Properties

Label 300.2.r.a.59.4
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.4
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37885 - 0.314289i) q^{2} +(1.03587 - 1.38816i) q^{3} +(1.80244 + 0.866714i) q^{4} +(1.94623 - 1.10099i) q^{5} +(-1.86458 + 1.58850i) q^{6} +2.63015 q^{7} +(-2.21290 - 1.76156i) q^{8} +(-0.853964 - 2.87589i) q^{9} +O(q^{10})\) \(q+(-1.37885 - 0.314289i) q^{2} +(1.03587 - 1.38816i) q^{3} +(1.80244 + 0.866714i) q^{4} +(1.94623 - 1.10099i) q^{5} +(-1.86458 + 1.58850i) q^{6} +2.63015 q^{7} +(-2.21290 - 1.76156i) q^{8} +(-0.853964 - 2.87589i) q^{9} +(-3.02959 + 0.906413i) q^{10} +(-0.908434 - 0.660016i) q^{11} +(3.07023 - 1.60428i) q^{12} +(4.15899 + 5.72437i) q^{13} +(-3.62658 - 0.826628i) q^{14} +(0.487695 - 3.84215i) q^{15} +(2.49761 + 3.12441i) q^{16} +(-1.53447 + 4.72262i) q^{17} +(0.273625 + 4.23381i) q^{18} +(-6.71489 - 2.18180i) q^{19} +(4.46222 - 0.297638i) q^{20} +(2.72448 - 3.65107i) q^{21} +(1.04516 + 1.19557i) q^{22} +(1.81587 - 2.49933i) q^{23} +(-4.73758 + 1.24712i) q^{24} +(2.57566 - 4.28556i) q^{25} +(-3.93552 - 9.20016i) q^{26} +(-4.87678 - 1.79360i) q^{27} +(4.74070 + 2.27959i) q^{28} +(-0.240777 + 0.0782332i) q^{29} +(-1.88000 + 5.14447i) q^{30} +(-4.71722 - 1.53272i) q^{31} +(-2.46186 - 5.09306i) q^{32} +(-1.85722 + 0.577362i) q^{33} +(3.60007 - 6.02951i) q^{34} +(5.11889 - 2.89576i) q^{35} +(0.953352 - 5.92378i) q^{36} +(-2.57019 - 3.53756i) q^{37} +(8.57310 + 5.11879i) q^{38} +(12.2545 + 0.156333i) q^{39} +(-6.24627 - 0.992030i) q^{40} +(2.13451 + 2.93790i) q^{41} +(-4.90414 + 4.17799i) q^{42} +7.40077 q^{43} +(-1.06536 - 1.97699i) q^{44} +(-4.82833 - 4.65695i) q^{45} +(-3.28932 + 2.87549i) q^{46} +(-9.30818 + 3.02441i) q^{47} +(6.92436 - 0.230613i) q^{48} -0.0823015 q^{49} +(-4.89834 + 5.09963i) q^{50} +(4.96624 + 7.02209i) q^{51} +(2.53497 + 13.9225i) q^{52} +(0.355319 + 1.09356i) q^{53} +(6.16063 + 4.00582i) q^{54} +(-2.49469 - 0.284372i) q^{55} +(-5.82026 - 4.63316i) q^{56} +(-9.98440 + 7.06127i) q^{57} +(0.356583 - 0.0321981i) q^{58} +(1.37468 - 0.998760i) q^{59} +(4.20909 - 6.50258i) q^{60} +(-3.31802 - 2.41068i) q^{61} +(6.02261 + 3.59595i) q^{62} +(-2.24605 - 7.56403i) q^{63} +(1.79384 + 7.79629i) q^{64} +(14.3968 + 6.56196i) q^{65} +(2.74228 - 0.212389i) q^{66} +(-0.555298 + 1.70903i) q^{67} +(-6.85897 + 7.18232i) q^{68} +(-1.58847 - 5.10969i) q^{69} +(-7.96828 + 2.38400i) q^{70} +(2.17375 + 6.69012i) q^{71} +(-3.17631 + 7.86836i) q^{72} +(-1.35514 + 1.86519i) q^{73} +(2.43208 + 5.68554i) q^{74} +(-3.28099 - 8.01468i) q^{75} +(-10.2122 - 9.75246i) q^{76} +(-2.38932 - 1.73594i) q^{77} +(-16.8479 - 4.06701i) q^{78} +(-5.36703 + 1.74385i) q^{79} +(8.30087 + 3.33099i) q^{80} +(-7.54149 + 4.91181i) q^{81} +(-2.01981 - 4.72177i) q^{82} +(8.73160 + 2.83707i) q^{83} +(8.07516 - 4.21949i) q^{84} +(2.21310 + 10.8808i) q^{85} +(-10.2045 - 2.32598i) q^{86} +(-0.140813 + 0.415276i) q^{87} +(0.847617 + 3.06080i) q^{88} +(-7.11762 + 9.79656i) q^{89} +(5.19390 + 7.93873i) q^{90} +(10.9388 + 15.0559i) q^{91} +(5.43921 - 2.93107i) q^{92} +(-7.01406 + 4.96055i) q^{93} +(13.7851 - 1.24474i) q^{94} +(-15.4709 + 3.14671i) q^{95} +(-9.62013 - 1.85827i) q^{96} +(1.59344 - 0.517741i) q^{97} +(0.113481 + 0.0258665i) q^{98} +(-1.12236 + 3.17619i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37885 0.314289i −0.974993 0.222236i
\(3\) 1.03587 1.38816i 0.598057 0.801453i
\(4\) 1.80244 + 0.866714i 0.901222 + 0.433357i
\(5\) 1.94623 1.10099i 0.870383 0.492376i
\(6\) −1.86458 + 1.58850i −0.761214 + 0.648501i
\(7\) 2.63015 0.994104 0.497052 0.867721i \(-0.334416\pi\)
0.497052 + 0.867721i \(0.334416\pi\)
\(8\) −2.21290 1.76156i −0.782378 0.622804i
\(9\) −0.853964 2.87589i −0.284655 0.958630i
\(10\) −3.02959 + 0.906413i −0.958040 + 0.286633i
\(11\) −0.908434 0.660016i −0.273903 0.199002i 0.442351 0.896842i \(-0.354145\pi\)
−0.716254 + 0.697840i \(0.754145\pi\)
\(12\) 3.07023 1.60428i 0.886298 0.463115i
\(13\) 4.15899 + 5.72437i 1.15350 + 1.58765i 0.732787 + 0.680459i \(0.238219\pi\)
0.420711 + 0.907195i \(0.361781\pi\)
\(14\) −3.62658 0.826628i −0.969244 0.220926i
\(15\) 0.487695 3.84215i 0.125922 0.992040i
\(16\) 2.49761 + 3.12441i 0.624403 + 0.781102i
\(17\) −1.53447 + 4.72262i −0.372164 + 1.14540i 0.573207 + 0.819410i \(0.305699\pi\)
−0.945372 + 0.325994i \(0.894301\pi\)
\(18\) 0.273625 + 4.23381i 0.0644941 + 0.997918i
\(19\) −6.71489 2.18180i −1.54050 0.500539i −0.588986 0.808143i \(-0.700473\pi\)
−0.951515 + 0.307604i \(0.900473\pi\)
\(20\) 4.46222 0.297638i 0.997783 0.0665539i
\(21\) 2.72448 3.65107i 0.594531 0.796728i
\(22\) 1.04516 + 1.19557i 0.222828 + 0.254897i
\(23\) 1.81587 2.49933i 0.378635 0.521147i −0.576587 0.817036i \(-0.695616\pi\)
0.955222 + 0.295889i \(0.0956159\pi\)
\(24\) −4.73758 + 1.24712i −0.967055 + 0.254567i
\(25\) 2.57566 4.28556i 0.515131 0.857111i
\(26\) −3.93552 9.20016i −0.771818 1.80430i
\(27\) −4.87678 1.79360i −0.938537 0.345178i
\(28\) 4.74070 + 2.27959i 0.895909 + 0.430802i
\(29\) −0.240777 + 0.0782332i −0.0447112 + 0.0145275i −0.331287 0.943530i \(-0.607483\pi\)
0.286576 + 0.958058i \(0.407483\pi\)
\(30\) −1.88000 + 5.14447i −0.343240 + 0.939248i
\(31\) −4.71722 1.53272i −0.847237 0.275284i −0.146949 0.989144i \(-0.546945\pi\)
−0.700288 + 0.713860i \(0.746945\pi\)
\(32\) −2.46186 5.09306i −0.435200 0.900334i
\(33\) −1.85722 + 0.577362i −0.323301 + 0.100506i
\(34\) 3.60007 6.02951i 0.617408 1.03405i
\(35\) 5.11889 2.89576i 0.865251 0.489473i
\(36\) 0.953352 5.92378i 0.158892 0.987296i
\(37\) −2.57019 3.53756i −0.422536 0.581571i 0.543684 0.839290i \(-0.317029\pi\)
−0.966220 + 0.257719i \(0.917029\pi\)
\(38\) 8.57310 + 5.11879i 1.39074 + 0.830377i
\(39\) 12.2545 + 0.156333i 1.96229 + 0.0250334i
\(40\) −6.24627 0.992030i −0.987622 0.156854i
\(41\) 2.13451 + 2.93790i 0.333354 + 0.458823i 0.942486 0.334247i \(-0.108482\pi\)
−0.609131 + 0.793069i \(0.708482\pi\)
\(42\) −4.90414 + 4.17799i −0.756725 + 0.644678i
\(43\) 7.40077 1.12861 0.564303 0.825567i \(-0.309145\pi\)
0.564303 + 0.825567i \(0.309145\pi\)
\(44\) −1.06536 1.97699i −0.160609 0.298043i
\(45\) −4.82833 4.65695i −0.719765 0.694218i
\(46\) −3.28932 + 2.87549i −0.484984 + 0.423968i
\(47\) −9.30818 + 3.02441i −1.35774 + 0.441156i −0.895287 0.445489i \(-0.853030\pi\)
−0.462451 + 0.886645i \(0.653030\pi\)
\(48\) 6.92436 0.230613i 0.999446 0.0332861i
\(49\) −0.0823015 −0.0117574
\(50\) −4.89834 + 5.09963i −0.692730 + 0.721197i
\(51\) 4.96624 + 7.02209i 0.695412 + 0.983290i
\(52\) 2.53497 + 13.9225i 0.351537 + 1.93070i
\(53\) 0.355319 + 1.09356i 0.0488068 + 0.150212i 0.972490 0.232946i \(-0.0748366\pi\)
−0.923683 + 0.383158i \(0.874837\pi\)
\(54\) 6.16063 + 4.00582i 0.838356 + 0.545123i
\(55\) −2.49469 0.284372i −0.336384 0.0383447i
\(56\) −5.82026 4.63316i −0.777765 0.619132i
\(57\) −9.98440 + 7.06127i −1.32247 + 0.935288i
\(58\) 0.356583 0.0321981i 0.0468216 0.00422782i
\(59\) 1.37468 0.998760i 0.178967 0.130027i −0.494695 0.869067i \(-0.664720\pi\)
0.673662 + 0.739039i \(0.264720\pi\)
\(60\) 4.20909 6.50258i 0.543392 0.839479i
\(61\) −3.31802 2.41068i −0.424829 0.308656i 0.354749 0.934962i \(-0.384566\pi\)
−0.779578 + 0.626305i \(0.784566\pi\)
\(62\) 6.02261 + 3.59595i 0.764872 + 0.456687i
\(63\) −2.24605 7.56403i −0.282976 0.952978i
\(64\) 1.79384 + 7.79629i 0.224230 + 0.974536i
\(65\) 14.3968 + 6.56196i 1.78571 + 0.813911i
\(66\) 2.74228 0.212389i 0.337552 0.0261433i
\(67\) −0.555298 + 1.70903i −0.0678404 + 0.208791i −0.979230 0.202754i \(-0.935011\pi\)
0.911389 + 0.411545i \(0.135011\pi\)
\(68\) −6.85897 + 7.18232i −0.831772 + 0.870984i
\(69\) −1.58847 5.10969i −0.191229 0.615134i
\(70\) −7.96828 + 2.38400i −0.952392 + 0.284943i
\(71\) 2.17375 + 6.69012i 0.257977 + 0.793971i 0.993229 + 0.116177i \(0.0370639\pi\)
−0.735252 + 0.677794i \(0.762936\pi\)
\(72\) −3.17631 + 7.86836i −0.374331 + 0.927295i
\(73\) −1.35514 + 1.86519i −0.158607 + 0.218304i −0.880924 0.473259i \(-0.843078\pi\)
0.722316 + 0.691563i \(0.243078\pi\)
\(74\) 2.43208 + 5.68554i 0.282724 + 0.660931i
\(75\) −3.28099 8.01468i −0.378856 0.925455i
\(76\) −10.2122 9.75246i −1.17142 1.11868i
\(77\) −2.38932 1.73594i −0.272288 0.197829i
\(78\) −16.8479 4.06701i −1.90765 0.460498i
\(79\) −5.36703 + 1.74385i −0.603838 + 0.196199i −0.594951 0.803762i \(-0.702829\pi\)
−0.00888659 + 0.999961i \(0.502829\pi\)
\(80\) 8.30087 + 3.33099i 0.928066 + 0.372416i
\(81\) −7.54149 + 4.91181i −0.837943 + 0.545757i
\(82\) −2.01981 4.72177i −0.223051 0.521432i
\(83\) 8.73160 + 2.83707i 0.958418 + 0.311409i 0.746131 0.665799i \(-0.231909\pi\)
0.212286 + 0.977208i \(0.431909\pi\)
\(84\) 8.07516 4.21949i 0.881072 0.460385i
\(85\) 2.21310 + 10.8808i 0.240044 + 1.18018i
\(86\) −10.2045 2.32598i −1.10038 0.250817i
\(87\) −0.140813 + 0.415276i −0.0150967 + 0.0445222i
\(88\) 0.847617 + 3.06080i 0.0903563 + 0.326283i
\(89\) −7.11762 + 9.79656i −0.754466 + 1.03843i 0.243188 + 0.969979i \(0.421807\pi\)
−0.997654 + 0.0684541i \(0.978193\pi\)
\(90\) 5.19390 + 7.93873i 0.547486 + 0.836815i
\(91\) 10.9388 + 15.0559i 1.14670 + 1.57829i
\(92\) 5.43921 2.93107i 0.567077 0.305585i
\(93\) −7.01406 + 4.96055i −0.727324 + 0.514385i
\(94\) 13.7851 1.24474i 1.42183 0.128386i
\(95\) −15.4709 + 3.14671i −1.58728 + 0.322845i
\(96\) −9.62013 1.85827i −0.981850 0.189659i
\(97\) 1.59344 0.517741i 0.161790 0.0525686i −0.227002 0.973894i \(-0.572892\pi\)
0.388792 + 0.921326i \(0.372892\pi\)
\(98\) 0.113481 + 0.0258665i 0.0114633 + 0.00261291i
\(99\) −1.12236 + 3.17619i −0.112802 + 0.319219i
\(100\) 8.35683 5.49212i 0.835683 0.549212i
\(101\) 1.05180i 0.104658i 0.998630 + 0.0523288i \(0.0166644\pi\)
−0.998630 + 0.0523288i \(0.983336\pi\)
\(102\) −4.64072 11.2432i −0.459500 1.11325i
\(103\) 1.57304 + 4.84133i 0.154997 + 0.477030i 0.998161 0.0606261i \(-0.0193097\pi\)
−0.843164 + 0.537657i \(0.819310\pi\)
\(104\) 0.880357 19.9937i 0.0863261 1.96055i
\(105\) 1.28271 10.1055i 0.125180 0.986191i
\(106\) −0.146237 1.61952i −0.0142038 0.157302i
\(107\) 11.2872i 1.09117i 0.838054 + 0.545587i \(0.183693\pi\)
−0.838054 + 0.545587i \(0.816307\pi\)
\(108\) −7.23559 7.45964i −0.696245 0.717804i
\(109\) 11.8212 8.58863i 1.13227 0.822642i 0.146246 0.989248i \(-0.453281\pi\)
0.986023 + 0.166606i \(0.0532809\pi\)
\(110\) 3.35043 + 1.17616i 0.319451 + 0.112143i
\(111\) −7.57306 0.0966114i −0.718803 0.00916995i
\(112\) 6.56910 + 8.21767i 0.620722 + 0.776497i
\(113\) −0.338001 + 0.245572i −0.0317964 + 0.0231015i −0.603570 0.797310i \(-0.706256\pi\)
0.571774 + 0.820411i \(0.306256\pi\)
\(114\) 15.9863 6.59843i 1.49725 0.618000i
\(115\) 0.782380 6.86353i 0.0729573 0.640028i
\(116\) −0.501793 0.0676739i −0.0465903 0.00628336i
\(117\) 12.9110 16.8492i 1.19362 1.55771i
\(118\) −2.20937 + 0.945093i −0.203389 + 0.0870028i
\(119\) −4.03590 + 12.4212i −0.369970 + 1.13865i
\(120\) −7.84739 + 7.64320i −0.716365 + 0.697725i
\(121\) −3.00956 9.26246i −0.273596 0.842042i
\(122\) 3.81740 + 4.36678i 0.345611 + 0.395350i
\(123\) 6.28933 + 0.0802346i 0.567090 + 0.00723451i
\(124\) −7.17409 6.85111i −0.644253 0.615248i
\(125\) 0.294494 11.1765i 0.0263403 0.999653i
\(126\) 0.719676 + 11.1356i 0.0641138 + 0.992034i
\(127\) 4.02987 + 2.92787i 0.357593 + 0.259806i 0.752047 0.659109i \(-0.229066\pi\)
−0.394455 + 0.918915i \(0.629066\pi\)
\(128\) −0.0231433 11.3137i −0.00204560 0.999998i
\(129\) 7.66620 10.2734i 0.674972 0.904526i
\(130\) −17.7887 13.5727i −1.56017 1.19041i
\(131\) 3.79895 11.6920i 0.331916 1.02153i −0.636305 0.771438i \(-0.719538\pi\)
0.968221 0.250095i \(-0.0804620\pi\)
\(132\) −3.84795 0.569018i −0.334921 0.0495266i
\(133\) −17.6612 5.73846i −1.53142 0.497588i
\(134\) 1.30280 2.18197i 0.112545 0.188494i
\(135\) −11.4661 + 1.87850i −0.986844 + 0.161676i
\(136\) 11.7148 7.74762i 1.00454 0.664353i
\(137\) 9.02585 6.55766i 0.771131 0.560259i −0.131174 0.991359i \(-0.541874\pi\)
0.902304 + 0.431100i \(0.141874\pi\)
\(138\) 0.584337 + 7.54472i 0.0497421 + 0.642249i
\(139\) −5.92738 + 8.15834i −0.502754 + 0.691982i −0.982676 0.185329i \(-0.940665\pi\)
0.479922 + 0.877311i \(0.340665\pi\)
\(140\) 11.7363 0.782834i 0.991900 0.0661615i
\(141\) −5.44367 + 16.0541i −0.458440 + 1.35200i
\(142\) −0.894641 9.90784i −0.0750766 0.831448i
\(143\) 7.94521i 0.664412i
\(144\) 6.85259 9.85099i 0.571049 0.820916i
\(145\) −0.382475 + 0.417352i −0.0317628 + 0.0346592i
\(146\) 2.45475 2.14591i 0.203156 0.177597i
\(147\) −0.0852534 + 0.114248i −0.00703158 + 0.00942298i
\(148\) −1.56657 8.60388i −0.128771 0.707234i
\(149\) 1.07076i 0.0877200i 0.999038 + 0.0438600i \(0.0139656\pi\)
−0.999038 + 0.0438600i \(0.986034\pi\)
\(150\) 2.00506 + 12.0822i 0.163713 + 0.986508i
\(151\) 8.74944i 0.712019i −0.934482 0.356010i \(-0.884137\pi\)
0.934482 0.356010i \(-0.115863\pi\)
\(152\) 11.0160 + 16.6568i 0.893516 + 1.35104i
\(153\) 14.8921 + 0.380027i 1.20396 + 0.0307234i
\(154\) 2.74892 + 3.14454i 0.221514 + 0.253394i
\(155\) −10.8683 + 2.21057i −0.872964 + 0.177557i
\(156\) 21.9525 + 10.9029i 1.75761 + 0.872932i
\(157\) 2.09182i 0.166945i 0.996510 + 0.0834727i \(0.0266011\pi\)
−0.996510 + 0.0834727i \(0.973399\pi\)
\(158\) 7.94839 0.717710i 0.632340 0.0570979i
\(159\) 1.88609 + 0.639541i 0.149577 + 0.0507189i
\(160\) −10.3987 7.20181i −0.822093 0.569353i
\(161\) 4.77602 6.57362i 0.376403 0.518074i
\(162\) 11.9423 4.40244i 0.938276 0.345888i
\(163\) 8.04275 5.84340i 0.629957 0.457691i −0.226428 0.974028i \(-0.572705\pi\)
0.856385 + 0.516337i \(0.172705\pi\)
\(164\) 1.30101 + 7.14541i 0.101592 + 0.557963i
\(165\) −2.97892 + 3.16846i −0.231909 + 0.246664i
\(166\) −11.1479 6.65613i −0.865244 0.516616i
\(167\) −19.9594 6.48519i −1.54450 0.501839i −0.591888 0.806020i \(-0.701617\pi\)
−0.952614 + 0.304180i \(0.901617\pi\)
\(168\) −12.4606 + 3.28011i −0.961353 + 0.253066i
\(169\) −11.4539 + 35.2515i −0.881069 + 2.71165i
\(170\) 0.368179 15.6985i 0.0282380 1.20402i
\(171\) −0.540344 + 21.1745i −0.0413211 + 1.61925i
\(172\) 13.3395 + 6.41435i 1.01713 + 0.489090i
\(173\) 7.84149 + 5.69717i 0.596177 + 0.433148i 0.844520 0.535524i \(-0.179886\pi\)
−0.248343 + 0.968672i \(0.579886\pi\)
\(174\) 0.324676 0.528346i 0.0246136 0.0400538i
\(175\) 6.77437 11.2717i 0.512094 0.852058i
\(176\) −0.206757 4.48678i −0.0155849 0.338204i
\(177\) 0.0375426 2.94285i 0.00282188 0.221198i
\(178\) 12.8931 11.2710i 0.966376 0.844796i
\(179\) 1.49678 + 4.60660i 0.111874 + 0.344314i 0.991282 0.131755i \(-0.0420613\pi\)
−0.879408 + 0.476069i \(0.842061\pi\)
\(180\) −4.66655 12.5787i −0.347824 0.937560i
\(181\) 3.10362 9.55197i 0.230691 0.709993i −0.766973 0.641679i \(-0.778238\pi\)
0.997664 0.0683137i \(-0.0217619\pi\)
\(182\) −10.3510 24.1978i −0.767268 1.79366i
\(183\) −6.78343 + 2.10879i −0.501446 + 0.155886i
\(184\) −8.42105 + 2.33201i −0.620808 + 0.171918i
\(185\) −8.89700 4.05518i −0.654120 0.298143i
\(186\) 11.2304 4.63541i 0.823450 0.339884i
\(187\) 4.51097 3.27741i 0.329875 0.239668i
\(188\) −19.3988 2.61620i −1.41480 0.190806i
\(189\) −12.8267 4.71744i −0.933003 0.343143i
\(190\) 22.3210 + 0.523497i 1.61933 + 0.0379785i
\(191\) 15.7612 11.4511i 1.14044 0.828576i 0.153257 0.988186i \(-0.451024\pi\)
0.987180 + 0.159610i \(0.0510238\pi\)
\(192\) 12.6807 + 5.58578i 0.915148 + 0.403119i
\(193\) 3.72982i 0.268478i 0.990949 + 0.134239i \(0.0428590\pi\)
−0.990949 + 0.134239i \(0.957141\pi\)
\(194\) −2.35984 + 0.213084i −0.169426 + 0.0152986i
\(195\) 24.0222 13.1878i 1.72027 0.944395i
\(196\) −0.148344 0.0713319i −0.0105960 0.00509514i
\(197\) 1.87126 + 5.75914i 0.133322 + 0.410322i 0.995325 0.0965806i \(-0.0307906\pi\)
−0.862004 + 0.506902i \(0.830791\pi\)
\(198\) 2.54581 4.02673i 0.180923 0.286167i
\(199\) 4.07539i 0.288896i 0.989512 + 0.144448i \(0.0461407\pi\)
−0.989512 + 0.144448i \(0.953859\pi\)
\(200\) −13.2489 + 4.94634i −0.936840 + 0.349759i
\(201\) 1.79719 + 2.54117i 0.126764 + 0.179240i
\(202\) 0.330568 1.45027i 0.0232587 0.102040i
\(203\) −0.633280 + 0.205765i −0.0444476 + 0.0144419i
\(204\) 2.86522 + 16.9612i 0.200605 + 1.18752i
\(205\) 7.38884 + 3.36777i 0.516059 + 0.235216i
\(206\) −0.647410 7.16985i −0.0451072 0.499547i
\(207\) −8.73849 3.08791i −0.607367 0.214624i
\(208\) −7.49770 + 27.2916i −0.519872 + 1.89234i
\(209\) 4.66001 + 6.41395i 0.322340 + 0.443662i
\(210\) −4.94470 + 13.5307i −0.341217 + 0.933710i
\(211\) −5.14590 + 7.08272i −0.354258 + 0.487594i −0.948538 0.316664i \(-0.897437\pi\)
0.594280 + 0.804258i \(0.297437\pi\)
\(212\) −0.307360 + 2.27904i −0.0211096 + 0.156525i
\(213\) 11.5387 + 3.91256i 0.790616 + 0.268084i
\(214\) 3.54745 15.5633i 0.242498 1.06389i
\(215\) 14.4036 8.14815i 0.982320 0.555699i
\(216\) 7.63230 + 12.5598i 0.519312 + 0.854585i
\(217\) −12.4070 4.03128i −0.842242 0.273661i
\(218\) −18.9990 + 8.12713i −1.28678 + 0.550439i
\(219\) 1.18544 + 3.81324i 0.0801044 + 0.257675i
\(220\) −4.25008 2.67475i −0.286540 0.180332i
\(221\) −33.4159 + 10.8575i −2.24780 + 0.730353i
\(222\) 10.4117 + 2.51334i 0.698790 + 0.168685i
\(223\) −2.60197 1.89044i −0.174241 0.126593i 0.497247 0.867609i \(-0.334344\pi\)
−0.671488 + 0.741016i \(0.734344\pi\)
\(224\) −6.47507 13.3955i −0.432634 0.895026i
\(225\) −14.5243 3.74760i −0.968287 0.249840i
\(226\) 0.543232 0.232376i 0.0361353 0.0154574i
\(227\) −6.51885 + 8.97243i −0.432671 + 0.595521i −0.968564 0.248765i \(-0.919975\pi\)
0.535893 + 0.844286i \(0.319975\pi\)
\(228\) −24.1164 + 4.07393i −1.59715 + 0.269802i
\(229\) −2.00759 6.17873i −0.132665 0.408302i 0.862554 0.505965i \(-0.168863\pi\)
−0.995220 + 0.0976628i \(0.968863\pi\)
\(230\) −3.23592 + 9.21788i −0.213370 + 0.607809i
\(231\) −4.88477 + 1.51855i −0.321395 + 0.0999132i
\(232\) 0.670627 + 0.251020i 0.0440288 + 0.0164803i
\(233\) 5.04864 15.5381i 0.330748 1.01794i −0.638031 0.770010i \(-0.720251\pi\)
0.968779 0.247926i \(-0.0797491\pi\)
\(234\) −23.0979 + 19.1747i −1.50995 + 1.25349i
\(235\) −14.7861 + 16.1344i −0.964537 + 1.05249i
\(236\) 3.34342 0.608759i 0.217638 0.0396268i
\(237\) −3.13878 + 9.25668i −0.203886 + 0.601286i
\(238\) 9.46874 15.8585i 0.613767 1.02796i
\(239\) −15.0252 10.9165i −0.971902 0.706128i −0.0160176 0.999872i \(-0.505099\pi\)
−0.955884 + 0.293744i \(0.905099\pi\)
\(240\) 13.2225 8.07246i 0.853511 0.521075i
\(241\) −8.82348 + 6.41063i −0.568370 + 0.412945i −0.834513 0.550988i \(-0.814251\pi\)
0.266143 + 0.963934i \(0.414251\pi\)
\(242\) 1.23863 + 13.7174i 0.0796221 + 0.881788i
\(243\) −0.993601 + 15.5568i −0.0637396 + 0.997967i
\(244\) −3.89118 7.22090i −0.249107 0.462271i
\(245\) −0.160178 + 0.0906129i −0.0102334 + 0.00578905i
\(246\) −8.64682 2.08730i −0.551301 0.133081i
\(247\) −15.4378 47.5126i −0.982282 3.02315i
\(248\) 7.73875 + 11.7014i 0.491411 + 0.743039i
\(249\) 12.9831 9.18202i 0.822768 0.581887i
\(250\) −3.91870 + 15.3181i −0.247841 + 0.968801i
\(251\) 14.4760 0.913715 0.456858 0.889540i \(-0.348975\pi\)
0.456858 + 0.889540i \(0.348975\pi\)
\(252\) 2.50746 15.5804i 0.157955 0.981475i
\(253\) −3.29920 + 1.07197i −0.207419 + 0.0673944i
\(254\) −4.63638 5.30363i −0.290912 0.332779i
\(255\) 17.3967 + 8.19888i 1.08942 + 0.513434i
\(256\) −3.52386 + 15.6071i −0.220241 + 0.975445i
\(257\) 3.60686 0.224989 0.112495 0.993652i \(-0.464116\pi\)
0.112495 + 0.993652i \(0.464116\pi\)
\(258\) −13.7994 + 11.7561i −0.859111 + 0.731903i
\(259\) −6.75999 9.30432i −0.420045 0.578142i
\(260\) 20.2621 + 24.3055i 1.25660 + 1.50736i
\(261\) 0.430605 + 0.625640i 0.0266538 + 0.0387262i
\(262\) −8.91284 + 14.9275i −0.550637 + 0.922224i
\(263\) 0.296395 + 0.407953i 0.0182765 + 0.0251555i 0.818057 0.575136i \(-0.195051\pi\)
−0.799781 + 0.600292i \(0.795051\pi\)
\(264\) 5.12690 + 1.99396i 0.315539 + 0.122720i
\(265\) 1.89553 + 1.73712i 0.116441 + 0.106710i
\(266\) 22.5485 + 13.4632i 1.38254 + 0.825481i
\(267\) 6.22627 + 20.0283i 0.381042 + 1.22571i
\(268\) −2.48214 + 2.59915i −0.151621 + 0.158768i
\(269\) −0.145643 0.0473224i −0.00888003 0.00288530i 0.304574 0.952489i \(-0.401486\pi\)
−0.313454 + 0.949604i \(0.601486\pi\)
\(270\) 16.4004 + 1.01350i 0.998096 + 0.0616794i
\(271\) 12.7960 4.15766i 0.777299 0.252560i 0.106612 0.994301i \(-0.466000\pi\)
0.670686 + 0.741741i \(0.266000\pi\)
\(272\) −18.5879 + 7.00096i −1.12706 + 0.424496i
\(273\) 32.2311 + 0.411181i 1.95072 + 0.0248858i
\(274\) −14.5063 + 6.20530i −0.876357 + 0.374876i
\(275\) −5.16835 + 2.19317i −0.311663 + 0.132253i
\(276\) 1.56551 10.5867i 0.0942328 0.637243i
\(277\) 16.9554 23.3371i 1.01875 1.40219i 0.105672 0.994401i \(-0.466301\pi\)
0.913077 0.407787i \(-0.133699\pi\)
\(278\) 10.7370 9.38620i 0.643965 0.562947i
\(279\) −0.379592 + 14.8751i −0.0227256 + 0.890548i
\(280\) −16.4286 2.60919i −0.981799 0.155929i
\(281\) −0.565777 0.183832i −0.0337514 0.0109665i 0.292093 0.956390i \(-0.405648\pi\)
−0.325844 + 0.945424i \(0.605648\pi\)
\(282\) 12.5516 20.4253i 0.747438 1.21631i
\(283\) −5.89041 + 18.1288i −0.350149 + 1.07765i 0.608620 + 0.793461i \(0.291723\pi\)
−0.958769 + 0.284186i \(0.908277\pi\)
\(284\) −1.88035 + 13.9426i −0.111578 + 0.827340i
\(285\) −11.6576 + 24.7356i −0.690538 + 1.46521i
\(286\) −2.49709 + 10.9552i −0.147656 + 0.647797i
\(287\) 5.61408 + 7.72712i 0.331389 + 0.456117i
\(288\) −12.5447 + 11.4293i −0.739206 + 0.673480i
\(289\) −6.19527 4.50113i −0.364428 0.264772i
\(290\) 0.658544 0.455258i 0.0386710 0.0267337i
\(291\) 0.931887 2.74826i 0.0546282 0.161106i
\(292\) −4.05916 + 2.18739i −0.237544 + 0.128007i
\(293\) 7.03851 0.411194 0.205597 0.978637i \(-0.434086\pi\)
0.205597 + 0.978637i \(0.434086\pi\)
\(294\) 0.153458 0.130736i 0.00894986 0.00762467i
\(295\) 1.57582 3.45732i 0.0917477 0.201293i
\(296\) −0.544046 + 12.3558i −0.0316220 + 0.718166i
\(297\) 3.24643 + 4.84812i 0.188377 + 0.281316i
\(298\) 0.336528 1.47641i 0.0194946 0.0855264i
\(299\) 21.8593 1.26415
\(300\) 1.03263 17.2897i 0.0596189 0.998221i
\(301\) 19.4651 1.12195
\(302\) −2.74985 + 12.0641i −0.158236 + 0.694214i
\(303\) 1.46006 + 1.08952i 0.0838782 + 0.0625912i
\(304\) −9.95436 26.4293i −0.570922 1.51583i
\(305\) −9.11178 1.03866i −0.521739 0.0594734i
\(306\) −20.4145 5.20444i −1.16702 0.297518i
\(307\) 23.4386 1.33771 0.668854 0.743393i \(-0.266785\pi\)
0.668854 + 0.743393i \(0.266785\pi\)
\(308\) −2.80205 5.19979i −0.159662 0.296286i
\(309\) 8.34999 + 2.83134i 0.475014 + 0.161069i
\(310\) 15.6805 + 0.367757i 0.890593 + 0.0208872i
\(311\) −2.01775 1.46598i −0.114416 0.0831280i 0.529106 0.848556i \(-0.322527\pi\)
−0.643522 + 0.765428i \(0.722527\pi\)
\(312\) −26.8425 21.9329i −1.51966 1.24171i
\(313\) −12.8727 17.7178i −0.727609 1.00147i −0.999237 0.0390656i \(-0.987562\pi\)
0.271627 0.962402i \(-0.412438\pi\)
\(314\) 0.657436 2.88430i 0.0371013 0.162771i
\(315\) −12.6992 12.2485i −0.715521 0.690125i
\(316\) −11.1852 1.50848i −0.629216 0.0848587i
\(317\) 1.52336 4.68843i 0.0855606 0.263328i −0.899118 0.437706i \(-0.855791\pi\)
0.984679 + 0.174377i \(0.0557912\pi\)
\(318\) −2.39964 1.47461i −0.134565 0.0826920i
\(319\) 0.270365 + 0.0878470i 0.0151375 + 0.00491849i
\(320\) 12.0748 + 13.1984i 0.675004 + 0.737814i
\(321\) 15.6684 + 11.6920i 0.874526 + 0.652585i
\(322\) −8.65142 + 7.56298i −0.482125 + 0.421468i
\(323\) 20.6076 28.3640i 1.14664 1.57821i
\(324\) −17.8503 + 2.31695i −0.991681 + 0.128720i
\(325\) 35.2442 3.07960i 1.95500 0.170826i
\(326\) −12.9263 + 5.52941i −0.715919 + 0.306246i
\(327\) 0.322840 25.3064i 0.0178531 1.39945i
\(328\) 0.451823 10.2613i 0.0249477 0.566587i
\(329\) −24.4819 + 7.95466i −1.34973 + 0.438555i
\(330\) 5.10329 3.43258i 0.280927 0.188957i
\(331\) −6.52289 2.11942i −0.358530 0.116494i 0.124213 0.992256i \(-0.460360\pi\)
−0.482743 + 0.875762i \(0.660360\pi\)
\(332\) 13.2793 + 12.6815i 0.728796 + 0.695986i
\(333\) −7.97879 + 10.4125i −0.437235 + 0.570603i
\(334\) 25.4827 + 15.2151i 1.39435 + 0.832534i
\(335\) 0.800881 + 3.93755i 0.0437568 + 0.215131i
\(336\) 18.2121 0.606547i 0.993553 0.0330898i
\(337\) −16.5443 22.7713i −0.901225 1.24043i −0.970076 0.242803i \(-0.921933\pi\)
0.0688506 0.997627i \(-0.478067\pi\)
\(338\) 26.8723 45.0066i 1.46166 2.44804i
\(339\) −0.00923086 + 0.723578i −0.000501352 + 0.0392993i
\(340\) −5.44152 + 21.5301i −0.295108 + 1.16763i
\(341\) 3.27366 + 4.50581i 0.177279 + 0.244003i
\(342\) 7.39996 29.0265i 0.400144 1.56958i
\(343\) −18.6275 −1.00579
\(344\) −16.3772 13.0369i −0.882997 0.702901i
\(345\) −8.71723 8.19577i −0.469320 0.441245i
\(346\) −9.02166 10.3200i −0.485007 0.554808i
\(347\) 34.9390 11.3524i 1.87562 0.609426i 0.886417 0.462888i \(-0.153187\pi\)
0.989205 0.146538i \(-0.0468132\pi\)
\(348\) −0.613732 + 0.626467i −0.0328995 + 0.0335822i
\(349\) 2.33175 0.124816 0.0624078 0.998051i \(-0.480122\pi\)
0.0624078 + 0.998051i \(0.480122\pi\)
\(350\) −12.8834 + 13.4128i −0.688646 + 0.716944i
\(351\) −10.0153 35.3761i −0.534577 1.88823i
\(352\) −1.12506 + 6.25157i −0.0599659 + 0.333210i
\(353\) −7.50581 23.1005i −0.399494 1.22952i −0.925406 0.378977i \(-0.876276\pi\)
0.525912 0.850539i \(-0.323724\pi\)
\(354\) −0.976671 + 4.04594i −0.0519095 + 0.215039i
\(355\) 11.5964 + 10.6273i 0.615471 + 0.564037i
\(356\) −21.3199 + 11.4888i −1.12995 + 0.608906i
\(357\) 13.0620 + 18.4692i 0.691312 + 0.977492i
\(358\) −0.616021 6.82222i −0.0325577 0.360566i
\(359\) −19.4805 + 14.1534i −1.02814 + 0.746988i −0.967936 0.251198i \(-0.919175\pi\)
−0.0602046 + 0.998186i \(0.519175\pi\)
\(360\) 2.48112 + 18.8107i 0.130766 + 0.991413i
\(361\) 24.9581 + 18.1332i 1.31359 + 0.954377i
\(362\) −7.28151 + 12.1953i −0.382708 + 0.640970i
\(363\) −15.9753 5.41693i −0.838483 0.284315i
\(364\) 6.66735 + 36.6183i 0.349464 + 1.91932i
\(365\) −0.583872 + 5.12210i −0.0305613 + 0.268103i
\(366\) 10.0161 0.775744i 0.523550 0.0405488i
\(367\) −7.51175 + 23.1188i −0.392110 + 1.20679i 0.539079 + 0.842255i \(0.318772\pi\)
−0.931189 + 0.364536i \(0.881228\pi\)
\(368\) 12.3443 0.568841i 0.643490 0.0296529i
\(369\) 6.62628 8.64747i 0.344950 0.450169i
\(370\) 10.9931 + 8.38771i 0.571504 + 0.436056i
\(371\) 0.934542 + 2.87622i 0.0485190 + 0.149326i
\(372\) −16.9418 + 2.86194i −0.878393 + 0.148385i
\(373\) −12.8117 + 17.6338i −0.663363 + 0.913041i −0.999587 0.0287408i \(-0.990850\pi\)
0.336223 + 0.941782i \(0.390850\pi\)
\(374\) −7.25000 + 3.10131i −0.374889 + 0.160365i
\(375\) −15.2096 11.9861i −0.785422 0.618960i
\(376\) 25.9257 + 9.70417i 1.33702 + 0.500454i
\(377\) −1.44923 1.05292i −0.0746389 0.0542284i
\(378\) 16.2034 + 10.5359i 0.833413 + 0.541909i
\(379\) 12.7016 4.12699i 0.652435 0.211989i 0.0359475 0.999354i \(-0.488555\pi\)
0.616488 + 0.787365i \(0.288555\pi\)
\(380\) −30.6127 7.73706i −1.57040 0.396903i
\(381\) 8.23874 2.56121i 0.422084 0.131215i
\(382\) −25.3312 + 10.8358i −1.29606 + 0.554410i
\(383\) −2.52358 0.819961i −0.128949 0.0418981i 0.243832 0.969818i \(-0.421596\pi\)
−0.372781 + 0.927920i \(0.621596\pi\)
\(384\) −15.7292 11.6873i −0.802675 0.596417i
\(385\) −6.56142 0.747942i −0.334401 0.0381186i
\(386\) 1.17224 5.14286i 0.0596656 0.261765i
\(387\) −6.31999 21.2838i −0.321263 1.08192i
\(388\) 3.32083 + 0.447860i 0.168589 + 0.0227367i
\(389\) 7.01879 9.66053i 0.355867 0.489808i −0.593125 0.805111i \(-0.702106\pi\)
0.948991 + 0.315302i \(0.102106\pi\)
\(390\) −37.2678 + 10.6340i −1.88713 + 0.538473i
\(391\) 9.01700 + 12.4108i 0.456009 + 0.627643i
\(392\) 0.182125 + 0.144979i 0.00919870 + 0.00732253i
\(393\) −12.2951 17.3849i −0.620206 0.876951i
\(394\) −0.770145 8.52909i −0.0387993 0.429689i
\(395\) −8.52554 + 9.30298i −0.428966 + 0.468084i
\(396\) −4.77584 + 4.75213i −0.239995 + 0.238804i
\(397\) −0.770649 + 0.250399i −0.0386778 + 0.0125672i −0.328292 0.944576i \(-0.606473\pi\)
0.289614 + 0.957143i \(0.406473\pi\)
\(398\) 1.28085 5.61934i 0.0642032 0.281672i
\(399\) −26.2605 + 18.5722i −1.31467 + 0.929774i
\(400\) 19.8228 2.65625i 0.991141 0.132813i
\(401\) 19.9527i 0.996388i −0.867065 0.498194i \(-0.833997\pi\)
0.867065 0.498194i \(-0.166003\pi\)
\(402\) −1.67939 4.06872i −0.0837605 0.202929i
\(403\) −10.8450 33.3776i −0.540230 1.66266i
\(404\) −0.911606 + 1.89580i −0.0453541 + 0.0943197i
\(405\) −9.26967 + 17.8626i −0.460614 + 0.887601i
\(406\) 0.937867 0.0846859i 0.0465456 0.00420289i
\(407\) 4.91000i 0.243380i
\(408\) 1.38003 24.2875i 0.0683219 1.20241i
\(409\) −17.5507 + 12.7514i −0.867829 + 0.630514i −0.930003 0.367551i \(-0.880196\pi\)
0.0621747 + 0.998065i \(0.480196\pi\)
\(410\) −9.12963 6.96588i −0.450880 0.344020i
\(411\) 0.246498 19.3222i 0.0121588 0.953092i
\(412\) −1.36073 + 10.0896i −0.0670381 + 0.497079i
\(413\) 3.61560 2.62689i 0.177912 0.129261i
\(414\) 11.0786 + 7.00417i 0.544481 + 0.344236i
\(415\) 20.1173 4.09177i 0.987520 0.200857i
\(416\) 18.9157 35.2746i 0.927416 1.72948i
\(417\) 5.18509 + 16.6791i 0.253915 + 0.816779i
\(418\) −4.40961 10.3085i −0.215681 0.504203i
\(419\) 4.46197 13.7325i 0.217981 0.670877i −0.780947 0.624597i \(-0.785263\pi\)
0.998928 0.0462804i \(-0.0147368\pi\)
\(420\) 11.0706 17.1028i 0.540188 0.834530i
\(421\) −0.913465 2.81136i −0.0445195 0.137017i 0.926326 0.376723i \(-0.122949\pi\)
−0.970846 + 0.239706i \(0.922949\pi\)
\(422\) 9.32143 8.14869i 0.453760 0.396672i
\(423\) 16.6467 + 24.1866i 0.809392 + 1.17599i
\(424\) 1.14008 3.04585i 0.0553672 0.147919i
\(425\) 16.2868 + 18.7399i 0.790025 + 0.909020i
\(426\) −14.6804 9.02129i −0.711267 0.437083i
\(427\) −8.72690 6.34046i −0.422324 0.306837i
\(428\) −9.78278 + 20.3446i −0.472868 + 0.983391i
\(429\) −11.0292 8.23017i −0.532495 0.397356i
\(430\) −22.4213 + 6.70815i −1.08125 + 0.323496i
\(431\) −1.95432 + 6.01477i −0.0941362 + 0.289721i −0.987028 0.160551i \(-0.948673\pi\)
0.892891 + 0.450272i \(0.148673\pi\)
\(432\) −6.57637 19.7168i −0.316406 0.948624i
\(433\) 12.8774 + 4.18412i 0.618849 + 0.201076i 0.601629 0.798776i \(-0.294519\pi\)
0.0172196 + 0.999852i \(0.494519\pi\)
\(434\) 15.8404 + 9.45790i 0.760362 + 0.453994i
\(435\) 0.183158 + 0.963257i 0.00878177 + 0.0461846i
\(436\) 28.7510 5.23490i 1.37692 0.250706i
\(437\) −17.6464 + 12.8209i −0.844142 + 0.613305i
\(438\) −0.436077 5.63045i −0.0208366 0.269033i
\(439\) 8.27611 11.3911i 0.394997 0.543667i −0.564482 0.825445i \(-0.690924\pi\)
0.959480 + 0.281778i \(0.0909242\pi\)
\(440\) 5.01957 + 5.02383i 0.239298 + 0.239502i
\(441\) 0.0702825 + 0.236690i 0.00334679 + 0.0112710i
\(442\) 49.4878 4.46856i 2.35390 0.212548i
\(443\) 17.7380i 0.842758i 0.906885 + 0.421379i \(0.138454\pi\)
−0.906885 + 0.421379i \(0.861546\pi\)
\(444\) −13.5663 6.73782i −0.643828 0.319763i
\(445\) −3.06667 + 26.9028i −0.145374 + 1.27532i
\(446\) 2.99358 + 3.42441i 0.141750 + 0.162150i
\(447\) 1.48638 + 1.10916i 0.0703035 + 0.0524616i
\(448\) 4.71807 + 20.5054i 0.222908 + 0.968790i
\(449\) 28.2843i 1.33482i −0.744691 0.667410i \(-0.767403\pi\)
0.744691 0.667410i \(-0.232597\pi\)
\(450\) 18.8490 + 9.73220i 0.888550 + 0.458780i
\(451\) 4.07769i 0.192011i
\(452\) −0.822068 + 0.149680i −0.0386668 + 0.00704034i
\(453\) −12.1456 9.06325i −0.570650 0.425828i
\(454\) 11.8084 10.3228i 0.554198 0.484473i
\(455\) 37.8658 + 17.2589i 1.77518 + 0.809112i
\(456\) 34.5333 + 1.96221i 1.61717 + 0.0918889i
\(457\) 5.94526i 0.278107i 0.990285 + 0.139054i \(0.0444061\pi\)
−0.990285 + 0.139054i \(0.955594\pi\)
\(458\) 0.826255 + 9.15049i 0.0386084 + 0.427574i
\(459\) 15.9538 20.2790i 0.744659 0.946541i
\(460\) 7.35892 11.6930i 0.343111 0.545191i
\(461\) 17.8555 24.5760i 0.831615 1.14462i −0.156005 0.987756i \(-0.549862\pi\)
0.987620 0.156863i \(-0.0501383\pi\)
\(462\) 7.21262 0.558616i 0.335562 0.0259892i
\(463\) 9.77952 7.10524i 0.454493 0.330209i −0.336874 0.941550i \(-0.609370\pi\)
0.791367 + 0.611341i \(0.209370\pi\)
\(464\) −0.845800 0.556890i −0.0392653 0.0258530i
\(465\) −8.18950 + 17.3768i −0.379779 + 0.805829i
\(466\) −11.8448 + 19.8380i −0.548699 + 0.918977i
\(467\) −19.8940 6.46396i −0.920585 0.299116i −0.189879 0.981808i \(-0.560809\pi\)
−0.730707 + 0.682691i \(0.760809\pi\)
\(468\) 37.8748 19.1796i 1.75077 0.886578i
\(469\) −1.46052 + 4.49501i −0.0674405 + 0.207560i
\(470\) 25.4586 17.5998i 1.17432 0.811818i
\(471\) 2.90377 + 2.16684i 0.133799 + 0.0998429i
\(472\) −4.80139 0.211413i −0.221002 0.00973107i
\(473\) −6.72311 4.88462i −0.309129 0.224595i
\(474\) 7.23717 11.7771i 0.332414 0.540939i
\(475\) −26.6455 + 23.1575i −1.22258 + 1.06254i
\(476\) −18.0401 + 18.8906i −0.826868 + 0.865848i
\(477\) 2.84152 1.95572i 0.130104 0.0895461i
\(478\) 17.2866 + 19.7744i 0.790670 + 0.904461i
\(479\) −11.0543 34.0217i −0.505084 1.55449i −0.800629 0.599160i \(-0.795501\pi\)
0.295545 0.955329i \(-0.404499\pi\)
\(480\) −20.7690 + 6.97499i −0.947969 + 0.318364i
\(481\) 9.56089 29.4254i 0.435939 1.34168i
\(482\) 14.1810 6.06617i 0.645928 0.276306i
\(483\) −4.17791 13.4393i −0.190102 0.611507i
\(484\) 2.60335 19.3035i 0.118334 0.877432i
\(485\) 2.53119 2.76201i 0.114935 0.125416i
\(486\) 6.25935 21.1381i 0.283930 0.958845i
\(487\) −33.7319 + 24.5077i −1.52854 + 1.11055i −0.571495 + 0.820606i \(0.693636\pi\)
−0.957044 + 0.289943i \(0.906364\pi\)
\(488\) 3.09589 + 11.1795i 0.140144 + 0.506071i
\(489\) 0.219649 17.2176i 0.00993288 0.778606i
\(490\) 0.249340 0.0745992i 0.0112640 0.00337005i
\(491\) −26.9448 + 19.5765i −1.21600 + 0.883476i −0.995762 0.0919695i \(-0.970684\pi\)
−0.220239 + 0.975446i \(0.570684\pi\)
\(492\) 11.2666 + 5.59567i 0.507939 + 0.252272i
\(493\) 1.25715i 0.0566190i
\(494\) 6.35365 + 70.3645i 0.285864 + 3.16585i
\(495\) 1.31256 + 7.41731i 0.0589950 + 0.333383i
\(496\) −6.99295 18.5666i −0.313993 0.833667i
\(497\) 5.71730 + 17.5960i 0.256456 + 0.789290i
\(498\) −20.7875 + 8.58017i −0.931509 + 0.384487i
\(499\) 2.95347i 0.132215i −0.997812 0.0661077i \(-0.978942\pi\)
0.997812 0.0661077i \(-0.0210581\pi\)
\(500\) 10.2176 19.8897i 0.456945 0.889495i
\(501\) −29.6777 + 20.9890i −1.32590 + 0.937718i
\(502\) −19.9602 4.54964i −0.890866 0.203060i
\(503\) −40.1948 + 13.0601i −1.79220 + 0.582320i −0.999623 0.0274568i \(-0.991259\pi\)
−0.792573 + 0.609777i \(0.791259\pi\)
\(504\) −8.35417 + 20.6950i −0.372124 + 0.921828i
\(505\) 1.15801 + 2.04704i 0.0515309 + 0.0910921i
\(506\) 4.88600 0.441187i 0.217209 0.0196132i
\(507\) 37.0699 + 52.4156i 1.64633 + 2.32786i
\(508\) 4.72598 + 8.77006i 0.209682 + 0.389109i
\(509\) −20.6474 28.4187i −0.915179 1.25964i −0.965367 0.260897i \(-0.915982\pi\)
0.0501873 0.998740i \(-0.484018\pi\)
\(510\) −21.4106 16.7726i −0.948076 0.742704i
\(511\) −3.56423 + 4.90574i −0.157672 + 0.217017i
\(512\) 9.76402 20.4123i 0.431513 0.902107i
\(513\) 28.8338 + 22.6840i 1.27304 + 1.00152i
\(514\) −4.97331 1.13360i −0.219363 0.0500008i
\(515\) 8.39175 + 7.69046i 0.369785 + 0.338882i
\(516\) 22.7220 11.8729i 1.00028 0.522675i
\(517\) 10.4520 + 3.39607i 0.459680 + 0.149359i
\(518\) 6.39675 + 14.9538i 0.281057 + 0.657034i
\(519\) 16.0313 4.98371i 0.703696 0.218761i
\(520\) −20.2995 39.8818i −0.890190 1.74893i
\(521\) −23.1218 + 7.51272i −1.01298 + 0.329138i −0.768042 0.640400i \(-0.778769\pi\)
−0.244942 + 0.969538i \(0.578769\pi\)
\(522\) −0.397107 0.997997i −0.0173809 0.0436812i
\(523\) −17.9226 13.0215i −0.783700 0.569391i 0.122387 0.992482i \(-0.460945\pi\)
−0.906087 + 0.423091i \(0.860945\pi\)
\(524\) 16.9810 17.7815i 0.741819 0.776790i
\(525\) −8.62951 21.0798i −0.376623 0.919999i
\(526\) −0.280469 0.655659i −0.0122290 0.0285881i
\(527\) 14.4769 19.9257i 0.630623 0.867978i
\(528\) −6.44253 4.36069i −0.280375 0.189775i
\(529\) 4.15812 + 12.7974i 0.180788 + 0.556408i
\(530\) −2.06768 2.99097i −0.0898145 0.129919i
\(531\) −4.04625 3.10051i −0.175592 0.134551i
\(532\) −26.8597 25.6505i −1.16451 1.11209i
\(533\) −7.94020 + 24.4374i −0.343928 + 1.05850i
\(534\) −2.29041 29.5728i −0.0991157 1.27974i
\(535\) 12.4271 + 21.9675i 0.537269 + 0.949740i
\(536\) 4.23937 2.80372i 0.183113 0.121102i
\(537\) 7.94515 + 2.69406i 0.342858 + 0.116257i
\(538\) 0.185947 + 0.111024i 0.00801675 + 0.00478661i
\(539\) 0.0747655 + 0.0543203i 0.00322038 + 0.00233974i
\(540\) −22.2951 6.55192i −0.959429 0.281950i
\(541\) 18.3219 13.3117i 0.787721 0.572313i −0.119565 0.992826i \(-0.538150\pi\)
0.907286 + 0.420514i \(0.138150\pi\)
\(542\) −18.9504 + 1.71115i −0.813988 + 0.0735001i
\(543\) −10.0447 14.2029i −0.431060 0.609504i
\(544\) 27.8303 3.81128i 1.19321 0.163407i
\(545\) 13.5509 29.7305i 0.580458 1.27352i
\(546\) −44.3126 10.6969i −1.89641 0.457783i
\(547\) 8.57610 + 26.3945i 0.366688 + 1.12855i 0.948917 + 0.315524i \(0.102180\pi\)
−0.582230 + 0.813024i \(0.697820\pi\)
\(548\) 21.9522 3.99699i 0.937752 0.170743i
\(549\) −4.09939 + 11.6009i −0.174958 + 0.495114i
\(550\) 7.81566 1.39969i 0.333261 0.0596830i
\(551\) 1.78748 0.0761492
\(552\) −5.48588 + 14.1054i −0.233495 + 0.600365i
\(553\) −14.1161 + 4.58660i −0.600278 + 0.195042i
\(554\) −30.7135 + 26.8494i −1.30489 + 1.14072i
\(555\) −14.8453 + 8.14981i −0.630149 + 0.345940i
\(556\) −17.7547 + 9.56761i −0.752968 + 0.405757i
\(557\) −19.3275 −0.818933 −0.409467 0.912325i \(-0.634285\pi\)
−0.409467 + 0.912325i \(0.634285\pi\)
\(558\) 5.19848 20.3912i 0.220069 0.863227i
\(559\) 30.7798 + 42.3647i 1.30185 + 1.79184i
\(560\) 21.8326 + 8.76102i 0.922594 + 0.370221i
\(561\) 0.123196 9.65690i 0.00520132 0.407715i
\(562\) 0.722344 + 0.431294i 0.0304703 + 0.0181930i
\(563\) 7.76254 + 10.6842i 0.327152 + 0.450286i 0.940634 0.339423i \(-0.110232\pi\)
−0.613482 + 0.789709i \(0.710232\pi\)
\(564\) −23.7262 + 24.2185i −0.999055 + 1.01978i
\(565\) −0.387457 + 0.850075i −0.0163004 + 0.0357629i
\(566\) 13.8197 23.1456i 0.580885 0.972883i
\(567\) −19.8353 + 12.9188i −0.833003 + 0.542539i
\(568\) 6.97473 18.6337i 0.292653 0.781854i
\(569\) 27.7963 + 9.03155i 1.16528 + 0.378622i 0.826879 0.562380i \(-0.190114\pi\)
0.338401 + 0.941002i \(0.390114\pi\)
\(570\) 23.8482 30.4428i 0.998892 1.27511i
\(571\) 6.44362 2.09366i 0.269657 0.0876169i −0.171067 0.985259i \(-0.554722\pi\)
0.440724 + 0.897642i \(0.354722\pi\)
\(572\) 6.88622 14.3208i 0.287927 0.598783i
\(573\) 0.430440 33.7408i 0.0179819 1.40954i
\(574\) −5.31241 12.4190i −0.221736 0.518358i
\(575\) −6.03396 14.2194i −0.251634 0.592992i
\(576\) 20.8894 11.8166i 0.870392 0.492360i
\(577\) −13.7634 + 18.9437i −0.572977 + 0.788636i −0.992904 0.118923i \(-0.962056\pi\)
0.419926 + 0.907558i \(0.362056\pi\)
\(578\) 7.12768 + 8.15348i 0.296472 + 0.339140i
\(579\) 5.17758 + 3.86359i 0.215173 + 0.160565i
\(580\) −1.05112 + 0.420758i −0.0436452 + 0.0174710i
\(581\) 22.9654 + 7.46192i 0.952767 + 0.309573i
\(582\) −2.14868 + 3.49655i −0.0890656 + 0.144937i
\(583\) 0.398982 1.22794i 0.0165242 0.0508561i
\(584\) 6.28444 1.74033i 0.260052 0.0720152i
\(585\) 6.57710 47.0074i 0.271930 1.94352i
\(586\) −9.70503 2.21213i −0.400911 0.0913821i
\(587\) −13.5473 18.6462i −0.559156 0.769612i 0.432063 0.901843i \(-0.357786\pi\)
−0.991219 + 0.132231i \(0.957786\pi\)
\(588\) −0.252684 + 0.132035i −0.0104205 + 0.00544501i
\(589\) 28.3315 + 20.5840i 1.16738 + 0.848151i
\(590\) −3.25941 + 4.27186i −0.134188 + 0.175870i
\(591\) 9.93296 + 3.36809i 0.408587 + 0.138545i
\(592\) 4.63345 16.8658i 0.190434 0.693179i
\(593\) −35.4686 −1.45652 −0.728261 0.685300i \(-0.759671\pi\)
−0.728261 + 0.685300i \(0.759671\pi\)
\(594\) −2.95262 7.70514i −0.121147 0.316146i
\(595\) 5.82079 + 28.6181i 0.238629 + 1.17323i
\(596\) −0.928042 + 1.92998i −0.0380141 + 0.0790552i
\(597\) 5.65728 + 4.22155i 0.231537 + 0.172777i
\(598\) −30.1406 6.87014i −1.23254 0.280941i
\(599\) 15.4349 0.630652 0.315326 0.948983i \(-0.397886\pi\)
0.315326 + 0.948983i \(0.397886\pi\)
\(600\) −6.85780 + 23.5153i −0.279969 + 0.960009i
\(601\) 15.2326 0.621350 0.310675 0.950516i \(-0.399445\pi\)
0.310675 + 0.950516i \(0.399445\pi\)
\(602\) −26.8395 6.11769i −1.09390 0.249338i
\(603\) 5.38919 + 0.137525i 0.219465 + 0.00560045i
\(604\) 7.58326 15.7704i 0.308559 0.641688i
\(605\) −16.0551 14.7134i −0.652735 0.598186i
\(606\) −1.67077 1.96116i −0.0678706 0.0796668i
\(607\) 34.7595 1.41085 0.705423 0.708787i \(-0.250757\pi\)
0.705423 + 0.708787i \(0.250757\pi\)
\(608\) 5.41909 + 39.5706i 0.219773 + 1.60480i
\(609\) −0.370359 + 1.09224i −0.0150077 + 0.0442597i
\(610\) 12.2373 + 4.29589i 0.495475 + 0.173935i
\(611\) −56.0255 40.7049i −2.26655 1.64675i
\(612\) 26.5129 + 13.5922i 1.07172 + 0.549432i
\(613\) −13.5100 18.5950i −0.545665 0.751043i 0.443751 0.896150i \(-0.353647\pi\)
−0.989416 + 0.145107i \(0.953647\pi\)
\(614\) −32.3182 7.36648i −1.30426 0.297287i
\(615\) 12.3288 6.76831i 0.497147 0.272925i
\(616\) 2.22936 + 8.05038i 0.0898235 + 0.324359i
\(617\) 4.54521 13.9887i 0.182983 0.563164i −0.816925 0.576745i \(-0.804323\pi\)
0.999908 + 0.0135801i \(0.00432281\pi\)
\(618\) −10.6235 6.52829i −0.427340 0.262607i
\(619\) −31.5383 10.2474i −1.26763 0.411879i −0.403424 0.915013i \(-0.632180\pi\)
−0.864208 + 0.503134i \(0.832180\pi\)
\(620\) −21.5055 5.43529i −0.863680 0.218287i
\(621\) −13.3384 + 8.93175i −0.535252 + 0.358419i
\(622\) 2.32143 + 2.65552i 0.0930807 + 0.106477i
\(623\) −18.7204 + 25.7664i −0.750018 + 1.03231i
\(624\) 30.1185 + 38.6785i 1.20571 + 1.54838i
\(625\) −11.7320 22.0762i −0.469279 0.883050i
\(626\) 12.1810 + 28.4759i 0.486851 + 1.13813i
\(627\) 13.7307 + 0.175166i 0.548352 + 0.00699547i
\(628\) −1.81301 + 3.77039i −0.0723469 + 0.150455i
\(629\) 20.6504 6.70974i 0.823387 0.267535i
\(630\) 13.6608 + 20.8801i 0.544258 + 0.831881i
\(631\) −20.3437 6.61008i −0.809871 0.263143i −0.125328 0.992115i \(-0.539998\pi\)
−0.684543 + 0.728972i \(0.739998\pi\)
\(632\) 14.9486 + 5.59535i 0.594623 + 0.222571i
\(633\) 4.50147 + 14.4801i 0.178917 + 0.575531i
\(634\) −3.57401 + 5.98586i −0.141942 + 0.237729i
\(635\) 11.0666 + 1.26149i 0.439165 + 0.0500608i
\(636\) 2.84528 + 2.78744i 0.112823 + 0.110529i
\(637\) −0.342292 0.471124i −0.0135621 0.0186666i
\(638\) −0.345183 0.206100i −0.0136659 0.00815960i
\(639\) 17.3837 11.9646i 0.687690 0.473312i
\(640\) −12.5013 21.9936i −0.494156 0.869373i
\(641\) 20.8420 + 28.6865i 0.823208 + 1.13305i 0.989149 + 0.146913i \(0.0469336\pi\)
−0.165942 + 0.986136i \(0.553066\pi\)
\(642\) −17.9297 21.0459i −0.707628 0.830617i
\(643\) −1.63973 −0.0646648 −0.0323324 0.999477i \(-0.510294\pi\)
−0.0323324 + 0.999477i \(0.510294\pi\)
\(644\) 14.3060 7.70915i 0.563734 0.303783i
\(645\) 3.60932 28.4349i 0.142117 1.11962i
\(646\) −37.3293 + 32.6329i −1.46870 + 1.28392i
\(647\) 41.1106 13.3577i 1.61623 0.525144i 0.645178 0.764032i \(-0.276783\pi\)
0.971047 + 0.238888i \(0.0767830\pi\)
\(648\) 25.3410 + 2.41542i 0.995488 + 0.0948865i
\(649\) −1.90800 −0.0748955
\(650\) −49.5643 6.83058i −1.94407 0.267917i
\(651\) −18.4480 + 13.0470i −0.723035 + 0.511352i
\(652\) 19.5612 3.56164i 0.766075 0.139485i
\(653\) 4.92751 + 15.1653i 0.192828 + 0.593464i 0.999995 + 0.00314086i \(0.000999769\pi\)
−0.807167 + 0.590323i \(0.799000\pi\)
\(654\) −8.39868 + 34.7922i −0.328414 + 1.36048i
\(655\) −5.47906 26.9379i −0.214084 1.05255i
\(656\) −3.84802 + 14.0068i −0.150240 + 0.546874i
\(657\) 6.52134 + 2.30443i 0.254422 + 0.0899045i
\(658\) 36.2569 3.27386i 1.41344 0.127629i
\(659\) 1.82519 1.32608i 0.0710992 0.0516566i −0.551668 0.834064i \(-0.686008\pi\)
0.622767 + 0.782407i \(0.286008\pi\)
\(660\) −8.11549 + 3.12909i −0.315895 + 0.121800i
\(661\) −33.6669 24.4604i −1.30949 0.951400i −1.00000 0.000496742i \(-0.999842\pi\)
−0.309489 0.950903i \(-0.600158\pi\)
\(662\) 8.32797 + 4.97243i 0.323676 + 0.193259i
\(663\) −19.5425 + 57.6334i −0.758967 + 2.23830i
\(664\) −14.3245 21.6593i −0.555898 0.840546i
\(665\) −40.6908 + 8.27632i −1.57792 + 0.320942i
\(666\) 14.2741 11.8496i 0.553109 0.459165i
\(667\) −0.241689 + 0.743843i −0.00935825 + 0.0288017i
\(668\) −30.3549 28.9883i −1.17446 1.12159i
\(669\) −5.31953 + 1.65370i −0.205665 + 0.0639358i
\(670\) 0.133237 5.68099i 0.00514740 0.219476i
\(671\) 1.42311 + 4.37989i 0.0549387 + 0.169084i
\(672\) −25.3024 4.88754i −0.976061 0.188541i
\(673\) −24.8246 + 34.1682i −0.956920 + 1.31709i −0.00853574 + 0.999964i \(0.502717\pi\)
−0.948384 + 0.317124i \(0.897283\pi\)
\(674\) 15.6553 + 36.5978i 0.603020 + 1.40969i
\(675\) −20.2475 + 16.2800i −0.779326 + 0.626618i
\(676\) −51.1980 + 53.6116i −1.96915 + 2.06198i
\(677\) 35.8387 + 26.0384i 1.37739 + 1.00074i 0.997118 + 0.0758625i \(0.0241710\pi\)
0.380276 + 0.924873i \(0.375829\pi\)
\(678\) 0.240141 0.994803i 0.00922254 0.0382052i
\(679\) 4.19100 1.36174i 0.160836 0.0522587i
\(680\) 14.2697 27.9765i 0.547219 1.07285i
\(681\) 5.70249 + 18.3434i 0.218520 + 0.702921i
\(682\) −3.09775 7.24170i −0.118619 0.277299i
\(683\) 36.2387 + 11.7747i 1.38663 + 0.450545i 0.904844 0.425742i \(-0.139987\pi\)
0.481789 + 0.876287i \(0.339987\pi\)
\(684\) −19.3261 + 37.6975i −0.738954 + 1.44140i
\(685\) 10.3465 22.7001i 0.395320 0.867326i
\(686\) 25.6845 + 5.85443i 0.980640 + 0.223523i
\(687\) −10.6566 3.61348i −0.406576 0.137863i
\(688\) 18.4843 + 23.1230i 0.704706 + 0.881557i
\(689\) −4.78216 + 6.58207i −0.182186 + 0.250757i
\(690\) 9.44389 + 14.0404i 0.359523 + 0.534511i
\(691\) 20.6338 + 28.4000i 0.784948 + 1.08039i 0.994719 + 0.102637i \(0.0327281\pi\)
−0.209771 + 0.977751i \(0.567272\pi\)
\(692\) 9.19602 + 17.0652i 0.349580 + 0.648720i
\(693\) −2.95199 + 8.35385i −0.112137 + 0.317336i
\(694\) −51.7434 + 4.67224i −1.96415 + 0.177356i
\(695\) −2.55385 + 22.4040i −0.0968731 + 0.849833i
\(696\) 1.04314 0.670913i 0.0395400 0.0254309i
\(697\) −17.1499 + 5.57235i −0.649600 + 0.211068i
\(698\) −3.21513 0.732844i −0.121694 0.0277385i
\(699\) −16.3397 23.1037i −0.618023 0.873863i
\(700\) 21.9797 14.4451i 0.830756 0.545974i
\(701\) 24.1415i 0.911812i −0.890028 0.455906i \(-0.849315\pi\)
0.890028 0.455906i \(-0.150685\pi\)
\(702\) 2.69125 + 51.9259i 0.101575 + 1.95982i
\(703\) 9.54028 + 29.3620i 0.359818 + 1.10741i
\(704\) 3.51609 8.26637i 0.132518 0.311551i
\(705\) 7.08071 + 37.2385i 0.266675 + 1.40248i
\(706\) 3.08913 + 34.2111i 0.116261 + 1.28755i
\(707\) 2.76638i 0.104041i
\(708\) 2.61828 5.27178i 0.0984008 0.198126i
\(709\) −12.4837 + 9.06991i −0.468834 + 0.340628i −0.796987 0.603997i \(-0.793574\pi\)
0.328153 + 0.944625i \(0.393574\pi\)
\(710\) −12.6496 18.2980i −0.474730 0.686712i
\(711\) 9.59838 + 13.9458i 0.359967 + 0.523008i
\(712\) 33.0078 9.14071i 1.23702 0.342563i
\(713\) −12.3966 + 9.00667i −0.464257 + 0.337303i
\(714\) −12.2058 29.5714i −0.456790 1.10668i
\(715\) −8.74757 15.4632i −0.327140 0.578292i
\(716\) −1.29475 + 9.60042i −0.0483871 + 0.358785i
\(717\) −30.7179 + 9.54940i −1.14718 + 0.356629i
\(718\) 31.3089 13.3929i 1.16844 0.499818i
\(719\) −0.511996 + 1.57576i −0.0190942 + 0.0587659i −0.960150 0.279487i \(-0.909836\pi\)
0.941055 + 0.338252i \(0.109836\pi\)
\(720\) 2.49093 26.7169i 0.0928313 0.995682i
\(721\) 4.13734 + 12.7334i 0.154083 + 0.474218i
\(722\) −28.7144 32.8469i −1.06864 1.22244i
\(723\) −0.240971 + 18.8889i −0.00896181 + 0.702487i
\(724\) 13.8729 14.5270i 0.515584 0.539890i
\(725\) −0.284886 + 1.23337i −0.0105804 + 0.0458060i
\(726\) 20.3250 + 12.4900i 0.754330 + 0.463546i
\(727\) 9.30425 + 6.75993i 0.345076 + 0.250712i 0.746800 0.665048i \(-0.231589\pi\)
−0.401725 + 0.915760i \(0.631589\pi\)
\(728\) 2.31547 52.5866i 0.0858171 1.94899i
\(729\) 20.5660 + 17.4940i 0.761704 + 0.647926i
\(730\) 2.41489 6.87909i 0.0893791 0.254607i
\(731\) −11.3563 + 34.9510i −0.420027 + 1.29271i
\(732\) −14.0545 2.07832i −0.519469 0.0768168i
\(733\) 11.8534 + 3.85140i 0.437815 + 0.142255i 0.519627 0.854393i \(-0.326071\pi\)
−0.0818124 + 0.996648i \(0.526071\pi\)
\(734\) 17.6235 29.5164i 0.650497 1.08947i
\(735\) −0.0401380 + 0.316215i −0.00148051 + 0.0116638i
\(736\) −17.1997 3.09533i −0.633988 0.114095i
\(737\) 1.63244 1.18604i 0.0601317 0.0436882i
\(738\) −11.8544 + 9.84098i −0.436368 + 0.362252i
\(739\) 3.08442 4.24534i 0.113462 0.156167i −0.748509 0.663125i \(-0.769230\pi\)
0.861971 + 0.506957i \(0.169230\pi\)
\(740\) −12.5217 15.0204i −0.460305 0.552160i
\(741\) −81.9464 27.7866i −3.01038 1.02077i
\(742\) −0.384625 4.25959i −0.0141200 0.156375i
\(743\) 19.7148i 0.723266i 0.932320 + 0.361633i \(0.117781\pi\)
−0.932320 + 0.361633i \(0.882219\pi\)
\(744\) 24.2597 + 1.37845i 0.889403 + 0.0505366i
\(745\) 1.17889 + 2.08395i 0.0431913 + 0.0763500i
\(746\) 23.2075 20.2877i 0.849685 0.742786i
\(747\) 0.702628 27.5339i 0.0257078 1.00741i
\(748\) 10.9714 1.99763i 0.401153 0.0730407i
\(749\) 29.6871i 1.08474i
\(750\) 17.2047 + 21.3073i 0.628226 + 0.778031i
\(751\) 43.6176i 1.59163i −0.605540 0.795815i \(-0.707043\pi\)
0.605540 0.795815i \(-0.292957\pi\)
\(752\) −32.6977 21.5288i −1.19236 0.785073i
\(753\) 14.9952 20.0949i 0.546454 0.732300i
\(754\) 1.66734 + 1.90730i 0.0607209 + 0.0694597i
\(755\) −9.63302 17.0285i −0.350581 0.619729i
\(756\) −19.0307 19.6200i −0.692140 0.713572i
\(757\) 13.1585i 0.478255i 0.970988 + 0.239127i \(0.0768613\pi\)
−0.970988 + 0.239127i \(0.923139\pi\)
\(758\) −18.8106 + 1.69852i −0.683231 + 0.0616932i
\(759\) −1.92946 + 5.69023i −0.0700348 + 0.206542i
\(760\) 39.7786 + 20.2895i 1.44292 + 0.735977i
\(761\) −8.19231 + 11.2758i −0.296971 + 0.408746i −0.931263 0.364348i \(-0.881292\pi\)
0.634292 + 0.773094i \(0.281292\pi\)
\(762\) −12.1649 + 0.942172i −0.440689 + 0.0341313i
\(763\) 31.0917 22.5894i 1.12559 0.817791i
\(764\) 38.3335 6.97965i 1.38686 0.252515i
\(765\) 29.4020 15.6564i 1.06303 0.566059i
\(766\) 3.22193 + 1.92374i 0.116413 + 0.0695074i
\(767\) 11.4345 + 3.71531i 0.412877 + 0.134152i
\(768\) 18.0149 + 21.0586i 0.650057 + 0.759885i
\(769\) 10.7577 33.1089i 0.387933 1.19394i −0.546397 0.837526i \(-0.684001\pi\)
0.934330 0.356409i \(-0.115999\pi\)
\(770\) 8.81213 + 3.09348i 0.317567 + 0.111481i
\(771\) 3.73622 5.00688i 0.134557 0.180319i
\(772\) −3.23269 + 6.72280i −0.116347 + 0.241959i
\(773\) −26.9509 19.5810i −0.969357 0.704279i −0.0140523 0.999901i \(-0.504473\pi\)
−0.955305 + 0.295622i \(0.904473\pi\)
\(774\) 2.02504 + 31.3334i