Properties

Label 731.2.n.a.208.14
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.14
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.51

$q$-expansion

\(f(q)\) \(=\) \(q-1.81631i q^{2} +(-1.48008 - 0.396586i) q^{3} -1.29900 q^{4} +(-3.73299 - 1.00025i) q^{5} +(-0.720326 + 2.68829i) q^{6} +(4.01589 - 1.07605i) q^{7} -1.27324i q^{8} +(-0.564718 - 0.326040i) q^{9} +O(q^{10})\) \(q-1.81631i q^{2} +(-1.48008 - 0.396586i) q^{3} -1.29900 q^{4} +(-3.73299 - 1.00025i) q^{5} +(-0.720326 + 2.68829i) q^{6} +(4.01589 - 1.07605i) q^{7} -1.27324i q^{8} +(-0.564718 - 0.326040i) q^{9} +(-1.81677 + 6.78028i) q^{10} +(-3.86791 - 3.86791i) q^{11} +(1.92262 + 0.515165i) q^{12} +(2.52598 - 4.37512i) q^{13} +(-1.95445 - 7.29411i) q^{14} +(5.12843 + 2.96090i) q^{15} -4.91060 q^{16} +(0.158622 + 4.12005i) q^{17} +(-0.592191 + 1.02571i) q^{18} +(-0.664650 + 0.383736i) q^{19} +(4.84914 + 1.29932i) q^{20} -6.37059 q^{21} +(-7.02535 + 7.02535i) q^{22} +(-0.631637 + 2.35730i) q^{23} +(-0.504950 + 1.88450i) q^{24} +(8.60456 + 4.96784i) q^{25} +(-7.94660 - 4.58797i) q^{26} +(3.95701 + 3.95701i) q^{27} +(-5.21663 + 1.39779i) q^{28} +(-0.382983 - 1.42931i) q^{29} +(5.37793 - 9.31485i) q^{30} +(1.87430 + 0.502217i) q^{31} +6.37271i q^{32} +(4.19086 + 7.25879i) q^{33} +(7.48331 - 0.288108i) q^{34} -16.0676 q^{35} +(0.733567 + 0.423525i) q^{36} +(-11.0117 - 2.95056i) q^{37} +(0.696985 + 1.20721i) q^{38} +(-5.47377 + 5.47377i) q^{39} +(-1.27356 + 4.75299i) q^{40} +(4.05589 + 4.05589i) q^{41} +11.5710i q^{42} +(3.35701 + 5.63298i) q^{43} +(5.02441 + 5.02441i) q^{44} +(1.78196 + 1.78196i) q^{45} +(4.28160 + 1.14725i) q^{46} +1.06126 q^{47} +(7.26809 + 1.94748i) q^{48} +(8.90728 - 5.14262i) q^{49} +(9.02316 - 15.6286i) q^{50} +(1.39918 - 6.16092i) q^{51} +(-3.28124 + 5.68327i) q^{52} +(7.01354 - 4.04927i) q^{53} +(7.18717 - 7.18717i) q^{54} +(10.5700 + 18.3078i) q^{55} +(-1.37008 - 5.11319i) q^{56} +(1.13592 - 0.304369i) q^{57} +(-2.59608 + 0.695618i) q^{58} -7.88534i q^{59} +(-6.66182 - 3.84621i) q^{60} +(-6.23140 + 1.66970i) q^{61} +(0.912184 - 3.40432i) q^{62} +(-2.61868 - 0.701673i) q^{63} +1.75365 q^{64} +(-13.8057 + 13.8057i) q^{65} +(13.1842 - 7.61192i) q^{66} +(3.83805 + 6.64769i) q^{67} +(-0.206050 - 5.35194i) q^{68} +(1.86975 - 3.23850i) q^{69} +29.1838i q^{70} +(-0.123289 - 0.460119i) q^{71} +(-0.415127 + 0.719022i) q^{72} +(-3.46898 - 12.9464i) q^{73} +(-5.35915 + 20.0006i) q^{74} +(-10.7653 - 10.7653i) q^{75} +(0.863378 - 0.498472i) q^{76} +(-19.6952 - 11.3710i) q^{77} +(9.94208 + 9.94208i) q^{78} +(-9.88540 + 2.64878i) q^{79} +(18.3312 + 4.91183i) q^{80} +(-3.30928 - 5.73183i) q^{81} +(7.36677 - 7.36677i) q^{82} +(-6.52375 + 3.76649i) q^{83} +8.27538 q^{84} +(3.52895 - 15.5388i) q^{85} +(10.2313 - 6.09738i) q^{86} +2.26738i q^{87} +(-4.92479 + 4.92479i) q^{88} +(-3.25611 - 5.63975i) q^{89} +(3.23660 - 3.23660i) q^{90} +(5.43618 - 20.2881i) q^{91} +(0.820495 - 3.06213i) q^{92} +(-2.57494 - 1.48664i) q^{93} -1.92757i q^{94} +(2.86496 - 0.767664i) q^{95} +(2.52733 - 9.43213i) q^{96} +(3.72495 - 3.72495i) q^{97} +(-9.34062 - 16.1784i) q^{98} +(0.923185 + 3.44538i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.81631i 1.28433i −0.766567 0.642164i \(-0.778037\pi\)
0.766567 0.642164i \(-0.221963\pi\)
\(3\) −1.48008 0.396586i −0.854525 0.228969i −0.195141 0.980775i \(-0.562516\pi\)
−0.659384 + 0.751806i \(0.729183\pi\)
\(4\) −1.29900 −0.649499
\(5\) −3.73299 1.00025i −1.66944 0.447326i −0.704482 0.709722i \(-0.748821\pi\)
−0.964960 + 0.262396i \(0.915487\pi\)
\(6\) −0.720326 + 2.68829i −0.294072 + 1.09749i
\(7\) 4.01589 1.07605i 1.51786 0.406710i 0.598825 0.800880i \(-0.295634\pi\)
0.919038 + 0.394170i \(0.128968\pi\)
\(8\) 1.27324i 0.450159i
\(9\) −0.564718 0.326040i −0.188239 0.108680i
\(10\) −1.81677 + 6.78028i −0.574513 + 2.14411i
\(11\) −3.86791 3.86791i −1.16622 1.16622i −0.983088 0.183131i \(-0.941377\pi\)
−0.183131 0.983088i \(-0.558623\pi\)
\(12\) 1.92262 + 0.515165i 0.555013 + 0.148715i
\(13\) 2.52598 4.37512i 0.700580 1.21344i −0.267683 0.963507i \(-0.586258\pi\)
0.968263 0.249934i \(-0.0804088\pi\)
\(14\) −1.95445 7.29411i −0.522349 1.94943i
\(15\) 5.12843 + 2.96090i 1.32416 + 0.764502i
\(16\) −4.91060 −1.22765
\(17\) 0.158622 + 4.12005i 0.0384715 + 0.999260i
\(18\) −0.592191 + 1.02571i −0.139581 + 0.241761i
\(19\) −0.664650 + 0.383736i −0.152481 + 0.0880350i −0.574299 0.818645i \(-0.694725\pi\)
0.421818 + 0.906680i \(0.361392\pi\)
\(20\) 4.84914 + 1.29932i 1.08430 + 0.290537i
\(21\) −6.37059 −1.39018
\(22\) −7.02535 + 7.02535i −1.49781 + 1.49781i
\(23\) −0.631637 + 2.35730i −0.131705 + 0.491532i −0.999990 0.00453550i \(-0.998556\pi\)
0.868284 + 0.496067i \(0.165223\pi\)
\(24\) −0.504950 + 1.88450i −0.103072 + 0.384672i
\(25\) 8.60456 + 4.96784i 1.72091 + 0.993568i
\(26\) −7.94660 4.58797i −1.55846 0.899775i
\(27\) 3.95701 + 3.95701i 0.761527 + 0.761527i
\(28\) −5.21663 + 1.39779i −0.985850 + 0.264158i
\(29\) −0.382983 1.42931i −0.0711182 0.265417i 0.921207 0.389073i \(-0.127205\pi\)
−0.992325 + 0.123656i \(0.960538\pi\)
\(30\) 5.37793 9.31485i 0.981871 1.70065i
\(31\) 1.87430 + 0.502217i 0.336634 + 0.0902008i 0.423176 0.906047i \(-0.360915\pi\)
−0.0865422 + 0.996248i \(0.527582\pi\)
\(32\) 6.37271i 1.12655i
\(33\) 4.19086 + 7.25879i 0.729536 + 1.26359i
\(34\) 7.48331 0.288108i 1.28338 0.0494101i
\(35\) −16.0676 −2.71592
\(36\) 0.733567 + 0.423525i 0.122261 + 0.0705875i
\(37\) −11.0117 2.95056i −1.81030 0.485070i −0.814797 0.579747i \(-0.803152\pi\)
−0.995508 + 0.0946769i \(0.969818\pi\)
\(38\) 0.696985 + 1.20721i 0.113066 + 0.195836i
\(39\) −5.47377 + 5.47377i −0.876504 + 0.876504i
\(40\) −1.27356 + 4.75299i −0.201367 + 0.751514i
\(41\) 4.05589 + 4.05589i 0.633423 + 0.633423i 0.948925 0.315502i \(-0.102173\pi\)
−0.315502 + 0.948925i \(0.602173\pi\)
\(42\) 11.5710i 1.78544i
\(43\) 3.35701 + 5.63298i 0.511939 + 0.859022i
\(44\) 5.02441 + 5.02441i 0.757458 + 0.757458i
\(45\) 1.78196 + 1.78196i 0.265639 + 0.265639i
\(46\) 4.28160 + 1.14725i 0.631288 + 0.169153i
\(47\) 1.06126 0.154800 0.0774000 0.997000i \(-0.475338\pi\)
0.0774000 + 0.997000i \(0.475338\pi\)
\(48\) 7.26809 + 1.94748i 1.04906 + 0.281094i
\(49\) 8.90728 5.14262i 1.27247 0.734660i
\(50\) 9.02316 15.6286i 1.27607 2.21021i
\(51\) 1.39918 6.16092i 0.195925 0.862701i
\(52\) −3.28124 + 5.68327i −0.455026 + 0.788128i
\(53\) 7.01354 4.04927i 0.963384 0.556210i 0.0661715 0.997808i \(-0.478922\pi\)
0.897213 + 0.441598i \(0.145588\pi\)
\(54\) 7.18717 7.18717i 0.978050 0.978050i
\(55\) 10.5700 + 18.3078i 1.42526 + 2.46862i
\(56\) −1.37008 5.11319i −0.183084 0.683279i
\(57\) 1.13592 0.304369i 0.150456 0.0403146i
\(58\) −2.59608 + 0.695618i −0.340882 + 0.0913391i
\(59\) 7.88534i 1.02658i −0.858214 0.513292i \(-0.828426\pi\)
0.858214 0.513292i \(-0.171574\pi\)
\(60\) −6.66182 3.84621i −0.860038 0.496543i
\(61\) −6.23140 + 1.66970i −0.797849 + 0.213783i −0.634639 0.772808i \(-0.718851\pi\)
−0.163210 + 0.986591i \(0.552185\pi\)
\(62\) 0.912184 3.40432i 0.115847 0.432349i
\(63\) −2.61868 0.701673i −0.329923 0.0884025i
\(64\) 1.75365 0.219206
\(65\) −13.8057 + 13.8057i −1.71238 + 1.71238i
\(66\) 13.1842 7.61192i 1.62287 0.936963i
\(67\) 3.83805 + 6.64769i 0.468892 + 0.812145i 0.999368 0.0355555i \(-0.0113201\pi\)
−0.530476 + 0.847700i \(0.677987\pi\)
\(68\) −0.206050 5.35194i −0.0249872 0.649018i
\(69\) 1.86975 3.23850i 0.225091 0.389869i
\(70\) 29.1838i 3.48813i
\(71\) −0.123289 0.460119i −0.0146317 0.0546061i 0.958224 0.286019i \(-0.0923319\pi\)
−0.972856 + 0.231413i \(0.925665\pi\)
\(72\) −0.415127 + 0.719022i −0.0489232 + 0.0847375i
\(73\) −3.46898 12.9464i −0.406014 1.51526i −0.802178 0.597085i \(-0.796326\pi\)
0.396164 0.918180i \(-0.370341\pi\)
\(74\) −5.35915 + 20.0006i −0.622989 + 2.32503i
\(75\) −10.7653 10.7653i −1.24306 1.24306i
\(76\) 0.863378 0.498472i 0.0990363 0.0571786i
\(77\) −19.6952 11.3710i −2.24448 1.29585i
\(78\) 9.94208 + 9.94208i 1.12572 + 1.12572i
\(79\) −9.88540 + 2.64878i −1.11219 + 0.298011i −0.767721 0.640785i \(-0.778609\pi\)
−0.344473 + 0.938796i \(0.611942\pi\)
\(80\) 18.3312 + 4.91183i 2.04949 + 0.549159i
\(81\) −3.30928 5.73183i −0.367697 0.636870i
\(82\) 7.36677 7.36677i 0.813524 0.813524i
\(83\) −6.52375 + 3.76649i −0.716075 + 0.413426i −0.813306 0.581836i \(-0.802335\pi\)
0.0972316 + 0.995262i \(0.469001\pi\)
\(84\) 8.27538 0.902917
\(85\) 3.52895 15.5388i 0.382768 1.68542i
\(86\) 10.2313 6.09738i 1.10327 0.657497i
\(87\) 2.26738i 0.243089i
\(88\) −4.92479 + 4.92479i −0.524984 + 0.524984i
\(89\) −3.25611 5.63975i −0.345147 0.597813i 0.640233 0.768181i \(-0.278838\pi\)
−0.985381 + 0.170368i \(0.945504\pi\)
\(90\) 3.23660 3.23660i 0.341168 0.341168i
\(91\) 5.43618 20.2881i 0.569866 2.12677i
\(92\) 0.820495 3.06213i 0.0855425 0.319249i
\(93\) −2.57494 1.48664i −0.267009 0.154158i
\(94\) 1.92757i 0.198814i
\(95\) 2.86496 0.767664i 0.293939 0.0787606i
\(96\) 2.52733 9.43213i 0.257945 0.962663i
\(97\) 3.72495 3.72495i 0.378212 0.378212i −0.492245 0.870457i \(-0.663824\pi\)
0.870457 + 0.492245i \(0.163824\pi\)
\(98\) −9.34062 16.1784i −0.943545 1.63427i
\(99\) 0.923185 + 3.44538i 0.0927836 + 0.346273i
\(100\) −11.1773 6.45321i −1.11773 0.645321i
\(101\) 3.90318 6.76050i 0.388381 0.672695i −0.603851 0.797097i \(-0.706368\pi\)
0.992232 + 0.124402i \(0.0397012\pi\)
\(102\) −11.1902 2.54136i −1.10799 0.251632i
\(103\) −1.49360 + 2.58700i −0.147169 + 0.254904i −0.930180 0.367103i \(-0.880350\pi\)
0.783011 + 0.622008i \(0.213683\pi\)
\(104\) −5.57059 3.21618i −0.546241 0.315372i
\(105\) 23.7813 + 6.37218i 2.32082 + 0.621861i
\(106\) −7.35475 12.7388i −0.714357 1.23730i
\(107\) −0.525100 + 0.525100i −0.0507633 + 0.0507633i −0.732033 0.681269i \(-0.761428\pi\)
0.681269 + 0.732033i \(0.261428\pi\)
\(108\) −5.14014 5.14014i −0.494611 0.494611i
\(109\) −3.58171 + 13.3671i −0.343066 + 1.28034i 0.551790 + 0.833983i \(0.313945\pi\)
−0.894856 + 0.446355i \(0.852722\pi\)
\(110\) 33.2526 19.1984i 3.17051 1.83050i
\(111\) 15.1280 + 8.73415i 1.43588 + 0.829008i
\(112\) −19.7204 + 5.28407i −1.86340 + 0.499298i
\(113\) 3.37033 + 3.37033i 0.317054 + 0.317054i 0.847634 0.530581i \(-0.178026\pi\)
−0.530581 + 0.847634i \(0.678026\pi\)
\(114\) −0.552829 2.06319i −0.0517772 0.193235i
\(115\) 4.71579 8.16798i 0.439749 0.761668i
\(116\) 0.497494 + 1.85667i 0.0461912 + 0.172388i
\(117\) −2.85293 + 1.64714i −0.263754 + 0.152278i
\(118\) −14.3223 −1.31847
\(119\) 5.07041 + 16.3750i 0.464804 + 1.50109i
\(120\) 3.76994 6.52973i 0.344147 0.596080i
\(121\) 18.9215i 1.72014i
\(122\) 3.03270 + 11.3182i 0.274567 + 1.02470i
\(123\) −4.39453 7.61155i −0.396242 0.686311i
\(124\) −2.43471 0.652379i −0.218643 0.0585853i
\(125\) −13.4879 13.4879i −1.20640 1.20640i
\(126\) −1.27446 + 4.75635i −0.113538 + 0.423729i
\(127\) 12.1643i 1.07940i −0.841856 0.539702i \(-0.818537\pi\)
0.841856 0.539702i \(-0.181463\pi\)
\(128\) 9.56025i 0.845015i
\(129\) −2.73468 9.66861i −0.240775 0.851274i
\(130\) 25.0754 + 25.0754i 2.19926 + 2.19926i
\(131\) 12.3318 12.3318i 1.07743 1.07743i 0.0806947 0.996739i \(-0.474286\pi\)
0.996739 0.0806947i \(-0.0257139\pi\)
\(132\) −5.44392 9.42915i −0.473832 0.820702i
\(133\) −2.25624 + 2.25624i −0.195641 + 0.195641i
\(134\) 12.0743 6.97110i 1.04306 0.602211i
\(135\) −10.8135 18.7295i −0.930674 1.61197i
\(136\) 5.24582 0.201964i 0.449825 0.0173183i
\(137\) −2.06291 −0.176247 −0.0881233 0.996110i \(-0.528087\pi\)
−0.0881233 + 0.996110i \(0.528087\pi\)
\(138\) −5.88213 3.39605i −0.500720 0.289091i
\(139\) −8.34054 2.23484i −0.707435 0.189557i −0.112877 0.993609i \(-0.536007\pi\)
−0.594559 + 0.804052i \(0.702673\pi\)
\(140\) 20.8717 1.76398
\(141\) −1.57074 0.420880i −0.132281 0.0354445i
\(142\) −0.835721 + 0.223931i −0.0701321 + 0.0187919i
\(143\) −26.6929 + 7.15233i −2.23217 + 0.598108i
\(144\) 2.77310 + 1.60105i 0.231092 + 0.133421i
\(145\) 5.71868i 0.474911i
\(146\) −23.5148 + 6.30076i −1.94610 + 0.521455i
\(147\) −15.2230 + 4.07899i −1.25557 + 0.336429i
\(148\) 14.3041 + 3.83278i 1.17579 + 0.315052i
\(149\) 9.22487 + 15.9779i 0.755730 + 1.30896i 0.945010 + 0.327040i \(0.106051\pi\)
−0.189280 + 0.981923i \(0.560615\pi\)
\(150\) −19.5531 + 19.5531i −1.59650 + 1.59650i
\(151\) 5.45012i 0.443524i −0.975101 0.221762i \(-0.928819\pi\)
0.975101 0.221762i \(-0.0711809\pi\)
\(152\) 0.488588 + 0.846259i 0.0396297 + 0.0686407i
\(153\) 1.25373 2.37839i 0.101358 0.192281i
\(154\) −20.6534 + 35.7727i −1.66429 + 2.88264i
\(155\) −6.49439 3.74954i −0.521642 0.301170i
\(156\) 7.11041 7.11041i 0.569288 0.569288i
\(157\) 9.36077 16.2133i 0.747071 1.29397i −0.202150 0.979355i \(-0.564793\pi\)
0.949221 0.314611i \(-0.101874\pi\)
\(158\) 4.81102 + 17.9550i 0.382745 + 1.42842i
\(159\) −11.9865 + 3.21177i −0.950591 + 0.254710i
\(160\) 6.37431 23.7892i 0.503933 1.88070i
\(161\) 10.1463i 0.799643i
\(162\) −10.4108 + 6.01068i −0.817951 + 0.472244i
\(163\) 15.2088 4.07518i 1.19124 0.319192i 0.391866 0.920023i \(-0.371830\pi\)
0.799377 + 0.600830i \(0.205163\pi\)
\(164\) −5.26859 5.26859i −0.411408 0.411408i
\(165\) −8.38383 31.2889i −0.652680 2.43583i
\(166\) 6.84113 + 11.8492i 0.530974 + 0.919675i
\(167\) −8.42986 2.25877i −0.652322 0.174789i −0.0825436 0.996587i \(-0.526304\pi\)
−0.569779 + 0.821798i \(0.692971\pi\)
\(168\) 8.11129i 0.625800i
\(169\) −6.26114 10.8446i −0.481626 0.834200i
\(170\) −28.2233 6.40968i −2.16463 0.491600i
\(171\) 0.500453 0.0382706
\(172\) −4.36074 7.31723i −0.332504 0.557934i
\(173\) −12.1408 + 12.1408i −0.923047 + 0.923047i −0.997244 0.0741969i \(-0.976361\pi\)
0.0741969 + 0.997244i \(0.476361\pi\)
\(174\) 4.11828 0.312206
\(175\) 39.9006 + 10.6913i 3.01620 + 0.808189i
\(176\) 18.9938 + 18.9938i 1.43171 + 1.43171i
\(177\) −3.12722 + 11.6709i −0.235056 + 0.877241i
\(178\) −10.2436 + 5.91413i −0.767788 + 0.443283i
\(179\) −21.1204 12.1939i −1.57861 0.911413i −0.995053 0.0993428i \(-0.968326\pi\)
−0.583560 0.812070i \(-0.698341\pi\)
\(180\) −2.31476 2.31476i −0.172532 0.172532i
\(181\) 1.34745 0.361049i 0.100155 0.0268366i −0.208393 0.978045i \(-0.566823\pi\)
0.308549 + 0.951209i \(0.400157\pi\)
\(182\) −36.8496 9.87381i −2.73147 0.731895i
\(183\) 9.88515 0.730732
\(184\) 3.00141 + 0.804226i 0.221267 + 0.0592884i
\(185\) 38.1550 + 22.0288i 2.80521 + 1.61959i
\(186\) −2.70021 + 4.67690i −0.197989 + 0.342927i
\(187\) 15.3225 16.5495i 1.12049 1.21022i
\(188\) −1.37857 −0.100542
\(189\) 20.1489 + 11.6329i 1.46561 + 0.846172i
\(190\) −1.39432 5.20367i −0.101155 0.377514i
\(191\) −8.93066 15.4684i −0.646200 1.11925i −0.984023 0.178041i \(-0.943024\pi\)
0.337823 0.941210i \(-0.390309\pi\)
\(192\) −2.59554 0.695473i −0.187317 0.0501914i
\(193\) −11.8302 11.8302i −0.851554 0.851554i 0.138770 0.990325i \(-0.455685\pi\)
−0.990325 + 0.138770i \(0.955685\pi\)
\(194\) −6.76569 6.76569i −0.485748 0.485748i
\(195\) 25.9086 14.9584i 1.85536 1.07119i
\(196\) −11.5705 + 6.68025i −0.826467 + 0.477161i
\(197\) −20.9506 + 5.61370i −1.49267 + 0.399959i −0.910637 0.413207i \(-0.864409\pi\)
−0.582031 + 0.813166i \(0.697742\pi\)
\(198\) 6.25788 1.67679i 0.444728 0.119165i
\(199\) −4.52490 + 4.52490i −0.320762 + 0.320762i −0.849059 0.528298i \(-0.822831\pi\)
0.528298 + 0.849059i \(0.322831\pi\)
\(200\) 6.32526 10.9557i 0.447263 0.774683i
\(201\) −3.04423 11.3612i −0.214724 0.801360i
\(202\) −12.2792 7.08940i −0.863961 0.498808i
\(203\) −3.07603 5.32785i −0.215895 0.373942i
\(204\) −1.81754 + 8.00302i −0.127253 + 0.560323i
\(205\) −11.0837 19.1975i −0.774117 1.34081i
\(206\) 4.69880 + 2.71285i 0.327381 + 0.189013i
\(207\) 1.12527 1.12527i 0.0782118 0.0782118i
\(208\) −12.4041 + 21.4845i −0.860068 + 1.48968i
\(209\) 4.05507 + 1.08655i 0.280495 + 0.0751583i
\(210\) 11.5739 43.1943i 0.798674 2.98069i
\(211\) −6.92280 6.92280i −0.476585 0.476585i 0.427453 0.904038i \(-0.359411\pi\)
−0.904038 + 0.427453i \(0.859411\pi\)
\(212\) −9.11058 + 5.25999i −0.625717 + 0.361258i
\(213\) 0.729908i 0.0500125i
\(214\) 0.953746 + 0.953746i 0.0651967 + 0.0651967i
\(215\) −6.89727 24.3857i −0.470390 1.66309i
\(216\) 5.03822 5.03822i 0.342808 0.342808i
\(217\) 8.06739 0.547650
\(218\) 24.2789 + 6.50551i 1.64437 + 0.440609i
\(219\) 20.5375i 1.38780i
\(220\) −13.7304 23.7817i −0.925702 1.60336i
\(221\) 18.4264 + 9.71317i 1.23949 + 0.653379i
\(222\) 15.8640 27.4772i 1.06472 1.84415i
\(223\) 21.9471i 1.46968i −0.678238 0.734842i \(-0.737256\pi\)
0.678238 0.734842i \(-0.262744\pi\)
\(224\) 6.85738 + 25.5921i 0.458178 + 1.70994i
\(225\) −3.23943 5.61086i −0.215962 0.374057i
\(226\) 6.12157 6.12157i 0.407201 0.407201i
\(227\) 3.01703 11.2597i 0.200247 0.747332i −0.790599 0.612335i \(-0.790231\pi\)
0.990846 0.134998i \(-0.0431028\pi\)
\(228\) −1.47556 + 0.395374i −0.0977211 + 0.0261843i
\(229\) 7.55949 + 4.36447i 0.499545 + 0.288413i 0.728526 0.685018i \(-0.240206\pi\)
−0.228981 + 0.973431i \(0.573539\pi\)
\(230\) −14.8356 8.56535i −0.978232 0.564782i
\(231\) 24.6409 + 24.6409i 1.62125 + 1.62125i
\(232\) −1.81986 + 0.487630i −0.119480 + 0.0320145i
\(233\) −3.01226 11.2419i −0.197340 0.736482i −0.991649 0.128968i \(-0.958833\pi\)
0.794309 0.607514i \(-0.207833\pi\)
\(234\) 2.99172 + 5.18182i 0.195575 + 0.338746i
\(235\) −3.96165 1.06152i −0.258430 0.0692460i
\(236\) 10.2430i 0.666765i
\(237\) 15.6817 1.01863
\(238\) 29.7421 9.20945i 1.92790 0.596960i
\(239\) 10.2631 + 17.7763i 0.663867 + 1.14985i 0.979591 + 0.201001i \(0.0644194\pi\)
−0.315724 + 0.948851i \(0.602247\pi\)
\(240\) −25.1837 14.5398i −1.62560 0.938541i
\(241\) 5.05343 + 18.8596i 0.325520 + 1.21486i 0.913788 + 0.406191i \(0.133143\pi\)
−0.588269 + 0.808666i \(0.700190\pi\)
\(242\) 34.3674 2.20922
\(243\) −1.72027 6.42013i −0.110355 0.411852i
\(244\) 8.09457 2.16893i 0.518202 0.138852i
\(245\) −38.3947 + 10.2878i −2.45295 + 0.657265i
\(246\) −13.8250 + 7.98185i −0.881448 + 0.508904i
\(247\) 3.87723i 0.246702i
\(248\) 0.639443 2.38643i 0.0406047 0.151539i
\(249\) 11.1494 2.98748i 0.706565 0.189324i
\(250\) −24.4983 + 24.4983i −1.54941 + 1.54941i
\(251\) 3.59155 6.22074i 0.226696 0.392650i −0.730131 0.683308i \(-0.760541\pi\)
0.956827 + 0.290658i \(0.0938742\pi\)
\(252\) 3.40166 + 0.911472i 0.214284 + 0.0574173i
\(253\) 11.5610 6.67472i 0.726831 0.419636i
\(254\) −22.0941 −1.38631
\(255\) −11.3856 + 21.5991i −0.712994 + 1.35259i
\(256\) 20.8717 1.30448
\(257\) 6.61550i 0.412664i −0.978482 0.206332i \(-0.933847\pi\)
0.978482 0.206332i \(-0.0661526\pi\)
\(258\) −17.5612 + 4.96703i −1.09332 + 0.309234i
\(259\) −47.3965 −2.94508
\(260\) 17.9335 17.9335i 1.11219 1.11219i
\(261\) −0.249736 + 0.932026i −0.0154582 + 0.0576910i
\(262\) −22.3984 22.3984i −1.38378 1.38378i
\(263\) −15.0199 + 8.67174i −0.926166 + 0.534722i −0.885597 0.464454i \(-0.846250\pi\)
−0.0405691 + 0.999177i \(0.512917\pi\)
\(264\) 9.24218 5.33598i 0.568817 0.328407i
\(265\) −30.2318 + 8.10057i −1.85712 + 0.497614i
\(266\) 4.09804 + 4.09804i 0.251267 + 0.251267i
\(267\) 2.58266 + 9.63862i 0.158056 + 0.589874i
\(268\) −4.98561 8.63533i −0.304545 0.527487i
\(269\) −6.86445 + 6.86445i −0.418533 + 0.418533i −0.884698 0.466165i \(-0.845635\pi\)
0.466165 + 0.884698i \(0.345635\pi\)
\(270\) −34.0186 + 19.6406i −2.07030 + 1.19529i
\(271\) 9.82155 17.0114i 0.596616 1.03337i −0.396700 0.917948i \(-0.629845\pi\)
0.993317 0.115422i \(-0.0368219\pi\)
\(272\) −0.778930 20.2319i −0.0472296 1.22674i
\(273\) −16.0920 + 27.8721i −0.973930 + 1.68690i
\(274\) 3.74690i 0.226358i
\(275\) −14.0665 52.4969i −0.848241 3.16568i
\(276\) −2.42880 + 4.20680i −0.146196 + 0.253220i
\(277\) −0.532838 0.142774i −0.0320152 0.00857844i 0.242776 0.970082i \(-0.421942\pi\)
−0.274791 + 0.961504i \(0.588609\pi\)
\(278\) −4.05917 + 15.1490i −0.243453 + 0.908579i
\(279\) −0.894708 0.894708i −0.0535647 0.0535647i
\(280\) 20.4579i 1.22259i
\(281\) 8.61291 4.97266i 0.513803 0.296644i −0.220593 0.975366i \(-0.570799\pi\)
0.734395 + 0.678722i \(0.237466\pi\)
\(282\) −0.764450 + 2.85297i −0.0455223 + 0.169892i
\(283\) −1.19925 + 0.321337i −0.0712879 + 0.0191015i −0.294287 0.955717i \(-0.595082\pi\)
0.222999 + 0.974819i \(0.428415\pi\)
\(284\) 0.160152 + 0.597694i 0.00950324 + 0.0354666i
\(285\) −4.54482 −0.269212
\(286\) 12.9909 + 48.4826i 0.768167 + 2.86684i
\(287\) 20.6523 + 11.9236i 1.21907 + 0.703830i
\(288\) 2.07776 3.59878i 0.122433 0.212060i
\(289\) −16.9497 + 1.30706i −0.997040 + 0.0768861i
\(290\) 10.3869 0.609941
\(291\) −6.99050 + 4.03597i −0.409790 + 0.236592i
\(292\) 4.50620 + 16.8174i 0.263705 + 0.984162i
\(293\) 7.40267 0.432468 0.216234 0.976342i \(-0.430623\pi\)
0.216234 + 0.976342i \(0.430623\pi\)
\(294\) 7.40872 + 27.6497i 0.432086 + 1.61257i
\(295\) −7.88731 + 29.4359i −0.459217 + 1.71382i
\(296\) −3.75678 + 14.0205i −0.218358 + 0.814924i
\(297\) 30.6107i 1.77621i
\(298\) 29.0210 16.7553i 1.68114 0.970606i
\(299\) 8.71799 + 8.71799i 0.504174 + 0.504174i
\(300\) 13.9840 + 13.9840i 0.807369 + 0.807369i
\(301\) 19.5428 + 19.0091i 1.12643 + 1.09567i
\(302\) −9.89913 −0.569631
\(303\) −8.45814 + 8.45814i −0.485908 + 0.485908i
\(304\) 3.26383 1.88437i 0.187193 0.108076i
\(305\) 24.9318 1.42759
\(306\) −4.31989 2.27716i −0.246952 0.130177i
\(307\) 1.99240 + 3.45094i 0.113712 + 0.196955i 0.917264 0.398279i \(-0.130392\pi\)
−0.803552 + 0.595235i \(0.797059\pi\)
\(308\) 25.5840 + 14.7709i 1.45778 + 0.841652i
\(309\) 3.23662 3.23662i 0.184125 0.184125i
\(310\) −6.81034 + 11.7959i −0.386801 + 0.669959i
\(311\) 4.61565 + 1.23676i 0.261730 + 0.0701303i 0.387298 0.921955i \(-0.373409\pi\)
−0.125568 + 0.992085i \(0.540075\pi\)
\(312\) 6.96942 + 6.96942i 0.394566 + 0.394566i
\(313\) 2.48316 9.26730i 0.140357 0.523819i −0.859561 0.511032i \(-0.829263\pi\)
0.999918 0.0127862i \(-0.00407009\pi\)
\(314\) −29.4485 17.0021i −1.66188 0.959484i
\(315\) 9.07365 + 5.23867i 0.511242 + 0.295166i
\(316\) 12.8411 3.44076i 0.722369 0.193558i
\(317\) 7.95836 + 7.95836i 0.446986 + 0.446986i 0.894351 0.447365i \(-0.147638\pi\)
−0.447365 + 0.894351i \(0.647638\pi\)
\(318\) 5.83359 + 21.7713i 0.327131 + 1.22087i
\(319\) −4.04711 + 7.00980i −0.226595 + 0.392474i
\(320\) −6.54634 1.75409i −0.365951 0.0980564i
\(321\) 0.985438 0.568943i 0.0550018 0.0317553i
\(322\) 18.4289 1.02700
\(323\) −1.68644 2.67752i −0.0938360 0.148981i
\(324\) 4.29874 + 7.44564i 0.238819 + 0.413647i
\(325\) 43.4698 25.0973i 2.41127 1.39215i
\(326\) −7.40180 27.6239i −0.409948 1.52995i
\(327\) 10.6024 18.3640i 0.586316 1.01553i
\(328\) 5.16412 5.16412i 0.285141 0.285141i
\(329\) 4.26188 1.14197i 0.234965 0.0629588i
\(330\) −56.8304 + 15.2277i −3.12841 + 0.838255i
\(331\) 9.78619 + 5.65006i 0.537898 + 0.310555i 0.744227 0.667927i \(-0.232818\pi\)
−0.206329 + 0.978483i \(0.566152\pi\)
\(332\) 8.47433 4.89266i 0.465090 0.268520i
\(333\) 5.25648 + 5.25648i 0.288053 + 0.288053i
\(334\) −4.10264 + 15.3113i −0.224487 + 0.837796i
\(335\) −7.67801 28.6547i −0.419495 1.56558i
\(336\) 31.2834 1.70665
\(337\) 1.39581 + 5.20922i 0.0760345 + 0.283764i 0.993466 0.114129i \(-0.0364079\pi\)
−0.917431 + 0.397894i \(0.869741\pi\)
\(338\) −19.6972 + 11.3722i −1.07139 + 0.618566i
\(339\) −3.65173 6.32498i −0.198335 0.343526i
\(340\) −4.58410 + 20.1848i −0.248608 + 1.09468i
\(341\) −5.30710 9.19216i −0.287395 0.497783i
\(342\) 0.908980i 0.0491520i
\(343\) 9.65807 9.65807i 0.521487 0.521487i
\(344\) 7.17214 4.27428i 0.386696 0.230454i
\(345\) −10.2191 + 10.2191i −0.550175 + 0.550175i
\(346\) 22.0515 + 22.0515i 1.18549 + 1.18549i
\(347\) −0.864216 + 3.22530i −0.0463935 + 0.173143i −0.985235 0.171206i \(-0.945234\pi\)
0.938842 + 0.344349i \(0.111900\pi\)
\(348\) 2.94533i 0.157886i
\(349\) −10.3762 + 5.99068i −0.555423 + 0.320674i −0.751306 0.659954i \(-0.770576\pi\)
0.195883 + 0.980627i \(0.437243\pi\)
\(350\) 19.4188 72.4720i 1.03798 3.87379i
\(351\) 27.3077 7.31708i 1.45758 0.390557i
\(352\) 24.6491 24.6491i 1.31380 1.31380i
\(353\) −6.95334 + 12.0435i −0.370089 + 0.641013i −0.989579 0.143992i \(-0.954006\pi\)
0.619490 + 0.785005i \(0.287339\pi\)
\(354\) 21.1981 + 5.68001i 1.12667 + 0.301889i
\(355\) 1.84094i 0.0977068i
\(356\) 4.22968 + 7.32603i 0.224173 + 0.388279i
\(357\) −1.01052 26.2472i −0.0534822 1.38915i
\(358\) −22.1479 + 38.3613i −1.17055 + 2.02746i
\(359\) 4.95088 + 2.85839i 0.261298 + 0.150860i 0.624926 0.780684i \(-0.285129\pi\)
−0.363629 + 0.931544i \(0.618462\pi\)
\(360\) 2.26887 2.26887i 0.119580 0.119580i
\(361\) −9.20549 + 15.9444i −0.484500 + 0.839178i
\(362\) −0.655778 2.44740i −0.0344669 0.128632i
\(363\) 7.50402 28.0054i 0.393859 1.46990i
\(364\) −7.06158 + 26.3542i −0.370127 + 1.38133i
\(365\) 51.7987i 2.71127i
\(366\) 17.9545i 0.938499i
\(367\) 3.06892 11.4534i 0.160196 0.597861i −0.838408 0.545044i \(-0.816513\pi\)
0.998604 0.0528178i \(-0.0168203\pi\)
\(368\) 3.10172 11.5758i 0.161688 0.603429i
\(369\) −0.968051 3.61282i −0.0503947 0.188076i
\(370\) 40.0113 69.3016i 2.08009 3.60282i
\(371\) 23.8084 23.8084i 1.23607 1.23607i
\(372\) 3.34484 + 1.93115i 0.173422 + 0.100125i
\(373\) −8.04360 + 13.9319i −0.416482 + 0.721368i −0.995583 0.0938882i \(-0.970070\pi\)
0.579101 + 0.815256i \(0.303404\pi\)
\(374\) −30.0592 27.8304i −1.55432 1.43908i
\(375\) 14.6141 + 25.3123i 0.754668 + 1.30712i
\(376\) 1.35123i 0.0696846i
\(377\) −7.22083 1.93481i −0.371891 0.0996480i
\(378\) 21.1291 36.5966i 1.08676 1.88233i
\(379\) −2.10370 + 2.10370i −0.108060 + 0.108060i −0.759070 0.651010i \(-0.774346\pi\)
0.651010 + 0.759070i \(0.274346\pi\)
\(380\) −3.72158 + 0.997193i −0.190913 + 0.0511549i
\(381\) −4.82418 + 18.0041i −0.247150 + 0.922378i
\(382\) −28.0954 + 16.2209i −1.43749 + 0.829932i
\(383\) 25.8551i 1.32113i −0.750767 0.660567i \(-0.770316\pi\)
0.750767 0.660567i \(-0.229684\pi\)
\(384\) 3.79147 14.1499i 0.193482 0.722086i
\(385\) 62.1480 + 62.1480i 3.16735 + 3.16735i
\(386\) −21.4873 + 21.4873i −1.09368 + 1.09368i
\(387\) −0.0591842 4.27557i −0.00300850 0.217339i
\(388\) −4.83870 + 4.83870i −0.245648 + 0.245648i
\(389\) 21.2883i 1.07936i 0.841870 + 0.539680i \(0.181455\pi\)
−0.841870 + 0.539680i \(0.818545\pi\)
\(390\) −27.1691 47.0582i −1.37576 2.38289i
\(391\) −9.81240 2.22846i −0.496235 0.112698i
\(392\) −6.54780 11.3411i −0.330714 0.572813i
\(393\) −23.1427 + 13.3614i −1.16739 + 0.673995i
\(394\) 10.1962 + 38.0529i 0.513679 + 1.91708i
\(395\) 39.5515 1.99005
\(396\) −1.19922 4.47553i −0.0602629 0.224904i
\(397\) −6.78841 + 25.3347i −0.340701 + 1.27151i 0.556854 + 0.830610i \(0.312008\pi\)
−0.897555 + 0.440902i \(0.854659\pi\)
\(398\) 8.21864 + 8.21864i 0.411963 + 0.411963i
\(399\) 4.23421 2.44462i 0.211976 0.122384i
\(400\) −42.2535 24.3951i −2.11268 1.21975i
\(401\) 24.7082 6.62055i 1.23387 0.330614i 0.417785 0.908546i \(-0.362807\pi\)
0.816085 + 0.577932i \(0.196140\pi\)
\(402\) −20.6356 + 5.52928i −1.02921 + 0.275776i
\(403\) 6.93170 6.93170i 0.345293 0.345293i
\(404\) −5.07022 + 8.78188i −0.252253 + 0.436915i
\(405\) 6.62021 + 24.7070i 0.328961 + 1.22770i
\(406\) −9.67705 + 5.58704i −0.480264 + 0.277280i
\(407\) 31.1796 + 54.0047i 1.54552 + 2.67691i
\(408\) −7.84433 1.78150i −0.388352 0.0881973i
\(409\) 3.42782 0.169495 0.0847473 0.996402i \(-0.472992\pi\)
0.0847473 + 0.996402i \(0.472992\pi\)
\(410\) −34.8687 + 20.1314i −1.72204 + 0.994220i
\(411\) 3.05328 + 0.818123i 0.150607 + 0.0403550i
\(412\) 1.94019 3.36050i 0.0955862 0.165560i
\(413\) −8.48505 31.6666i −0.417522 1.55821i
\(414\) −2.04385 2.04385i −0.100450 0.100450i
\(415\) 28.1205 7.53486i 1.38038 0.369872i
\(416\) 27.8814 + 16.0973i 1.36700 + 0.789237i
\(417\) 11.4584 + 6.61549i 0.561119 + 0.323962i
\(418\) 1.97352 7.36527i 0.0965280 0.360247i
\(419\) −8.04125 8.04125i −0.392841 0.392841i 0.482858 0.875699i \(-0.339599\pi\)
−0.875699 + 0.482858i \(0.839599\pi\)
\(420\) −30.8919 8.27745i −1.50737 0.403898i
\(421\) −4.03374 + 6.98664i −0.196592 + 0.340508i −0.947421 0.319989i \(-0.896321\pi\)
0.750829 + 0.660497i \(0.229654\pi\)
\(422\) −12.5740 + 12.5740i −0.612092 + 0.612092i
\(423\) −0.599310 0.346012i −0.0291395 0.0168237i
\(424\) −5.15570 8.92993i −0.250383 0.433676i
\(425\) −19.1029 + 36.2392i −0.926627 + 1.75786i
\(426\) 1.32574 0.0642324
\(427\) −23.2279 + 13.4106i −1.12408 + 0.648986i
\(428\) 0.682103 0.682103i 0.0329707 0.0329707i
\(429\) 42.3441 2.04439
\(430\) −44.2921 + 12.5276i −2.13595 + 0.604135i
\(431\) −15.9563 15.9563i −0.768586 0.768586i 0.209271 0.977858i \(-0.432891\pi\)
−0.977858 + 0.209271i \(0.932891\pi\)
\(432\) −19.4313 19.4313i −0.934888 0.934888i
\(433\) −0.0994844 + 0.0574373i −0.00478091 + 0.00276026i −0.502389 0.864642i \(-0.667545\pi\)
0.497608 + 0.867402i \(0.334212\pi\)
\(434\) 14.6529i 0.703362i
\(435\) 2.26795 8.46411i 0.108740 0.405823i
\(436\) 4.65263 17.3639i 0.222821 0.831578i
\(437\) −0.484764 1.80916i −0.0231894 0.0865440i
\(438\) 37.3026 1.78239
\(439\) −3.57943 13.3586i −0.170837 0.637572i −0.997223 0.0744689i \(-0.976274\pi\)
0.826386 0.563104i \(-0.190393\pi\)
\(440\) 23.3102 13.4581i 1.11127 0.641591i
\(441\) −6.70680 −0.319372
\(442\) 17.6422 33.4682i 0.839153 1.59192i
\(443\) −19.7167 + 34.1503i −0.936767 + 1.62253i −0.165315 + 0.986241i \(0.552864\pi\)
−0.771452 + 0.636288i \(0.780469\pi\)
\(444\) −19.6512 11.3456i −0.932605 0.538440i
\(445\) 6.51386 + 24.3101i 0.308787 + 1.15241i
\(446\) −39.8628 −1.88756
\(447\) −7.31691 27.3071i −0.346078 1.29158i
\(448\) 7.04245 1.88702i 0.332724 0.0891532i
\(449\) 2.03334 7.58854i 0.0959594 0.358126i −0.901204 0.433396i \(-0.857315\pi\)
0.997163 + 0.0752702i \(0.0239819\pi\)
\(450\) −10.1911 + 5.88382i −0.480412 + 0.277366i
\(451\) 31.3757i 1.47742i
\(452\) −4.37805 4.37805i −0.205926 0.205926i
\(453\) −2.16144 + 8.06662i −0.101553 + 0.379003i
\(454\) −20.4512 5.47987i −0.959820 0.257183i
\(455\) −40.5863 + 70.2976i −1.90272 + 3.29560i
\(456\) −0.387535 1.44630i −0.0181480 0.0677292i
\(457\) 19.6658i 0.919927i −0.887938 0.459963i \(-0.847863\pi\)
0.887938 0.459963i \(-0.152137\pi\)
\(458\) 7.92726 13.7304i 0.370416 0.641580i
\(459\) −15.6754 + 16.9308i −0.731666 + 0.790260i
\(460\) −6.12579 + 10.6102i −0.285617 + 0.494702i
\(461\) 1.76536 1.01923i 0.0822212 0.0474704i −0.458326 0.888784i \(-0.651551\pi\)
0.540547 + 0.841314i \(0.318217\pi\)
\(462\) 44.7556 44.7556i 2.08222 2.08222i
\(463\) −16.8380 29.1643i −0.782530 1.35538i −0.930464 0.366384i \(-0.880596\pi\)
0.147934 0.988997i \(-0.452738\pi\)
\(464\) 1.88068 + 7.01878i 0.0873082 + 0.325839i
\(465\) 8.12521 + 8.12521i 0.376797 + 0.376797i
\(466\) −20.4188 + 5.47121i −0.945885 + 0.253449i
\(467\) 21.7061 12.5320i 1.00444 0.579913i 0.0948797 0.995489i \(-0.469753\pi\)
0.909558 + 0.415576i \(0.136420\pi\)
\(468\) 3.70595 2.13963i 0.171308 0.0989045i
\(469\) 22.5664 + 22.5664i 1.04202 + 1.04202i
\(470\) −1.92806 + 7.19561i −0.0889346 + 0.331909i
\(471\) −20.2847 + 20.2847i −0.934669 + 0.934669i
\(472\) −10.0399 −0.462125
\(473\) 8.80328 34.7725i 0.404775 1.59884i
\(474\) 28.4828i 1.30826i
\(475\) −7.62535 −0.349875
\(476\) −6.58645 21.2711i −0.301889 0.974958i
\(477\) −5.28090 −0.241796
\(478\) 32.2873 18.6411i 1.47679 0.852623i
\(479\) 36.3166 + 9.73101i 1.65935 + 0.444621i 0.962209 0.272314i \(-0.0877888\pi\)
0.697140 + 0.716935i \(0.254455\pi\)
\(480\) −18.8690 + 32.6820i −0.861247 + 1.49172i
\(481\) −40.7243 + 40.7243i −1.85687 + 1.85687i
\(482\) 34.2550 9.17861i 1.56027 0.418074i
\(483\) 4.02390 15.0174i 0.183094 0.683315i
\(484\) 24.5790i 1.11723i
\(485\) −17.6311 + 10.1793i −0.800586 + 0.462219i
\(486\) −11.6610 + 3.12455i −0.528953 + 0.141732i
\(487\) −30.5389 + 8.18288i −1.38385 + 0.370802i −0.872518 0.488581i \(-0.837515\pi\)
−0.511332 + 0.859383i \(0.670848\pi\)
\(488\) 2.12593 + 7.93407i 0.0962362 + 0.359159i
\(489\) −24.1264 −1.09103
\(490\) 18.6859 + 69.7368i 0.844144 + 3.15039i
\(491\) −0.954447 0.551050i −0.0430736 0.0248685i 0.478309 0.878192i \(-0.341250\pi\)
−0.521382 + 0.853323i \(0.674583\pi\)
\(492\) 5.70849 + 9.88739i 0.257358 + 0.445758i
\(493\) 5.82809 1.80463i 0.262484 0.0812765i
\(494\) 7.04227 0.316847
\(495\) 13.7850i 0.619588i
\(496\) −9.20394 2.46619i −0.413269 0.110735i
\(497\) −0.990226 1.71512i −0.0444177 0.0769337i
\(498\) −5.42620 20.2508i −0.243154 0.907462i
\(499\) 7.82057 2.09552i 0.350097 0.0938081i −0.0794851 0.996836i \(-0.525328\pi\)
0.429582 + 0.903028i \(0.358661\pi\)
\(500\) 17.5208 + 17.5208i 0.783553 + 0.783553i
\(501\) 11.5811 + 6.68634i 0.517404 + 0.298723i
\(502\) −11.2988 6.52338i −0.504291 0.291153i
\(503\) 17.7448 4.75470i 0.791201 0.212002i 0.159484 0.987201i \(-0.449017\pi\)
0.631717 + 0.775199i \(0.282350\pi\)
\(504\) −0.893399 + 3.33421i −0.0397952 + 0.148518i
\(505\) −21.3327 + 21.3327i −0.949293 + 0.949293i
\(506\) −12.1234 20.9983i −0.538951 0.933490i
\(507\) 4.96616 + 18.5340i 0.220555 + 0.823123i
\(508\) 15.8014i 0.701072i
\(509\) −5.18003 + 8.97208i −0.229601 + 0.397681i −0.957690 0.287802i \(-0.907075\pi\)
0.728089 + 0.685483i \(0.240409\pi\)
\(510\) 39.2307 + 20.6798i 1.73717 + 0.915718i
\(511\) −27.8621 48.2586i −1.23255 2.13483i
\(512\) 18.7891i 0.830368i
\(513\) −4.14847 1.11158i −0.183159 0.0490774i
\(514\) −12.0158 −0.529996
\(515\) 8.16325 8.16325i 0.359716 0.359716i
\(516\) 3.55234 + 12.5595i 0.156383 + 0.552901i
\(517\) −4.10485 4.10485i −0.180531 0.180531i
\(518\) 86.0870i 3.78245i
\(519\) 22.7842 13.1545i 1.00012 0.577417i
\(520\) 17.5779 + 17.5779i 0.770843 + 0.770843i
\(521\) −3.38560 + 12.6352i −0.148326 + 0.553560i 0.851259 + 0.524746i \(0.175840\pi\)
−0.999585 + 0.0288138i \(0.990827\pi\)
\(522\) 1.69285 + 0.453598i 0.0740941 + 0.0198535i
\(523\) −12.5914 + 21.8090i −0.550584 + 0.953640i 0.447648 + 0.894210i \(0.352262\pi\)
−0.998232 + 0.0594299i \(0.981072\pi\)
\(524\) −16.0190 + 16.0190i −0.699792 + 0.699792i
\(525\) −54.8161 31.6481i −2.39237 1.38123i
\(526\) 15.7506 + 27.2808i 0.686759 + 1.18950i
\(527\) −1.77186 + 7.80188i −0.0771832 + 0.339855i
\(528\) −20.5797 35.6450i −0.895614 1.55125i
\(529\) 14.7607 + 8.52208i 0.641769 + 0.370525i
\(530\) 14.7132 + 54.9104i 0.639100 + 2.38515i
\(531\) −2.57094 + 4.45299i −0.111569 + 0.193243i
\(532\) 2.93085 2.93085i 0.127068 0.127068i
\(533\) 27.9901 7.49993i 1.21239 0.324858i
\(534\) 17.5068 4.69092i 0.757592 0.202996i
\(535\) 2.48542 1.43496i 0.107454 0.0620387i
\(536\) 8.46411 4.88676i 0.365594 0.211076i
\(537\) 26.4240 + 26.4240i 1.14028 + 1.14028i
\(538\) 12.4680 + 12.4680i 0.537533 + 0.537533i
\(539\) −54.3438 14.5614i −2.34075 0.627203i
\(540\) 14.0467 + 24.3295i 0.604472 + 1.04698i
\(541\) −9.81091 36.6148i −0.421804 1.57419i −0.770805 0.637071i \(-0.780146\pi\)
0.349001 0.937122i \(-0.386521\pi\)
\(542\) −30.8981 17.8390i −1.32719 0.766251i
\(543\) −2.13753 −0.0917300
\(544\) −26.2559 + 1.01085i −1.12571 + 0.0433400i
\(545\) 26.7409 46.3167i 1.14546 1.98399i
\(546\) 50.6245 + 29.2281i 2.16653 + 1.25085i
\(547\) −19.4040 5.19930i −0.829657 0.222306i −0.181093 0.983466i \(-0.557963\pi\)
−0.648564 + 0.761160i \(0.724630\pi\)
\(548\) 2.67972 0.114472
\(549\) 4.06337 + 1.08878i 0.173420 + 0.0464679i
\(550\) −95.3508 + 25.5492i −4.06577 + 1.08942i
\(551\) 0.803028 + 0.803028i 0.0342101 + 0.0342101i
\(552\) −4.12339 2.38064i −0.175503 0.101327i
\(553\) −36.8484 + 21.2744i −1.56695 + 0.904681i
\(554\) −0.259322 + 0.967802i −0.0110175 + 0.0411180i
\(555\) −47.7362 47.7362i −2.02629 2.02629i
\(556\) 10.8343 + 2.90305i 0.459478 + 0.123117i
\(557\) 14.9323 0.632700 0.316350 0.948642i \(-0.397543\pi\)
0.316350 + 0.948642i \(0.397543\pi\)
\(558\) −1.62507 + 1.62507i −0.0687947 + 0.0687947i
\(559\) 33.1247 0.458527i 1.40103 0.0193936i
\(560\) 78.9014 3.33419
\(561\) −29.2418 + 18.4180i −1.23459 + 0.777608i
\(562\) −9.03192 15.6437i −0.380989 0.659892i
\(563\) 18.3478i 0.773269i −0.922233 0.386635i \(-0.873637\pi\)
0.922233 0.386635i \(-0.126363\pi\)
\(564\) 2.04039 + 0.546722i 0.0859160 + 0.0230211i
\(565\) −9.21021 15.9526i −0.387477 0.671129i
\(566\) 0.583650 + 2.17821i 0.0245326 + 0.0915570i
\(567\) −19.4574 19.4574i −0.817136 0.817136i
\(568\) −0.585842 + 0.156976i −0.0245814 + 0.00658657i
\(569\) −10.6864 + 6.16979i −0.447997 + 0.258651i −0.706984 0.707230i \(-0.749945\pi\)
0.258987 + 0.965881i \(0.416611\pi\)
\(570\) 8.25482i 0.345756i
\(571\) 7.54186 28.1466i 0.315617 1.17790i −0.607797 0.794093i \(-0.707946\pi\)
0.923414 0.383806i \(-0.125387\pi\)
\(572\) 34.6740 9.29086i 1.44979 0.388470i
\(573\) 7.08356 + 26.4362i 0.295920 + 1.10439i
\(574\) 21.6571 37.5112i 0.903949 1.56569i
\(575\) −17.1457 + 17.1457i −0.715024 + 0.715024i
\(576\) −0.990316 0.571759i −0.0412632 0.0238233i
\(577\) −2.91967 + 5.05702i −0.121548 + 0.210527i −0.920378 0.391029i \(-0.872119\pi\)
0.798831 + 0.601556i \(0.205452\pi\)
\(578\) 2.37404 + 30.7859i 0.0987470 + 1.28053i
\(579\) 12.8179 + 22.2013i 0.532695 + 0.922654i
\(580\) 7.42855i 0.308454i
\(581\) −22.1457 + 22.1457i −0.918758 + 0.918758i
\(582\) 7.33058 + 12.6969i 0.303862 + 0.526305i
\(583\) −42.7900 11.4656i −1.77218 0.474855i
\(584\) −16.4839 + 4.41685i −0.682109 + 0.182771i
\(585\) 12.2975 3.29511i 0.508439 0.136236i
\(586\) 13.4456i 0.555431i
\(587\) 16.9383 + 9.77934i 0.699119 + 0.403637i 0.807019 0.590525i \(-0.201079\pi\)
−0.107900 + 0.994162i \(0.534413\pi\)
\(588\) 19.7746 5.29860i 0.815492 0.218510i
\(589\) −1.43847 + 0.385437i −0.0592712 + 0.0158817i
\(590\) 53.4648 + 14.3258i 2.20111 + 0.589786i
\(591\) 33.2349 1.36710
\(592\) 54.0738 + 14.4890i 2.22242 + 0.595496i
\(593\) 15.0469 + 8.68731i 0.617901 + 0.356745i 0.776051 0.630670i \(-0.217220\pi\)
−0.158151 + 0.987415i \(0.550553\pi\)
\(594\) −55.5987 −2.28124
\(595\) −2.54867 66.1993i −0.104485 2.71391i
\(596\) −11.9831 20.7553i −0.490846 0.850170i
\(597\) 8.49173 4.90270i 0.347543 0.200654i
\(598\) 15.8346 15.8346i 0.647525 0.647525i
\(599\) −11.9892 20.7658i −0.489864 0.848469i 0.510068 0.860134i \(-0.329620\pi\)
−0.999932 + 0.0116649i \(0.996287\pi\)
\(600\) −13.7068 + 13.7068i −0.559576 + 0.559576i
\(601\) 18.2613 + 18.2613i 0.744894 + 0.744894i 0.973515 0.228621i \(-0.0734217\pi\)
−0.228621 + 0.973515i \(0.573422\pi\)
\(602\) 34.5265 35.4958i 1.40720 1.44670i
\(603\) 5.00543i 0.203837i
\(604\) 7.07969i 0.288069i
\(605\) 18.9263 70.6337i 0.769462 2.87167i
\(606\) 15.3626 + 15.3626i 0.624065 + 0.624065i
\(607\) −36.4147 9.75729i −1.47803 0.396036i −0.572351 0.820008i \(-0.693969\pi\)
−0.905675 + 0.423972i \(0.860635\pi\)
\(608\) −2.44544 4.23562i −0.0991756 0.171777i
\(609\) 2.43983 + 9.10556i 0.0988668 + 0.368976i
\(610\) 45.2841i 1.83350i
\(611\) 2.68071 4.64313i 0.108450 0.187841i
\(612\) −1.62859 + 3.08952i −0.0658317 + 0.124886i
\(613\) −5.61101 −0.226627 −0.113313 0.993559i \(-0.536146\pi\)
−0.113313 + 0.993559i \(0.536146\pi\)
\(614\) 6.26799 3.61882i 0.252955 0.146044i
\(615\) 8.79127 + 32.8095i 0.354498 + 1.32300i
\(616\) −14.4781 + 25.0767i −0.583337 + 1.01037i
\(617\) 12.4802 + 46.5769i 0.502435 + 1.87511i 0.483596 + 0.875291i \(0.339330\pi\)
0.0188388 + 0.999823i \(0.494003\pi\)
\(618\) −5.87872 5.87872i −0.236477 0.236477i
\(619\) 7.61138 2.03946i 0.305927 0.0819729i −0.102590 0.994724i \(-0.532713\pi\)
0.408517 + 0.912751i \(0.366046\pi\)
\(620\) 8.43620 + 4.87064i 0.338806 + 0.195610i
\(621\) −11.8273 + 6.82847i −0.474612 + 0.274017i
\(622\) 2.24635 8.38348i 0.0900703 0.336147i
\(623\) −19.1449 19.1449i −0.767023 0.767023i
\(624\) 26.8795 26.8795i 1.07604 1.07604i
\(625\) 12.0197 + 20.8187i 0.480788 + 0.832749i
\(626\) −16.8323 4.51021i −0.672755 0.180264i
\(627\) −5.57091 3.21637i −0.222481 0.128449i
\(628\) −12.1596 + 21.0611i −0.485222 + 0.840429i
\(629\) 10.4098 45.8366i 0.415065 1.82763i
\(630\) 9.51508 16.4806i 0.379090 0.656603i
\(631\) 6.56762 + 3.79182i 0.261453 + 0.150950i 0.624997 0.780627i \(-0.285100\pi\)
−0.363544 + 0.931577i \(0.618433\pi\)
\(632\) 3.37254 + 12.5865i 0.134152 + 0.500664i
\(633\) 7.50081 + 12.9918i 0.298131 + 0.516377i
\(634\) 14.4549 14.4549i 0.574077 0.574077i
\(635\) −12.1673 + 45.4090i −0.482845 + 1.80200i
\(636\) 15.5704 4.17208i 0.617408 0.165434i
\(637\) 51.9606i 2.05875i
\(638\) 12.7320 + 7.35083i 0.504065 + 0.291022i
\(639\) −0.0803940 + 0.300035i −0.00318034 + 0.0118692i
\(640\) 9.56265 35.6883i 0.377997 1.41070i
\(641\) −24.6255 + 24.6255i −0.972651 + 0.972651i −0.999636 0.0269852i \(-0.991409\pi\)
0.0269852 + 0.999636i \(0.491409\pi\)
\(642\) −1.03338 1.78986i −0.0407842 0.0706403i
\(643\) 10.2707 10.2707i 0.405036 0.405036i −0.474968 0.880003i \(-0.657540\pi\)
0.880003 + 0.474968i \(0.157540\pi\)
\(644\) 13.1801i 0.519367i
\(645\) 0.537476 + 38.8282i 0.0211631 + 1.52886i
\(646\) −4.86322 + 3.06310i −0.191341 + 0.120516i
\(647\) 0.717212 0.0281965 0.0140983 0.999901i \(-0.495512\pi\)
0.0140983 + 0.999901i \(0.495512\pi\)
\(648\) −7.29800 + 4.21350i −0.286693 + 0.165522i
\(649\) −30.4998 + 30.4998i −1.19722 + 1.19722i
\(650\) −45.5846 78.9549i −1.78798 3.09687i
\(651\) −11.9404 3.19942i −0.467981 0.125395i
\(652\) −19.7561 + 5.29364i −0.773710 + 0.207315i
\(653\) −28.3582 28.3582i −1.10974 1.10974i −0.993184 0.116557i \(-0.962814\pi\)
−0.116557 0.993184i \(-0.537186\pi\)
\(654\) −33.3547 19.2574i −1.30427 0.753023i
\(655\) −58.3693 + 33.6995i −2.28068 + 1.31675i
\(656\) −19.9168 19.9168i −0.777622 0.777622i
\(657\) −2.26206 + 8.44210i −0.0882512 + 0.329358i
\(658\) −2.07417 7.74092i −0.0808597 0.301773i
\(659\) 5.89510 10.2106i 0.229641 0.397749i −0.728061 0.685512i \(-0.759578\pi\)
0.957702 + 0.287763i \(0.0929116\pi\)
\(660\) 10.8906 + 40.6442i 0.423915 + 1.58207i
\(661\) 12.2173i 0.475198i −0.971363 0.237599i \(-0.923640\pi\)
0.971363 0.237599i \(-0.0763603\pi\)
\(662\) 10.2623 17.7748i 0.398855 0.690837i
\(663\) −23.4205 21.6840i −0.909576 0.842135i
\(664\) 4.79565 + 8.30630i 0.186107 + 0.322347i
\(665\) 10.6793 6.16570i 0.414126 0.239096i
\(666\) 9.54741 9.54741i 0.369955 0.369955i
\(667\) 3.61123 0.139827
\(668\) 10.9504 + 2.93414i 0.423682 + 0.113525i
\(669\) −8.70391 + 32.4834i −0.336513 + 1.25588i
\(670\) −52.0460 + 13.9457i −2.01071 + 0.538769i
\(671\) 30.5608 + 17.6443i 1.17979 + 0.681149i
\(672\) 40.5979i 1.56610i
\(673\) 4.23727 1.13537i 0.163335 0.0437655i −0.176225 0.984350i \(-0.556389\pi\)
0.339560 + 0.940584i \(0.389722\pi\)
\(674\) 9.46159 2.53522i 0.364447 0.0976532i
\(675\) 14.3905 + 53.7061i 0.553891 + 2.06715i
\(676\) 8.13320 + 14.0871i 0.312815 + 0.541812i
\(677\) 7.74743 7.74743i 0.297758 0.297758i −0.542377 0.840135i \(-0.682476\pi\)
0.840135 + 0.542377i \(0.182476\pi\)
\(678\) −11.4882 + 6.63269i −0.441200 + 0.254727i
\(679\) 10.9507 18.9672i 0.420251 0.727896i
\(680\) −19.7846 4.49320i −0.758704 0.172307i
\(681\) −8.93089 + 15.4688i −0.342232 + 0.592764i
\(682\) −16.6959 + 9.63935i −0.639317 + 0.369110i
\(683\) 8.84352 + 2.36961i 0.338388 + 0.0906708i 0.424012 0.905657i \(-0.360622\pi\)
−0.0856236 + 0.996328i \(0.527288\pi\)
\(684\) −0.650087 −0.0248567
\(685\) 7.70082 + 2.06343i 0.294233 + 0.0788396i
\(686\) −17.5421 17.5421i −0.669760 0.669760i
\(687\) −9.45777 9.45777i −0.360836 0.360836i
\(688\) −16.4849 27.6613i −0.628482 1.05458i
\(689\) 40.9135i 1.55868i
\(690\) 18.5610 + 18.5610i 0.706606 + 0.706606i
\(691\) 2.57753 9.61946i 0.0980538 0.365942i −0.899411 0.437104i \(-0.856004\pi\)
0.997465 + 0.0711623i \(0.0226708\pi\)
\(692\) 15.7708 15.7708i 0.599518 0.599518i
\(693\) 7.41482 + 12.8428i 0.281666 + 0.487859i
\(694\) 5.85815 + 1.56969i 0.222372 + 0.0595845i
\(695\) 28.8997 + 16.6853i 1.09623 + 0.632908i
\(696\) 2.88693 0.109429
\(697\) −16.0671 + 17.3538i −0.608586 + 0.657323i
\(698\) 10.8810 + 18.8464i 0.411850 + 0.713345i
\(699\) 17.8336i 0.674527i
\(700\) −51.8308 13.8880i −1.95902 0.524918i
\(701\) 20.3245 35.2031i 0.767646 1.32960i −0.171191 0.985238i \(-0.554761\pi\)
0.938836 0.344363i \(-0.111905\pi\)
\(702\) −13.2901 49.5994i −0.501603 1.87201i
\(703\) 8.45113 2.26447i 0.318740 0.0854062i
\(704\) −6.78296 6.78296i −0.255642 0.255642i
\(705\) 5.44258 + 3.14228i 0.204979 + 0.118345i
\(706\) 21.8749 + 12.6295i 0.823271 + 0.475316i
\(707\) 8.40006 31.3494i 0.315917 1.17902i
\(708\) 4.06225 15.1605i 0.152669 0.569767i
\(709\) 10.2918 10.2918i 0.386516 0.386516i −0.486927 0.873443i \(-0.661882\pi\)
0.873443 + 0.486927i \(0.161882\pi\)
\(710\) 3.34372 0.125488
\(711\) 6.44607 + 1.72722i 0.241747 + 0.0647758i
\(712\) −7.18077 + 4.14582i −0.269111 + 0.155371i
\(713\) −2.36775 + 4.10107i −0.0886731 + 0.153586i
\(714\) −47.6731 + 1.83542i −1.78412 + 0.0686887i
\(715\) 106.798 3.99403
\(716\) 27.4354 + 15.8398i 1.02531 + 0.591961i
\(717\) −8.14044 30.3806i −0.304010 1.13458i
\(718\) 5.19174 8.99236i 0.193754 0.335592i
\(719\) −37.0719 9.93338i −1.38255 0.370453i −0.510502 0.859877i \(-0.670540\pi\)
−0.872046 + 0.489424i \(0.837207\pi\)
\(720\) −8.75050 8.75050i −0.326112 0.326112i
\(721\) −3.21440 + 11.9963i −0.119710 + 0.446765i
\(722\) 28.9600 + 16.7201i 1.07778 + 0.622257i
\(723\) 29.9179i 1.11266i
\(724\) −1.75034 + 0.469002i −0.0650508 + 0.0174303i
\(725\) 3.80520 14.2012i 0.141322 0.527419i
\(726\) −50.8666 13.6297i −1.88783 0.505844i
\(727\) −36.3735 −1.34902 −0.674509 0.738267i \(-0.735645\pi\)
−0.674509 + 0.738267i \(0.735645\pi\)
\(728\) −25.8316 6.92156i −0.957384 0.256530i
\(729\) 30.0402i 1.11260i
\(730\) 94.0827 3.48216
\(731\) −22.6757 + 14.7246i −0.838691 + 0.544608i
\(732\) −12.8408 −0.474609
\(733\) 7.61455i 0.281250i 0.990063 + 0.140625i \(0.0449111\pi\)
−0.990063 + 0.140625i \(0.955089\pi\)
\(734\) −20.8029 5.57413i −0.767850 0.205745i
\(735\) 60.9072 2.24660
\(736\) −15.0224 4.02524i −0.553733 0.148372i
\(737\) 10.8675 40.5579i 0.400308 1.49397i
\(738\) −6.56201 + 1.75828i −0.241551 + 0.0647234i
\(739\) 23.7641i 0.874178i −0.899418 0.437089i \(-0.856009\pi\)
0.899418 0.437089i \(-0.143991\pi\)
\(740\) −49.5633 28.6154i −1.82198 1.05192i
\(741\) 1.53766 5.73862i 0.0564873 0.210813i
\(742\) −43.2435 43.2435i −1.58752 1.58752i
\(743\) 18.5174 + 4.96173i 0.679339 + 0.182028i 0.581958 0.813219i \(-0.302287\pi\)
0.0973811 + 0.995247i \(0.468953\pi\)
\(744\) −1.89286 + 3.27852i −0.0693954 + 0.120196i
\(745\) −18.4544 68.8726i −0.676115 2.52330i
\(746\) 25.3048 + 14.6097i 0.926473 + 0.534899i
\(747\) 4.91210 0.179724
\(748\) −19.9039 + 21.4978i −0.727757 + 0.786038i
\(749\) −1.54371 + 2.67378i −0.0564058 + 0.0976977i
\(750\) 45.9752 26.5438i 1.67878 0.969241i
\(751\) 10.7555 + 2.88193i 0.392475 + 0.105163i 0.449659 0.893200i \(-0.351546\pi\)
−0.0571843 + 0.998364i \(0.518212\pi\)
\(752\) −5.21140 −0.190040
\(753\) −7.78284 + 7.78284i −0.283622 + 0.283622i
\(754\) −3.51423 + 13.1153i −0.127981 + 0.477631i
\(755\) −5.45148 + 20.3452i −0.198400 + 0.740438i
\(756\) −26.1733 15.1112i −0.951914 0.549588i
\(757\) −28.6812 16.5591i −1.04244