Properties

Label 260.2.o.a.183.35
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.o (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 183.35
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.35

$q$-expansion

\(f(q)\) \(=\) \(q+(1.38346 - 0.293307i) q^{2} +(-1.30064 + 1.30064i) q^{3} +(1.82794 - 0.811558i) q^{4} +(-2.07556 + 0.831896i) q^{5} +(-1.41790 + 2.18087i) q^{6} +(2.44850 + 2.44850i) q^{7} +(2.29086 - 1.65891i) q^{8} -0.383307i q^{9} +O(q^{10})\) \(q+(1.38346 - 0.293307i) q^{2} +(-1.30064 + 1.30064i) q^{3} +(1.82794 - 0.811558i) q^{4} +(-2.07556 + 0.831896i) q^{5} +(-1.41790 + 2.18087i) q^{6} +(2.44850 + 2.44850i) q^{7} +(2.29086 - 1.65891i) q^{8} -0.383307i q^{9} +(-2.62746 + 1.75967i) q^{10} +4.04492i q^{11} +(-1.32195 + 3.43303i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(4.10558 + 2.66925i) q^{14} +(1.61755 - 3.78154i) q^{15} +(2.68275 - 2.96696i) q^{16} +(5.07945 - 5.07945i) q^{17} +(-0.112426 - 0.530291i) q^{18} -3.28931 q^{19} +(-3.11887 + 3.20510i) q^{20} -6.36922 q^{21} +(1.18640 + 5.59600i) q^{22} +(-1.98605 + 1.98605i) q^{23} +(-0.821932 + 5.13721i) q^{24} +(3.61590 - 3.45330i) q^{25} +(-1.18566 - 0.770857i) q^{26} +(-3.40336 - 3.40336i) q^{27} +(6.46282 + 2.48862i) q^{28} +5.17756i q^{29} +(1.12868 - 5.70606i) q^{30} -5.36907i q^{31} +(2.84125 - 4.89155i) q^{32} +(-5.26096 - 5.26096i) q^{33} +(5.53740 - 8.51707i) q^{34} +(-7.11891 - 3.04511i) q^{35} +(-0.311076 - 0.700662i) q^{36} +(5.53799 - 5.53799i) q^{37} +(-4.55063 + 0.964776i) q^{38} +1.83938 q^{39} +(-3.37477 + 5.34892i) q^{40} -9.24262 q^{41} +(-8.81158 + 1.86814i) q^{42} +(6.42292 - 6.42292i) q^{43} +(3.28269 + 7.39388i) q^{44} +(0.318871 + 0.795576i) q^{45} +(-2.16511 + 3.33016i) q^{46} +(1.30528 + 1.30528i) q^{47} +(0.369664 + 7.34821i) q^{48} +4.99032i q^{49} +(3.98959 - 5.83808i) q^{50} +13.2130i q^{51} +(-1.86641 - 0.718692i) q^{52} +(-3.32666 - 3.32666i) q^{53} +(-5.70666 - 3.71020i) q^{54} +(-3.36495 - 8.39547i) q^{55} +(9.67101 + 1.54732i) q^{56} +(4.27819 - 4.27819i) q^{57} +(1.51861 + 7.16297i) q^{58} +4.58583 q^{59} +(-0.112145 - 8.22518i) q^{60} +6.40427 q^{61} +(-1.57478 - 7.42791i) q^{62} +(0.938527 - 0.938527i) q^{63} +(2.49604 - 7.60064i) q^{64} +(2.05588 + 0.879404i) q^{65} +(-8.82143 - 5.73528i) q^{66} +(-3.98978 - 3.98978i) q^{67} +(5.16267 - 13.4072i) q^{68} -5.16627i q^{69} +(-10.7419 - 2.12478i) q^{70} +8.66139i q^{71} +(-0.635871 - 0.878100i) q^{72} +(8.05408 + 8.05408i) q^{73} +(6.03728 - 9.28593i) q^{74} +(-0.211484 + 9.19445i) q^{75} +(-6.01266 + 2.66946i) q^{76} +(-9.90399 + 9.90399i) q^{77} +(2.54471 - 0.539502i) q^{78} +1.43474 q^{79} +(-3.10000 + 8.38988i) q^{80} +10.0030 q^{81} +(-12.7868 + 2.71092i) q^{82} +(-5.26584 + 5.26584i) q^{83} +(-11.6426 + 5.16899i) q^{84} +(-6.31713 + 14.7683i) q^{85} +(7.00199 - 10.7698i) q^{86} +(-6.73412 - 6.73412i) q^{87} +(6.71015 + 9.26632i) q^{88} -8.95535i q^{89} +(0.674494 + 1.00712i) q^{90} -3.46270i q^{91} +(-2.01859 + 5.24219i) q^{92} +(6.98320 + 6.98320i) q^{93} +(2.18865 + 1.42296i) q^{94} +(6.82715 - 2.73636i) q^{95} +(2.66670 + 10.0576i) q^{96} +(0.869405 - 0.869405i) q^{97} +(1.46370 + 6.90393i) q^{98} +1.55044 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.38346 0.293307i 0.978256 0.207399i
\(3\) −1.30064 + 1.30064i −0.750922 + 0.750922i −0.974651 0.223729i \(-0.928177\pi\)
0.223729 + 0.974651i \(0.428177\pi\)
\(4\) 1.82794 0.811558i 0.913971 0.405779i
\(5\) −2.07556 + 0.831896i −0.928219 + 0.372035i
\(6\) −1.41790 + 2.18087i −0.578854 + 0.890335i
\(7\) 2.44850 + 2.44850i 0.925447 + 0.925447i 0.997407 0.0719607i \(-0.0229256\pi\)
−0.0719607 + 0.997407i \(0.522926\pi\)
\(8\) 2.29086 1.65891i 0.809940 0.586513i
\(9\) 0.383307i 0.127769i
\(10\) −2.62746 + 1.75967i −0.830876 + 0.556457i
\(11\) 4.04492i 1.21959i 0.792560 + 0.609794i \(0.208748\pi\)
−0.792560 + 0.609794i \(0.791252\pi\)
\(12\) −1.32195 + 3.43303i −0.381613 + 0.991030i
\(13\) −0.707107 0.707107i −0.196116 0.196116i
\(14\) 4.10558 + 2.66925i 1.09726 + 0.713387i
\(15\) 1.61755 3.78154i 0.417651 0.976390i
\(16\) 2.68275 2.96696i 0.670686 0.741741i
\(17\) 5.07945 5.07945i 1.23195 1.23195i 0.268734 0.963215i \(-0.413395\pi\)
0.963215 0.268734i \(-0.0866051\pi\)
\(18\) −0.112426 0.530291i −0.0264992 0.124991i
\(19\) −3.28931 −0.754618 −0.377309 0.926087i \(-0.623151\pi\)
−0.377309 + 0.926087i \(0.623151\pi\)
\(20\) −3.11887 + 3.20510i −0.697401 + 0.716681i
\(21\) −6.36922 −1.38988
\(22\) 1.18640 + 5.59600i 0.252942 + 1.19307i
\(23\) −1.98605 + 1.98605i −0.414121 + 0.414121i −0.883171 0.469050i \(-0.844596\pi\)
0.469050 + 0.883171i \(0.344596\pi\)
\(24\) −0.821932 + 5.13721i −0.167776 + 1.04863i
\(25\) 3.61590 3.45330i 0.723180 0.690660i
\(26\) −1.18566 0.770857i −0.232526 0.151178i
\(27\) −3.40336 3.40336i −0.654978 0.654978i
\(28\) 6.46282 + 2.48862i 1.22136 + 0.470305i
\(29\) 5.17756i 0.961449i 0.876872 + 0.480725i \(0.159626\pi\)
−0.876872 + 0.480725i \(0.840374\pi\)
\(30\) 1.12868 5.70606i 0.206067 1.04178i
\(31\) 5.36907i 0.964313i −0.876085 0.482156i \(-0.839854\pi\)
0.876085 0.482156i \(-0.160146\pi\)
\(32\) 2.84125 4.89155i 0.502267 0.864713i
\(33\) −5.26096 5.26096i −0.915816 0.915816i
\(34\) 5.53740 8.51707i 0.949656 1.46067i
\(35\) −7.11891 3.04511i −1.20332 0.514718i
\(36\) −0.311076 0.700662i −0.0518460 0.116777i
\(37\) 5.53799 5.53799i 0.910440 0.910440i −0.0858669 0.996307i \(-0.527366\pi\)
0.996307 + 0.0858669i \(0.0273660\pi\)
\(38\) −4.55063 + 0.964776i −0.738210 + 0.156507i
\(39\) 1.83938 0.294536
\(40\) −3.37477 + 5.34892i −0.533598 + 0.845738i
\(41\) −9.24262 −1.44345 −0.721727 0.692178i \(-0.756652\pi\)
−0.721727 + 0.692178i \(0.756652\pi\)
\(42\) −8.81158 + 1.86814i −1.35966 + 0.288259i
\(43\) 6.42292 6.42292i 0.979487 0.979487i −0.0203072 0.999794i \(-0.506464\pi\)
0.999794 + 0.0203072i \(0.00646443\pi\)
\(44\) 3.28269 + 7.39388i 0.494884 + 1.11467i
\(45\) 0.318871 + 0.795576i 0.0475345 + 0.118597i
\(46\) −2.16511 + 3.33016i −0.319228 + 0.491005i
\(47\) 1.30528 + 1.30528i 0.190394 + 0.190394i 0.795867 0.605472i \(-0.207016\pi\)
−0.605472 + 0.795867i \(0.707016\pi\)
\(48\) 0.369664 + 7.34821i 0.0533565 + 1.06062i
\(49\) 4.99032i 0.712903i
\(50\) 3.98959 5.83808i 0.564213 0.825629i
\(51\) 13.2130i 1.85019i
\(52\) −1.86641 0.718692i −0.258824 0.0996646i
\(53\) −3.32666 3.32666i −0.456951 0.456951i 0.440702 0.897653i \(-0.354729\pi\)
−0.897653 + 0.440702i \(0.854729\pi\)
\(54\) −5.70666 3.71020i −0.776578 0.504894i
\(55\) −3.36495 8.39547i −0.453730 1.13204i
\(56\) 9.67101 + 1.54732i 1.29234 + 0.206770i
\(57\) 4.27819 4.27819i 0.566660 0.566660i
\(58\) 1.51861 + 7.16297i 0.199404 + 0.940544i
\(59\) 4.58583 0.597024 0.298512 0.954406i \(-0.403510\pi\)
0.298512 + 0.954406i \(0.403510\pi\)
\(60\) −0.112145 8.22518i −0.0144779 1.06187i
\(61\) 6.40427 0.819983 0.409991 0.912089i \(-0.365532\pi\)
0.409991 + 0.912089i \(0.365532\pi\)
\(62\) −1.57478 7.42791i −0.199998 0.943345i
\(63\) 0.938527 0.938527i 0.118243 0.118243i
\(64\) 2.49604 7.60064i 0.312005 0.950080i
\(65\) 2.05588 + 0.879404i 0.255001 + 0.109077i
\(66\) −8.82143 5.73528i −1.08584 0.705964i
\(67\) −3.98978 3.98978i −0.487429 0.487429i 0.420065 0.907494i \(-0.362007\pi\)
−0.907494 + 0.420065i \(0.862007\pi\)
\(68\) 5.16267 13.4072i 0.626066 1.62586i
\(69\) 5.16627i 0.621945i
\(70\) −10.7419 2.12478i −1.28390 0.253960i
\(71\) 8.66139i 1.02792i 0.857815 + 0.513959i \(0.171822\pi\)
−0.857815 + 0.513959i \(0.828178\pi\)
\(72\) −0.635871 0.878100i −0.0749381 0.103485i
\(73\) 8.05408 + 8.05408i 0.942658 + 0.942658i 0.998443 0.0557846i \(-0.0177660\pi\)
−0.0557846 + 0.998443i \(0.517766\pi\)
\(74\) 6.03728 9.28593i 0.701819 1.07947i
\(75\) −0.211484 + 9.19445i −0.0244201 + 1.06168i
\(76\) −6.01266 + 2.66946i −0.689699 + 0.306208i
\(77\) −9.90399 + 9.90399i −1.12866 + 1.12866i
\(78\) 2.54471 0.539502i 0.288132 0.0610865i
\(79\) 1.43474 0.161421 0.0807105 0.996738i \(-0.474281\pi\)
0.0807105 + 0.996738i \(0.474281\pi\)
\(80\) −3.10000 + 8.38988i −0.346590 + 0.938017i
\(81\) 10.0030 1.11144
\(82\) −12.7868 + 2.71092i −1.41207 + 0.299371i
\(83\) −5.26584 + 5.26584i −0.578001 + 0.578001i −0.934352 0.356351i \(-0.884021\pi\)
0.356351 + 0.934352i \(0.384021\pi\)
\(84\) −11.6426 + 5.16899i −1.27031 + 0.563983i
\(85\) −6.31713 + 14.7683i −0.685189 + 1.60185i
\(86\) 7.00199 10.7698i 0.755044 1.16133i
\(87\) −6.73412 6.73412i −0.721974 0.721974i
\(88\) 6.71015 + 9.26632i 0.715305 + 0.987793i
\(89\) 8.95535i 0.949266i −0.880184 0.474633i \(-0.842581\pi\)
0.880184 0.474633i \(-0.157419\pi\)
\(90\) 0.674494 + 1.00712i 0.0710980 + 0.106160i
\(91\) 3.46270i 0.362990i
\(92\) −2.01859 + 5.24219i −0.210453 + 0.546536i
\(93\) 6.98320 + 6.98320i 0.724124 + 0.724124i
\(94\) 2.18865 + 1.42296i 0.225742 + 0.146767i
\(95\) 6.82715 2.73636i 0.700451 0.280744i
\(96\) 2.66670 + 10.0576i 0.272169 + 1.02650i
\(97\) 0.869405 0.869405i 0.0882747 0.0882747i −0.661591 0.749865i \(-0.730118\pi\)
0.749865 + 0.661591i \(0.230118\pi\)
\(98\) 1.46370 + 6.90393i 0.147856 + 0.697402i
\(99\) 1.55044 0.155825
\(100\) 3.80710 9.24694i 0.380710 0.924694i
\(101\) −6.55124 −0.651872 −0.325936 0.945392i \(-0.605679\pi\)
−0.325936 + 0.945392i \(0.605679\pi\)
\(102\) 3.87547 + 18.2797i 0.383729 + 1.80996i
\(103\) −5.55670 + 5.55670i −0.547518 + 0.547518i −0.925722 0.378204i \(-0.876542\pi\)
0.378204 + 0.925722i \(0.376542\pi\)
\(104\) −2.79291 0.446854i −0.273867 0.0438176i
\(105\) 13.2197 5.29853i 1.29011 0.517083i
\(106\) −5.57804 3.62658i −0.541787 0.352244i
\(107\) −1.32934 1.32934i −0.128512 0.128512i 0.639925 0.768437i \(-0.278965\pi\)
−0.768437 + 0.639925i \(0.778965\pi\)
\(108\) −8.98318 3.45912i −0.864407 0.332854i
\(109\) 13.9365i 1.33488i 0.744664 + 0.667439i \(0.232610\pi\)
−0.744664 + 0.667439i \(0.767390\pi\)
\(110\) −7.11773 10.6279i −0.678649 1.01333i
\(111\) 14.4058i 1.36734i
\(112\) 13.8333 0.695909i 1.30713 0.0657572i
\(113\) −4.38056 4.38056i −0.412089 0.412089i 0.470377 0.882466i \(-0.344118\pi\)
−0.882466 + 0.470377i \(0.844118\pi\)
\(114\) 4.66390 7.17354i 0.436814 0.671863i
\(115\) 2.46999 5.77437i 0.230327 0.538462i
\(116\) 4.20190 + 9.46429i 0.390136 + 0.878737i
\(117\) −0.271039 + 0.271039i −0.0250575 + 0.0250575i
\(118\) 6.34433 1.34506i 0.584043 0.123822i
\(119\) 24.8741 2.28020
\(120\) −2.56765 11.3463i −0.234393 1.03577i
\(121\) −5.36136 −0.487396
\(122\) 8.86007 1.87842i 0.802153 0.170064i
\(123\) 12.0213 12.0213i 1.08392 1.08392i
\(124\) −4.35731 9.81434i −0.391298 0.881354i
\(125\) −4.63223 + 10.1756i −0.414319 + 0.910132i
\(126\) 1.02314 1.57369i 0.0911487 0.140196i
\(127\) −5.18321 5.18321i −0.459935 0.459935i 0.438699 0.898634i \(-0.355439\pi\)
−0.898634 + 0.438699i \(0.855439\pi\)
\(128\) 1.22386 11.2473i 0.108175 0.994132i
\(129\) 16.7078i 1.47104i
\(130\) 3.10217 + 0.613619i 0.272078 + 0.0538179i
\(131\) 4.49467i 0.392701i −0.980534 0.196350i \(-0.937091\pi\)
0.980534 0.196350i \(-0.0629090\pi\)
\(132\) −13.8863 5.34716i −1.20865 0.465410i
\(133\) −8.05387 8.05387i −0.698359 0.698359i
\(134\) −6.68994 4.34948i −0.577923 0.375738i
\(135\) 9.89513 + 4.23264i 0.851637 + 0.364288i
\(136\) 3.20994 20.0626i 0.275250 1.72036i
\(137\) 3.56651 3.56651i 0.304707 0.304707i −0.538145 0.842852i \(-0.680875\pi\)
0.842852 + 0.538145i \(0.180875\pi\)
\(138\) −1.51530 7.14734i −0.128991 0.608422i
\(139\) −7.66785 −0.650378 −0.325189 0.945649i \(-0.605428\pi\)
−0.325189 + 0.945649i \(0.605428\pi\)
\(140\) −15.4842 + 0.211118i −1.30866 + 0.0178428i
\(141\) −3.39538 −0.285943
\(142\) 2.54044 + 11.9827i 0.213189 + 1.00557i
\(143\) 2.86019 2.86019i 0.239181 0.239181i
\(144\) −1.13726 1.02831i −0.0947714 0.0856929i
\(145\) −4.30719 10.7463i −0.357693 0.892435i
\(146\) 13.5048 + 8.78020i 1.11767 + 0.726655i
\(147\) −6.49059 6.49059i −0.535335 0.535335i
\(148\) 5.62872 14.6175i 0.462678 1.20155i
\(149\) 6.55325i 0.536863i 0.963299 + 0.268432i \(0.0865053\pi\)
−0.963299 + 0.268432i \(0.913495\pi\)
\(150\) 2.40421 + 12.7822i 0.196303 + 1.04366i
\(151\) 4.41532i 0.359313i 0.983729 + 0.179657i \(0.0574987\pi\)
−0.983729 + 0.179657i \(0.942501\pi\)
\(152\) −7.53532 + 5.45666i −0.611195 + 0.442593i
\(153\) −1.94699 1.94699i −0.157405 0.157405i
\(154\) −10.7969 + 16.6067i −0.870039 + 1.33821i
\(155\) 4.46650 + 11.1438i 0.358758 + 0.895093i
\(156\) 3.36227 1.49276i 0.269197 0.119517i
\(157\) 5.29541 5.29541i 0.422620 0.422620i −0.463485 0.886105i \(-0.653401\pi\)
0.886105 + 0.463485i \(0.153401\pi\)
\(158\) 1.98491 0.420819i 0.157911 0.0334786i
\(159\) 8.65353 0.686270
\(160\) −1.82792 + 12.5163i −0.144510 + 0.989503i
\(161\) −9.72572 −0.766494
\(162\) 13.8388 2.93395i 1.08728 0.230513i
\(163\) 13.9615 13.9615i 1.09355 1.09355i 0.0984035 0.995147i \(-0.468626\pi\)
0.995147 0.0984035i \(-0.0313736\pi\)
\(164\) −16.8950 + 7.50093i −1.31928 + 0.585724i
\(165\) 15.2960 + 6.54287i 1.19079 + 0.509362i
\(166\) −5.74059 + 8.82960i −0.445556 + 0.685310i
\(167\) −0.479622 0.479622i −0.0371143 0.0371143i 0.688306 0.725420i \(-0.258355\pi\)
−0.725420 + 0.688306i \(0.758355\pi\)
\(168\) −14.5910 + 10.5660i −1.12572 + 0.815181i
\(169\) 1.00000i 0.0769231i
\(170\) −4.40789 + 22.2842i −0.338069 + 1.70912i
\(171\) 1.26081i 0.0964168i
\(172\) 6.52815 16.9533i 0.497767 1.29268i
\(173\) 7.85353 + 7.85353i 0.597093 + 0.597093i 0.939538 0.342445i \(-0.111255\pi\)
−0.342445 + 0.939538i \(0.611255\pi\)
\(174\) −11.2916 7.34125i −0.856012 0.556539i
\(175\) 17.3089 + 0.398128i 1.30843 + 0.0300956i
\(176\) 12.0011 + 10.8515i 0.904619 + 0.817962i
\(177\) −5.96450 + 5.96450i −0.448319 + 0.448319i
\(178\) −2.62667 12.3894i −0.196877 0.928625i
\(179\) −8.22537 −0.614793 −0.307397 0.951582i \(-0.599458\pi\)
−0.307397 + 0.951582i \(0.599458\pi\)
\(180\) 1.22853 + 1.19548i 0.0915696 + 0.0891062i
\(181\) −12.1292 −0.901555 −0.450778 0.892636i \(-0.648853\pi\)
−0.450778 + 0.892636i \(0.648853\pi\)
\(182\) −1.01563 4.79053i −0.0752839 0.355097i
\(183\) −8.32962 + 8.32962i −0.615743 + 0.615743i
\(184\) −1.25508 + 7.84445i −0.0925257 + 0.578300i
\(185\) −6.88740 + 16.1015i −0.506372 + 1.18380i
\(186\) 11.7092 + 7.61278i 0.858562 + 0.558196i
\(187\) 20.5460 + 20.5460i 1.50247 + 1.50247i
\(188\) 3.44528 + 1.32666i 0.251273 + 0.0967569i
\(189\) 16.6663i 1.21229i
\(190\) 8.64252 5.78810i 0.626994 0.419913i
\(191\) 7.58940i 0.549150i −0.961566 0.274575i \(-0.911463\pi\)
0.961566 0.274575i \(-0.0885371\pi\)
\(192\) 6.63923 + 13.1321i 0.479145 + 0.947728i
\(193\) 1.87226 + 1.87226i 0.134769 + 0.134769i 0.771273 0.636504i \(-0.219620\pi\)
−0.636504 + 0.771273i \(0.719620\pi\)
\(194\) 0.947788 1.45779i 0.0680472 0.104663i
\(195\) −3.81774 + 1.53017i −0.273394 + 0.109578i
\(196\) 4.04994 + 9.12202i 0.289281 + 0.651573i
\(197\) 1.75492 1.75492i 0.125033 0.125033i −0.641821 0.766854i \(-0.721821\pi\)
0.766854 + 0.641821i \(0.221821\pi\)
\(198\) 2.14498 0.454756i 0.152437 0.0323181i
\(199\) −17.3332 −1.22871 −0.614357 0.789028i \(-0.710585\pi\)
−0.614357 + 0.789028i \(0.710585\pi\)
\(200\) 2.55479 13.9095i 0.180651 0.983547i
\(201\) 10.3785 0.732043
\(202\) −9.06340 + 1.92152i −0.637698 + 0.135198i
\(203\) −12.6773 + 12.6773i −0.889770 + 0.889770i
\(204\) 10.7231 + 24.1527i 0.750771 + 1.69102i
\(205\) 19.1836 7.68889i 1.33984 0.537016i
\(206\) −6.05767 + 9.31731i −0.422058 + 0.649168i
\(207\) 0.761268 + 0.761268i 0.0529118 + 0.0529118i
\(208\) −3.99495 + 0.200973i −0.277000 + 0.0139349i
\(209\) 13.3050i 0.920324i
\(210\) 16.7349 11.2077i 1.15482 0.773408i
\(211\) 23.7012i 1.63166i −0.578293 0.815829i \(-0.696281\pi\)
0.578293 0.815829i \(-0.303719\pi\)
\(212\) −8.78071 3.38116i −0.603062 0.232219i
\(213\) −11.2653 11.2653i −0.771887 0.771887i
\(214\) −2.22900 1.44919i −0.152371 0.0990645i
\(215\) −7.98796 + 18.6744i −0.544774 + 1.27358i
\(216\) −13.4425 2.15074i −0.914646 0.146340i
\(217\) 13.1462 13.1462i 0.892420 0.892420i
\(218\) 4.08768 + 19.2807i 0.276853 + 1.30585i
\(219\) −20.9508 −1.41573
\(220\) −12.9643 12.6156i −0.874056 0.850542i
\(221\) −7.18343 −0.483210
\(222\) 4.22532 + 19.9299i 0.283585 + 1.33761i
\(223\) −19.9355 + 19.9355i −1.33498 + 1.33498i −0.434134 + 0.900848i \(0.642945\pi\)
−0.900848 + 0.434134i \(0.857055\pi\)
\(224\) 18.9338 5.02017i 1.26507 0.335424i
\(225\) −1.32367 1.38600i −0.0882448 0.0923999i
\(226\) −7.34520 4.77550i −0.488595 0.317662i
\(227\) −20.7704 20.7704i −1.37858 1.37858i −0.847026 0.531552i \(-0.821609\pi\)
−0.531552 0.847026i \(-0.678391\pi\)
\(228\) 4.34828 11.2923i 0.287972 0.747850i
\(229\) 17.0966i 1.12977i 0.825168 + 0.564887i \(0.191080\pi\)
−0.825168 + 0.564887i \(0.808920\pi\)
\(230\) 1.72347 8.71309i 0.113642 0.574524i
\(231\) 25.7630i 1.69508i
\(232\) 8.58911 + 11.8611i 0.563903 + 0.778716i
\(233\) −10.6350 10.6350i −0.696720 0.696720i 0.266982 0.963702i \(-0.413974\pi\)
−0.963702 + 0.266982i \(0.913974\pi\)
\(234\) −0.295475 + 0.454470i −0.0193158 + 0.0297096i
\(235\) −3.79504 1.62333i −0.247561 0.105894i
\(236\) 8.38264 3.72167i 0.545663 0.242260i
\(237\) −1.86607 + 1.86607i −0.121215 + 0.121215i
\(238\) 34.4124 7.29574i 2.23062 0.472913i
\(239\) −10.4291 −0.674601 −0.337301 0.941397i \(-0.609514\pi\)
−0.337301 + 0.941397i \(0.609514\pi\)
\(240\) −6.88021 14.9441i −0.444116 0.964640i
\(241\) −0.787159 −0.0507054 −0.0253527 0.999679i \(-0.508071\pi\)
−0.0253527 + 0.999679i \(0.508071\pi\)
\(242\) −7.41724 + 1.57252i −0.476799 + 0.101086i
\(243\) −2.80016 + 2.80016i −0.179630 + 0.179630i
\(244\) 11.7066 5.19744i 0.749440 0.332732i
\(245\) −4.15143 10.3577i −0.265225 0.661730i
\(246\) 13.1051 20.1569i 0.835549 1.28516i
\(247\) 2.32589 + 2.32589i 0.147993 + 0.147993i
\(248\) −8.90680 12.2998i −0.565582 0.781035i
\(249\) 13.6979i 0.868067i
\(250\) −3.42396 + 15.4362i −0.216550 + 0.976272i
\(251\) 1.87578i 0.118398i −0.998246 0.0591990i \(-0.981145\pi\)
0.998246 0.0591990i \(-0.0188546\pi\)
\(252\) 0.953904 2.47724i 0.0600903 0.156052i
\(253\) −8.03343 8.03343i −0.505057 0.505057i
\(254\) −8.69105 5.65051i −0.545325 0.354544i
\(255\) −10.9919 27.4244i −0.688337 1.71739i
\(256\) −1.60575 15.9192i −0.100359 0.994951i
\(257\) 18.7433 18.7433i 1.16917 1.16917i 0.186771 0.982404i \(-0.440198\pi\)
0.982404 0.186771i \(-0.0598022\pi\)
\(258\) 4.90050 + 23.1146i 0.305092 + 1.43905i
\(259\) 27.1196 1.68513
\(260\) 4.47172 0.0609692i 0.277324 0.00378115i
\(261\) 1.98459 0.122843
\(262\) −1.31832 6.21821i −0.0814458 0.384162i
\(263\) −17.1908 + 17.1908i −1.06003 + 1.06003i −0.0619500 + 0.998079i \(0.519732\pi\)
−0.998079 + 0.0619500i \(0.980268\pi\)
\(264\) −20.7796 3.32465i −1.27889 0.204618i
\(265\) 9.67210 + 4.13724i 0.594153 + 0.254149i
\(266\) −13.5045 8.77998i −0.828013 0.538335i
\(267\) 11.6477 + 11.6477i 0.712825 + 0.712825i
\(268\) −10.5310 4.05515i −0.643285 0.247708i
\(269\) 1.97488i 0.120410i 0.998186 + 0.0602052i \(0.0191755\pi\)
−0.998186 + 0.0602052i \(0.980825\pi\)
\(270\) 14.9310 + 2.95340i 0.908673 + 0.179738i
\(271\) 7.20848i 0.437884i −0.975738 0.218942i \(-0.929739\pi\)
0.975738 0.218942i \(-0.0702605\pi\)
\(272\) −1.44367 28.6974i −0.0875355 1.74004i
\(273\) 4.50372 + 4.50372i 0.272577 + 0.272577i
\(274\) 3.88805 5.98022i 0.234886 0.361278i
\(275\) 13.9683 + 14.6260i 0.842321 + 0.881982i
\(276\) −4.19273 9.44364i −0.252373 0.568440i
\(277\) −3.84054 + 3.84054i −0.230756 + 0.230756i −0.813008 0.582252i \(-0.802172\pi\)
0.582252 + 0.813008i \(0.302172\pi\)
\(278\) −10.6082 + 2.24903i −0.636237 + 0.134888i
\(279\) −2.05800 −0.123209
\(280\) −21.3600 + 4.83371i −1.27650 + 0.288869i
\(281\) −20.4586 −1.22046 −0.610229 0.792225i \(-0.708923\pi\)
−0.610229 + 0.792225i \(0.708923\pi\)
\(282\) −4.69739 + 0.995889i −0.279725 + 0.0593043i
\(283\) 6.85477 6.85477i 0.407474 0.407474i −0.473383 0.880857i \(-0.656967\pi\)
0.880857 + 0.473383i \(0.156967\pi\)
\(284\) 7.02922 + 15.8325i 0.417108 + 0.939487i
\(285\) −5.32063 + 12.4386i −0.315167 + 0.736802i
\(286\) 3.11805 4.79588i 0.184374 0.283586i
\(287\) −22.6306 22.6306i −1.33584 1.33584i
\(288\) −1.87497 1.08907i −0.110483 0.0641741i
\(289\) 34.6017i 2.03539i
\(290\) −9.11082 13.6038i −0.535006 0.798845i
\(291\) 2.26156i 0.132575i
\(292\) 21.2587 + 8.18603i 1.24407 + 0.479051i
\(293\) −0.877370 0.877370i −0.0512565 0.0512565i 0.681014 0.732270i \(-0.261539\pi\)
−0.732270 + 0.681014i \(0.761539\pi\)
\(294\) −10.8832 7.07576i −0.634723 0.412667i
\(295\) −9.51817 + 3.81493i −0.554169 + 0.222114i
\(296\) 3.49971 21.8738i 0.203417 1.27139i
\(297\) 13.7663 13.7663i 0.798804 0.798804i
\(298\) 1.92211 + 9.06618i 0.111345 + 0.525190i
\(299\) 2.80871 0.162432
\(300\) 7.07525 + 16.9786i 0.408490 + 0.980258i
\(301\) 31.4531 1.81293
\(302\) 1.29504 + 6.10843i 0.0745213 + 0.351501i
\(303\) 8.52077 8.52077i 0.489506 0.489506i
\(304\) −8.82437 + 9.75925i −0.506112 + 0.559731i
\(305\) −13.2924 + 5.32768i −0.761123 + 0.305062i
\(306\) −3.26465 2.12252i −0.186628 0.121337i
\(307\) 20.5875 + 20.5875i 1.17499 + 1.17499i 0.981004 + 0.193990i \(0.0621428\pi\)
0.193990 + 0.981004i \(0.437857\pi\)
\(308\) −10.0663 + 26.1416i −0.573578 + 1.48956i
\(309\) 14.4545i 0.822287i
\(310\) 9.44780 + 14.1070i 0.536599 + 0.801225i
\(311\) 9.63704i 0.546467i 0.961948 + 0.273233i \(0.0880931\pi\)
−0.961948 + 0.273233i \(0.911907\pi\)
\(312\) 4.21375 3.05136i 0.238556 0.172749i
\(313\) 8.99972 + 8.99972i 0.508694 + 0.508694i 0.914126 0.405431i \(-0.132879\pi\)
−0.405431 + 0.914126i \(0.632879\pi\)
\(314\) 5.77283 8.87919i 0.325780 0.501082i
\(315\) −1.16721 + 2.72873i −0.0657650 + 0.153746i
\(316\) 2.62262 1.16438i 0.147534 0.0655013i
\(317\) −20.0235 + 20.0235i −1.12463 + 1.12463i −0.133596 + 0.991036i \(0.542652\pi\)
−0.991036 + 0.133596i \(0.957348\pi\)
\(318\) 11.9718 2.53814i 0.671348 0.142332i
\(319\) −20.9428 −1.17257
\(320\) 1.14226 + 17.8520i 0.0638544 + 0.997959i
\(321\) 3.45798 0.193005
\(322\) −13.4552 + 2.85262i −0.749827 + 0.158970i
\(323\) −16.7079 + 16.7079i −0.929651 + 0.929651i
\(324\) 18.2849 8.11802i 1.01583 0.451001i
\(325\) −4.99868 0.114976i −0.277277 0.00637772i
\(326\) 15.2202 23.4103i 0.842971 1.29657i
\(327\) −18.1264 18.1264i −1.00239 1.00239i
\(328\) −21.1735 + 15.3327i −1.16911 + 0.846605i
\(329\) 6.39195i 0.352400i
\(330\) 23.0806 + 4.56540i 1.27054 + 0.251317i
\(331\) 5.51957i 0.303383i 0.988428 + 0.151691i \(0.0484720\pi\)
−0.988428 + 0.151691i \(0.951528\pi\)
\(332\) −5.35211 + 13.8992i −0.293735 + 0.762816i
\(333\) −2.12275 2.12275i −0.116326 0.116326i
\(334\) −0.804216 0.522863i −0.0440047 0.0286098i
\(335\) 11.6001 + 4.96195i 0.633782 + 0.271100i
\(336\) −17.0870 + 18.8972i −0.932172 + 1.03093i
\(337\) −16.1027 + 16.1027i −0.877168 + 0.877168i −0.993241 0.116073i \(-0.962969\pi\)
0.116073 + 0.993241i \(0.462969\pi\)
\(338\) 0.293307 + 1.38346i 0.0159538 + 0.0752505i
\(339\) 11.3950 0.618893
\(340\) 0.437968 + 32.1223i 0.0237521 + 1.74208i
\(341\) 21.7174 1.17607
\(342\) 0.369805 + 1.74429i 0.0199968 + 0.0943203i
\(343\) 4.92070 4.92070i 0.265693 0.265693i
\(344\) 4.05894 25.3690i 0.218844 1.36781i
\(345\) 4.29779 + 10.7229i 0.231385 + 0.577301i
\(346\) 13.1686 + 8.56158i 0.707946 + 0.460273i
\(347\) 17.6205 + 17.6205i 0.945919 + 0.945919i 0.998611 0.0526918i \(-0.0167801\pi\)
−0.0526918 + 0.998611i \(0.516780\pi\)
\(348\) −17.7747 6.84446i −0.952825 0.366901i
\(349\) 2.32443i 0.124424i 0.998063 + 0.0622120i \(0.0198155\pi\)
−0.998063 + 0.0622120i \(0.980185\pi\)
\(350\) 24.0631 4.52604i 1.28623 0.241927i
\(351\) 4.81308i 0.256903i
\(352\) 19.7859 + 11.4926i 1.05459 + 0.612559i
\(353\) 12.1932 + 12.1932i 0.648976 + 0.648976i 0.952746 0.303769i \(-0.0982452\pi\)
−0.303769 + 0.952746i \(0.598245\pi\)
\(354\) −6.50224 + 10.0011i −0.345590 + 0.531552i
\(355\) −7.20537 17.9772i −0.382421 0.954133i
\(356\) −7.26779 16.3699i −0.385192 0.867601i
\(357\) −32.3521 + 32.3521i −1.71226 + 1.71226i
\(358\) −11.3795 + 2.41256i −0.601425 + 0.127508i
\(359\) 27.6037 1.45687 0.728433 0.685117i \(-0.240249\pi\)
0.728433 + 0.685117i \(0.240249\pi\)
\(360\) 2.05028 + 1.29357i 0.108059 + 0.0681772i
\(361\) −8.18047 −0.430551
\(362\) −16.7803 + 3.55757i −0.881952 + 0.186982i
\(363\) 6.97317 6.97317i 0.365997 0.365997i
\(364\) −2.81019 6.32962i −0.147294 0.331762i
\(365\) −23.4169 10.0166i −1.22569 0.524291i
\(366\) −9.08059 + 13.9669i −0.474650 + 0.730060i
\(367\) 7.66039 + 7.66039i 0.399869 + 0.399869i 0.878187 0.478318i \(-0.158753\pi\)
−0.478318 + 0.878187i \(0.658753\pi\)
\(368\) 0.564473 + 11.2206i 0.0294252 + 0.584916i
\(369\) 3.54276i 0.184429i
\(370\) −4.80580 + 24.2959i −0.249842 + 1.26308i
\(371\) 16.2906i 0.845768i
\(372\) 18.4322 + 7.09761i 0.955663 + 0.367994i
\(373\) −23.0212 23.0212i −1.19199 1.19199i −0.976506 0.215488i \(-0.930866\pi\)
−0.215488 0.976506i \(-0.569134\pi\)
\(374\) 34.4509 + 22.3983i 1.78141 + 1.15819i
\(375\) −7.20988 19.2596i −0.372316 0.994560i
\(376\) 5.15554 + 0.824866i 0.265877 + 0.0425392i
\(377\) 3.66109 3.66109i 0.188556 0.188556i
\(378\) −4.88834 23.0572i −0.251429 1.18593i
\(379\) −27.4799 −1.41155 −0.705774 0.708437i \(-0.749401\pi\)
−0.705774 + 0.708437i \(0.749401\pi\)
\(380\) 10.2589 10.5425i 0.526272 0.540821i
\(381\) 13.4829 0.690751
\(382\) −2.22602 10.4997i −0.113893 0.537209i
\(383\) 2.40431 2.40431i 0.122855 0.122855i −0.643006 0.765861i \(-0.722313\pi\)
0.765861 + 0.643006i \(0.222313\pi\)
\(384\) 13.0369 + 16.2205i 0.665285 + 0.827747i
\(385\) 12.3172 28.7954i 0.627745 1.46755i
\(386\) 3.13936 + 2.04106i 0.159789 + 0.103887i
\(387\) −2.46195 2.46195i −0.125148 0.125148i
\(388\) 0.883649 2.29480i 0.0448605 0.116501i
\(389\) 3.40359i 0.172569i −0.996271 0.0862845i \(-0.972501\pi\)
0.996271 0.0862845i \(-0.0274994\pi\)
\(390\) −4.83289 + 3.23670i −0.244723 + 0.163897i
\(391\) 20.1761i 1.02035i
\(392\) 8.27850 + 11.4321i 0.418127 + 0.577409i
\(393\) 5.84592 + 5.84592i 0.294888 + 0.294888i
\(394\) 1.91314 2.94260i 0.0963825 0.148246i
\(395\) −2.97789 + 1.19355i −0.149834 + 0.0600542i
\(396\) 2.83412 1.25828i 0.142420 0.0632307i
\(397\) −1.08718 + 1.08718i −0.0545638 + 0.0545638i −0.733862 0.679298i \(-0.762284\pi\)
0.679298 + 0.733862i \(0.262284\pi\)
\(398\) −23.9798 + 5.08393i −1.20200 + 0.254834i
\(399\) 20.9503 1.04883
\(400\) −0.545274 19.9926i −0.0272637 0.999628i
\(401\) 16.5439 0.826162 0.413081 0.910694i \(-0.364453\pi\)
0.413081 + 0.910694i \(0.364453\pi\)
\(402\) 14.3583 3.04408i 0.716126 0.151825i
\(403\) −3.79650 + 3.79650i −0.189117 + 0.189117i
\(404\) −11.9753 + 5.31671i −0.595792 + 0.264516i
\(405\) −20.7618 + 8.32145i −1.03166 + 0.413496i
\(406\) −13.8202 + 21.2569i −0.685886 + 1.05496i
\(407\) 22.4007 + 22.4007i 1.11036 + 1.11036i
\(408\) 21.9192 + 30.2692i 1.08516 + 1.49855i
\(409\) 1.14078i 0.0564082i 0.999602 + 0.0282041i \(0.00897883\pi\)
−0.999602 + 0.0282041i \(0.991021\pi\)
\(410\) 24.2846 16.2640i 1.19933 0.803221i
\(411\) 9.27746i 0.457623i
\(412\) −5.64774 + 14.6669i −0.278244 + 0.722587i
\(413\) 11.2284 + 11.2284i 0.552514 + 0.552514i
\(414\) 1.27647 + 0.829901i 0.0627351 + 0.0407874i
\(415\) 6.54893 15.3102i 0.321474 0.751547i
\(416\) −5.46792 + 1.44978i −0.268087 + 0.0710815i
\(417\) 9.97308 9.97308i 0.488384 0.488384i
\(418\) −3.90244 18.4069i −0.190874 0.900313i
\(419\) 22.1193 1.08060 0.540300 0.841473i \(-0.318311\pi\)
0.540300 + 0.841473i \(0.318311\pi\)
\(420\) 19.8648 20.4140i 0.969302 0.996099i
\(421\) −6.48977 −0.316292 −0.158146 0.987416i \(-0.550552\pi\)
−0.158146 + 0.987416i \(0.550552\pi\)
\(422\) −6.95173 32.7898i −0.338405 1.59618i
\(423\) 0.500322 0.500322i 0.0243265 0.0243265i
\(424\) −13.1395 2.10227i −0.638111 0.102095i
\(425\) 0.825922 35.9077i 0.0400631 1.74178i
\(426\) −18.8893 12.2810i −0.915192 0.595014i
\(427\) 15.6809 + 15.6809i 0.758850 + 0.758850i
\(428\) −3.50880 1.35112i −0.169604 0.0653089i
\(429\) 7.44013i 0.359213i
\(430\) −5.57373 + 28.1782i −0.268789 + 1.35887i
\(431\) 3.21316i 0.154773i 0.997001 + 0.0773863i \(0.0246575\pi\)
−0.997001 + 0.0773863i \(0.975343\pi\)
\(432\) −19.2280 + 0.967298i −0.925109 + 0.0465392i
\(433\) −8.29376 8.29376i −0.398573 0.398573i 0.479157 0.877729i \(-0.340943\pi\)
−0.877729 + 0.479157i \(0.840943\pi\)
\(434\) 14.3314 22.0431i 0.687929 1.05810i
\(435\) 19.5792 + 8.37499i 0.938749 + 0.401550i
\(436\) 11.3103 + 25.4752i 0.541666 + 1.22004i
\(437\) 6.53274 6.53274i 0.312503 0.312503i
\(438\) −28.9847 + 6.14502i −1.38494 + 0.293621i
\(439\) 2.29089 0.109338 0.0546690 0.998505i \(-0.482590\pi\)
0.0546690 + 0.998505i \(0.482590\pi\)
\(440\) −21.6359 13.6507i −1.03145 0.650770i
\(441\) 1.91282 0.0910869
\(442\) −9.93801 + 2.10695i −0.472703 + 0.100217i
\(443\) 18.0983 18.0983i 0.859874 0.859874i −0.131449 0.991323i \(-0.541963\pi\)
0.991323 + 0.131449i \(0.0419630\pi\)
\(444\) 11.6912 + 26.3330i 0.554838 + 1.24971i
\(445\) 7.44992 + 18.5874i 0.353160 + 0.881126i
\(446\) −21.7329 + 33.4273i −1.02908 + 1.58283i
\(447\) −8.52339 8.52339i −0.403143 0.403143i
\(448\) 24.7217 12.4986i 1.16799 0.590505i
\(449\) 28.9770i 1.36751i 0.729712 + 0.683755i \(0.239654\pi\)
−0.729712 + 0.683755i \(0.760346\pi\)
\(450\) −2.23778 1.52924i −0.105490 0.0720889i
\(451\) 37.3856i 1.76042i
\(452\) −11.5625 4.45233i −0.543854 0.209420i
\(453\) −5.74272 5.74272i −0.269816 0.269816i
\(454\) −34.8271 22.6430i −1.63452 1.06269i
\(455\) 2.88061 + 7.18705i 0.135045 + 0.336934i
\(456\) 2.70359 16.8978i 0.126607 0.791314i
\(457\) −18.3539 + 18.3539i −0.858557 + 0.858557i −0.991168 0.132611i \(-0.957664\pi\)
0.132611 + 0.991168i \(0.457664\pi\)
\(458\) 5.01454 + 23.6525i 0.234314 + 1.10521i
\(459\) −34.5745 −1.61380
\(460\) −0.171244 12.5597i −0.00798431 0.585601i
\(461\) 23.9354 1.11478 0.557392 0.830249i \(-0.311802\pi\)
0.557392 + 0.830249i \(0.311802\pi\)
\(462\) −7.55645 35.6421i −0.351558 1.65822i
\(463\) 2.34220 2.34220i 0.108851 0.108851i −0.650583 0.759435i \(-0.725476\pi\)
0.759435 + 0.650583i \(0.225476\pi\)
\(464\) 15.3616 + 13.8901i 0.713146 + 0.644831i
\(465\) −20.3033 8.68476i −0.941545 0.402746i
\(466\) −17.8324 11.5938i −0.826070 0.537072i
\(467\) 21.3761 + 21.3761i 0.989168 + 0.989168i 0.999942 0.0107738i \(-0.00342948\pi\)
−0.0107738 + 0.999942i \(0.503429\pi\)
\(468\) −0.275479 + 0.715407i −0.0127340 + 0.0330697i
\(469\) 19.5380i 0.902179i
\(470\) −5.72643 1.13270i −0.264140 0.0522478i
\(471\) 13.7748i 0.634710i
\(472\) 10.5055 7.60748i 0.483554 0.350163i
\(473\) 25.9802 + 25.9802i 1.19457 + 1.19457i
\(474\) −2.03431 + 3.12898i −0.0934391 + 0.143719i
\(475\) −11.8938 + 11.3590i −0.545725 + 0.521185i
\(476\) 45.4684 20.1868i 2.08404 0.925260i
\(477\) −1.27513 + 1.27513i −0.0583842 + 0.0583842i
\(478\) −14.4283 + 3.05892i −0.659933 + 0.139912i
\(479\) −31.6109 −1.44434 −0.722169 0.691716i \(-0.756855\pi\)
−0.722169 + 0.691716i \(0.756855\pi\)
\(480\) −13.9017 18.6567i −0.634524 0.851556i
\(481\) −7.83190 −0.357104
\(482\) −1.08901 + 0.230879i −0.0496028 + 0.0105163i
\(483\) 12.6496 12.6496i 0.575577 0.575577i
\(484\) −9.80025 + 4.35106i −0.445466 + 0.197775i
\(485\) −1.08125 + 2.52776i −0.0490970 + 0.114780i
\(486\) −3.05261 + 4.69522i −0.138469 + 0.212980i
\(487\) 16.0980 + 16.0980i 0.729470 + 0.729470i 0.970514 0.241044i \(-0.0774898\pi\)
−0.241044 + 0.970514i \(0.577490\pi\)
\(488\) 14.6713 10.6241i 0.664137 0.480931i
\(489\) 36.3177i 1.64234i
\(490\) −8.78134 13.1119i −0.396700 0.592334i
\(491\) 4.44534i 0.200615i −0.994956 0.100308i \(-0.968017\pi\)
0.994956 0.100308i \(-0.0319827\pi\)
\(492\) 12.2182 31.7302i 0.550841 1.43051i
\(493\) 26.2992 + 26.2992i 1.18446 + 1.18446i
\(494\) 3.89998 + 2.53558i 0.175469 + 0.114081i
\(495\) −3.21804 + 1.28981i −0.144640 + 0.0579725i
\(496\) −15.9298 14.4038i −0.715270 0.646752i
\(497\) −21.2074 + 21.2074i −0.951283 + 0.951283i
\(498\) −4.01768 18.9505i −0.180036 0.849192i
\(499\) 1.10569 0.0494976 0.0247488 0.999694i \(-0.492121\pi\)
0.0247488 + 0.999694i \(0.492121\pi\)
\(500\) −0.209375 + 22.3597i −0.00936354 + 0.999956i
\(501\) 1.24763 0.0557399
\(502\) −0.550178 2.59507i −0.0245556 0.115824i
\(503\) 11.9973 11.9973i 0.534933 0.534933i −0.387104 0.922036i \(-0.626524\pi\)
0.922036 + 0.387104i \(0.126524\pi\)
\(504\) 0.593099 3.70696i 0.0264187 0.165121i
\(505\) 13.5975 5.44994i 0.605080 0.242519i
\(506\) −13.4702 8.75769i −0.598824 0.389327i
\(507\) −1.30064 1.30064i −0.0577633 0.0577633i
\(508\) −13.6811 5.26813i −0.607000 0.233735i
\(509\) 0.850066i 0.0376785i 0.999823 + 0.0188393i \(0.00599708\pi\)
−0.999823 + 0.0188393i \(0.994003\pi\)
\(510\) −23.2506 34.7167i −1.02955 1.53728i
\(511\) 39.4408i 1.74476i
\(512\) −6.89071 21.5527i −0.304529 0.952503i
\(513\) 11.1947 + 11.1947i 0.494258 + 0.494258i
\(514\) 20.4331 31.4282i 0.901266 1.38624i
\(515\) 6.91067 16.1559i 0.304520 0.711912i
\(516\) 13.5593 + 30.5408i 0.596916 + 1.34449i
\(517\) −5.27974 + 5.27974i −0.232203 + 0.232203i
\(518\) 37.5189 7.95435i 1.64849 0.349494i
\(519\) −20.4292 −0.896740
\(520\) 6.16858 1.39593i 0.270510 0.0612158i
\(521\) 31.9059 1.39782 0.698910 0.715209i \(-0.253669\pi\)
0.698910 + 0.715209i \(0.253669\pi\)
\(522\) 2.74561 0.582095i 0.120172 0.0254776i
\(523\) −19.7168 + 19.7168i −0.862155 + 0.862155i −0.991588 0.129433i \(-0.958684\pi\)
0.129433 + 0.991588i \(0.458684\pi\)
\(524\) −3.64768 8.21599i −0.159350 0.358917i
\(525\) −23.0305 + 21.9948i −1.00513 + 0.959932i
\(526\) −18.7406 + 28.8250i −0.817131 + 1.25683i
\(527\) −27.2719 27.2719i −1.18798 1.18798i
\(528\) −29.7229 + 1.49526i −1.29352 + 0.0650729i
\(529\) 15.1112i 0.657008i
\(530\) 14.5945 + 2.88683i 0.633944 + 0.125396i
\(531\) 1.75778i 0.0762811i
\(532\) −21.2582 8.18582i −0.921660 0.354900i
\(533\) 6.53552 + 6.53552i 0.283085 + 0.283085i
\(534\) 19.5304 + 12.6978i 0.845165 + 0.549486i
\(535\) 3.86500 + 1.65325i 0.167098 + 0.0714764i
\(536\) −15.7587 2.52133i −0.680672 0.108905i
\(537\) 10.6982 10.6982i 0.461662 0.461662i
\(538\) 0.579244 + 2.73217i 0.0249730 + 0.117792i
\(539\) −20.1854 −0.869449
\(540\) 21.5228 0.293450i 0.926193 0.0126281i
\(541\) 23.7553 1.02132 0.510659 0.859783i \(-0.329401\pi\)
0.510659 + 0.859783i \(0.329401\pi\)
\(542\) −2.11430 9.97267i −0.0908168 0.428363i
\(543\) 15.7757 15.7757i 0.676998 0.676998i
\(544\) −10.4144 39.2784i −0.446515 1.68405i
\(545\) −11.5937 28.9261i −0.496622 1.23906i
\(546\) 7.55170 + 4.90976i 0.323183 + 0.210118i
\(547\) −25.4126 25.4126i −1.08657 1.08657i −0.995880 0.0906855i \(-0.971094\pi\)
−0.0906855 0.995880i \(-0.528906\pi\)
\(548\) 3.62494 9.41381i 0.154850 0.402138i
\(549\) 2.45480i 0.104768i
\(550\) 23.6146 + 16.1376i 1.00693 + 0.688108i
\(551\) 17.0306i 0.725527i
\(552\) −8.57037 11.8352i −0.364779 0.503738i
\(553\) 3.51297 + 3.51297i 0.149386 + 0.149386i
\(554\) −4.18679 + 6.43971i −0.177880 + 0.273597i
\(555\) −11.9841 29.9001i −0.508698 1.26919i
\(556\) −14.0164 + 6.22291i −0.594427 + 0.263910i
\(557\) 4.98781 4.98781i 0.211340 0.211340i −0.593496 0.804837i \(-0.702253\pi\)
0.804837 + 0.593496i \(0.202253\pi\)
\(558\) −2.84717 + 0.603625i −0.120530 + 0.0255535i
\(559\) −9.08338 −0.384186
\(560\) −28.1330 + 12.9523i −1.18884 + 0.547334i
\(561\) −53.4456 −2.25648
\(562\) −28.3037 + 6.00065i −1.19392 + 0.253122i
\(563\) 16.6885 16.6885i 0.703337 0.703337i −0.261788 0.965125i \(-0.584312\pi\)
0.965125 + 0.261788i \(0.0843122\pi\)
\(564\) −6.20656 + 2.75555i −0.261343 + 0.116030i
\(565\) 12.7363 + 5.44795i 0.535820 + 0.229197i
\(566\) 7.47277 11.4939i 0.314104 0.483124i
\(567\) 24.4924 + 24.4924i 1.02858 + 1.02858i
\(568\) 14.3685 + 19.8420i 0.602887 + 0.832552i
\(569\) 30.7533i 1.28925i 0.764501 + 0.644623i \(0.222986\pi\)
−0.764501 + 0.644623i \(0.777014\pi\)
\(570\) −3.71256 + 18.7690i −0.155502 + 0.786146i
\(571\) 30.5271i 1.27752i −0.769407 0.638759i \(-0.779448\pi\)
0.769407 0.638759i \(-0.220552\pi\)
\(572\) 2.90705 7.54947i 0.121550 0.315659i
\(573\) 9.87104 + 9.87104i 0.412369 + 0.412369i
\(574\) −37.9463 24.6709i −1.58385 1.02974i
\(575\) −0.322934 + 14.0398i −0.0134673 + 0.585501i
\(576\) −2.91338 0.956749i −0.121391 0.0398645i
\(577\) 9.01226 9.01226i 0.375185 0.375185i −0.494176 0.869362i \(-0.664530\pi\)
0.869362 + 0.494176i \(0.164530\pi\)
\(578\) −10.1489 47.8701i −0.422139 1.99114i
\(579\) −4.87027 −0.202401
\(580\) −16.5946 16.1482i −0.689053 0.670516i
\(581\) −25.7868 −1.06982
\(582\) 0.663331 + 3.12878i 0.0274959 + 0.129692i
\(583\) 13.4560 13.4560i 0.557292 0.557292i
\(584\) 31.8117 + 5.08974i 1.31638 + 0.210615i
\(585\) 0.337081 0.788033i 0.0139366 0.0325812i
\(586\) −1.47115 0.956470i −0.0607725 0.0395114i
\(587\) −10.4686 10.4686i −0.432086 0.432086i 0.457252 0.889337i \(-0.348834\pi\)
−0.889337 + 0.457252i \(0.848834\pi\)
\(588\) −17.1319 6.59693i −0.706509 0.272053i
\(589\) 17.6605i 0.727688i
\(590\) −12.0491 + 8.06956i −0.496053 + 0.332219i
\(591\) 4.56502i 0.187780i
\(592\) −1.57400 31.2880i −0.0646909 1.28593i
\(593\) −25.3945 25.3945i −1.04283 1.04283i −0.999041 0.0437878i \(-0.986057\pi\)
−0.0437878 0.999041i \(-0.513943\pi\)
\(594\) 15.0075 23.0830i 0.615763 0.947106i
\(595\) −51.6277 + 20.6927i −2.11653 + 0.848316i
\(596\) 5.31835 + 11.9790i 0.217848 + 0.490677i
\(597\) 22.5441 22.5441i 0.922669 0.922669i
\(598\) 3.88574 0.823812i 0.158900 0.0336882i
\(599\) 19.7377 0.806462 0.403231 0.915098i \(-0.367887\pi\)
0.403231 + 0.915098i \(0.367887\pi\)
\(600\) 14.7683 + 21.4140i 0.602913 + 0.874223i
\(601\) −13.2207 −0.539282 −0.269641 0.962961i \(-0.586905\pi\)
−0.269641 + 0.962961i \(0.586905\pi\)
\(602\) 43.5142 9.22540i 1.77351 0.375999i
\(603\) −1.52931 + 1.52931i −0.0622783 + 0.0622783i
\(604\) 3.58329 + 8.07094i 0.145802 + 0.328402i
\(605\) 11.1278 4.46009i 0.452410 0.181328i
\(606\) 9.28898 14.2874i 0.377339 0.580385i
\(607\) 13.8113 + 13.8113i 0.560582 + 0.560582i 0.929473 0.368890i \(-0.120262\pi\)
−0.368890 + 0.929473i \(0.620262\pi\)
\(608\) −9.34574 + 16.0898i −0.379020 + 0.652528i
\(609\) 32.9770i 1.33630i
\(610\) −16.8270 + 11.2694i −0.681304 + 0.456285i
\(611\) 1.84594i 0.0746788i
\(612\) −5.13908 1.97889i −0.207735 0.0799918i
\(613\) 3.80362 + 3.80362i 0.153627 + 0.153627i 0.779736 0.626109i \(-0.215354\pi\)
−0.626109 + 0.779736i \(0.715354\pi\)
\(614\) 34.5206 + 22.4436i 1.39314 + 0.905752i
\(615\) −14.9504 + 34.9513i −0.602860 + 1.40937i
\(616\) −6.25879 + 39.1184i −0.252174 + 1.57613i
\(617\) −6.05214 + 6.05214i −0.243650 + 0.243650i −0.818358 0.574708i \(-0.805115\pi\)
0.574708 + 0.818358i \(0.305115\pi\)
\(618\) −4.23960 19.9972i −0.170542 0.804407i
\(619\) 26.1152 1.04966 0.524829 0.851207i \(-0.324129\pi\)
0.524829 + 0.851207i \(0.324129\pi\)
\(620\) 17.2084 + 16.7454i 0.691105 + 0.672513i
\(621\) 13.5185 0.542480
\(622\) 2.82661 + 13.3325i 0.113337 + 0.534584i
\(623\) 21.9272 21.9272i 0.878495 0.878495i
\(624\) 4.93458 5.45736i 0.197541 0.218469i
\(625\) 1.14946 24.9736i 0.0459782 0.998942i
\(626\) 15.0905 + 9.81110i 0.603136 + 0.392131i
\(627\) 17.3049 + 17.3049i 0.691092 + 0.691092i
\(628\) 5.38217 13.9772i 0.214772 0.557753i
\(629\) 56.2599i 2.24323i
\(630\) −0.814442 + 4.11744i −0.0324482 + 0.164043i
\(631\) 30.5634i 1.21671i −0.793665 0.608355i \(-0.791830\pi\)
0.793665 0.608355i \(-0.208170\pi\)
\(632\) 3.28678 2.38010i 0.130741 0.0946755i
\(633\) 30.8266 + 30.8266i 1.22525 + 1.22525i
\(634\) −21.8288 + 33.5748i −0.866930 + 1.33343i
\(635\) 15.0699 + 6.44617i 0.598032 + 0.255808i
\(636\) 15.8182 7.02285i 0.627231 0.278474i
\(637\) 3.52869 3.52869i 0.139812 0.139812i
\(638\) −28.9736 + 6.14267i −1.14708 + 0.243191i
\(639\) 3.31997 0.131336
\(640\) 6.81640 + 24.3626i 0.269442 + 0.963017i
\(641\) −31.0791 −1.22755 −0.613775 0.789481i \(-0.710350\pi\)
−0.613775 + 0.789481i \(0.710350\pi\)
\(642\) 4.78398 1.01425i 0.188809 0.0400292i
\(643\) −24.4247 + 24.4247i −0.963214 + 0.963214i −0.999347 0.0361326i \(-0.988496\pi\)
0.0361326 + 0.999347i \(0.488496\pi\)
\(644\) −17.7780 + 7.89299i −0.700553 + 0.311027i
\(645\) −13.8991 34.6780i −0.547277 1.36544i
\(646\) −18.2142 + 28.0153i −0.716628 + 1.10225i
\(647\) 11.3024 + 11.3024i 0.444343 + 0.444343i 0.893469 0.449126i \(-0.148264\pi\)
−0.449126 + 0.893469i \(0.648264\pi\)
\(648\) 22.9154 16.5941i 0.900203 0.651876i
\(649\) 18.5493i 0.728124i
\(650\) −6.94921 + 1.30708i −0.272570 + 0.0512679i
\(651\) 34.1968i 1.34028i
\(652\) 14.1903 36.8514i 0.555733 1.44321i
\(653\) −32.6706 32.6706i −1.27850 1.27850i −0.941508 0.336991i \(-0.890591\pi\)
−0.336991 0.941508i \(-0.609409\pi\)
\(654\) −30.3937 19.7606i −1.18849 0.772700i
\(655\) 3.73909 + 9.32895i 0.146098 + 0.364512i
\(656\) −24.7956 + 27.4225i −0.968105 + 1.07067i
\(657\) 3.08718 3.08718i 0.120442 0.120442i
\(658\) 1.87480 + 8.84303i 0.0730874 + 0.344737i
\(659\) −23.7796 −0.926321 −0.463161 0.886274i \(-0.653285\pi\)
−0.463161 + 0.886274i \(0.653285\pi\)
\(660\) 33.2702 0.453618i 1.29504 0.0176571i
\(661\) 40.2359 1.56499 0.782497 0.622654i \(-0.213946\pi\)
0.782497 + 0.622654i \(0.213946\pi\)
\(662\) 1.61893 + 7.63612i 0.0629213 + 0.296786i
\(663\) 9.34303 9.34303i 0.362853 0.362853i
\(664\) −3.32773 + 20.7988i −0.129141 + 0.807150i
\(665\) 23.4163 + 10.0163i 0.908044 + 0.388416i
\(666\) −3.55936 2.31413i −0.137922 0.0896706i
\(667\) −10.2829 10.2829i −0.398156 0.398156i
\(668\) −1.26596 0.487480i −0.0489816 0.0188612i
\(669\) 51.8577i 2.00494i
\(670\) 17.5037 + 3.46228i 0.676227 + 0.133760i
\(671\) 25.9047i 1.00004i
\(672\) −18.0965 + 31.1554i −0.698089 + 1.20184i
\(673\) −22.3504 22.3504i −0.861545 0.861545i 0.129973 0.991518i \(-0.458511\pi\)
−0.991518 + 0.129973i \(0.958511\pi\)
\(674\) −17.5544 + 27.0005i −0.676171 + 1.04002i
\(675\) −24.0591 0.553389i −0.926034 0.0213000i
\(676\) 0.811558 + 1.82794i 0.0312138 + 0.0703055i
\(677\) −21.3069 + 21.3069i −0.818891 + 0.818891i −0.985947 0.167056i \(-0.946574\pi\)
0.167056 + 0.985947i \(0.446574\pi\)
\(678\) 15.7646 3.34224i 0.605436 0.128358i
\(679\) 4.25748 0.163387
\(680\) 10.0276 + 44.3116i 0.384541 + 1.69927i
\(681\) 54.0294 2.07041
\(682\) 30.0453 6.36987i 1.15049 0.243915i
\(683\) 22.2168 22.2168i 0.850101 0.850101i −0.140044 0.990145i \(-0.544725\pi\)
0.990145 + 0.140044i \(0.0447245\pi\)
\(684\) 1.02322 + 2.30469i 0.0391239 + 0.0881221i
\(685\) −4.43554 + 10.3695i −0.169473 + 0.396197i
\(686\) 5.36433 8.25088i 0.204811 0.315020i
\(687\) −22.2364 22.2364i −0.848372 0.848372i
\(688\) −1.82551 36.2877i −0.0695970 1.38345i
\(689\) 4.70460i 0.179231i
\(690\) 9.09094 + 13.5742i 0.346086 + 0.516760i
\(691\) 29.8285i 1.13473i 0.823467 + 0.567364i \(0.192037\pi\)
−0.823467 + 0.567364i \(0.807963\pi\)
\(692\) 20.7294 + 7.98220i 0.788013 + 0.303438i
\(693\) 3.79627 + 3.79627i 0.144208 + 0.144208i
\(694\) 29.5456 + 19.2091i 1.12153 + 0.729168i
\(695\) 15.9151 6.37885i 0.603693 0.241964i
\(696\) −26.5982 4.25561i −1.00820 0.161308i
\(697\) −46.9474 + 46.9474i −1.77826 + 1.77826i
\(698\) 0.681771 + 3.21577i 0.0258054 + 0.121719i
\(699\) 27.6644 1.04637
\(700\) 31.9629 13.3195i 1.20808 0.503429i
\(701\) −11.6474 −0.439915 −0.219958 0.975509i \(-0.570592\pi\)
−0.219958 + 0.975509i \(0.570592\pi\)
\(702\) 1.41171 + 6.65873i 0.0532816 + 0.251317i
\(703\) −18.2161 + 18.2161i −0.687035 + 0.687035i
\(704\) 30.7440 + 10.0963i 1.15871 + 0.380518i
\(705\) 7.04732 2.82460i 0.265417 0.106381i
\(706\) 20.4451 + 13.2925i 0.769463 + 0.500268i
\(707\) −16.0407 16.0407i −0.603273 0.603273i
\(708\) −6.06222 + 15.7433i −0.227832 + 0.591669i
\(709\) 1.13943i 0.0427923i −0.999771 0.0213962i \(-0.993189\pi\)
0.999771 0.0213962i \(-0.00681113\pi\)
\(710\) −15.2412 22.7575i −0.571993 0.854072i
\(711\) 0.549946i 0.0206246i
\(712\) −14.8561 20.5154i −0.556757 0.768848i
\(713\) 10.6633 + 10.6633i 0.399342 + 0.399342i
\(714\) −35.2689 + 54.2471i −1.31991 + 2.03015i
\(715\) −3.55712 + 8.31587i −0.133029 + 0.310996i
\(716\) −15.0355 + 6.67537i −0.561903 + 0.249470i
\(717\) 13.5644 13.5644i 0.506573 0.506573i
\(718\) 38.1887 8.09634i 1.42519 0.302153i
\(719\) −0.753679 −0.0281075 −0.0140537 0.999901i \(-0.504474\pi\)
−0.0140537 + 0.999901i \(0.504474\pi\)
\(720\) 3.21590 + 1.18825i 0.119849 + 0.0442834i
\(721\) −27.2112 −1.01340
\(722\) −11.3174 + 2.39939i −0.421189 + 0.0892960i
\(723\) 1.02381 1.02381i 0.0380758 0.0380758i
\(724\) −22.1714 + 9.84354i −0.823995 + 0.365832i
\(725\) 17.8797 + 18.7215i 0.664034 + 0.695301i
\(726\) 7.60185 11.6924i 0.282131 0.433946i
\(727\) −30.7685 30.7685i −1.14114 1.14114i −0.988242 0.152898i \(-0.951139\pi\)
−0.152898 0.988242i \(-0.548861\pi\)
\(728\) −5.74431 7.93256i −0.212898 0.294000i
\(729\) 22.7250i 0.841667i
\(730\) −35.3343 6.98923i −1.30778 0.258683i
\(731\) 65.2499i 2.41335i
\(732\) −8.46609 + 21.9860i −0.312916 + 0.812628i
\(733\) −32.7186 32.7186i −1.20849 1.20849i −0.971517 0.236971i \(-0.923845\pi\)
−0.236971 0.971517i \(-0.576155\pi\)
\(734\) 12.8447 + 8.35102i 0.474107 + 0.308242i
\(735\) 18.8711 + 8.07212i 0.696072 + 0.297745i
\(736\) 4.07201 + 15.3578i 0.150096 + 0.566095i
\(737\) 16.1383 16.1383i 0.594463 0.594463i
\(738\) 1.03911 + 4.90128i 0.0382503 + 0.180418i
\(739\) 23.2546 0.855435 0.427718 0.903912i \(-0.359318\pi\)
0.427718 + 0.903912i \(0.359318\pi\)
\(740\) 0.477504 + 35.0221i 0.0175534 + 1.28744i
\(741\) −6.05027 −0.222262
\(742\) −4.77816 22.5375i −0.175412 0.827378i
\(743\) 17.0992 17.0992i 0.627310 0.627310i −0.320080 0.947391i \(-0.603710\pi\)
0.947391 + 0.320080i \(0.103710\pi\)
\(744\) 27.5820 + 4.41301i 1.01121 + 0.161789i
\(745\) −5.45162 13.6017i −0.199732 0.498326i
\(746\) −38.6013 25.0968i −1.41330 0.918858i
\(747\) 2.01843 + 2.01843i 0.0738505 + 0.0738505i
\(748\) 54.2311 + 20.8826i 1.98289 + 0.763543i
\(749\) 6.50979i 0.237862i
\(750\) −15.6236 24.5302i −0.570492 0.895716i
\(751\) 30.0382i 1.09611i 0.836443 + 0.548054i \(0.184631\pi\)
−0.836443 + 0.548054i \(0.815369\pi\)
\(752\) 7.37444 0.370984i 0.268918 0.0135284i
\(753\) 2.43970 + 2.43970i 0.0889077 + 0.0889077i
\(754\) 3.99116 6.13881i 0.145350 0.223562i
\(755\) −3.67308 9.16425i −0.133677 0.333521i
\(756\) −13.5257 30.4650i −0.491924 1.10800i
\(757\) −9.63522 + 9.63522i −0.350198 + 0.350198i −0.860183 0.509985i \(-0.829651\pi\)
0.509985 + 0.860183i \(0.329651\pi\)
\(758\) −38.0175 + 8.06005i −1.38086 + 0.292754i
\(759\) 20.8971 0.758518
\(760\) 11.1006 17.5942i 0.402663 0.638210i
\(761\) −24.2327 −0.878435 −0.439218 0.898381i \(-0.644744\pi\)
−0.439218 + 0.898381i \(0.644744\pi\)
\(762\) 18.6531 3.95463i 0.675732 0.143261i
\(763\) −34.1236 + 34.1236i −1.23536 + 1.23536i
\(764\) −6.15924 13.8730i −0.222833 0.501907i
\(765\) 5.66078 + 2.42140i 0.204666 + 0.0875459i
\(766\) 2.62107 4.03148i 0.0947033 0.145663i
\(767\) −3.24267 3.24267i −0.117086 0.117086i
\(768\) 22.7936 + 18.6166i 0.822493 + 0.671769i
\(769\) 5.49796i 0.198261i 0.995074 + 0.0991307i \(0.0316062\pi\)
−0.995074 + 0.0991307i \(0.968394\pi\)
\(770\) 8.59456 43.4501i 0.309726 1.56583i
\(771\) 48.7564i 1.75592i
\(772\) 4.94184 + 1.90294i 0.177861 + 0.0684883i
\(773\) 10.0820 + 10.0820i 0.362625 + 0.362625i 0.864779 0.502153i \(-0.167459\pi\)
−0.502153 + 0.864779i \(0.667459\pi\)
\(774\) −4.12812 2.68391i −0.148382 0.0964712i
\(775\) −18.5410 19.4140i −0.666012 0.697372i