i
\(134\) −14.8034 + 5.58479i −1.27882 + 0.482452i
\(135\) −2.85159 1.83261i −0.245426 0.157726i
\(136\) 8.27372 6.34027i 0.709465 0.543674i
\(137\) 1.91033 0.163210 0.0816051 0.996665i \(-0.473995\pi\)
0.0816051 + 0.996665i \(0.473995\pi\)
\(138\) −3.35732 5.89308i −0.285794 0.501652i
\(139\) 0.185985i 0.0157750i −0.999969 0.00788752i \(-0.997489\pi\)
0.999969 0.00788752i \(-0.00251070\pi\)
\(140\) 2.33821 + 15.4388i 0.197615 + 1.30481i
\(141\) 3.56345 5.54483i 0.300097 0.466959i
\(142\) 1.44490 + 3.82995i 0.121253 + 0.321402i
\(143\) 6.91063 15.1322i 0.577896 1.26542i
\(144\) 3.33216 2.21285i 0.277680 0.184404i
\(145\) −31.6385 9.28989i −2.62743 0.771483i
\(146\) −1.29161 + 2.38667i −0.106895 + 0.197522i
\(147\) −1.54175 + 0.704092i −0.127161 + 0.0580725i
\(148\) −20.9797 5.98946i −1.72452 0.492331i
\(149\) −16.9002 14.6441i −1.38451 1.19969i −0.954991 0.296633i \(-0.904136\pi\)
−0.429523 0.903056i \(-0.641318\pi\)
\(150\) −8.97579 1.91730i −0.732870 0.156547i
\(151\) −6.61796 + 1.94321i −0.538562 + 0.158136i −0.539691 0.841863i \(-0.681459\pi\)
0.00112866 + 0.999999i \(0.499641\pi\)
\(152\) 2.86503 + 7.42494i 0.232384 + 0.602242i
\(153\) 3.10030 1.99244i 0.250644 0.161079i
\(154\) −2.91064 13.1423i −0.234546 1.05903i
\(155\) 25.2158 3.62548i 2.02538 0.291205i
\(156\) −4.40352 6.74019i −0.352564 0.539647i
\(157\) −1.01696 0.146217i −0.0811626 0.0116694i 0.101614 0.994824i \(-0.467599\pi\)
−0.182776 + 0.983154i \(0.558508\pi\)
\(158\) 10.9917 + 0.744674i 0.874451 + 0.0592431i
\(159\) −7.56302 8.72820i −0.599787 0.692191i
\(160\) 11.2010 15.5634i 0.885516 1.23039i
\(161\) −4.44465 + 10.1125i −0.350287 + 0.796975i
\(162\) 1.23867 0.682416i 0.0973193 0.0536156i
\(163\) −6.25764 + 5.42227i −0.490136 + 0.424705i −0.864543 0.502559i \(-0.832392\pi\)
0.374407 + 0.927265i \(0.377846\pi\)
\(164\) −5.90493 + 2.75046i −0.461098 + 0.214775i
\(165\) 13.8651 + 1.99351i 1.07940 + 0.155194i
\(166\) −1.86017 + 0.140063i −0.144377 + 0.0108710i
\(167\) −1.08273 7.53058i −0.0837845 0.582734i −0.987858 0.155357i \(-0.950347\pi\)
0.904074 0.427376i \(-0.140562\pi\)
\(168\) −6.12916 2.20775i −0.472875 0.170331i
\(169\) −2.69646 + 1.73291i −0.207420 + 0.133301i
\(170\) 10.5340 14.1825i 0.807922 1.08775i
\(171\) 0.792729 + 2.69979i 0.0606215 + 0.206458i
\(172\) 21.6997 6.54897i 1.65458 0.499354i
\(173\) −5.04045 4.36758i −0.383218 0.332061i 0.441855 0.897087i \(-0.354321\pi\)
−0.825073 + 0.565026i \(0.808866\pi\)
\(174\) 9.69117 9.76422i 0.734686 0.740223i
\(175\) 6.20976 + 13.5975i 0.469414 + 1.02787i
\(176\) −8.72685 + 14.0384i −0.657811 + 1.05818i
\(177\) −0.454115 0.133340i −0.0341333 0.0100225i
\(178\) −4.27647 5.66821i −0.320535 0.424851i
\(179\) 9.71235 + 4.43548i 0.725935 + 0.331524i 0.743878 0.668315i \(-0.232984\pi\)
−0.0179426 + 0.999839i \(0.505712\pi\)
\(180\) 4.40096 5.15671i 0.328028 0.384358i
\(181\) −5.71978 + 8.90015i −0.425148 + 0.661543i −0.986071 0.166325i \(-0.946810\pi\)
0.560923 + 0.827868i \(0.310446\pi\)
\(182\) −4.53624 + 12.3030i −0.336248 + 0.911958i
\(183\) −4.10874 −0.303727
\(184\) 12.5841 5.06358i 0.927714 0.373292i
\(185\) −36.9780 −2.71868
\(186\) −3.67685 + 9.97219i −0.269600 + 0.731196i
\(187\) −8.23366 + 12.8118i −0.602105 + 0.936893i
\(188\) 10.0271 + 8.55753i 0.731299 + 0.624122i
\(189\) −2.09514 0.956816i −0.152399 0.0695981i
\(190\) 8.12383 + 10.7677i 0.589364 + 0.781168i
\(191\) 11.5591 + 3.39406i 0.836387 + 0.245585i 0.671758 0.740770i \(-0.265539\pi\)
0.164628 + 0.986356i \(0.447358\pi\)
\(192\) 3.48638 + 7.20036i 0.251608 + 0.519641i
\(193\) 11.3722 + 24.9016i 0.818587 + 1.79246i 0.564878 + 0.825174i \(0.308923\pi\)
0.253709 + 0.967281i \(0.418350\pi\)
\(194\) −15.7245 + 15.8430i −1.12895 + 1.13746i
\(195\) −10.3126 8.93589i −0.738498 0.639912i
\(196\) −0.979418 3.24525i −0.0699584 0.231803i
\(197\) −1.62456 5.53275i −0.115745 0.394192i 0.881159 0.472820i \(-0.156764\pi\)
−0.996904 + 0.0786286i \(0.974946\pi\)
\(198\) −3.48469 + 4.69161i −0.247646 + 0.333418i
\(199\) −7.02634 + 4.51556i −0.498084 + 0.320099i −0.765450 0.643496i \(-0.777483\pi\)
0.267365 + 0.963595i \(0.413847\pi\)
\(200\) 6.22084 17.2703i 0.439880 1.22120i
\(201\) −1.59218 11.0739i −0.112304 0.781091i
\(202\) 17.6455 1.32863i 1.24153 0.0934824i
\(203\) −22.1777 3.18867i −1.55657 0.223801i
\(204\) 3.11214 + 6.68142i 0.217893 + 0.467793i
\(205\) −8.34376 + 7.22991i −0.582753 + 0.504959i
\(206\) 20.0122 11.0252i 1.39432 0.768163i
\(207\) 4.58179 1.41677i 0.318456 0.0984725i
\(208\) 14.5451 6.90834i 1.00852 0.479007i
\(209\) −7.61454 8.78765i −0.526709 0.607854i
\(210\) −11.0161 0.746328i −0.760182 0.0515015i
\(211\) −13.6164 1.95774i −0.937390 0.134776i −0.343346 0.939209i \(-0.611560\pi\)
−0.594044 + 0.804433i \(0.702469\pi\)
\(212\) 19.3371 12.6333i 1.32807 0.867661i
\(213\) −2.86504 + 0.411930i −0.196309 + 0.0282250i
\(214\) 0.343052 + 1.54896i 0.0234506 + 0.105885i
\(215\) 32.3176 20.7693i 2.20404 1.41645i
\(216\) 1.01822 + 2.63879i 0.0692810 + 0.179547i
\(217\) 16.6090 4.87683i 1.12749 0.331061i
\(218\) −13.6953 2.92542i −0.927561 0.198134i
\(219\) −1.45022 1.25662i −0.0979966 0.0849145i
\(220\) −7.69081 + 26.9391i −0.518514 + 1.81624i
\(221\) 13.4949 6.16293i 0.907768 0.414564i
\(222\) 7.34277 13.5681i 0.492815 0.910634i
\(223\) 0.482676 + 0.141726i 0.0323224 + 0.00949070i 0.297854 0.954612i \(-0.403729\pi\)
−0.265531 + 0.964102i \(0.585547\pi\)
\(224\) 6.02853 11.5507i 0.402798 0.771766i
\(225\) 2.69605 5.90353i 0.179737 0.393569i
\(226\) −2.22133 5.88801i −0.147761 0.391664i
\(227\) −0.317903 + 0.494667i −0.0211000 + 0.0328322i −0.851643 0.524122i \(-0.824394\pi\)
0.830543 + 0.556954i \(0.188030\pi\)
\(228\) −5.56408 + 0.842682i −0.368490 + 0.0558080i
\(229\) 7.72365i 0.510393i 0.966889 + 0.255197i \(0.0821402\pi\)
−0.966889 + 0.255197i \(0.917860\pi\)
\(230\) 18.1528 14.1073i 1.19696 0.930207i
\(231\) 9.51817 0.626250
\(232\) 16.7357 + 21.8392i 1.09875 + 1.43381i
\(233\) 2.18243 + 1.40256i 0.142976 + 0.0918848i 0.610173 0.792268i \(-0.291100\pi\)
−0.467197 + 0.884153i \(0.654736\pi\)
\(234\) 5.32657 2.00952i 0.348209 0.131366i
\(235\) 20.3230 + 9.28120i 1.32573 + 0.605439i
\(236\) 0.386744 0.863960i 0.0251749 0.0562390i
\(237\) −2.19473 + 7.47455i −0.142563 + 0.485524i
\(238\) 5.71347 10.5575i 0.370349 0.684340i
\(239\) −9.67636 21.1883i −0.625912 1.37056i −0.911141 0.412096i \(-0.864797\pi\)
0.285229 0.958459i \(-0.407930\pi\)
\(240\) 9.03198 + 10.1125i 0.583012 + 0.652762i
\(241\) −5.82575 + 6.72328i −0.375270 + 0.433084i −0.911698 0.410862i \(-0.865228\pi\)
0.536428 + 0.843946i \(0.319773\pi\)
\(242\) 1.79531 8.40472i 0.115407 0.540276i
\(243\) 0.281733 + 0.959493i 0.0180732 + 0.0615515i
\(244\) 1.10836 8.14239i 0.0709557 0.521263i
\(245\) −3.10611 4.83320i −0.198442 0.308782i
\(246\) −0.995999 4.49718i −0.0635026 0.286730i
\(247\) 1.61200 + 11.2117i 0.102569 + 0.713386i
\(248\) −18.7703 9.97657i −1.19191 0.633513i
\(249\) 0.187722 1.30564i 0.0118964 0.0827414i
\(250\) 0.482810 7.12646i 0.0305356 0.450717i
\(251\) 16.3103 14.1330i 1.02950 0.892064i 0.0352717 0.999378i \(-0.488770\pi\)
0.994225 + 0.107314i \(0.0342249\pi\)
\(252\) 2.46132 3.89387i 0.155049 0.245291i
\(253\) −14.7908 + 13.1911i −0.929890 + 0.829318i
\(254\) −1.66044 + 0.914779i −0.104185 + 0.0573983i
\(255\) 8.18062 + 9.44094i 0.512290 + 0.591214i
\(256\) −15.2096 + 4.96670i −0.950600 + 0.310419i
\(257\) −2.42362 + 16.8567i −0.151181 + 1.05149i 0.763062 + 0.646325i \(0.223695\pi\)
−0.914244 + 0.405165i \(0.867214\pi\)
\(258\) 1.20340 + 15.9823i 0.0749205 + 0.995015i
\(259\) −24.8706 + 3.57585i −1.54538 + 0.222193i
\(260\) 20.4904 18.0261i 1.27076 1.11793i
\(261\) 5.25923 + 8.18352i 0.325538 + 0.506547i
\(262\) 7.43540 10.0106i 0.459360 0.618460i
\(263\) −3.76870 + 1.10659i −0.232388 + 0.0682353i −0.395853 0.918314i \(-0.629551\pi\)
0.163465 + 0.986549i \(0.447733\pi\)
\(264\) −8.35745 8.17128i −0.514366 0.502908i
\(265\) 25.6363 29.5859i 1.57483 1.81745i
\(266\) 6.50517 + 6.45650i 0.398857 + 0.395874i
\(267\) 4.56708 2.08572i 0.279501 0.127644i
\(268\) 22.3749 0.168006i 1.36676 0.0102626i
\(269\) −1.88425 + 6.41717i −0.114885 + 0.391262i −0.996780 0.0801837i \(-0.974449\pi\)
0.881895 + 0.471445i \(0.156268\pi\)
\(270\) 2.88717 + 3.82678i 0.175708 + 0.232891i
\(271\) 7.88750 17.2712i 0.479132 1.04915i −0.503570 0.863955i \(-0.667980\pi\)
0.982701 0.185197i \(-0.0592924\pi\)
\(272\) −14.0802 + 4.36504i −0.853740 + 0.264670i
\(273\) −7.80012 5.01284i −0.472085 0.303391i
\(274\) −2.53480 0.934606i −0.153133 0.0564616i
\(275\) 26.8197i 1.61729i
\(276\) 1.57168 + 9.46202i 0.0946040 + 0.569547i
\(277\) 18.9287i 1.13732i −0.822574 0.568658i \(-0.807463\pi\)
0.822574 0.568658i \(-0.192537\pi\)
\(278\) −0.0909911 + 0.246782i −0.00545728 + 0.0148010i
\(279\) −6.32239 4.06316i −0.378512 0.243255i
\(280\) 4.45069 21.6295i 0.265980 1.29261i
\(281\) 1.51219 3.31125i 0.0902100 0.197532i −0.859149 0.511725i \(-0.829007\pi\)
0.949359 + 0.314193i \(0.101734\pi\)
\(282\) −7.44106 + 5.61402i −0.443109 + 0.334310i
\(283\) −3.75874 + 12.8011i −0.223434 + 0.760946i 0.769116 + 0.639109i \(0.220697\pi\)
−0.992550 + 0.121837i \(0.961121\pi\)
\(284\) −0.0434665 5.78883i −0.00257926 0.343504i
\(285\) −8.67589 + 3.96214i −0.513915 + 0.234697i
\(286\) −16.5729 + 16.6978i −0.979977 + 0.987363i
\(287\) −4.91268 + 5.66954i −0.289986 + 0.334662i
\(288\) −5.50403 + 1.30599i −0.324328 + 0.0769564i
\(289\) 3.27985 0.963051i 0.192932 0.0566501i
\(290\) 37.4359 + 27.8055i 2.19831 + 1.63279i
\(291\) −8.53342 13.2783i −0.500238 0.778385i
\(292\) 2.88148 2.53495i 0.168626 0.148347i
\(293\) −12.2215 + 1.75718i −0.713987 + 0.102656i −0.489730 0.871874i \(-0.662905\pi\)
−0.224257 + 0.974530i \(0.571996\pi\)
\(294\) 2.39020 0.179972i 0.139399 0.0104962i
\(295\) 0.228315 1.58796i 0.0132930 0.0924549i
\(296\) 24.9075 + 18.2115i 1.44772 + 1.05852i
\(297\) −2.70618 3.12309i −0.157028 0.181220i
\(298\) 15.2603 + 27.6993i 0.884003 + 1.60458i
\(299\) 19.0683 3.02037i 1.10275 0.174673i
\(300\) 10.9719 + 6.93536i 0.633462 + 0.400413i
\(301\) 19.7277 17.0941i 1.13709 0.985290i
\(302\) 9.73203 + 0.659334i 0.560015 + 0.0379404i
\(303\) −1.78073 + 12.3852i −0.102300 + 0.711512i
\(304\) −0.169012 11.2538i −0.00969348 0.645449i
\(305\) −1.98207 13.7856i −0.113493 0.789362i
\(306\) −5.08855 + 1.12697i −0.290893 + 0.0644246i
\(307\) 9.54960 + 14.8595i 0.545024 + 0.848074i 0.999079 0.0428993i \(-0.0136595\pi\)
−0.454055 + 0.890974i \(0.650023\pi\)
\(308\) −2.56760 + 18.8624i −0.146303 + 1.07478i
\(309\) 4.55172 + 15.5017i 0.258938 + 0.881862i
\(310\) −35.2323 7.52591i −2.00106 0.427443i
\(311\) −12.8717 + 14.8547i −0.729886 + 0.842333i −0.992459 0.122579i \(-0.960884\pi\)
0.262573 + 0.964912i \(0.415429\pi\)
\(312\) 2.54543 + 11.0979i 0.144107 + 0.628294i
\(313\) −5.86620 12.8452i −0.331577 0.726053i 0.668263 0.743925i \(-0.267038\pi\)
−0.999840 + 0.0178721i \(0.994311\pi\)
\(314\) 1.27787 + 0.691553i 0.0721142 + 0.0390266i
\(315\) 2.19960 7.49115i 0.123933 0.422079i
\(316\) −14.2205 6.36566i −0.799963 0.358096i
\(317\) 2.66600 + 1.21752i 0.149738 + 0.0683829i 0.488874 0.872354i \(-0.337408\pi\)
−0.339137 + 0.940737i \(0.610135\pi\)
\(318\) 5.76515 + 15.2815i 0.323294 + 0.856944i
\(319\) −33.8179 21.7335i −1.89344 1.21684i
\(320\) −22.4767 + 15.1710i −1.25649 + 0.848083i
\(321\) −1.12182 −0.0626141
\(322\) 10.8450 11.2437i 0.604368 0.626586i
\(323\) 10.3697i 0.576983i
\(324\) −1.97745 + 0.299486i −0.109858 + 0.0166381i
\(325\) 14.1248 21.9787i 0.783505 1.21916i
\(326\) 10.9560 4.13330i 0.606797 0.228922i
\(327\) 4.11364 9.00762i 0.227485 0.498123i
\(328\) 9.18085 0.760647i 0.506928 0.0419997i
\(329\) 14.5663 + 4.27706i 0.803067 + 0.235802i
\(330\) −17.4223 9.42854i −0.959064 0.519024i
\(331\) −15.4727 + 7.06613i −0.850455 + 0.388390i −0.792458 0.609927i \(-0.791199\pi\)
−0.0579973 + 0.998317i \(0.518471\pi\)
\(332\) 2.53678 + 0.724220i 0.139224 + 0.0397467i
\(333\) 8.24444 + 7.14385i 0.451793 + 0.391481i
\(334\) −2.24758 + 10.5220i −0.122982 + 0.575738i
\(335\) 36.3869 10.6842i 1.98803 0.583738i
\(336\) 7.05262 + 5.92807i 0.384752 + 0.323403i
\(337\) 14.7973 9.50964i 0.806059 0.518023i −0.0715285 0.997439i \(-0.522788\pi\)
0.877588 + 0.479416i \(0.159151\pi\)
\(338\) 4.42571 0.980171i 0.240727 0.0533143i
\(339\) 4.40459 0.633284i 0.239224 0.0343953i
\(340\) −20.9161 + 13.6650i −1.13434 + 0.741087i
\(341\) 30.7410 + 4.41989i 1.66472 + 0.239351i
\(342\) 0.268974 3.97016i 0.0145445 0.214682i
\(343\) −13.1148 15.1352i −0.708131 0.817226i
\(344\) −31.9971 1.92654i −1.72517 0.103872i
\(345\) 6.96381 + 14.6893i 0.374919 + 0.790846i
\(346\) 4.55135 + 8.26129i 0.244682 + 0.444130i
\(347\) 4.71769 4.08790i 0.253259 0.219450i −0.518974 0.854790i \(-0.673686\pi\)
0.772232 + 0.635340i \(0.219140\pi\)
\(348\) −17.6362 + 8.21477i −0.945399 + 0.440358i
\(349\) −2.98455 0.429114i −0.159759 0.0229699i 0.0619710 0.998078i \(-0.480261\pi\)
−0.221730 + 0.975108i \(0.571170\pi\)
\(350\) −1.58727 21.0804i −0.0848432 1.12680i
\(351\) 0.572900 + 3.98460i 0.0305791 + 0.212682i
\(352\) 18.4477 14.3579i 0.983267 0.765279i
\(353\) −10.5901 + 6.80582i −0.563653 + 0.362237i −0.791226 0.611523i \(-0.790557\pi\)
0.227574 + 0.973761i \(0.426921\pi\)
\(354\) 0.537326 + 0.399098i 0.0285586 + 0.0212118i
\(355\) −2.76421 9.41403i −0.146709 0.499645i
\(356\) 2.90131 + 9.61333i 0.153769 + 0.509506i
\(357\) 6.41506 + 5.55868i 0.339521 + 0.294197i
\(358\) −10.7172 10.6371i −0.566424 0.562187i
\(359\) −7.86571 17.2235i −0.415136 0.909022i −0.995509 0.0946705i \(-0.969820\pi\)
0.580372 0.814351i \(-0.302907\pi\)
\(360\) −8.36247 + 4.68928i −0.440741 + 0.247147i
\(361\) −10.6338 3.12237i −0.559674 0.164335i
\(362\) 11.9438 9.01121i 0.627754 0.473618i
\(363\) 5.52793 + 2.52452i 0.290141 + 0.132503i
\(364\) 12.0382 14.1054i 0.630973 0.739326i
\(365\) 3.51661 5.47195i 0.184068 0.286415i
\(366\) 5.45186 + 2.01016i 0.284973 + 0.105073i
\(367\) 21.1274 1.10284 0.551420 0.834228i \(-0.314086\pi\)
0.551420 + 0.834228i \(0.314086\pi\)
\(368\) −19.1751 + 0.562185i −0.999570 + 0.0293059i
\(369\) 3.25704 0.169555
\(370\) 49.0659 + 18.0911i 2.55081 + 0.940511i
\(371\) 14.3814 22.3779i 0.746646 1.16180i
\(372\) 9.75757 11.4332i 0.505906 0.592782i
\(373\) 0.586527 + 0.267858i 0.0303692 + 0.0138692i 0.430542 0.902571i \(-0.358323\pi\)
−0.400173 + 0.916440i \(0.631050\pi\)
\(374\) 17.1932 12.9717i 0.889040 0.670750i
\(375\) 4.84613 + 1.42295i 0.250253 + 0.0734809i
\(376\) −9.11816 16.2606i −0.470233 0.838574i
\(377\) 16.2676 + 35.6211i 0.837824 + 1.83458i
\(378\) 2.31191 + 2.29461i 0.118912 + 0.118022i
\(379\) 3.26018 + 2.82497i 0.167464 + 0.145109i 0.734561 0.678542i \(-0.237388\pi\)
−0.567097 + 0.823651i \(0.691933\pi\)
\(380\) −5.51149 18.2620i −0.282734 0.936822i
\(381\) −0.377663 1.28620i −0.0193483 0.0658941i
\(382\) −13.6772 10.1587i −0.699785 0.519765i
\(383\) −7.06181 + 4.53835i −0.360842 + 0.231899i −0.708482 0.705729i \(-0.750620\pi\)
0.347640 + 0.937628i \(0.386983\pi\)
\(384\) −1.10336 11.2598i −0.0563058 0.574598i
\(385\) 4.59160 + 31.9353i 0.234010 + 1.62757i
\(386\) −2.90683 38.6054i −0.147954 1.96497i
\(387\) −11.2178 1.61288i −0.570234 0.0819873i
\(388\) 28.6158 13.3290i 1.45275 0.676676i
\(389\) −24.9442 + 21.6143i −1.26472 + 1.09589i −0.273752 + 0.961800i \(0.588265\pi\)
−0.990970 + 0.134087i \(0.957190\pi\)
\(390\) 9.31189 + 16.9023i 0.471526 + 0.855880i
\(391\) −17.6724 + 0.252610i −0.893733 + 0.0127750i
\(392\) −0.288119 + 4.78527i −0.0145522 + 0.241693i
\(393\) 5.77427 + 6.66386i 0.291273 + 0.336147i
\(394\) −0.551216 + 8.13616i −0.0277699 + 0.409894i
\(395\) −26.1373 3.75798i −1.31511 0.189084i
\(396\) 6.91912 4.52042i 0.347699 0.227160i
\(397\) 6.28272 0.903318i 0.315320 0.0453362i 0.0171623 0.999853i \(-0.494537\pi\)
0.298158 + 0.954516i \(0.403628\pi\)
\(398\) 11.5324 2.55410i 0.578067 0.128025i
\(399\) −5.45206 + 3.50383i −0.272945 + 0.175411i
\(400\) −16.7037 + 19.8724i −0.835186 + 0.993620i
\(401\) −33.7849 + 9.92015i −1.68714 + 0.495389i −0.977811 0.209490i \(-0.932820\pi\)
−0.709328 + 0.704879i \(0.751001\pi\)
\(402\) −3.30511 + 15.4728i −0.164844 + 0.771713i
\(403\) −22.8645 19.8122i −1.13896 0.986914i
\(404\) −24.0637 6.86991i −1.19721 0.341791i
\(405\) −3.08337 + 1.40813i −0.153214 + 0.0699705i
\(406\) 27.8674 + 15.0812i 1.38304 + 0.748468i
\(407\) −43.2546 12.7007i −2.14405 0.629550i
\(408\) −0.860669 10.3881i −0.0426095 0.514288i
\(409\) 3.56137 7.79832i 0.176099 0.385602i −0.800915 0.598778i \(-0.795653\pi\)
0.977014 + 0.213175i \(0.0683806\pi\)
\(410\) 14.6084 5.51122i 0.721459 0.272180i
\(411\) 1.03280 1.60707i 0.0509443 0.0792708i
\(412\) −31.9480 + 4.83854i −1.57397 + 0.238378i
\(413\) 1.09011i 0.0536408i
\(414\) −6.77268 0.361683i −0.332859 0.0177757i
\(415\) 4.47122 0.219484
\(416\) −22.6796 + 2.05061i −1.11196 + 0.100539i
\(417\) −0.156460 0.100551i −0.00766190 0.00492401i
\(418\) 5.80442 + 15.3856i 0.283904 + 0.752534i
\(419\) −18.2216 8.32155i −0.890186 0.406534i −0.0828055 0.996566i \(-0.526388\pi\)
−0.807380 + 0.590032i \(0.799115\pi\)
\(420\) 14.2520 + 6.37980i 0.695428 + 0.311302i
\(421\) −2.51214 + 8.55555i −0.122434 + 0.416972i −0.997785 0.0665152i \(-0.978812\pi\)
0.875351 + 0.483487i \(0.160630\pi\)
\(422\) 17.1097 + 9.25937i 0.832886 + 0.450739i
\(423\) −2.73807 5.99553i −0.133129 0.291513i
\(424\) −31.8389 + 7.30264i −1.54624 + 0.354647i
\(425\) −15.6629 + 18.0759i −0.759762 + 0.876812i
\(426\) 4.00313 + 0.855100i 0.193952 + 0.0414298i
\(427\) −2.66620 9.08023i −0.129026 0.439423i
\(428\) 0.302620 2.22315i 0.0146277 0.107460i
\(429\) −8.99382 13.9947i −0.434226 0.675669i
\(430\) −53.0432 + 11.7476i −2.55797 + 0.566518i
\(431\) 2.25932 + 15.7139i 0.108827 + 0.756911i 0.969027 + 0.246954i \(0.0794297\pi\)
−0.860200 + 0.509957i \(0.829661\pi\)
\(432\) −0.0600660 3.99955i −0.00288993 0.192428i
\(433\) 2.22284 15.4602i 0.106823 0.742971i −0.864055 0.503397i \(-0.832083\pi\)
0.970878 0.239574i \(-0.0770076\pi\)
\(434\) −24.4243 1.65472i −1.17240 0.0794290i
\(435\) −24.9202 + 21.5935i −1.19483 + 1.03533i
\(436\) 16.7409 + 10.5820i 0.801745 + 0.506785i
\(437\) 3.61635 13.0007i 0.172993 0.621910i
\(438\) 1.30950 + 2.37690i 0.0625701 + 0.113573i
\(439\) 19.8510 + 22.9093i 0.947436 + 1.09340i 0.995520 + 0.0945563i \(0.0301432\pi\)
−0.0480833 + 0.998843i \(0.515311\pi\)
\(440\) 23.3846 31.9827i 1.11481 1.52472i
\(441\) −0.241211 + 1.67766i −0.0114862 + 0.0798886i
\(442\) −20.9215 + 1.57530i −0.995133 + 0.0749295i
\(443\) 19.1621 2.75509i 0.910419 0.130898i 0.328837 0.944387i \(-0.393343\pi\)
0.581582 + 0.813488i \(0.302434\pi\)
\(444\) −16.3811 + 14.4111i −0.777414 + 0.683921i
\(445\) 9.20115 + 14.3173i 0.436176 + 0.678704i
\(446\) −0.571121 0.424200i −0.0270434 0.0200864i
\(447\) −21.4563 + 6.30014i −1.01485 + 0.297986i
\(448\) −13.6503 + 12.3772i −0.644916 + 0.584768i
\(449\) −12.9888 + 14.9899i −0.612979 + 0.707415i −0.974358 0.225004i \(-0.927761\pi\)
0.361379 + 0.932419i \(0.382306\pi\)
\(450\) −6.46561 + 6.51434i −0.304792 + 0.307089i
\(451\) −12.2432 + 5.59130i −0.576511 + 0.263284i
\(452\) 0.0668236 + 8.89951i 0.00314312 + 0.418598i
\(453\) −1.94321 + 6.61796i −0.0913000 + 0.310939i
\(454\) 0.663834 0.500840i 0.0311553 0.0235056i
\(455\) 13.0562 28.5891i 0.612085 1.34028i
\(456\) 7.79521 + 1.60401i 0.365044 + 0.0751148i
\(457\) 22.9213 + 14.7306i 1.07221 + 0.689069i 0.952746 0.303769i \(-0.0982450\pi\)
0.119467 + 0.992838i \(0.461881\pi\)
\(458\) 3.77871 10.2485i 0.176568 0.478879i
\(459\) 3.68533i 0.172017i
\(460\) −30.9887 + 9.83780i −1.44486 + 0.458690i
\(461\) 24.1405i 1.12434i 0.827023 + 0.562168i \(0.190032\pi\)
−0.827023 + 0.562168i \(0.809968\pi\)
\(462\) −12.6296 4.65666i −0.587582 0.216647i
\(463\) 2.15288 + 1.38357i 0.100053 + 0.0642999i 0.589710 0.807615i \(-0.299242\pi\)
−0.489658 + 0.871915i \(0.662878\pi\)
\(464\) −11.5219 37.1661i −0.534891 1.72539i
\(465\) 10.5827 23.1729i 0.490762 1.07462i
\(466\) −2.20966 2.92878i −0.102360 0.135673i
\(467\) −9.55560 + 32.5434i −0.442180 + 1.50593i 0.373613 + 0.927585i \(0.378119\pi\)
−0.815793 + 0.578344i \(0.803699\pi\)
\(468\) −8.05093 + 0.0604518i −0.372154 + 0.00279439i
\(469\) 23.4398 10.7046i 1.08235 0.494293i
\(470\) −22.4257 22.2580i −1.03442 1.02668i
\(471\) −0.672818 + 0.776474i −0.0310018 + 0.0357780i
\(472\) −0.935851 + 0.957173i −0.0430760 + 0.0440574i
\(473\) 44.9367 13.1946i 2.06619 0.606688i
\(474\) 6.56901 8.84419i 0.301725 0.406227i
\(475\) −9.87285 15.3625i −0.452998 0.704878i
\(476\) −12.7463 + 11.2134i −0.584225 + 0.513965i
\(477\) −11.4315 + 1.64360i −0.523413 + 0.0752554i
\(478\) 2.47337 + 32.8486i 0.113129 + 1.50246i
\(479\) −0.832437 + 5.78973i −0.0380350 + 0.264539i −0.999962 0.00876879i \(-0.997209\pi\)
0.961927 + 0.273308i \(0.0881179\pi\)
\(480\) −7.03702 17.8371i −0.321195 0.814147i
\(481\) 28.7581 + 33.1886i 1.31126 + 1.51327i
\(482\) 11.0194 6.07088i 0.501922 0.276521i
\(483\) 6.10419 + 9.20629i 0.277750 + 0.418901i
\(484\) −6.49411 + 10.2738i −0.295187 + 0.466992i
\(485\) 40.4345 35.0367i 1.83604 1.59094i
\(486\) 0.0955923 1.41098i 0.00433616 0.0640033i
\(487\) −3.77939 + 26.2863i −0.171261 + 1.19114i 0.704965 + 0.709242i \(0.250963\pi\)
−0.876225 + 0.481901i \(0.839946\pi\)
\(488\) −5.45425 + 10.2618i −0.246902 + 0.464531i
\(489\) 1.17837 + 8.19576i 0.0532878 + 0.370625i
\(490\) 1.75688 + 7.93276i 0.0793679 + 0.358366i
\(491\) −20.2162 31.4570i −0.912343 1.41963i −0.907688 0.419645i \(-0.862155\pi\)
−0.00465519 0.999989i \(-0.501482\pi\)
\(492\) −0.878612 + 6.45456i −0.0396109 + 0.290994i
\(493\) −10.1001 34.3979i −0.454887 1.54920i
\(494\) 3.34626 15.6654i 0.150555 0.704821i
\(495\) 9.17311 10.5863i 0.412301 0.475820i
\(496\) 20.0252 + 22.4210i 0.899159 + 1.00673i
\(497\) −2.76950 6.06437i −0.124229 0.272024i
\(498\) −0.887857 + 1.64060i −0.0397858 + 0.0735171i
\(499\) 10.3297 35.1797i 0.462421 1.57486i −0.317042 0.948411i \(-0.602690\pi\)
0.779463 0.626448i \(-0.215492\pi\)
\(500\) −4.12718 + 9.21984i −0.184573 + 0.412324i
\(501\) −6.92050 3.16048i −0.309185 0.141200i
\(502\) −28.5564 + 10.7733i −1.27454 + 0.480835i
\(503\) −10.8915 6.99953i −0.485627 0.312094i 0.274817 0.961496i \(-0.411383\pi\)
−0.760445 + 0.649403i \(0.775019\pi\)
\(504\) −5.17095 + 3.96258i −0.230332 + 0.176507i
\(505\) −42.4138 −1.88739
\(506\) 26.0794 10.2670i 1.15937 0.456422i
\(507\) 3.20528i 0.142352i
\(508\) 2.65077 0.401461i 0.117609 0.0178119i
\(509\) 11.7066 18.2158i 0.518884 0.807399i −0.478619 0.878023i \(-0.658862\pi\)
0.997503 + 0.0706233i \(0.0224988\pi\)
\(510\) −6.23593 16.5294i −0.276132 0.731934i
\(511\) 1.83605 4.02038i 0.0812219 0.177851i
\(512\) 22.6114 + 0.850849i 0.999293 + 0.0376025i
\(513\) 2.69979 + 0.792729i 0.119199 + 0.0349998i
\(514\) 11.4628 21.1813i 0.505604 0.934265i
\(515\) −49.8155 + 22.7500i −2.19513 + 1.00248i
\(516\) 6.22238 21.7956i 0.273925 0.959496i
\(517\) 20.5848 + 17.8368i 0.905319 + 0.784463i
\(518\) 34.7501 + 7.42290i 1.52683 + 0.326143i
\(519\) −6.39931 + 1.87901i −0.280899 + 0.0824793i
\(520\) −36.0076 + 13.8941i −1.57904 + 0.609295i
\(521\) −27.3203 + 17.5577i −1.19693 + 0.769217i −0.978422 0.206619i \(-0.933754\pi\)
−0.218504 + 0.975836i \(0.570118\pi\)
\(522\) −2.97474 13.4317i −0.130201 0.587888i
\(523\) 31.6509 4.55072i 1.38400 0.198989i 0.590243 0.807226i \(-0.299032\pi\)
0.793756 + 0.608237i \(0.208123\pi\)
\(524\) −14.7636 + 9.64538i −0.644950 + 0.421360i
\(525\) 14.7962 + 2.12737i 0.645758 + 0.0928460i
\(526\) 5.54205 + 0.375468i 0.241645 + 0.0163712i
\(527\) 18.1376 + 20.9319i 0.790087 + 0.911809i
\(528\) 7.09173 + 14.9312i 0.308628 + 0.649797i
\(529\) −22.2445 5.84644i −0.967154 0.254193i
\(530\) −48.4913 + 26.7150i −2.10633 + 1.16043i
\(531\) −0.357686 + 0.309936i −0.0155222 + 0.0134501i
\(532\) −5.47289 11.7497i −0.237280 0.509413i
\(533\) 12.9780 + 1.86596i 0.562141 + 0.0808236i
\(534\) −7.08044 + 0.533128i −0.306401 + 0.0230707i
\(535\) −0.541172 3.76393i −0.0233969 0.162729i
\(536\) −29.7712 10.7237i −1.28592 0.463194i
\(537\) 8.98226 5.77255i 0.387613 0.249104i
\(538\) 5.63973 7.59305i 0.243146 0.327359i
\(539\) −1.97329 6.72041i −0.0849957 0.289469i
\(540\) −1.95876 6.49025i −0.0842917 0.279296i
\(541\) 19.8872 + 17.2324i 0.855018 + 0.740878i 0.967526 0.252773i \(-0.0813427\pi\)
−0.112507 + 0.993651i \(0.535888\pi\)
\(542\) −18.9156 + 19.0582i −0.812496 + 0.818619i
\(543\) 4.39493 + 9.62356i 0.188605 + 0.412987i
\(544\) 20.8185 + 1.09666i 0.892587 + 0.0470189i
\(545\) 32.2067 + 9.45675i 1.37958 + 0.405083i
\(546\) 7.89746 + 10.4676i 0.337980 + 0.447973i
\(547\) 17.2103 + 7.85967i 0.735858 + 0.336055i 0.747845 0.663873i \(-0.231088\pi\)
−0.0119872 + 0.999928i \(0.503816\pi\)
\(548\) 2.90616 + 2.48024i 0.124145 + 0.105951i
\(549\) −2.22135 + 3.45649i −0.0948050 + 0.147519i
\(550\) 13.1212 35.5868i 0.559491 1.51743i
\(551\) 27.3716 1.16607
\(552\) 2.54374 13.3240i 0.108269 0.567108i
\(553\) −17.9428 −0.763004
\(554\) −9.26066 + 25.1164i −0.393448 + 1.06709i
\(555\) −19.9918 + 31.1079i −0.848606 + 1.32046i
\(556\) 0.241471 0.282937i 0.0102406 0.0119992i
\(557\) 6.78569 + 3.09892i 0.287519 + 0.131305i 0.553954 0.832547i \(-0.313118\pi\)
−0.266435 + 0.963853i \(0.585846\pi\)
\(558\) 6.40129 + 8.48453i 0.270988 + 0.359179i
\(559\) −43.7746 12.8534i −1.85147 0.543640i
\(560\) −16.4876 + 26.5226i −0.696728 + 1.12078i
\(561\) 6.32654 + 13.8532i 0.267107 + 0.584882i
\(562\) −3.62651 + 3.65384i −0.152975 + 0.154128i
\(563\) 13.0413 + 11.3003i 0.549623 + 0.476251i 0.884843 0.465889i \(-0.154265\pi\)
−0.335220 + 0.942140i \(0.608811\pi\)
\(564\) 12.6201 3.80875i 0.531402 0.160377i
\(565\) 4.24958 + 14.4727i 0.178781 + 0.608873i
\(566\) 11.2502 15.1468i 0.472883 0.636666i
\(567\) −1.93764 + 1.24525i −0.0813733 + 0.0522954i
\(568\) −2.77445 + 7.70243i −0.116413 + 0.323187i
\(569\) 1.07601 + 7.48381i 0.0451087 + 0.313738i 0.999866 + 0.0163527i \(0.00520544\pi\)
−0.954758 + 0.297385i \(0.903885\pi\)
\(570\) 13.4504 1.01276i 0.563376 0.0424199i
\(571\) 3.27698 + 0.471159i 0.137137 + 0.0197174i 0.210542 0.977585i \(-0.432477\pi\)
−0.0734042 + 0.997302i \(0.523386\pi\)
\(572\) 30.1597 14.0481i 1.26104 0.587381i
\(573\) 9.10458 7.88916i 0.380349 0.329575i
\(574\) 9.29236 5.11939i 0.387856 0.213679i
\(575\) −25.9409 + 17.2000i −1.08181 + 0.717289i
\(576\) 7.94221 + 0.959874i 0.330925 + 0.0399948i
\(577\) 6.90782 + 7.97205i 0.287577 + 0.331881i 0.881095 0.472939i \(-0.156807\pi\)
−0.593518 + 0.804820i \(0.702262\pi\)
\(578\) −4.82318 0.326765i −0.200618 0.0135916i
\(579\) 27.0968 + 3.89593i 1.12610 + 0.161909i
\(580\) −36.0699 55.2099i −1.49772 2.29247i
\(581\) 3.00725 0.432377i 0.124762 0.0179380i
\(582\) 4.82669 + 21.7937i 0.200073 + 0.903378i
\(583\) 40.1495 25.8025i 1.66282 1.06863i
\(584\) −5.06361 + 1.95387i −0.209534 + 0.0808518i
\(585\) −13.0927 + 3.84438i −0.541318 + 0.158945i
\(586\) 17.0763 + 3.64763i 0.705415 + 0.150682i
\(587\) 14.6114 + 12.6608i 0.603075 + 0.522568i 0.902015 0.431704i \(-0.142088\pi\)
−0.298940 + 0.954272i \(0.596633\pi\)
\(588\) −3.25959 0.930575i −0.134423 0.0383763i
\(589\) −19.2357 + 8.78465i −0.792593 + 0.361965i
\(590\) −1.07984 + 1.99536i −0.0444565 + 0.0821476i
\(591\) −5.53275 1.62456i −0.227587 0.0668255i
\(592\) −24.1399 36.3504i −0.992144 1.49399i
\(593\) 17.7876 38.9493i 0.730447 1.59946i −0.0682103 0.997671i \(-0.521729\pi\)
0.798658 0.601786i \(-0.205544\pi\)
\(594\) 2.06287 + 5.46798i 0.0846405 + 0.224354i
\(595\) −15.5558 + 24.2053i −0.637726 + 0.992320i
\(596\) −6.69713 44.2200i −0.274325 1.81132i
\(597\) 8.35223i 0.341834i
\(598\) −26.7792 5.32123i −1.09508 0.217601i
\(599\) 35.2760 1.44134 0.720669 0.693279i \(-0.243835\pi\)
0.720669 + 0.693279i \(0.243835\pi\)
\(600\) −11.1655 14.5704i −0.455829 0.594832i
\(601\) 6.07463 + 3.90393i 0.247789 + 0.159245i 0.658640 0.752458i \(-0.271132\pi\)
−0.410851 + 0.911703i \(0.634768\pi\)
\(602\) −34.5397 + 13.0305i −1.40773 + 0.531085i
\(603\) −10.1767 4.64756i −0.414428 0.189263i
\(604\) −12.5908 5.63615i −0.512312 0.229332i
\(605\) −5.80356 + 19.7651i −0.235948 + 0.803566i
\(606\) 8.42216 15.5627i 0.342127 0.632190i
\(607\) −3.58845 7.85760i −0.145651 0.318930i 0.822720 0.568447i \(-0.192456\pi\)
−0.968370 + 0.249517i \(0.919728\pi\)
\(608\) −5.28153 + 15.0153i −0.214194 + 0.608949i
\(609\) −14.6726 + 16.9331i −0.594565 + 0.686165i
\(610\) −4.11446 + 19.2617i −0.166590 + 0.779885i
\(611\) −7.47527 25.4584i −0.302417 1.02994i
\(612\) 7.30331 + 0.994147i 0.295219 + 0.0401860i
\(613\) 13.6485 + 21.2375i 0.551257 + 0.857773i 0.999344 0.0362174i \(-0.0115309\pi\)
−0.448087 + 0.893990i \(0.647895\pi\)
\(614\) −5.40147 24.3889i −0.217985 0.984258i
\(615\) 1.57121 + 10.9280i 0.0633573 + 0.440659i
\(616\) 12.6351 23.7722i 0.509084 0.957809i
\(617\) 3.40565 23.6868i 0.137106 0.953594i −0.798863 0.601513i \(-0.794565\pi\)
0.935969 0.352081i \(-0.114526\pi\)
\(618\) 1.54441 22.7960i 0.0621251 0.916990i
\(619\) 24.7004 21.4030i 0.992791 0.860258i 0.00260263 0.999997i \(-0.499172\pi\)
0.990188 + 0.139738i \(0.0446261\pi\)
\(620\) 43.0676 + 27.2231i 1.72964 + 1.09331i
\(621\) 1.28524 4.62041i 0.0515747 0.185411i
\(622\) 24.3468 13.4133i 0.976219 0.537824i
\(623\) 7.57300 + 8.73971i 0.303406 + 0.350149i
\(624\) 2.05200 15.9710i 0.0821458 0.639353i
\(625\) 2.18165 15.1737i 0.0872659 0.606948i
\(626\) 1.49946 + 19.9142i 0.0599303 + 0.795930i
\(627\) −11.5094 + 1.65480i −0.459640 + 0.0660863i
\(628\) −1.35726 1.54280i −0.0541605 0.0615644i
\(629\) −21.7355 33.8210i −0.866650 1.34853i
\(630\) −6.58360 + 8.86383i −0.262297 + 0.353143i
\(631\) 25.3571 7.44551i 1.00945 0.296401i 0.265121 0.964215i \(-0.414588\pi\)
0.744328 + 0.667814i \(0.232770\pi\)
\(632\) 15.7547 + 15.4037i 0.626688 + 0.612728i
\(633\) −9.00852 + 10.3964i −0.358057 + 0.413219i
\(634\) −2.94184 2.91984i −0.116835 0.115961i
\(635\) 4.13327 1.88760i 0.164024 0.0749071i
\(636\) −0.173431 23.0975i −0.00687700 0.915874i
\(637\) −1.92226 + 6.54662i −0.0761628 + 0.259387i
\(638\) 34.2399 + 45.3830i 1.35557 + 1.79673i
\(639\) −1.20242 + 2.63293i −0.0475669 + 0.104157i
\(640\) 37.2464 9.13375i 1.47229 0.361043i
\(641\) 7.89371 + 5.07298i 0.311783 + 0.200371i 0.687168 0.726498i \(-0.258853\pi\)
−0.375386 + 0.926869i \(0.622490\pi\)
\(642\) 1.48854 + 0.548840i 0.0587480 + 0.0216610i
\(643\) 1.07560i 0.0424176i −0.999775 0.0212088i \(-0.993249\pi\)
0.999775 0.0212088i \(-0.00675148\pi\)
\(644\) −19.8910 + 9.61336i −0.783815 + 0.378820i
\(645\) 38.4160i 1.51263i
\(646\) −5.07324 + 13.7594i −0.199604 + 0.541357i
\(647\) 22.4094 + 14.4016i 0.881004 + 0.566187i 0.901100 0.433611i \(-0.142761\pi\)
−0.0200962 + 0.999798i \(0.506397\pi\)
\(648\) 2.77038 + 0.570060i 0.108831 + 0.0223941i
\(649\) 0.812480 1.77908i 0.0318926 0.0698352i
\(650\) −29.4950 + 22.2529i −1.15689 + 0.872832i
\(651\) 4.87683 16.6090i 0.191138 0.650957i
\(652\) −16.5596 + 0.124341i −0.648524 + 0.00486956i
\(653\) −32.3561 + 14.7765i −1.26619 + 0.578250i −0.931385 0.364037i \(-0.881398\pi\)
−0.334807 + 0.942287i \(0.608671\pi\)
\(654\) −9.86524 + 9.93960i −0.385762 + 0.388669i
\(655\) −19.5730 + 22.5884i −0.764780 + 0.882603i
\(656\) −12.5541 3.48233i −0.490157 0.135962i
\(657\) −1.84118 + 0.540620i −0.0718314 + 0.0210916i
\(658\) −17.2354 12.8016i −0.671908 0.499059i
\(659\) 15.8756 + 24.7029i 0.618426 + 0.962289i 0.999291 + 0.0376585i \(0.0119899\pi\)
−0.380865 + 0.924631i \(0.624374\pi\)
\(660\) 18.5047 + 21.0343i 0.720293 + 0.818760i
\(661\) 10.3526 1.48848i 0.402669 0.0578951i 0.0619949 0.998076i \(-0.480254\pi\)
0.340674 + 0.940181i \(0.389345\pi\)
\(662\) 23.9876 1.80617i 0.932305 0.0701987i
\(663\) 2.11133 14.6846i 0.0819971 0.570302i
\(664\) −3.01171 2.20205i −0.116877 0.0854562i
\(665\) −14.3861 16.6025i −0.557869 0.643816i
\(666\) −7.44444 13.5126i −0.288466 0.523604i
\(667\) −0.666787 46.6479i −0.0258181 1.80622i
\(668\) 8.13007 12.8620i 0.314562 0.497644i
\(669\) 0.380182 0.329430i 0.0146987 0.0127365i
\(670\) −53.5086 3.62515i −2.06722 0.140052i
\(671\) 2.41638 16.8063i 0.0932835 0.648801i
\(672\) −6.45783 11.3163i −0.249116 0.436537i
\(673\) 0.680060 + 4.72992i 0.0262144 + 0.182325i 0.998722 0.0505475i \(-0.0160966\pi\)
−0.972507 + 0.232872i \(0.925188\pi\)
\(674\) −24.2869 + 5.37886i −0.935496 + 0.207186i
\(675\) −3.50877 5.45975i −0.135053 0.210146i
\(676\) −6.35199 0.864649i −0.244307 0.0332557i
\(677\) −5.73736 19.5397i −0.220505 0.750970i −0.993223 0.116221i \(-0.962922\pi\)
0.772719 0.634749i \(-0.218896\pi\)
\(678\) −6.15425 1.31460i −0.236352 0.0504867i
\(679\) 23.8073 27.4750i 0.913639 1.05440i
\(680\) 34.4389 7.89897i 1.32067 0.302912i
\(681\) 0.244269 + 0.534875i 0.00936041 + 0.0204964i
\(682\) −38.6277 20.9044i −1.47913 0.800473i
\(683\) −8.69675 + 29.6184i −0.332772 + 1.13332i 0.607904 + 0.794010i \(0.292010\pi\)
−0.940676 + 0.339306i \(0.889808\pi\)
\(684\) −2.29926 + 5.13639i −0.0879143 + 0.196395i
\(685\) 5.89025 + 2.68999i 0.225055 + 0.102779i
\(686\) 9.99714 + 26.4991i 0.381692 + 1.01174i
\(687\) 6.49755 + 4.17572i 0.247897 + 0.159314i
\(688\) 41.5143 + 18.2106i 1.58272 + 0.694271i
\(689\) −46.4916 −1.77119
\(690\) −2.05365 22.8981i −0.0781811 0.871716i
\(691\) 39.7089i 1.51060i 0.655380 + 0.755299i \(0.272508\pi\)
−0.655380 + 0.755299i \(0.727492\pi\)
\(692\) −1.99741 13.1885i −0.0759302 0.501353i
\(693\) 5.14591 8.00719i 0.195477 0.304168i
\(694\) −8.25982 + 3.11613i −0.313539 + 0.118287i
\(695\) 0.261891 0.573461i 0.00993409 0.0217526i
\(696\) 27.4203 2.27181i 1.03936 0.0861128i
\(697\) −11.5171 3.38172i −0.436240 0.128092i
\(698\) 3.75024 + 2.02955i 0.141949 + 0.0768195i
\(699\) 2.35982 1.07769i 0.0892565 0.0407621i
\(700\) −8.20724 + 28.7481i −0.310204 + 1.08657i
\(701\) 34.7517 + 30.1125i 1.31255 + 1.13733i 0.981024 + 0.193889i \(0.0621101\pi\)
0.331529 + 0.943445i \(0.392435\pi\)
\(702\) 1.18925 5.56743i 0.0448852 0.210129i
\(703\) 29.4519 8.64785i 1.11080 0.326160i
\(704\) −31.5026 + 10.0261i −1.18730 + 0.377871i
\(705\) 18.7953 12.0790i 0.707872 0.454921i
\(706\) 17.3816 3.84953i 0.654164 0.144879i
\(707\) −28.5266 + 4.10150i −1.07285 + 0.154253i
\(708\) −0.517720 0.792442i −0.0194571 0.0297818i
\(709\) 32.9343 + 4.73524i 1.23688 + 0.177836i 0.729555 0.683922i \(-0.239727\pi\)
0.507320 + 0.861758i \(0.330636\pi\)
\(710\) −0.937901 + 13.8438i −0.0351988 + 0.519547i
\(711\) 5.10143 + 5.88737i 0.191319 + 0.220794i
\(712\) 0.853489 14.1753i 0.0319859 0.531242i
\(713\) 15.4398 + 32.5683i 0.578224 + 1.21969i
\(714\) −5.79258 10.5143i −0.216782 0.393487i
\(715\) 42.6161 36.9271i 1.59375 1.38099i
\(716\) 9.01657 + 19.3576i 0.336965 + 0.723426i
\(717\) −23.0561 3.31497i −0.861047 0.123800i
\(718\) 2.01055 + 26.7020i 0.0750330 + 0.996508i
\(719\) −3.82655 26.6142i −0.142706 0.992542i −0.927777 0.373136i \(-0.878282\pi\)
0.785071 0.619406i \(-0.212627\pi\)
\(720\) 13.3903 2.13093i 0.499026 0.0794151i
\(721\) −31.3048 + 20.1184i −1.16585 + 0.749248i
\(722\) 12.5823 + 9.34552i 0.468266 + 0.347804i
\(723\) 2.50634 + 8.53581i 0.0932118 + 0.317450i
\(724\) −20.2568 + 6.11352i −0.752839 + 0.227207i
\(725\) −47.7130 41.3436i −1.77202 1.53546i
\(726\) −6.09988 6.05425i −0.226388 0.224694i
\(727\) −10.0429 21.9910i −0.372472 0.815600i −0.999335 0.0364701i \(-0.988389\pi\)
0.626863 0.779130i \(-0.284339\pi\)
\(728\) −22.8743 + 12.8269i −0.847779 + 0.475395i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −7.34326 + 5.54024i −0.271786 + 0.205053i
\(731\) 37.9922 + 17.3505i 1.40519 + 0.641730i
\(732\) −6.25059 5.33452i −0.231028 0.197170i
\(733\) 2.67635 4.16449i 0.0988534 0.153819i −0.788304 0.615286i \(-0.789040\pi\)
0.887157 + 0.461467i \(0.152677\pi\)
\(734\) −28.0337 10.3363i −1.03474 0.381521i
\(735\) −5.74523 −0.211916
\(736\) 25.7183 + 8.63524i 0.947990 + 0.318299i
\(737\) 46.2327 1.70301
\(738\) −4.32175 1.59347i −0.159086 0.0586565i
\(739\) −17.2653 + 26.8653i −0.635113 + 0.988255i 0.363286 + 0.931678i \(0.381655\pi\)
−0.998398 + 0.0565768i \(0.981981\pi\)
\(740\) −56.2543 48.0099i −2.06795 1.76488i
\(741\) 10.3034 + 4.70542i 0.378506 + 0.172858i
\(742\) −30.0308 + 22.6572i −1.10246 + 0.831771i
\(743\) 4.97614 + 1.46113i 0.182557 + 0.0536035i 0.371733 0.928340i \(-0.378764\pi\)
−0.189176 + 0.981943i \(0.560582\pi\)
\(744\) −18.5408 + 10.3968i −0.679739 + 0.381166i
\(745\) −31.4888 68.9508i −1.15366 2.52616i
\(746\) −0.647212 0.642371i −0.0236961 0.0235189i
\(747\) −0.996882 0.863803i −0.0364740 0.0316049i
\(748\) −29.1598 + 8.80045i −1.06619 + 0.321776i
\(749\) −0.727961 2.47921i −0.0265991 0.0905882i
\(750\) −5.73413 4.25902i −0.209381 0.155517i
\(751\) −18.6265 + 11.9705i −0.679691 + 0.436811i −0.834408 0.551148i \(-0.814190\pi\)
0.154716 + 0.987959i \(0.450554\pi\)
\(752\) 4.14353 + 26.0370i 0.151099 + 0.949471i
\(753\) −3.07138 21.3619i −0.111927 0.778473i
\(754\) −4.15815 55.2241i −0.151431 2.01114i
\(755\) −23.1419 3.32731i −0.842222 0.121093i
\(756\) −1.94504 4.17578i −0.0707405 0.151872i
\(757\) 29.9408 25.9439i 1.08822 0.942946i 0.0896247 0.995976i \(-0.471433\pi\)
0.998593 + 0.0530296i \(0.0168878\pi\)
\(758\) −2.94383 5.34344i −0.106925 0.194082i
\(759\) 3.10055 + 19.5745i 0.112543 + 0.710508i
\(760\) −1.62134 + 26.9282i −0.0588121 + 0.976788i
\(761\) 32.4482 + 37.4473i 1.17625 + 1.35746i 0.920512 + 0.390715i \(0.127772\pi\)
0.255736 + 0.966747i \(0.417682\pi\)
\(762\) −0.128142 + 1.89142i −0.00464208 + 0.0685189i
\(763\) 22.5760 + 3.24594i 0.817307 + 0.117511i
\(764\) 13.1781 + 20.1709i 0.476768 + 0.729759i
\(765\) 12.3650 1.77782i 0.447057 0.0642772i
\(766\) 11.5906 2.56699i 0.418786 0.0927492i
\(767\) −1.60280 + 1.03006i −0.0578737 + 0.0371932i
\(768\) −4.04468 + 15.4803i −0.145950 + 0.558598i
\(769\) 11.2603 3.30633i 0.406058 0.119229i −0.0723242 0.997381i \(-0.523042\pi\)
0.478382 + 0.878152i \(0.341223\pi\)
\(770\) 9.53142 44.6211i 0.343489 1.60803i
\(771\) 12.8704 + 11.1523i 0.463517 + 0.401640i
\(772\) −15.0302 + 52.6474i −0.540950 + 1.89482i
\(773\) 9.09601 4.15401i 0.327161 0.149409i −0.245062 0.969507i \(-0.578808\pi\)
0.572223 + 0.820098i \(