Properties

Label 150.2.l.a.23.3
Level 150
Weight 2
Character 150.23
Analytic conductor 1.198
Analytic rank 0
Dimension 80
CM No

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Newspace parameters

Level: \( N \) = \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 150.l (of order \(20\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{20})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 23.3
Character \(\chi\) = 150.23
Dual form 150.2.l.a.137.3

$q$-expansion

\(f(q)\) \(=\) \(q\)\(+(-0.987688 - 0.156434i) q^{2}\) \(+(0.487767 - 1.66195i) q^{3}\) \(+(0.951057 + 0.309017i) q^{4}\) \(+(2.22772 - 0.193062i) q^{5}\) \(+(-0.741748 + 1.56519i) q^{6}\) \(+(-0.104631 + 0.104631i) q^{7}\) \(+(-0.891007 - 0.453990i) q^{8}\) \(+(-2.52417 - 1.62129i) q^{9}\) \(+O(q^{10})\) \(q\)\(+(-0.987688 - 0.156434i) q^{2}\) \(+(0.487767 - 1.66195i) q^{3}\) \(+(0.951057 + 0.309017i) q^{4}\) \(+(2.22772 - 0.193062i) q^{5}\) \(+(-0.741748 + 1.56519i) q^{6}\) \(+(-0.104631 + 0.104631i) q^{7}\) \(+(-0.891007 - 0.453990i) q^{8}\) \(+(-2.52417 - 1.62129i) q^{9}\) \(+(-2.23049 - 0.157807i) q^{10}\) \(+(1.81255 + 2.49477i) q^{11}\) \(+(0.977465 - 1.42988i) q^{12}\) \(+(-0.711182 - 4.49023i) q^{13}\) \(+(0.119711 - 0.0869753i) q^{14}\) \(+(0.765748 - 3.79653i) q^{15}\) \(+(0.809017 + 0.587785i) q^{16}\) \(+(1.68388 - 3.30481i) q^{17}\) \(+(2.23946 + 1.99620i) q^{18}\) \(+(-3.32698 + 1.08100i) q^{19}\) \(+(2.17835 + 0.504790i) q^{20}\) \(+(0.122857 + 0.224928i) q^{21}\) \(+(-1.39997 - 2.74760i) q^{22}\) \(+(-0.773401 + 4.88306i) q^{23}\) \(+(-1.18911 + 1.25937i) q^{24}\) \(+(4.92545 - 0.860175i) q^{25}\) \(+4.54620i q^{26}\) \(+(-3.92571 + 3.40423i) q^{27}\) \(+(-0.131843 + 0.0671775i) q^{28}\) \(+(-0.509399 + 1.56777i) q^{29}\) \(+(-1.35023 + 3.63000i) q^{30}\) \(+(2.45755 + 7.56355i) q^{31}\) \(+(-0.707107 - 0.707107i) q^{32}\) \(+(5.03028 - 1.79551i) q^{33}\) \(+(-2.18014 + 3.00070i) q^{34}\) \(+(-0.212889 + 0.253290i) q^{35}\) \(+(-1.89962 - 2.32195i) q^{36}\) \(+(-8.30199 + 1.31491i) q^{37}\) \(+(3.45513 - 0.547238i) q^{38}\) \(+(-7.80943 - 1.00823i) q^{39}\) \(+(-2.07256 - 0.839343i) q^{40}\) \(+(-1.27149 + 1.75005i) q^{41}\) \(+(-0.0861576 - 0.241378i) q^{42}\) \(+(2.77052 + 2.77052i) q^{43}\) \(+(0.952916 + 2.93277i) q^{44}\) \(+(-5.93614 - 3.12446i) q^{45}\) \(+(1.52776 - 4.70196i) q^{46}\) \(+(4.77725 - 2.43413i) q^{47}\) \(+(1.37148 - 1.05784i) q^{48}\) \(+6.97810i q^{49}\) \(+(-4.99937 + 0.0790741i) q^{50}\) \(+(-4.67109 - 4.41051i) q^{51}\) \(+(0.711182 - 4.49023i) q^{52}\) \(+(5.24200 + 10.2880i) q^{53}\) \(+(4.40992 - 2.74820i) q^{54}\) \(+(4.51950 + 5.20770i) q^{55}\) \(+(0.140729 - 0.0457256i) q^{56}\) \(+(0.173781 + 6.05656i) q^{57}\) \(+(0.748381 - 1.46878i) q^{58}\) \(+(-10.4207 - 7.57107i) q^{59}\) \(+(1.90146 - 3.37408i) q^{60}\) \(+(11.8153 - 8.58430i) q^{61}\) \(+(-1.24409 - 7.85487i) q^{62}\) \(+(0.433745 - 0.0944693i) q^{63}\) \(+(0.587785 + 0.809017i) q^{64}\) \(+(-2.45120 - 9.86565i) q^{65}\) \(+(-5.24923 + 0.986496i) q^{66}\) \(+(3.23605 + 1.64885i) q^{67}\) \(+(2.62271 - 2.62271i) q^{68}\) \(+(7.73817 + 3.66715i) q^{69}\) \(+(0.249891 - 0.216868i) q^{70}\) \(+(-4.79465 - 1.55788i) q^{71}\) \(+(1.51300 + 2.59053i) q^{72}\) \(+(-10.6274 - 1.68322i) q^{73}\) \(+8.40547 q^{74}\) \(+(0.972905 - 8.60543i) q^{75}\) \(-3.49819 q^{76}\) \(+(-0.450681 - 0.0713809i) q^{77}\) \(+(7.55556 + 2.21748i) q^{78}\) \(+(8.57556 + 2.78637i) q^{79}\) \(+(1.91574 + 1.15323i) q^{80}\) \(+(3.74283 + 8.18481i) q^{81}\) \(+(1.52960 - 1.52960i) q^{82}\) \(+(-9.01058 - 4.59112i) q^{83}\) \(+(0.0473370 + 0.251884i) q^{84}\) \(+(3.11318 - 7.68727i) q^{85}\) \(+(-2.30301 - 3.16982i) q^{86}\) \(+(2.35709 + 1.61130i) q^{87}\) \(+(-0.482397 - 3.04574i) q^{88}\) \(+(6.13326 - 4.45607i) q^{89}\) \(+(5.37428 + 4.01461i) q^{90}\) \(+(0.544231 + 0.395407i) q^{91}\) \(+(-2.24450 + 4.40507i) q^{92}\) \(+(13.7690 - 0.395073i) q^{93}\) \(+(-5.09921 + 1.65683i) q^{94}\) \(+(-7.20287 + 3.05048i) q^{95}\) \(+(-1.52008 + 0.830274i) q^{96}\) \(+(-4.20877 - 8.26018i) q^{97}\) \(+(1.09162 - 6.89219i) q^{98}\) \(+(-0.530447 - 9.23588i) q^{99}\) \(+O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \(80q \) \(\mathstrut +\mathstrut 4q^{3} \) \(\mathstrut +\mathstrut 4q^{7} \) \(\mathstrut +\mathstrut O(q^{10}) \) \(80q \) \(\mathstrut +\mathstrut 4q^{3} \) \(\mathstrut +\mathstrut 4q^{7} \) \(\mathstrut -\mathstrut 4q^{10} \) \(\mathstrut -\mathstrut 4q^{12} \) \(\mathstrut -\mathstrut 8q^{15} \) \(\mathstrut +\mathstrut 20q^{16} \) \(\mathstrut -\mathstrut 8q^{18} \) \(\mathstrut -\mathstrut 40q^{19} \) \(\mathstrut -\mathstrut 36q^{22} \) \(\mathstrut -\mathstrut 104q^{25} \) \(\mathstrut +\mathstrut 4q^{27} \) \(\mathstrut -\mathstrut 16q^{28} \) \(\mathstrut +\mathstrut 12q^{30} \) \(\mathstrut +\mathstrut 4q^{33} \) \(\mathstrut -\mathstrut 40q^{34} \) \(\mathstrut -\mathstrut 24q^{37} \) \(\mathstrut -\mathstrut 40q^{39} \) \(\mathstrut -\mathstrut 8q^{40} \) \(\mathstrut -\mathstrut 4q^{42} \) \(\mathstrut -\mathstrut 24q^{43} \) \(\mathstrut -\mathstrut 72q^{45} \) \(\mathstrut -\mathstrut 4q^{48} \) \(\mathstrut -\mathstrut 12q^{55} \) \(\mathstrut -\mathstrut 64q^{57} \) \(\mathstrut +\mathstrut 20q^{58} \) \(\mathstrut +\mathstrut 24q^{60} \) \(\mathstrut +\mathstrut 64q^{63} \) \(\mathstrut +\mathstrut 96q^{67} \) \(\mathstrut +\mathstrut 140q^{69} \) \(\mathstrut +\mathstrut 76q^{70} \) \(\mathstrut +\mathstrut 8q^{72} \) \(\mathstrut +\mathstrut 100q^{73} \) \(\mathstrut +\mathstrut 132q^{75} \) \(\mathstrut +\mathstrut 100q^{78} \) \(\mathstrut +\mathstrut 80q^{79} \) \(\mathstrut -\mathstrut 40q^{81} \) \(\mathstrut +\mathstrut 96q^{82} \) \(\mathstrut +\mathstrut 60q^{84} \) \(\mathstrut +\mathstrut 32q^{85} \) \(\mathstrut +\mathstrut 80q^{87} \) \(\mathstrut +\mathstrut 4q^{88} \) \(\mathstrut +\mathstrut 52q^{90} \) \(\mathstrut +\mathstrut 12q^{93} \) \(\mathstrut -\mathstrut 32q^{97} \) \(\mathstrut +\mathstrut O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{20}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.987688 0.156434i −0.698401 0.110616i
\(3\) 0.487767 1.66195i 0.281612 0.959528i
\(4\) 0.951057 + 0.309017i 0.475528 + 0.154508i
\(5\) 2.22772 0.193062i 0.996266 0.0863399i
\(6\) −0.741748 + 1.56519i −0.302817 + 0.638985i
\(7\) −0.104631 + 0.104631i −0.0395470 + 0.0395470i −0.726604 0.687057i \(-0.758902\pi\)
0.687057 + 0.726604i \(0.258902\pi\)
\(8\) −0.891007 0.453990i −0.315018 0.160510i
\(9\) −2.52417 1.62129i −0.841389 0.540430i
\(10\) −2.23049 0.157807i −0.705344 0.0499029i
\(11\) 1.81255 + 2.49477i 0.546506 + 0.752200i 0.989533 0.144308i \(-0.0460955\pi\)
−0.443027 + 0.896508i \(0.646096\pi\)
\(12\) 0.977465 1.42988i 0.282170 0.412771i
\(13\) −0.711182 4.49023i −0.197246 1.24536i −0.865301 0.501252i \(-0.832873\pi\)
0.668055 0.744112i \(-0.267127\pi\)
\(14\) 0.119711 0.0869753i 0.0319942 0.0232451i
\(15\) 0.765748 3.79653i 0.197715 0.980260i
\(16\) 0.809017 + 0.587785i 0.202254 + 0.146946i
\(17\) 1.68388 3.30481i 0.408402 0.801533i −0.591587 0.806241i \(-0.701499\pi\)
0.999989 + 0.00470771i \(0.00149852\pi\)
\(18\) 2.23946 + 1.99620i 0.527847 + 0.470508i
\(19\) −3.32698 + 1.08100i −0.763262 + 0.247999i −0.664678 0.747130i \(-0.731431\pi\)
−0.0985837 + 0.995129i \(0.531431\pi\)
\(20\) 2.17835 + 0.504790i 0.487093 + 0.112874i
\(21\) 0.122857 + 0.224928i 0.0268095 + 0.0490834i
\(22\) −1.39997 2.74760i −0.298475 0.585790i
\(23\) −0.773401 + 4.88306i −0.161265 + 1.01819i 0.765743 + 0.643147i \(0.222372\pi\)
−0.927008 + 0.375042i \(0.877628\pi\)
\(24\) −1.18911 + 1.25937i −0.242727 + 0.257067i
\(25\) 4.92545 0.860175i 0.985091 0.172035i
\(26\) 4.54620i 0.891583i
\(27\) −3.92571 + 3.40423i −0.755504 + 0.655145i
\(28\) −0.131843 + 0.0671775i −0.0249161 + 0.0126954i
\(29\) −0.509399 + 1.56777i −0.0945931 + 0.291128i −0.987147 0.159812i \(-0.948911\pi\)
0.892554 + 0.450940i \(0.148911\pi\)
\(30\) −1.35023 + 3.63000i −0.246517 + 0.662744i
\(31\) 2.45755 + 7.56355i 0.441388 + 1.35845i 0.886396 + 0.462927i \(0.153201\pi\)
−0.445008 + 0.895527i \(0.646799\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) 5.03028 1.79551i 0.875660 0.312559i
\(34\) −2.18014 + 3.00070i −0.373890 + 0.514616i
\(35\) −0.212889 + 0.253290i −0.0359848 + 0.0428138i
\(36\) −1.89962 2.32195i −0.316603 0.386992i
\(37\) −8.30199 + 1.31491i −1.36484 + 0.216169i −0.795510 0.605941i \(-0.792797\pi\)
−0.569329 + 0.822110i \(0.692797\pi\)
\(38\) 3.45513 0.547238i 0.560495 0.0887737i
\(39\) −7.80943 1.00823i −1.25051 0.161447i
\(40\) −2.07256 0.839343i −0.327700 0.132712i
\(41\) −1.27149 + 1.75005i −0.198573 + 0.273312i −0.896678 0.442683i \(-0.854027\pi\)
0.698105 + 0.715995i \(0.254027\pi\)
\(42\) −0.0861576 0.241378i −0.0132944 0.0372454i
\(43\) 2.77052 + 2.77052i 0.422501 + 0.422501i 0.886064 0.463563i \(-0.153429\pi\)
−0.463563 + 0.886064i \(0.653429\pi\)
\(44\) 0.952916 + 2.93277i 0.143657 + 0.442132i
\(45\) −5.93614 3.12446i −0.884908 0.465767i
\(46\) 1.52776 4.70196i 0.225256 0.693266i
\(47\) 4.77725 2.43413i 0.696833 0.355054i −0.0694250 0.997587i \(-0.522116\pi\)
0.766258 + 0.642533i \(0.222116\pi\)
\(48\) 1.37148 1.05784i 0.197956 0.152687i
\(49\) 6.97810i 0.996872i
\(50\) −4.99937 + 0.0790741i −0.707018 + 0.0111828i
\(51\) −4.67109 4.41051i −0.654083 0.617595i
\(52\) 0.711182 4.49023i 0.0986232 0.622682i
\(53\) 5.24200 + 10.2880i 0.720045 + 1.41317i 0.902823 + 0.430013i \(0.141491\pi\)
−0.182778 + 0.983154i \(0.558509\pi\)
\(54\) 4.40992 2.74820i 0.600114 0.373983i
\(55\) 4.51950 + 5.20770i 0.609410 + 0.702206i
\(56\) 0.140729 0.0457256i 0.0188057 0.00611035i
\(57\) 0.173781 + 6.05656i 0.0230178 + 0.802211i
\(58\) 0.748381 1.46878i 0.0982673 0.192860i
\(59\) −10.4207 7.57107i −1.35666 0.985670i −0.998650 0.0519515i \(-0.983456\pi\)
−0.358009 0.933718i \(-0.616544\pi\)
\(60\) 1.90146 3.37408i 0.245478 0.435592i
\(61\) 11.8153 8.58430i 1.51279 1.09911i 0.547871 0.836563i \(-0.315439\pi\)
0.964920 0.262544i \(-0.0845614\pi\)
\(62\) −1.24409 7.85487i −0.158000 0.997570i
\(63\) 0.433745 0.0944693i 0.0546468 0.0119020i
\(64\) 0.587785 + 0.809017i 0.0734732 + 0.101127i
\(65\) −2.45120 9.86565i −0.304034 1.22368i
\(66\) −5.24923 + 0.986496i −0.646136 + 0.121429i
\(67\) 3.23605 + 1.64885i 0.395346 + 0.201439i 0.640350 0.768083i \(-0.278789\pi\)
−0.245004 + 0.969522i \(0.578789\pi\)
\(68\) 2.62271 2.62271i 0.318050 0.318050i
\(69\) 7.73817 + 3.66715i 0.931567 + 0.441473i
\(70\) 0.249891 0.216868i 0.0298677 0.0259207i
\(71\) −4.79465 1.55788i −0.569020 0.184886i 0.0103558 0.999946i \(-0.496704\pi\)
−0.579376 + 0.815061i \(0.696704\pi\)
\(72\) 1.51300 + 2.59053i 0.178309 + 0.305297i
\(73\) −10.6274 1.68322i −1.24385 0.197006i −0.500396 0.865797i \(-0.666812\pi\)
−0.743451 + 0.668791i \(0.766812\pi\)
\(74\) 8.40547 0.977116
\(75\) 0.972905 8.60543i 0.112341 0.993670i
\(76\) −3.49819 −0.401270
\(77\) −0.450681 0.0713809i −0.0513599 0.00813461i
\(78\) 7.55556 + 2.21748i 0.855499 + 0.251081i
\(79\) 8.57556 + 2.78637i 0.964826 + 0.313491i 0.748725 0.662880i \(-0.230666\pi\)
0.216100 + 0.976371i \(0.430666\pi\)
\(80\) 1.91574 + 1.15323i 0.214186 + 0.128935i
\(81\) 3.74283 + 8.18481i 0.415871 + 0.909424i
\(82\) 1.52960 1.52960i 0.168916 0.168916i
\(83\) −9.01058 4.59112i −0.989039 0.503941i −0.116871 0.993147i \(-0.537286\pi\)
−0.872168 + 0.489206i \(0.837286\pi\)
\(84\) 0.0473370 + 0.251884i 0.00516489 + 0.0274828i
\(85\) 3.11318 7.68727i 0.337672 0.833801i
\(86\) −2.30301 3.16982i −0.248340 0.341810i
\(87\) 2.35709 + 1.61130i 0.252707 + 0.172750i
\(88\) −0.482397 3.04574i −0.0514237 0.324676i
\(89\) 6.13326 4.45607i 0.650124 0.472343i −0.213189 0.977011i \(-0.568385\pi\)
0.863314 + 0.504668i \(0.168385\pi\)
\(90\) 5.37428 + 4.01461i 0.566499 + 0.423177i
\(91\) 0.544231 + 0.395407i 0.0570509 + 0.0414499i
\(92\) −2.24450 + 4.40507i −0.234005 + 0.459261i
\(93\) 13.7690 0.395073i 1.42778 0.0409672i
\(94\) −5.09921 + 1.65683i −0.525944 + 0.170889i
\(95\) −7.20287 + 3.05048i −0.738999 + 0.312973i
\(96\) −1.52008 + 0.830274i −0.155143 + 0.0847395i
\(97\) −4.20877 8.26018i −0.427336 0.838694i −0.999824 0.0187810i \(-0.994021\pi\)
0.572487 0.819913i \(-0.305979\pi\)
\(98\) 1.09162 6.89219i 0.110270 0.696217i
\(99\) −0.530447 9.23588i −0.0533120 0.928241i
\(100\) 4.95019 + 0.703974i 0.495019 + 0.0703974i
\(101\) 4.19074i 0.416994i −0.978023 0.208497i \(-0.933143\pi\)
0.978023 0.208497i \(-0.0668571\pi\)
\(102\) 3.92362 + 5.08693i 0.388496 + 0.503681i
\(103\) −15.5940 + 7.94553i −1.53652 + 0.782896i −0.998207 0.0598493i \(-0.980938\pi\)
−0.538312 + 0.842745i \(0.680938\pi\)
\(104\) −1.40485 + 4.32369i −0.137757 + 0.423973i
\(105\) 0.317115 + 0.477358i 0.0309473 + 0.0465853i
\(106\) −3.56807 10.9814i −0.346561 1.06661i
\(107\) 0.457779 + 0.457779i 0.0442552 + 0.0442552i 0.728888 0.684633i \(-0.240037\pi\)
−0.684633 + 0.728888i \(0.740037\pi\)
\(108\) −4.78554 + 2.02450i −0.460489 + 0.194808i
\(109\) −0.0442666 + 0.0609277i −0.00423997 + 0.00583582i −0.811132 0.584864i \(-0.801148\pi\)
0.806892 + 0.590699i \(0.201148\pi\)
\(110\) −3.64920 5.85059i −0.347937 0.557832i
\(111\) −1.86413 + 14.4389i −0.176935 + 1.37048i
\(112\) −0.146149 + 0.0231478i −0.0138098 + 0.00218726i
\(113\) −16.9061 + 2.67766i −1.59039 + 0.251893i −0.887980 0.459881i \(-0.847892\pi\)
−0.702408 + 0.711774i \(0.747892\pi\)
\(114\) 0.775813 6.00918i 0.0726615 0.562811i
\(115\) −0.780186 + 11.0274i −0.0727527 + 1.02831i
\(116\) −0.968935 + 1.33363i −0.0899634 + 0.123824i
\(117\) −5.48482 + 12.4871i −0.507072 + 1.15443i
\(118\) 9.10802 + 9.10802i 0.838461 + 0.838461i
\(119\) 0.169600 + 0.521974i 0.0155472 + 0.0478493i
\(120\) −2.40587 + 3.03509i −0.219625 + 0.277065i
\(121\) 0.460680 1.41783i 0.0418800 0.128893i
\(122\) −13.0127 + 6.63030i −1.17811 + 0.600279i
\(123\) 2.28831 + 2.96676i 0.206330 + 0.267504i
\(124\) 7.95279i 0.714181i
\(125\) 10.8065 2.86715i 0.966559 0.256445i
\(126\) −0.443183 + 0.0254535i −0.0394819 + 0.00226758i
\(127\) 1.39490 8.80705i 0.123777 0.781499i −0.845218 0.534421i \(-0.820530\pi\)
0.968996 0.247078i \(-0.0794704\pi\)
\(128\) −0.453990 0.891007i −0.0401275 0.0787546i
\(129\) 5.95584 3.25310i 0.524383 0.286420i
\(130\) 0.877698 + 10.1276i 0.0769792 + 0.888253i
\(131\) 1.60573 0.521733i 0.140293 0.0455840i −0.238029 0.971258i \(-0.576501\pi\)
0.378322 + 0.925674i \(0.376501\pi\)
\(132\) 5.33893 0.153190i 0.464694 0.0133335i
\(133\) 0.235000 0.461214i 0.0203771 0.0399923i
\(134\) −2.93827 2.13478i −0.253828 0.184417i
\(135\) −8.08815 + 8.34157i −0.696117 + 0.717928i
\(136\) −3.00070 + 2.18014i −0.257308 + 0.186945i
\(137\) 2.28802 + 14.4460i 0.195479 + 1.23420i 0.868916 + 0.494959i \(0.164817\pi\)
−0.673438 + 0.739244i \(0.735183\pi\)
\(138\) −7.06923 4.83252i −0.601773 0.411371i
\(139\) −10.4809 14.4257i −0.888977 1.22357i −0.973853 0.227180i \(-0.927050\pi\)
0.0848764 0.996391i \(-0.472950\pi\)
\(140\) −0.280740 + 0.175107i −0.0237269 + 0.0147992i
\(141\) −1.71522 9.12684i −0.144448 0.768619i
\(142\) 4.49191 + 2.28874i 0.376953 + 0.192067i
\(143\) 9.91301 9.91301i 0.828967 0.828967i
\(144\) −1.08912 2.79532i −0.0907603 0.232943i
\(145\) −0.832121 + 3.59090i −0.0691039 + 0.298208i
\(146\) 10.2333 + 3.32499i 0.846912 + 0.275178i
\(147\) 11.5973 + 3.40369i 0.956527 + 0.280732i
\(148\) −8.30199 1.31491i −0.682419 0.108085i
\(149\) 15.4486 1.26560 0.632800 0.774316i \(-0.281906\pi\)
0.632800 + 0.774316i \(0.281906\pi\)
\(150\) −2.30711 + 8.34729i −0.188375 + 0.681553i
\(151\) −7.09145 −0.577094 −0.288547 0.957466i \(-0.593172\pi\)
−0.288547 + 0.957466i \(0.593172\pi\)
\(152\) 3.45513 + 0.547238i 0.280248 + 0.0443869i
\(153\) −9.60845 + 5.61182i −0.776797 + 0.453689i
\(154\) 0.433966 + 0.141004i 0.0349700 + 0.0113624i
\(155\) 6.93495 + 16.3750i 0.557029 + 1.31527i
\(156\) −7.11565 3.37213i −0.569708 0.269987i
\(157\) 5.10830 5.10830i 0.407687 0.407687i −0.473244 0.880931i \(-0.656917\pi\)
0.880931 + 0.473244i \(0.156917\pi\)
\(158\) −8.03409 4.09358i −0.639158 0.325667i
\(159\) 19.6551 3.69380i 1.55875 0.292938i
\(160\) −1.71175 1.43872i −0.135326 0.113741i
\(161\) −0.430000 0.591844i −0.0338887 0.0466439i
\(162\) −2.41637 8.66955i −0.189848 0.681145i
\(163\) −0.335098 2.11572i −0.0262469 0.165716i 0.971083 0.238741i \(-0.0767347\pi\)
−0.997330 + 0.0730249i \(0.976735\pi\)
\(164\) −1.75005 + 1.27149i −0.136656 + 0.0992863i
\(165\) 10.8594 4.97105i 0.845404 0.386996i
\(166\) 8.18143 + 5.94416i 0.635002 + 0.461356i
\(167\) 1.90498 3.73873i 0.147412 0.289312i −0.805480 0.592623i \(-0.798092\pi\)
0.952891 + 0.303312i \(0.0980923\pi\)
\(168\) −0.00735081 0.256188i −0.000567128 0.0197654i
\(169\) −7.29261 + 2.36951i −0.560970 + 0.182270i
\(170\) −4.27741 + 7.10562i −0.328062 + 0.544976i
\(171\) 10.1505 + 2.66537i 0.776226 + 0.203826i
\(172\) 1.77878 + 3.49106i 0.135631 + 0.266191i
\(173\) −0.0170042 + 0.107360i −0.00129280 + 0.00816244i −0.988326 0.152352i \(-0.951315\pi\)
0.987034 + 0.160514i \(0.0513153\pi\)
\(174\) −2.07601 1.96020i −0.157382 0.148602i
\(175\) −0.425356 + 0.605359i −0.0321539 + 0.0457608i
\(176\) 3.08370i 0.232443i
\(177\) −17.6656 + 13.6258i −1.32783 + 1.02417i
\(178\) −6.75483 + 3.44176i −0.506296 + 0.257971i
\(179\) −0.495650 + 1.52545i −0.0370466 + 0.114018i −0.967870 0.251452i \(-0.919092\pi\)
0.930823 + 0.365470i \(0.119092\pi\)
\(180\) −4.68009 4.80590i −0.348834 0.358211i
\(181\) −3.90297 12.0121i −0.290105 0.892852i −0.984822 0.173568i \(-0.944470\pi\)
0.694717 0.719284i \(-0.255530\pi\)
\(182\) −0.475675 0.475675i −0.0352594 0.0352594i
\(183\) −8.50359 23.8236i −0.628603 1.76109i
\(184\) 2.90597 3.99972i 0.214231 0.294864i
\(185\) −18.2406 + 4.53204i −1.34108 + 0.333202i
\(186\) −13.6612 1.76373i −1.00169 0.129323i
\(187\) 11.2968 1.78924i 0.826107 0.130843i
\(188\) 5.29562 0.838744i 0.386223 0.0611717i
\(189\) 0.0545633 0.766943i 0.00396889 0.0557869i
\(190\) 7.59139 1.88615i 0.550738 0.136835i
\(191\) 12.2687 16.8865i 0.887734 1.22186i −0.0864840 0.996253i \(-0.527563\pi\)
0.974218 0.225608i \(-0.0724369\pi\)
\(192\) 1.63125 0.582259i 0.117725 0.0420209i
\(193\) −4.75446 4.75446i −0.342233 0.342233i 0.514973 0.857206i \(-0.327802\pi\)
−0.857206 + 0.514973i \(0.827802\pi\)
\(194\) 2.86478 + 8.81688i 0.205679 + 0.633015i
\(195\) −17.5919 0.738358i −1.25978 0.0528749i
\(196\) −2.15635 + 6.63657i −0.154025 + 0.474041i
\(197\) 3.85665 1.96506i 0.274775 0.140005i −0.311174 0.950353i \(-0.600722\pi\)
0.585948 + 0.810348i \(0.300722\pi\)
\(198\) −0.920894 + 9.20515i −0.0654451 + 0.654182i
\(199\) 0.610848i 0.0433019i 0.999766 + 0.0216509i \(0.00689224\pi\)
−0.999766 + 0.0216509i \(0.993108\pi\)
\(200\) −4.77912 1.46969i −0.337935 0.103923i
\(201\) 4.31874 4.57390i 0.304621 0.322618i
\(202\) −0.655576 + 4.13914i −0.0461261 + 0.291229i
\(203\) −0.110739 0.217337i −0.00777235 0.0152541i
\(204\) −3.07954 5.63809i −0.215611 0.394745i
\(205\) −2.49464 + 4.14409i −0.174233 + 0.289436i
\(206\) 16.6449 5.40827i 1.15971 0.376812i
\(207\) 9.86905 11.0718i 0.685947 0.769540i
\(208\) 2.06393 4.05069i 0.143108 0.280865i
\(209\) −8.72718 6.34067i −0.603671 0.438593i
\(210\) −0.238536 0.521088i −0.0164605 0.0359585i
\(211\) 3.67523 2.67021i 0.253013 0.183825i −0.454048 0.890977i \(-0.650020\pi\)
0.707061 + 0.707152i \(0.250020\pi\)
\(212\) 1.80627 + 11.4044i 0.124055 + 0.783254i
\(213\) −4.92778 + 7.20859i −0.337646 + 0.493925i
\(214\) −0.380531 0.523756i −0.0260125 0.0358032i
\(215\) 6.70682 + 5.63706i 0.457401 + 0.384444i
\(216\) 5.04332 1.25096i 0.343155 0.0851168i
\(217\) −1.04852 0.534249i −0.0711783 0.0362672i
\(218\) 0.0532528 0.0532528i 0.00360673 0.00360673i
\(219\) −7.98114 + 16.8413i −0.539316 + 1.13803i
\(220\) 2.68903 + 6.34942i 0.181295 + 0.428078i
\(221\) −16.0369 5.21070i −1.07876 0.350509i
\(222\) 4.09991 13.9695i 0.275168 0.937571i
\(223\) 19.2711 + 3.05224i 1.29049 + 0.204393i 0.763681 0.645593i \(-0.223390\pi\)
0.526805 + 0.849986i \(0.323390\pi\)
\(224\) 0.147971 0.00988675
\(225\) −13.8273 5.81437i −0.921817 0.387624i
\(226\) 17.1168 1.13859
\(227\) 11.9356 + 1.89042i 0.792194 + 0.125471i 0.539401 0.842049i \(-0.318651\pi\)
0.252793 + 0.967520i \(0.418651\pi\)
\(228\) −1.70630 + 5.81383i −0.113003 + 0.385030i
\(229\) 5.88719 + 1.91287i 0.389037 + 0.126406i 0.497003 0.867749i \(-0.334434\pi\)
−0.107966 + 0.994155i \(0.534434\pi\)
\(230\) 2.49565 10.7696i 0.164558 0.710125i
\(231\) −0.338459 + 0.714193i −0.0222690 + 0.0469905i
\(232\) 1.16563 1.16563i 0.0765274 0.0765274i
\(233\) 6.74965 + 3.43912i 0.442184 + 0.225304i 0.660884 0.750488i \(-0.270182\pi\)
−0.218700 + 0.975792i \(0.570182\pi\)
\(234\) 7.37071 11.4754i 0.481838 0.750168i
\(235\) 10.1724 6.34486i 0.663575 0.413893i
\(236\) −7.57107 10.4207i −0.492835 0.678329i
\(237\) 8.81368 12.8931i 0.572510 0.837494i
\(238\) −0.0858568 0.542079i −0.00556527 0.0351377i
\(239\) −13.6576 + 9.92281i −0.883435 + 0.641853i −0.934158 0.356859i \(-0.883848\pi\)
0.0507228 + 0.998713i \(0.483848\pi\)
\(240\) 2.85105 2.62136i 0.184034 0.169208i
\(241\) −7.96740 5.78866i −0.513225 0.372880i 0.300820 0.953681i \(-0.402740\pi\)
−0.814046 + 0.580801i \(0.802740\pi\)
\(242\) −0.676805 + 1.32830i −0.0435066 + 0.0853866i
\(243\) 15.4284 2.22813i 0.989732 0.142934i
\(244\) 13.8897 4.51303i 0.889196 0.288917i
\(245\) 1.34721 + 15.5452i 0.0860699 + 0.993149i
\(246\) −1.79603 3.28821i −0.114511 0.209648i
\(247\) 7.22003 + 14.1701i 0.459399 + 0.901622i
\(248\) 1.24409 7.85487i 0.0789998 0.498785i
\(249\) −12.0253 + 12.7357i −0.762071 + 0.807095i
\(250\) −11.1219 + 1.14134i −0.703413 + 0.0721849i
\(251\) 0.308302i 0.0194599i 0.999953 + 0.00972993i \(0.00309718\pi\)
−0.999953 + 0.00972993i \(0.996903\pi\)
\(252\) 0.441709 + 0.0441891i 0.0278250 + 0.00278365i
\(253\) −13.5839 + 6.92136i −0.854014 + 0.435142i
\(254\) −2.75545 + 8.48041i −0.172892 + 0.532108i
\(255\) −11.2574 8.92356i −0.704963 0.558815i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) −5.10907 5.10907i −0.318695 0.318695i 0.529571 0.848266i \(-0.322353\pi\)
−0.848266 + 0.529571i \(0.822353\pi\)
\(258\) −6.39141 + 2.28135i −0.397912 + 0.142031i
\(259\) 0.731069 1.00623i 0.0454264 0.0625241i
\(260\) 0.717421 10.1403i 0.0444926 0.628872i
\(261\) 3.82762 3.13143i 0.236924 0.193831i
\(262\) −1.66758 + 0.264118i −0.103023 + 0.0163173i
\(263\) 5.16055 0.817350i 0.318213 0.0504000i 0.00471508 0.999989i \(-0.498499\pi\)
0.313498 + 0.949589i \(0.398499\pi\)
\(264\) −5.29716 0.683889i −0.326018 0.0420904i
\(265\) 13.6639 + 21.9068i 0.839369 + 1.34572i
\(266\) −0.304257 + 0.418773i −0.0186552 + 0.0256766i
\(267\) −4.41418 12.3667i −0.270143 0.756830i
\(268\) 2.56814 + 2.56814i 0.156874 + 0.156874i
\(269\) 0.702217 + 2.16120i 0.0428149 + 0.131771i 0.970179 0.242389i \(-0.0779311\pi\)
−0.927364 + 0.374160i \(0.877931\pi\)
\(270\) 9.29348 6.97361i 0.565583 0.424400i
\(271\) −5.82840 + 17.9380i −0.354050 + 1.08965i 0.602508 + 0.798113i \(0.294168\pi\)
−0.956558 + 0.291541i \(0.905832\pi\)
\(272\) 3.30481 1.68388i 0.200383 0.102100i
\(273\) 0.922605 0.711619i 0.0558386 0.0430691i
\(274\) 14.6260i 0.883592i
\(275\) 11.0736 + 10.7287i 0.667762 + 0.646968i
\(276\) 6.22623 + 5.87890i 0.374775 + 0.353868i
\(277\) 2.59202 16.3654i 0.155739 0.983299i −0.778757 0.627326i \(-0.784149\pi\)
0.934496 0.355973i \(-0.115851\pi\)
\(278\) 8.09517 + 15.8877i 0.485516 + 0.952878i
\(279\) 6.05945 23.0761i 0.362770 1.38153i
\(280\) 0.304677 0.129033i 0.0182079 0.00771121i
\(281\) −23.8171 + 7.73865i −1.42081 + 0.461649i −0.915859 0.401499i \(-0.868489\pi\)
−0.504951 + 0.863148i \(0.668489\pi\)
\(282\) 0.266351 + 9.28279i 0.0158610 + 0.552782i
\(283\) 12.1655 23.8762i 0.723165 1.41929i −0.177209 0.984173i \(-0.556707\pi\)
0.900374 0.435117i \(-0.143293\pi\)
\(284\) −4.07857 2.96325i −0.242019 0.175837i
\(285\) 1.55643 + 13.4588i 0.0921947 + 0.797228i
\(286\) −11.3417 + 8.24023i −0.670649 + 0.487255i
\(287\) −0.0500729 0.316148i −0.00295571 0.0186616i
\(288\) 0.638430 + 2.93128i 0.0376198 + 0.172727i
\(289\) 1.90607 + 2.62348i 0.112122 + 0.154322i
\(290\) 1.38362 3.41651i 0.0812488 0.200625i
\(291\) −15.7809 + 2.96573i −0.925094 + 0.173854i
\(292\) −9.58715 4.88489i −0.561045 0.285867i
\(293\) 1.78525 1.78525i 0.104296 0.104296i −0.653033 0.757329i \(-0.726504\pi\)
0.757329 + 0.653033i \(0.226504\pi\)
\(294\) −10.9220 5.17600i −0.636986 0.301870i
\(295\) −24.6760 14.8544i −1.43669 0.864855i
\(296\) 7.99408 + 2.59743i 0.464646 + 0.150973i
\(297\) −15.6083 3.62338i −0.905687 0.210250i
\(298\) −15.2584 2.41669i −0.883896 0.139995i
\(299\) 22.4761 1.29983
\(300\) 3.58451 7.88361i 0.206952 0.455160i
\(301\) −0.579767 −0.0334172
\(302\) 7.00414 + 1.10935i 0.403043 + 0.0638357i
\(303\) −6.96480 2.04410i −0.400117 0.117431i
\(304\) −3.32698 1.08100i −0.190815 0.0619997i
\(305\) 24.6638 21.4045i 1.41224 1.22562i
\(306\) 10.3680 4.03963i 0.592701 0.230931i
\(307\) −18.1356 + 18.1356i −1.03505 + 1.03505i −0.0356889 + 0.999363i \(0.511363\pi\)
−0.999363 + 0.0356889i \(0.988637\pi\)
\(308\) −0.406565 0.207155i −0.0231662 0.0118038i
\(309\) 5.59885 + 29.7920i 0.318508 + 1.69481i
\(310\) −4.28796 17.2583i −0.243540 0.980203i
\(311\) 6.19053 + 8.52054i 0.351033 + 0.483155i 0.947623 0.319391i \(-0.103478\pi\)
−0.596590 + 0.802546i \(0.703478\pi\)
\(312\) 6.50052 + 4.44375i 0.368020 + 0.251578i
\(313\) 2.76954 + 17.4862i 0.156543 + 0.988377i 0.933436 + 0.358744i \(0.116795\pi\)
−0.776893 + 0.629633i \(0.783205\pi\)
\(314\) −5.84453 + 4.24630i −0.329826 + 0.239632i
\(315\) 0.948024 0.294191i 0.0534151 0.0165758i
\(316\) 7.29480 + 5.29999i 0.410365 + 0.298147i
\(317\) 2.31211 4.53776i 0.129861 0.254866i −0.816916 0.576756i \(-0.804318\pi\)
0.946777 + 0.321890i \(0.104318\pi\)
\(318\) −19.9909 + 0.573599i −1.12103 + 0.0321659i
\(319\) −4.83453 + 1.57084i −0.270682 + 0.0879499i
\(320\) 1.46561 + 1.68878i 0.0819301 + 0.0944058i
\(321\) 0.984096 0.537517i 0.0549269 0.0300013i
\(322\) 0.332121 + 0.651824i 0.0185084 + 0.0363248i
\(323\) −2.02974 + 12.8153i −0.112938 + 0.713063i
\(324\) 1.03040 + 8.94082i 0.0572445 + 0.496712i
\(325\) −7.36527 21.5047i −0.408552 1.19286i
\(326\) 2.14210i 0.118640i
\(327\) 0.0796671 + 0.103287i 0.00440560 + 0.00571181i
\(328\) 1.92741 0.982063i 0.106423 0.0542254i
\(329\) −0.245164 + 0.754537i −0.0135163 + 0.0415990i
\(330\) −11.5034 + 3.21106i −0.633239 + 0.176763i
\(331\) −4.54014 13.9731i −0.249548 0.768031i −0.994855 0.101309i \(-0.967697\pi\)
0.745307 0.666722i \(-0.232303\pi\)
\(332\) −7.15083 7.15083i −0.392453 0.392453i
\(333\) 23.0874 + 10.1409i 1.26518 + 0.555717i
\(334\) −2.46639 + 3.39470i −0.134955 + 0.185750i
\(335\) 7.52733 + 3.04841i 0.411262 + 0.166553i
\(336\) −0.0328164 + 0.254184i −0.00179028 + 0.0138669i
\(337\) −24.4578 + 3.87373i −1.33230 + 0.211015i −0.781648 0.623720i \(-0.785621\pi\)
−0.550651 + 0.834735i \(0.685621\pi\)
\(338\) 7.57350 1.19952i 0.411944 0.0652455i
\(339\) −3.79608 + 29.4031i −0.206175 + 1.59696i
\(340\) 5.33631 6.34900i 0.289402 0.344323i
\(341\) −14.4149 + 19.8403i −0.780608 + 1.07441i
\(342\) −9.60854 4.22044i −0.519571 0.228215i
\(343\) −1.46255 1.46255i −0.0789703 0.0789703i
\(344\) −1.21076 3.72634i −0.0652799 0.200911i
\(345\) 17.9465 + 6.67543i 0.966205 + 0.359393i
\(346\) 0.0335897 0.103378i 0.00180579 0.00555765i
\(347\) −28.4710 + 14.5067i −1.52840 + 0.778760i −0.997633 0.0687565i \(-0.978097\pi\)
−0.530769 + 0.847516i \(0.678097\pi\)
\(348\) 1.74381 + 2.26082i 0.0934778 + 0.121193i
\(349\) 27.0969i 1.45047i 0.688504 + 0.725233i \(0.258268\pi\)
−0.688504 + 0.725233i \(0.741732\pi\)
\(350\) 0.514818 0.531366i 0.0275182 0.0284027i
\(351\) 18.0777 + 15.2063i 0.964914 + 0.811652i
\(352\) 0.482397 3.04574i 0.0257118 0.162338i
\(353\) −2.81680 5.52827i −0.149923 0.294240i 0.803815 0.594879i \(-0.202800\pi\)
−0.953738 + 0.300639i \(0.902800\pi\)
\(354\) 19.5797 10.6945i 1.04065 0.568406i
\(355\) −10.9819 2.54484i −0.582858 0.135066i
\(356\) 7.21008 2.34270i 0.382133 0.124163i
\(357\) 0.950221 0.0272647i 0.0502910 0.00144300i
\(358\) 0.728181 1.42914i 0.0384855 0.0755321i
\(359\) −27.6886 20.1169i −1.46135 1.06173i −0.983009 0.183555i \(-0.941239\pi\)
−0.478338 0.878176i \(-0.658761\pi\)
\(360\) 3.87067 + 5.47886i 0.204002 + 0.288761i
\(361\) −5.47109 + 3.97498i −0.287952 + 0.209209i
\(362\) 1.97581 + 12.4748i 0.103846 + 0.655659i
\(363\) −2.13165 1.45720i −0.111883 0.0764829i
\(364\) 0.395407 + 0.544231i 0.0207250 + 0.0285255i
\(365\) −23.9999 1.69799i −1.25621 0.0888767i
\(366\) 4.67207 + 24.8605i 0.244213 + 1.29948i
\(367\) 10.8271 + 5.51668i 0.565170 + 0.287968i 0.713138 0.701024i \(-0.247273\pi\)
−0.147968 + 0.988992i \(0.547273\pi\)
\(368\) −3.49589 + 3.49589i −0.182236 + 0.182236i
\(369\) 6.04678 2.35597i 0.314783 0.122647i
\(370\) 18.7250 1.62278i 0.973467 0.0843641i
\(371\) −1.62493 0.527971i −0.0843621 0.0274109i
\(372\) 13.2171 + 3.87911i 0.685277 + 0.201122i
\(373\) 25.3102 + 4.00874i 1.31051 + 0.207565i 0.772307 0.635249i \(-0.219103\pi\)
0.538205 + 0.842814i \(0.319103\pi\)
\(374\) −11.4377 −0.591427
\(375\) 0.505976 19.3583i 0.0261285 0.999659i
\(376\) −5.36163 −0.276505
\(377\) 7.40192 + 1.17235i 0.381218 + 0.0603790i
\(378\) −0.173868 + 0.748965i −0.00894279 + 0.0385226i
\(379\) −6.14399 1.99630i −0.315596 0.102543i 0.146936 0.989146i \(-0.453059\pi\)
−0.462532 + 0.886603i \(0.653059\pi\)
\(380\) −7.79299 + 0.675368i −0.399772 + 0.0346457i
\(381\) −13.9565 6.61404i −0.715013 0.338848i
\(382\) −14.7593 + 14.7593i −0.755152 + 0.755152i
\(383\) 0.244359 + 0.124507i 0.0124861 + 0.00636200i 0.460222 0.887804i \(-0.347770\pi\)
−0.447736 + 0.894166i \(0.647770\pi\)
\(384\) −1.70225 + 0.319907i −0.0868677 + 0.0163252i
\(385\) −1.01777 0.0720071i −0.0518705 0.00366982i
\(386\) 3.95216 + 5.43968i 0.201160 + 0.276873i
\(387\) −2.50144 11.4851i −0.127155 0.583819i
\(388\) −1.45024 9.15648i −0.0736250 0.464850i
\(389\) 22.1354 16.0823i 1.12231 0.815407i 0.137754 0.990467i \(-0.456012\pi\)
0.984558 + 0.175059i \(0.0560117\pi\)
\(390\) 17.2598 + 3.48124i 0.873982 + 0.176279i
\(391\) 14.8353 + 10.7784i 0.750251 + 0.545089i
\(392\) 3.16799 6.21754i 0.160008 0.314033i
\(393\) −0.0838734 2.92313i −0.00423085 0.147452i
\(394\) −4.11657 + 1.33755i −0.207390 + 0.0673850i
\(395\) 19.6419 + 4.55163i 0.988289 + 0.229017i
\(396\) 2.34956 8.94776i 0.118070 0.449642i
\(397\) 0.538470 + 1.05681i 0.0270250 + 0.0530396i 0.904124 0.427270i \(-0.140524\pi\)
−0.877099 + 0.480309i \(0.840524\pi\)
\(398\) 0.0955577 0.603327i 0.00478987 0.0302421i
\(399\) −0.651890 0.615524i −0.0326353 0.0308147i
\(400\) 4.49037 + 2.19921i 0.224519 + 0.109961i
\(401\) 4.37934i 0.218694i −0.994004 0.109347i \(-0.965124\pi\)
0.994004 0.109347i \(-0.0348759\pi\)
\(402\) −4.98109 + 3.84199i −0.248434 + 0.191621i
\(403\) 32.2143 16.4140i 1.60471 0.817639i
\(404\) 1.29501 3.98563i 0.0644291 0.198292i
\(405\) 9.91816 + 17.5109i 0.492837 + 0.870122i
\(406\) 0.0753765 + 0.231985i 0.00374087 + 0.0115132i
\(407\) −18.3282 18.3282i −0.908494 0.908494i
\(408\) 2.15964 + 6.05042i 0.106918 + 0.299540i
\(409\) 19.0597 26.2334i 0.942440 1.29716i −0.0123647 0.999924i \(-0.503936\pi\)
0.954805 0.297234i \(-0.0960641\pi\)
\(410\) 3.11221 3.70282i 0.153701 0.182869i
\(411\) 25.1245 + 3.24369i 1.23930 + 0.160000i
\(412\) −17.2861 + 2.73784i −0.851623 + 0.134884i
\(413\) 1.88250 0.298159i 0.0926320 0.0146715i
\(414\) −11.4796 + 9.39158i −0.564189 + 0.461571i
\(415\) −20.9594 8.48812i −1.02886 0.416665i
\(416\) −2.67219 + 3.67795i −0.131015 + 0.180326i
\(417\) −29.0870 + 10.3823i −1.42440 + 0.508425i
\(418\) 7.62783 + 7.62783i 0.373089 + 0.373089i
\(419\) −9.10066 28.0089i −0.444596 1.36833i −0.882926 0.469512i \(-0.844430\pi\)
0.438330 0.898814i \(-0.355570\pi\)
\(420\) 0.154083 + 0.551988i 0.00751847 + 0.0269343i
\(421\) 1.83346 5.64281i 0.0893574 0.275014i −0.896385 0.443277i \(-0.853816\pi\)
0.985742 + 0.168263i \(0.0538158\pi\)
\(422\) −4.04770 + 2.06240i −0.197039 + 0.100396i
\(423\) −16.0050 1.60116i −0.778190 0.0778509i
\(424\) 11.5465i 0.560748i
\(425\) 5.45118 17.7261i 0.264421 0.859842i
\(426\) 5.99479 6.34897i 0.290448 0.307608i
\(427\) −0.338062 + 2.13444i −0.0163600 + 0.103293i
\(428\) 0.293912 + 0.576835i 0.0142068 + 0.0278824i
\(429\) −11.6397 21.3102i −0.561970 1.02887i
\(430\) −5.74242 6.61683i −0.276924 0.319092i
\(431\) −16.7496 + 5.44228i −0.806801 + 0.262146i −0.683242 0.730192i \(-0.739431\pi\)
−0.123559 + 0.992337i \(0.539431\pi\)
\(432\) −5.17692 + 0.446605i −0.249075 + 0.0214873i
\(433\) −4.11844 + 8.08290i −0.197920 + 0.388439i −0.968541 0.248854i \(-0.919946\pi\)
0.770621 + 0.637293i \(0.219946\pi\)
\(434\) 0.952038 + 0.691696i 0.0456993 + 0.0332025i
\(435\) 5.56201 + 3.13447i 0.266678 + 0.150286i
\(436\) −0.0609277 + 0.0442666i −0.00291791 + 0.00211998i
\(437\) −2.70551 17.0819i −0.129422 0.817138i
\(438\) 10.5174 15.3854i 0.502542 0.735142i
\(439\) 16.9822 + 23.3740i 0.810517 + 1.11558i 0.991243 + 0.132048i \(0.0421553\pi\)
−0.180726 + 0.983533i \(0.557845\pi\)
\(440\) −1.66266 6.69191i −0.0792642 0.319024i
\(441\) 11.3135 17.6139i 0.538740 0.838757i
\(442\) 15.0243 + 7.65526i 0.714633 + 0.364124i
\(443\) 12.4501 12.4501i 0.591523 0.591523i −0.346520 0.938043i \(-0.612637\pi\)
0.938043 + 0.346520i \(0.112637\pi\)
\(444\) −6.23474 + 13.1561i −0.295888 + 0.624362i
\(445\) 12.8029 11.1110i 0.606915 0.526711i
\(446\) −18.5563 6.02932i −0.878668 0.285497i
\(447\) 7.53532 25.6748i 0.356408 1.21438i
\(448\) −0.146149 0.0231478i −0.00690491 0.00109363i
\(449\) −12.8503 −0.606444 −0.303222 0.952920i \(-0.598062\pi\)
−0.303222 + 0.952920i \(0.598062\pi\)
\(450\) 12.7475 + 7.90584i 0.600921 + 0.372685i
\(451\) −6.67060 −0.314106
\(452\) −16.9061 2.67766i −0.795194 0.125946i
\(453\) −3.45897 + 11.7856i −0.162517 + 0.553738i
\(454\) −11.4929 3.73428i −0.539390 0.175259i
\(455\) 1.28873 + 0.775785i 0.0604166 + 0.0363694i
\(456\) 2.59478 5.47533i 0.121512 0.256406i
\(457\) 10.9813 10.9813i 0.513683 0.513683i −0.401970 0.915653i \(-0.631674\pi\)
0.915653 + 0.401970i \(0.131674\pi\)
\(458\) −5.51547 2.81027i −0.257721 0.131316i
\(459\) 4.63989 + 18.7060i 0.216571 + 0.873123i
\(460\) −4.14965 + 10.2466i −0.193479 + 0.477750i
\(461\) 6.59561 + 9.07808i 0.307188 + 0.422808i 0.934502 0.355958i \(-0.115846\pi\)
−0.627314 + 0.778767i \(0.715846\pi\)
\(462\) 0.446017 0.652454i 0.0207506 0.0303549i
\(463\) 0.201904 + 1.27477i 0.00938330 + 0.0592438i 0.991936 0.126742i \(-0.0404521\pi\)
−0.982552 + 0.185986i \(0.940452\pi\)
\(464\) −1.33363 + 0.968935i −0.0619120 + 0.0449817i
\(465\) 30.5971 3.53837i 1.41891 0.164088i
\(466\) −6.12855 4.45265i −0.283900 0.206265i
\(467\) 16.6117 32.6024i 0.768700 1.50866i −0.0898651 0.995954i \(-0.528644\pi\)
0.858565 0.512705i \(-0.171356\pi\)
\(468\) −9.07510 + 10.1810i −0.419497 + 0.470619i
\(469\) −0.511114 + 0.166071i −0.0236010 + 0.00766845i
\(470\) −11.0397 + 4.67542i −0.509225 + 0.215661i
\(471\) −5.99809 10.9814i −0.276377 0.505997i
\(472\) 5.84771 + 11.4768i 0.269162 + 0.528261i
\(473\) −1.89008 + 11.9335i −0.0869062 + 0.548704i
\(474\) −10.7221 + 11.3556i −0.492482 + 0.521578i
\(475\) −15.4570 + 8.18621i −0.709218 + 0.375609i
\(476\) 0.548836i 0.0251559i
\(477\) 3.44816 34.4675i 0.157881 1.57816i
\(478\) 15.0417 7.66413i 0.687991 0.350549i
\(479\) −8.59259 + 26.4453i −0.392605 + 1.20832i 0.538205 + 0.842814i \(0.319103\pi\)
−0.930811 + 0.365502i \(0.880897\pi\)
\(480\) −3.22602 + 2.14309i −0.147247 + 0.0978180i
\(481\) 11.8084 + 36.3427i 0.538419 + 1.65708i
\(482\) 6.96376 + 6.96376i 0.317191 + 0.317191i
\(483\) −1.19336 + 0.425957i −0.0542996 + 0.0193817i
\(484\) 0.876264 1.20607i 0.0398302 0.0548216i
\(485\) −10.9707 17.5888i −0.498153 0.798666i
\(486\) −15.5870 0.212837i −0.707041 0.00965449i
\(487\) 9.45297 1.49720i 0.428355 0.0678448i 0.0614653 0.998109i \(-0.480423\pi\)
0.366890 + 0.930264i \(0.380423\pi\)
\(488\) −14.4247 + 2.28464i −0.652974 + 0.103421i
\(489\) −3.67968 0.475064i −0.166401 0.0214831i
\(490\) 1.10119 15.5646i 0.0497468 0.703137i
\(491\) 6.14271 8.45471i 0.277216 0.381556i −0.647593 0.761986i \(-0.724224\pi\)
0.924809 + 0.380431i \(0.124224\pi\)
\(492\) 1.25953 + 3.52869i 0.0567840 + 0.159085i
\(493\) 4.32341 + 4.32341i 0.194716 + 0.194716i
\(494\) −4.91445 15.1251i −0.221111 0.680511i
\(495\) −2.96478 20.4725i −0.133257 0.920172i
\(496\) −2.45755 + 7.56355i −0.110347 + 0.339613i
\(497\) 0.664674 0.338668i 0.0298147 0.0151913i
\(498\) 13.8695 10.6978i 0.621509 0.479379i
\(499\) 15.0118i 0.672022i −0.941858 0.336011i \(-0.890922\pi\)
0.941858 0.336011i \(-0.109078\pi\)
\(500\) 11.1635 + 0.612561i 0.499249 + 0.0273946i
\(501\) −5.28441 4.98961i −0.236090 0.222920i
\(502\) 0.0482291 0.304507i 0.00215257 0.0135908i
\(503\) −5.04097 9.89345i −0.224766 0.441127i 0.750893 0.660424i \(-0.229624\pi\)
−0.975658 + 0.219297i \(0.929624\pi\)
\(504\) −0.429358 0.112744i −0.0191251 0.00502200i
\(505\) −0.809072 9.33578i −0.0360032 0.415437i
\(506\) 14.4994 4.71115i 0.644578 0.209436i
\(507\) 0.380921 + 13.2757i 0.0169173 + 0.589596i
\(508\) 4.04816 7.94495i 0.179608 0.352500i
\(509\) 31.3045 + 22.7440i 1.38755 + 1.00811i 0.996130 + 0.0878971i \(0.0280147\pi\)
0.391416 + 0.920214i \(0.371985\pi\)
\(510\) 9.72281 + 10.5747i 0.430533 + 0.468257i
\(511\) 1.28808 0.935846i 0.0569814 0.0413994i
\(512\) −0.156434 0.987688i −0.00691349 0.0436501i
\(513\) 9.38079 15.5695i 0.414172 0.687411i
\(514\) 4.24694 + 5.84540i 0.187324 + 0.257830i
\(515\) −33.2050 + 20.7110i −1.46319 + 0.912635i
\(516\) 6.66961 1.25343i 0.293613 0.0551791i
\(517\) 14.7316 + 7.50612i 0.647895 + 0.330119i
\(518\) −0.879477 + 0.879477i −0.0386420 + 0.0386420i
\(519\) 0.170133 + 0.0806269i 0.00746802 + 0.00353913i
\(520\) −2.29487 + 9.90319i −0.100637 + 0.434283i
\(521\) 20.0378 + 6.51069i 0.877874 + 0.285239i 0.713074 0.701089i \(-0.247302\pi\)
0.164800 + 0.986327i \(0.447302\pi\)
\(522\) −4.27036 + 2.49410i −0.186909 + 0.109164i
\(523\) 11.4878 + 1.81949i 0.502326 + 0.0795606i 0.402455 0.915440i \(-0.368157\pi\)
0.0998710 + 0.995000i \(0.468157\pi\)
\(524\) 1.68836 0.0737565
\(525\) 0.798603 + 1.00220i 0.0348539 + 0.0437394i
\(526\) −5.22487 −0.227815
\(527\) 29.1343 + 4.61442i 1.26911 + 0.201007i
\(528\) 5.12496 + 1.50413i 0.223035 + 0.0654587i
\(529\) −1.37184 0.445739i −0.0596454 0.0193800i
\(530\) −10.0687 23.7746i −0.437358 1.03270i
\(531\) 14.0286 + 36.0056i 0.608791 + 1.56251i
\(532\) 0.366021 0.366021i 0.0158690 0.0158690i
\(533\) 8.76237 + 4.46465i 0.379541 + 0.193386i
\(534\) 2.42525 + 12.9050i 0.104951 + 0.558453i
\(535\) 1.10818 + 0.931423i 0.0479109 + 0.0402689i
\(536\) −2.13478 2.93827i −0.0922084 0.126914i
\(537\) 2.29347 + 1.56781i 0.0989704 + 0.0676560i
\(538\) −0.355485 2.24445i −0.0153261 0.0967649i
\(539\) −17.4087 + 12.6482i −0.749847 + 0.544796i
\(540\) −10.2700 + 5.43393i −0.441949 + 0.233839i
\(541\) −13.9722 10.1514i −0.600713 0.436443i 0.245419 0.969417i \(-0.421074\pi\)
−0.846132 + 0.532974i \(0.821074\pi\)
\(542\) 8.56276 16.8054i 0.367802 0.721852i
\(543\) −21.8673 + 0.627438i −0.938414 + 0.0269259i
\(544\) −3.52754 + 1.14617i −0.151242 + 0.0491415i
\(545\) −0.0868506 + 0.144276i −0.00372027 + 0.00618010i
\(546\) −1.02257 + 0.558531i −0.0437619 + 0.0239029i
\(547\) 2.54530 + 4.99544i 0.108829 + 0.213590i 0.938998 0.343923i \(-0.111756\pi\)
−0.830169 + 0.557512i \(0.811756\pi\)
\(548\) −2.28802 + 14.4460i −0.0977393 + 0.617101i
\(549\) −43.7414 + 2.51221i −1.86684 + 0.107219i
\(550\) −9.25891 12.3289i −0.394801 0.525708i
\(551\) 5.76660i 0.245666i
\(552\) −5.22991 6.78051i −0.222600 0.288598i
\(553\) −1.18882 + 0.605732i −0.0505536 + 0.0257583i
\(554\) −5.12021 + 15.7584i −0.217537 + 0.669510i
\(555\) −1.36515 + 32.5256i −0.0579474 + 1.38064i
\(556\) −5.51012 16.9584i −0.233681 0.719197i
\(557\) 0.714899 + 0.714899i 0.0302913 + 0.0302913i 0.722090 0.691799i \(-0.243182\pi\)
−0.691799 + 0.722090i \(0.743182\pi\)
\(558\) −9.59474 + 21.8440i −0.406178 + 0.924732i
\(559\) 10.4699 14.4106i 0.442830 0.609504i
\(560\) −0.321111 + 0.0797827i −0.0135694 + 0.00337143i
\(561\) 2.53659 19.6475i 0.107095 0.829520i
\(562\) 24.7345 3.91756i 1.04336 0.165252i
\(563\) 1.65657 0.262374i 0.0698159 0.0110578i −0.121429 0.992600i \(-0.538748\pi\)
0.191245 + 0.981542i \(0.438748\pi\)
\(564\) 1.18908 9.21017i 0.0500692 0.387818i
\(565\) −37.1450 + 9.22898i −1.56270 + 0.388266i
\(566\) −15.7508 + 21.6791i −0.662055 + 0.911241i
\(567\) −1.24801 0.464771i −0.0524114 0.0195185i
\(568\) 3.56480 + 3.56480i 0.149576 + 0.149576i
\(569\) 3.81378 + 11.7376i 0.159882 + 0.492066i 0.998623 0.0524648i \(-0.0167077\pi\)
−0.838741 + 0.544531i \(0.816708\pi\)
\(570\) 0.568149 13.5365i 0.0237972 0.566983i
\(571\) −1.99738 + 6.14731i −0.0835879 + 0.257257i −0.984112 0.177549i \(-0.943183\pi\)
0.900524 + 0.434806i \(0.143183\pi\)
\(572\) 12.4911 6.36454i 0.522280 0.266115i
\(573\) −22.0802 28.6267i −0.922413 1.19590i
\(574\) 0.320088i 0.0133602i
\(575\) 0.390937 + 24.7166i 0.0163032 + 1.03075i
\(576\) −0.172016 2.99506i −0.00716735 0.124794i
\(577\) −5.12648 + 32.3673i −0.213418 + 1.34747i 0.615516 + 0.788124i \(0.288947\pi\)
−0.828935 + 0.559346i \(0.811053\pi\)
\(578\) −1.47220 2.88935i −0.0612354 0.120181i
\(579\) −10.2207 + 5.58261i −0.424760 + 0.232005i
\(580\) −1.90104 + 3.15800i −0.0789365 + 0.131129i
\(581\) 1.42317 0.462415i 0.0590429 0.0191842i
\(582\) 16.0506 0.460539i 0.665318 0.0190900i
\(583\) −16.1648 + 31.7252i −0.669477 + 1.31392i
\(584\) 8.70495 + 6.32451i 0.360213 + 0.261710i
\(585\) −9.80784 + 28.8767i −0.405504 + 1.19390i
\(586\) −2.04255 + 1.48400i −0.0843770 + 0.0613035i
\(587\) 4.09589 + 25.8604i 0.169056 + 1.06737i 0.915615 + 0.402056i \(0.131704\pi\)
−0.746559 + 0.665319i \(0.768296\pi\)
\(588\) 9.97786 + 6.82086i 0.411480 + 0.281287i
\(589\) −16.3524 22.5072i −0.673790 0.927392i
\(590\) 22.0485 + 18.5317i 0.907722 + 0.762937i
\(591\) −1.38469 7.36805i −0.0569585 0.303081i
\(592\) −7.48933 3.81600i −0.307810 0.156837i
\(593\) −28.6751 + 28.6751i −1.17754 + 1.17754i −0.197176 + 0.980368i \(0.563177\pi\)
−0.980368 + 0.197176i \(0.936823\pi\)
\(594\) 14.8493 + 6.02045i 0.609276 + 0.247022i
\(595\) 0.478593 + 1.13007i 0.0196204 + 0.0463282i
\(596\) 14.6925 + 4.77388i 0.601828 + 0.195546i
\(597\) 1.01520 + 0.297951i 0.0415494 + 0.0121943i
\(598\) −22.1994 3.51603i −0.907799 0.143781i
\(599\) 23.8130 0.972971 0.486486 0.873689i \(-0.338279\pi\)
0.486486 + 0.873689i \(0.338279\pi\)
\(600\) −4.77365 + 7.22581i −0.194883 + 0.294992i
\(601\) −24.9278 −1.01683 −0.508413 0.861113i \(-0.669768\pi\)
−0.508413 + 0.861113i \(0.669768\pi\)
\(602\) 0.572630 + 0.0906956i 0.0233386 + 0.00369648i
\(603\) −5.49506 9.40854i −0.223776 0.383145i
\(604\) −6.74437 2.19138i −0.274424 0.0891659i
\(605\) 0.752536 3.24746i 0.0305949 0.132028i
\(606\) 6.55929 + 3.10847i 0.266453 + 0.126273i
\(607\) −12.2020 + 12.2020i −0.495265 + 0.495265i −0.909960 0.414695i \(-0.863888\pi\)
0.414695 + 0.909960i \(0.363888\pi\)
\(608\) 3.11691 + 1.58815i 0.126408 + 0.0644079i
\(609\) −0.415219 + 0.0780327i −0.0168255 + 0.00316205i
\(610\) −27.7085 + 17.2827i −1.12189 + 0.699755i
\(611\) −14.3273 19.7198i −0.579620 0.797778i
\(612\) −10.8723 + 2.36798i −0.439488 + 0.0957200i
\(613\) −0.289494 1.82779i −0.0116926 0.0738239i 0.981152 0.193237i \(-0.0618987\pi\)
−0.992845 + 0.119413i \(0.961899\pi\)
\(614\) 20.7493 15.0753i 0.837375 0.608388i
\(615\) 5.67048 + 6.16733i 0.228656 + 0.248691i
\(616\) 0.369154 + 0.268206i 0.0148736 + 0.0108063i
\(617\) 2.00017 3.92556i 0.0805239 0.158037i −0.847234 0.531220i \(-0.821734\pi\)
0.927758 + 0.373183i \(0.121734\pi\)
\(618\) −0.869429 30.3011i −0.0349736 1.21889i
\(619\) −4.50152 + 1.46263i −0.180931 + 0.0587882i −0.398082 0.917350i \(-0.630324\pi\)
0.217150 + 0.976138i \(0.430324\pi\)
\(620\) 1.53538 + 17.7166i 0.0616624 + 0.711514i
\(621\) −13.5869 21.8023i −0.545224 0.874897i
\(622\) −4.78141 9.38405i −0.191717 0.376266i
\(623\) −0.175486 + 1.10798i −0.00703072 + 0.0443902i
\(624\) −5.72534 5.40595i −0.229197 0.216411i
\(625\) 23.5202 8.47351i 0.940808 0.338940i
\(626\) 17.7041i 0.707599i
\(627\) −14.7947 + 11.4114i −0.590844 + 0.455727i
\(628\) 6.43684 3.27973i 0.256858 0.130876i
\(629\) −9.63406 + 29.6506i −0.384135 + 1.18225i
\(630\) −0.982374 + 0.142265i −0.0391387 + 0.00566798i
\(631\) 9.68700 + 29.8135i 0.385633 + 1.18686i 0.936020 + 0.351947i \(0.114480\pi\)
−0.550387 + 0.834910i \(0.685520\pi\)
\(632\) −6.37589 6.37589i −0.253619 0.253619i
\(633\) −2.64511 7.41050i −0.105134 0.294541i
\(634\) −2.99350 + 4.12020i −0.118887 + 0.163634i
\(635\) 1.40714 19.8889i 0.0558405 0.789268i
\(636\) 19.8345 + 2.56073i 0.786490 + 0.101540i
\(637\) 31.3333 4.96270i 1.24147 0.196629i
\(638\) 5.02075 0.795208i 0.198773 0.0314826i
\(639\) 9.57672 + 11.7059i 0.378849 + 0.463076i
\(640\) −1.18338 1.89726i −0.0467773 0.0749959i
\(641\) 17.3534 23.8849i 0.685419 0.943398i −0.314564 0.949236i \(-0.601858\pi\)
0.999983 + 0.00583804i \(0.00185832\pi\)
\(642\) −1.05607 + 0.376953i −0.0416796 + 0.0148771i
\(643\) −23.8141 23.8141i −0.939135 0.939135i 0.0591164 0.998251i \(-0.481172\pi\)
−0.998251 + 0.0591164i \(0.981172\pi\)
\(644\) −0.226064 0.695754i −0.00890818 0.0274166i
\(645\) 12.6399 8.39684i 0.497695 0.330625i
\(646\) 4.00951 12.3400i 0.157752 0.485511i
\(647\) −32.2362 + 16.4252i −1.26734 + 0.645740i −0.952827 0.303514i \(-0.901840\pi\)
−0.314509 + 0.949254i \(0.601840\pi\)
\(648\) 0.380938 8.99193i 0.0149647 0.353237i
\(649\) 39.7202i 1.55915i
\(650\) 3.91053 + 22.3921i 0.153383 + 0.878290i
\(651\) −1.39933 + 1.48200i −0.0548441 + 0.0580843i
\(652\) 0.335098 2.11572i 0.0131234 0.0828581i
\(653\) −7.26139 14.2513i −0.284160 0.557696i 0.704168 0.710033i \(-0.251320\pi\)
−0.988329 + 0.152337i \(0.951320\pi\)
\(654\) −0.0625286 0.114478i −0.00244506 0.00447646i
\(655\) 3.47639 1.47228i 0.135834 0.0575267i
\(656\) −2.05731 + 0.668459i −0.0803243 + 0.0260990i
\(657\) 24.0964 + 21.4789i 0.940091 + 0.837971i
\(658\) 0.360181 0.706895i 0.0140413 0.0275576i
\(659\) −9.25834 6.72658i −0.360654 0.262030i 0.392671 0.919679i \(-0.371551\pi\)
−0.753325 + 0.657649i \(0.771551\pi\)
\(660\) 11.8641 1.37201i 0.461808 0.0534053i
\(661\) 5.86553 4.26156i 0.228143 0.165755i −0.467842 0.883812i \(-0.654968\pi\)
0.695984 + 0.718057i \(0.254968\pi\)
\(662\) 2.29836 + 14.5113i 0.0893285 + 0.563998i
\(663\) −16.4822 + 24.1109i −0.640115 + 0.936390i
\(664\) 5.94416 + 8.18143i 0.230678 + 0.317501i
\(665\) 0.434471 1.07282i 0.0168481 0.0416023i
\(666\) −21.2168 13.6277i −0.822135 0.528063i
\(667\) −7.26155 3.69994i −0.281168 0.143262i
\(668\) 2.96707 2.96707i 0.114800 0.114800i
\(669\) 14.4725 30.5388i 0.559538 1.18070i
\(670\) −6.95778 4.18841i −0.268803 0.161813i
\(671\) 42.8316 + 13.9168i 1.65350 + 0.537254i
\(672\) 0.0721755 0.245921i 0.00278423 0.00948661i
\(673\) 21.3991 + 3.38928i 0.824874 + 0.130647i 0.554580 0.832131i \(-0.312879\pi\)
0.270294 + 0.962778i \(0.412879\pi\)
\(674\) 24.7626 0.953821
\(675\) −16.4077 + 20.1442i −0.631532 + 0.775350i
\(676\) −7.66790 −0.294919
\(677\) 1.71330 + 0.271360i 0.0658476 + 0.0104292i 0.189271 0.981925i \(-0.439387\pi\)
−0.123424 + 0.992354i \(0.539387\pi\)
\(678\) 8.34901 28.4473i 0.320642 1.09251i
\(679\) 1.30465 + 0.423905i 0.0500677 + 0.0162680i
\(680\) −6.26381 + 5.43605i −0.240206 + 0.208463i
\(681\) 8.96358 18.9143i 0.343485 0.724799i
\(682\) 17.3411 17.3411i 0.664025 0.664025i
\(683\) 11.0971 + 5.65426i 0.424619 + 0.216354i 0.653224 0.757165i \(-0.273416\pi\)
−0.228604 + 0.973519i \(0.573416\pi\)
\(684\) 8.83003 + 5.67159i 0.337624 + 0.216859i
\(685\) 7.88602 + 31.7398i 0.301310 + 1.21272i
\(686\) 1.21575 + 1.67334i 0.0464176 + 0.0638883i
\(687\) 6.05067 8.85120i 0.230847 0.337694i
\(688\) 0.612927 + 3.86987i 0.0233676 + 0.147537i
\(689\) 42.4675 30.8544i 1.61788 1.17546i
\(690\) −16.6812 9.40069i −0.635044 0.357878i
\(691\) −30.9813 22.5093i −1.17859 0.856293i −0.186574 0.982441i \(-0.559738\pi\)
−0.992011 + 0.126148i \(0.959738\pi\)
\(692\) −0.0493481 + 0.0968510i −0.00187593 + 0.00368172i
\(693\) 1.02187 + 0.910863i 0.0388175 + 0.0346008i
\(694\) 30.3898 9.87425i 1.15358 0.374821i
\(695\) −26.1335 30.1129i −0.991300 1.14225i
\(696\) −1.36867 2.50578i −0.0518792 0.0949813i
\(697\) 3.64254 + 7.14889i 0.137971 + 0.270784i
\(698\) 4.23889 26.7633i 0.160445 1.01301i
\(699\) 9.00790 9.54010i 0.340710 0.360840i
\(700\) −0.591604 + 0.444288i −0.0223605 + 0.0167925i
\(701\) 22.4631i 0.848418i 0.905564 + 0.424209i \(0.139448\pi\)
−0.905564 + 0.424209i \(0.860552\pi\)
\(702\) −15.4763 17.8471i −0.584115 0.673594i
\(703\) 26.1991 13.3491i 0.988119 0.503472i
\(704\) −0.952916 + 2.93277i −0.0359144 + 0.110533i
\(705\) −5.58307 20.0009i −0.210271 0.753277i
\(706\) 1.91730 + 5.90085i 0.0721587 + 0.222082i
\(707\) 0.438483 + 0.438483i 0.0164909 + 0.0164909i
\(708\) −21.0116 + 7.49989i −0.789664 + 0.281863i
\(709\) −23.3849 + 32.1865i −0.878238 + 1.20879i 0.0986680 + 0.995120i \(0.468542\pi\)
−0.976906 + 0.213670i \(0.931458\pi\)
\(710\) 10.4486 + 4.23146i 0.392128 + 0.158804i
\(711\) −17.1286 20.9367i −0.642374 0.785188i
\(712\) −7.48779 + 1.18595i −0.280617 + 0.0444453i
\(713\) −38.8339 + 6.15069i −1.45434 + 0.230345i
\(714\) −0.942787 0.121718i −0.0352829 0.00455519i
\(715\) 20.1696 23.9972i 0.754299 0.897445i
\(716\) −0.942782 + 1.29763i −0.0352334 + 0.0484946i
\(717\) 9.82952 + 27.5383i 0.367090 + 1.02844i
\(718\) 24.2007 + 24.2007i 0.903162 + 0.903162i
\(719\) −3.27225 10.0709i −0.122034 0.375583i 0.871315 0.490724i \(-0.163268\pi\)
−0.993349 + 0.115142i \(0.963268\pi\)
\(720\) −2.96593 6.01691i −0.110534 0.224237i
\(721\) 0.800268 2.46297i 0.0298036 0.0917259i
\(722\) 6.02555 3.07017i 0.224248 0.114260i
\(723\) −13.5067 + 10.4179i −0.502320 + 0.387447i
\(724\) 12.6303i 0.469400i
\(725\) −1.16047 + 8.16015i −0.0430987 + 0.303060i
\(726\) 1.87745 + 1.77272i 0.0696788 + 0.0657918i
\(727\) 2.03732 12.8632i 0.0755602 0.477068i −0.920672 0.390338i \(-0.872358\pi\)
0.996232 0.0867303i \(-0.0276418\pi\)
\(728\) −0.305402 0.599386i −0.0113190 0.0222147i
\(729\) 3.82242 26.7281i 0.141571 0.989928i
\(730\) 23.4388 + 5.43149i 0.867508 + 0.201028i
\(731\) 13.8213 4.49080i 0.511198 0.166098i
\(732\) −0.725511 25.2853i −0.0268157 0.934571i
\(733\) −19.6340 + 38.5339i −0.725199 + 1.42328i 0.173553 + 0.984824i \(0.444475\pi\)
−0.898752 + 0.438458i \(0.855525\pi\)
\(734\) −9.83080 7.14249i −0.362861 0.263634i
\(735\) 26.4926 + 5.34347i 0.977193 + 0.197097i
\(736\) 3.99972 2.90597i 0.147432 0.107115i
\(737\) 1.75202 + 11.0618i 0.0645364 + 0.407467i
\(738\) −6.34089 + 1.38104i −0.233411 + 0.0508367i
\(739\) −7.30628 10.0562i −0.268766 0.369924i 0.653207 0.757180i \(-0.273423\pi\)
−0.921973 + 0.387255i \(0.873423\pi\)
\(740\) −18.7483 1.32644i −0.689203 0.0487609i
\(741\) 27.0717 5.08763i 0.994504 0.186899i
\(742\) 1.52233 + 0.775666i 0.0558865 + 0.0284756i
\(743\) −5.87728 + 5.87728i −0.215616 + 0.215616i −0.806648 0.591032i \(-0.798721\pi\)
0.591032 + 0.806648i \(0.298721\pi\)
\(744\) −12.4476 5.89897i −0.456351 0.216267i
\(745\) 34.4151 2.98254i 1.26087 0.109272i
\(746\) −24.3715 7.91878i −0.892304 0.289927i
\(747\) 15.3007 + 26.1975i 0.559822 + 0.958517i
\(748\) 11.2968 + 1.78924i 0.413054 + 0.0654213i
\(749\) −0.0957962 −0.00350032
\(750\) −3.52805 + 19.0408i −0.128826 + 0.695272i
\(751\) −30.0007 −1.09474 −0.547371 0.836890i \(-0.684371\pi\)
−0.547371 + 0.836890i \(0.684371\pi\)
\(752\) 5.29562 + 0.838744i 0.193111 + 0.0305858i
\(753\) 0.512383 + 0.150380i 0.0186723 + 0.00548014i
\(754\) −7.12739 2.31583i −0.259564 0.0843376i
\(755\) −15.7977 + 1.36909i −0.574939 + 0.0498262i
\(756\) 0.288891 0.712545i 0.0105069 0.0259150i
\(757\) 0.751496 0.751496i 0.0273136 0.0273136i −0.693318 0.720632i \(-0.743852\pi\)
0.720632 + 0.693318i \(0.243852\pi\)