Properties

Label 29.6.d.a.16.7
Level $29$
Weight $6$
Character 29.16
Analytic conductor $4.651$
Analytic rank $0$
Dimension $66$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 29.d (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.65113077458\)
Analytic rank: \(0\)
Dimension: \(66\)
Relative dimension: \(11\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 16.7
Character \(\chi\) \(=\) 29.16
Dual form 29.6.d.a.20.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.69866 + 0.818031i) q^{2} +(5.27812 - 6.61856i) q^{3} +(-17.7354 - 22.2395i) q^{4} +(-69.8948 - 33.6596i) q^{5} +(14.3799 - 6.92500i) q^{6} +(10.7481 - 13.4777i) q^{7} +(-25.3589 - 111.105i) q^{8} +(38.1259 + 167.040i) q^{9} +O(q^{10})\) \(q+(1.69866 + 0.818031i) q^{2} +(5.27812 - 6.61856i) q^{3} +(-17.7354 - 22.2395i) q^{4} +(-69.8948 - 33.6596i) q^{5} +(14.3799 - 6.92500i) q^{6} +(10.7481 - 13.4777i) q^{7} +(-25.3589 - 111.105i) q^{8} +(38.1259 + 167.040i) q^{9} +(-91.1929 - 114.352i) q^{10} +(117.034 - 512.758i) q^{11} -240.803 q^{12} +(61.6907 - 270.284i) q^{13} +(29.2825 - 14.1017i) q^{14} +(-591.691 + 284.943i) q^{15} +(-154.739 + 677.957i) q^{16} +1485.03 q^{17} +(-71.8813 + 314.933i) q^{18} +(-231.628 - 290.453i) q^{19} +(491.041 + 2151.39i) q^{20} +(-32.4730 - 142.274i) q^{21} +(618.252 - 775.263i) q^{22} +(-1786.39 + 860.281i) q^{23} +(-869.199 - 418.584i) q^{24} +(1803.91 + 2262.04i) q^{25} +(325.892 - 408.656i) q^{26} +(3160.19 + 1521.87i) q^{27} -490.358 q^{28} +(3807.75 - 2451.98i) q^{29} -1238.17 q^{30} +(-3776.10 - 1818.47i) q^{31} +(-3091.17 + 3876.20i) q^{32} +(-2776.00 - 3480.99i) q^{33} +(2522.55 + 1214.80i) q^{34} +(-1204.89 + 580.243i) q^{35} +(3038.72 - 3810.43i) q^{36} +(-2986.26 - 13083.7i) q^{37} +(-155.858 - 682.859i) q^{38} +(-1463.28 - 1834.90i) q^{39} +(-1967.28 + 8619.20i) q^{40} -2200.85 q^{41} +(61.2236 - 268.238i) q^{42} +(3897.78 - 1877.07i) q^{43} +(-13479.1 + 6491.20i) q^{44} +(2957.71 - 12958.6i) q^{45} -3738.20 q^{46} +(4690.03 - 20548.4i) q^{47} +(3670.37 + 4602.49i) q^{48} +(3673.78 + 16095.9i) q^{49} +(1213.82 + 5318.08i) q^{50} +(7838.16 - 9828.74i) q^{51} +(-7105.10 + 3421.63i) q^{52} +(27308.5 + 13151.1i) q^{53} +(4123.14 + 5170.26i) q^{54} +(-25439.2 + 31899.8i) q^{55} +(-1769.99 - 852.382i) q^{56} -3144.94 q^{57} +(8473.86 - 1050.23i) q^{58} +30542.5 q^{59} +(16830.9 + 8105.33i) q^{60} +(-25601.0 + 32102.6i) q^{61} +(-4926.73 - 6177.93i) q^{62} +(2661.09 + 1281.52i) q^{63} +(11627.2 - 5599.35i) q^{64} +(-13409.5 + 16815.0i) q^{65} +(-1867.91 - 8183.87i) q^{66} +(-7810.51 - 34220.1i) q^{67} +(-26337.6 - 33026.3i) q^{68} +(-3734.98 + 16364.0i) q^{69} -2521.35 q^{70} +(8114.58 - 35552.3i) q^{71} +(17592.1 - 8471.92i) q^{72} +(-31525.7 + 15182.0i) q^{73} +(5630.21 - 24667.5i) q^{74} +24492.7 q^{75} +(-2351.50 + 10302.6i) q^{76} +(-5652.89 - 7088.50i) q^{77} +(-984.613 - 4313.87i) q^{78} +(8451.84 + 37029.9i) q^{79} +(33635.2 - 42177.2i) q^{80} +(-10759.2 + 5181.33i) q^{81} +(-3738.50 - 1800.37i) q^{82} +(23766.5 + 29802.2i) q^{83} +(-2588.17 + 3245.46i) q^{84} +(-103796. - 49985.4i) q^{85} +8156.51 q^{86} +(3869.18 - 38143.6i) q^{87} -59937.6 q^{88} +(-48407.0 - 23311.6i) q^{89} +(15624.6 - 19592.7i) q^{90} +(-2979.75 - 3736.48i) q^{91} +(50814.6 + 24471.0i) q^{92} +(-31966.4 + 15394.2i) q^{93} +(24775.9 - 31068.0i) q^{94} +(6413.10 + 28097.6i) q^{95} +(9339.30 + 40918.1i) q^{96} +(40514.7 + 50803.8i) q^{97} +(-6926.44 + 30346.7i) q^{98} +90113.3 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} + O(q^{10}) \) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} - 141q^{10} + 1125q^{11} - 248q^{12} - 1789q^{13} + 1233q^{14} + 1061q^{15} + 2629q^{16} + 676q^{17} - 10896q^{18} - 1903q^{19} + 4081q^{20} - 439q^{21} - 2980q^{22} + 9945q^{23} + 10741q^{24} - 22114q^{25} - 1641q^{26} - 4427q^{27} + 7508q^{28} - 13100q^{29} - 40018q^{30} + 8541q^{31} + 18996q^{32} + 20725q^{33} - 8839q^{34} + 14127q^{35} + 70172q^{36} + 3791q^{37} + 36322q^{38} + 25843q^{39} - 72621q^{40} - 18720q^{41} - 72614q^{42} - 10419q^{43} + 35796q^{44} + 23163q^{45} + 15848q^{46} - 40549q^{47} - 4194q^{48} + 19808q^{49} + 201932q^{50} + 51998q^{51} + 8330q^{52} - 72275q^{53} - 197108q^{54} + 42183q^{55} + 31599q^{56} - 40162q^{57} - 258031q^{58} - 333512q^{59} + 26920q^{60} - 175281q^{61} + 213745q^{62} + 354423q^{63} - 19790q^{64} - 79593q^{65} + 103783q^{66} + 135179q^{67} + 334644q^{68} + 73673q^{69} - 511678q^{70} - 187563q^{71} - 17551q^{72} - 56675q^{73} + 159980q^{74} + 538208q^{75} - 215041q^{76} + 106099q^{77} + 37481q^{78} + 273775q^{79} + 571652q^{80} - 61356q^{81} - 37092q^{82} - 237831q^{83} + 127523q^{84} - 148844q^{85} - 348400q^{86} - 110493q^{87} - 985638q^{88} + 74239q^{89} - 630714q^{90} + 100309q^{91} + 132694q^{92} - 307921q^{93} + 206074q^{94} + 37965q^{95} + 687094q^{96} + 136055q^{97} - 115704q^{98} + 438608q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.69866 + 0.818031i 0.300283 + 0.144609i 0.577958 0.816066i \(-0.303850\pi\)
−0.277675 + 0.960675i \(0.589564\pi\)
\(3\) 5.27812 6.61856i 0.338592 0.424581i −0.583162 0.812356i \(-0.698185\pi\)
0.921754 + 0.387775i \(0.126756\pi\)
\(4\) −17.7354 22.2395i −0.554231 0.694984i
\(5\) −69.8948 33.6596i −1.25032 0.602121i −0.312720 0.949845i \(-0.601240\pi\)
−0.937597 + 0.347725i \(0.886954\pi\)
\(6\) 14.3799 6.92500i 0.163071 0.0785311i
\(7\) 10.7481 13.4777i 0.0829060 0.103961i −0.738649 0.674091i \(-0.764536\pi\)
0.821555 + 0.570130i \(0.193107\pi\)
\(8\) −25.3589 111.105i −0.140089 0.613772i
\(9\) 38.1259 + 167.040i 0.156897 + 0.687409i
\(10\) −91.1929 114.352i −0.288377 0.361613i
\(11\) 117.034 512.758i 0.291628 1.27770i −0.590632 0.806941i \(-0.701121\pi\)
0.882260 0.470763i \(-0.156021\pi\)
\(12\) −240.803 −0.482735
\(13\) 61.6907 270.284i 0.101242 0.443570i −0.898745 0.438472i \(-0.855520\pi\)
0.999987 0.00509864i \(-0.00162295\pi\)
\(14\) 29.2825 14.1017i 0.0399289 0.0192288i
\(15\) −591.691 + 284.943i −0.678996 + 0.326987i
\(16\) −154.739 + 677.957i −0.151113 + 0.662068i
\(17\) 1485.03 1.24627 0.623135 0.782114i \(-0.285859\pi\)
0.623135 + 0.782114i \(0.285859\pi\)
\(18\) −71.8813 + 314.933i −0.0522920 + 0.229106i
\(19\) −231.628 290.453i −0.147200 0.184583i 0.702765 0.711422i \(-0.251948\pi\)
−0.849965 + 0.526839i \(0.823377\pi\)
\(20\) 491.041 + 2151.39i 0.274500 + 1.20266i
\(21\) −32.4730 142.274i −0.0160685 0.0704005i
\(22\) 618.252 775.263i 0.272338 0.341501i
\(23\) −1786.39 + 860.281i −0.704137 + 0.339094i −0.751454 0.659786i \(-0.770647\pi\)
0.0473172 + 0.998880i \(0.484933\pi\)
\(24\) −869.199 418.584i −0.308029 0.148339i
\(25\) 1803.91 + 2262.04i 0.577252 + 0.723851i
\(26\) 325.892 408.656i 0.0945455 0.118556i
\(27\) 3160.19 + 1521.87i 0.834264 + 0.401760i
\(28\) −490.358 −0.118200
\(29\) 3807.75 2451.98i 0.840762 0.541405i
\(30\) −1238.17 −0.251176
\(31\) −3776.10 1818.47i −0.705731 0.339862i 0.0463572 0.998925i \(-0.485239\pi\)
−0.752088 + 0.659063i \(0.770953\pi\)
\(32\) −3091.17 + 3876.20i −0.533639 + 0.669162i
\(33\) −2776.00 3480.99i −0.443746 0.556440i
\(34\) 2522.55 + 1214.80i 0.374234 + 0.180222i
\(35\) −1204.89 + 580.243i −0.166256 + 0.0800645i
\(36\) 3038.72 3810.43i 0.390781 0.490024i
\(37\) −2986.26 13083.7i −0.358611 1.57118i −0.756657 0.653812i \(-0.773169\pi\)
0.398046 0.917366i \(-0.369689\pi\)
\(38\) −155.858 682.859i −0.0175094 0.0767136i
\(39\) −1463.28 1834.90i −0.154052 0.193175i
\(40\) −1967.28 + 8619.20i −0.194409 + 0.851760i
\(41\) −2200.85 −0.204471 −0.102235 0.994760i \(-0.532600\pi\)
−0.102235 + 0.994760i \(0.532600\pi\)
\(42\) 61.2236 268.238i 0.00535545 0.0234637i
\(43\) 3897.78 1877.07i 0.321475 0.154814i −0.266186 0.963922i \(-0.585763\pi\)
0.587660 + 0.809108i \(0.300049\pi\)
\(44\) −13479.1 + 6491.20i −1.04961 + 0.505467i
\(45\) 2957.71 12958.6i 0.217733 0.953950i
\(46\) −3738.20 −0.260476
\(47\) 4690.03 20548.4i 0.309693 1.35685i −0.545313 0.838233i \(-0.683589\pi\)
0.855005 0.518619i \(-0.173554\pi\)
\(48\) 3670.37 + 4602.49i 0.229936 + 0.288330i
\(49\) 3673.78 + 16095.9i 0.218586 + 0.957690i
\(50\) 1213.82 + 5318.08i 0.0686639 + 0.300836i
\(51\) 7838.16 9828.74i 0.421977 0.529142i
\(52\) −7105.10 + 3421.63i −0.364386 + 0.175479i
\(53\) 27308.5 + 13151.1i 1.33539 + 0.643091i 0.959010 0.283373i \(-0.0914535\pi\)
0.376383 + 0.926464i \(0.377168\pi\)
\(54\) 4123.14 + 5170.26i 0.192417 + 0.241284i
\(55\) −25439.2 + 31899.8i −1.13396 + 1.42194i
\(56\) −1769.99 852.382i −0.0754225 0.0363215i
\(57\) −3144.94 −0.128211
\(58\) 8473.86 1050.23i 0.330759 0.0409933i
\(59\) 30542.5 1.14229 0.571143 0.820851i \(-0.306500\pi\)
0.571143 + 0.820851i \(0.306500\pi\)
\(60\) 16830.9 + 8105.33i 0.603572 + 0.290665i
\(61\) −25601.0 + 32102.6i −0.880911 + 1.10463i 0.112907 + 0.993606i \(0.463984\pi\)
−0.993818 + 0.111022i \(0.964588\pi\)
\(62\) −4926.73 6177.93i −0.162772 0.204110i
\(63\) 2661.09 + 1281.52i 0.0844713 + 0.0406792i
\(64\) 11627.2 5599.35i 0.354833 0.170879i
\(65\) −13409.5 + 16815.0i −0.393668 + 0.493644i
\(66\) −1867.91 8183.87i −0.0527834 0.231259i
\(67\) −7810.51 34220.1i −0.212565 0.931310i −0.962816 0.270157i \(-0.912925\pi\)
0.750251 0.661153i \(-0.229933\pi\)
\(68\) −26337.6 33026.3i −0.690722 0.866138i
\(69\) −3734.98 + 16364.0i −0.0944420 + 0.413777i
\(70\) −2521.35 −0.0615018
\(71\) 8114.58 35552.3i 0.191038 0.836993i −0.785018 0.619473i \(-0.787346\pi\)
0.976056 0.217520i \(-0.0697967\pi\)
\(72\) 17592.1 8471.92i 0.399933 0.192597i
\(73\) −31525.7 + 15182.0i −0.692400 + 0.333442i −0.746774 0.665078i \(-0.768398\pi\)
0.0543734 + 0.998521i \(0.482684\pi\)
\(74\) 5630.21 24667.5i 0.119521 0.523657i
\(75\) 24492.7 0.502786
\(76\) −2351.50 + 10302.6i −0.0466994 + 0.204603i
\(77\) −5652.89 7088.50i −0.108654 0.136247i
\(78\) −984.613 4313.87i −0.0183244 0.0802843i
\(79\) 8451.84 + 37029.9i 0.152364 + 0.667552i 0.992194 + 0.124702i \(0.0397975\pi\)
−0.839830 + 0.542850i \(0.817345\pi\)
\(80\) 33635.2 42177.2i 0.587583 0.736806i
\(81\) −10759.2 + 5181.33i −0.182207 + 0.0877464i
\(82\) −3738.50 1800.37i −0.0613992 0.0295683i
\(83\) 23766.5 + 29802.2i 0.378678 + 0.474847i 0.934249 0.356622i \(-0.116072\pi\)
−0.555571 + 0.831469i \(0.687500\pi\)
\(84\) −2588.17 + 3245.46i −0.0400216 + 0.0501855i
\(85\) −103796. 49985.4i −1.55823 0.750405i
\(86\) 8156.51 0.118921
\(87\) 3869.18 38143.6i 0.0548050 0.540286i
\(88\) −59937.6 −0.825073
\(89\) −48407.0 23311.6i −0.647789 0.311959i 0.0809827 0.996716i \(-0.474194\pi\)
−0.728772 + 0.684757i \(0.759908\pi\)
\(90\) 15624.6 19592.7i 0.203331 0.254969i
\(91\) −2979.75 3736.48i −0.0377204 0.0472998i
\(92\) 50814.6 + 24471.0i 0.625920 + 0.301427i
\(93\) −31966.4 + 15394.2i −0.383253 + 0.184565i
\(94\) 24775.9 31068.0i 0.289208 0.362655i
\(95\) 6413.10 + 28097.6i 0.0729053 + 0.319419i
\(96\) 9339.30 + 40918.1i 0.103428 + 0.453146i
\(97\) 40514.7 + 50803.8i 0.437203 + 0.548235i 0.950804 0.309794i \(-0.100260\pi\)
−0.513601 + 0.858029i \(0.671689\pi\)
\(98\) −6926.44 + 30346.7i −0.0728525 + 0.319188i
\(99\) 90113.3 0.924061
\(100\) 18313.4 80236.2i 0.183134 0.802362i
\(101\) 102175. 49205.0i 0.996649 0.479961i 0.136849 0.990592i \(-0.456303\pi\)
0.859800 + 0.510631i \(0.170588\pi\)
\(102\) 21354.6 10283.8i 0.203231 0.0978709i
\(103\) −24863.2 + 108933.i −0.230921 + 1.01173i 0.717956 + 0.696088i \(0.245078\pi\)
−0.948878 + 0.315644i \(0.897779\pi\)
\(104\) −31594.2 −0.286434
\(105\) −2519.17 + 11037.2i −0.0222990 + 0.0976981i
\(106\) 35629.9 + 44678.5i 0.307999 + 0.386219i
\(107\) 31537.6 + 138175.i 0.266298 + 1.16673i 0.914283 + 0.405076i \(0.132755\pi\)
−0.647985 + 0.761653i \(0.724388\pi\)
\(108\) −22201.7 97271.9i −0.183158 0.802468i
\(109\) −119926. + 150383.i −0.966827 + 1.21236i 0.0103526 + 0.999946i \(0.496705\pi\)
−0.977179 + 0.212416i \(0.931867\pi\)
\(110\) −69307.6 + 33376.8i −0.546134 + 0.263004i
\(111\) −102357. 49292.5i −0.788514 0.379729i
\(112\) 7474.13 + 9372.27i 0.0563010 + 0.0705992i
\(113\) 49897.7 62569.8i 0.367608 0.460966i −0.563283 0.826264i \(-0.690462\pi\)
0.930890 + 0.365299i \(0.119033\pi\)
\(114\) −5342.18 2572.66i −0.0384996 0.0185404i
\(115\) 153816. 1.08457
\(116\) −122063. 41195.5i −0.842245 0.284253i
\(117\) 47500.4 0.320799
\(118\) 51881.3 + 24984.7i 0.343009 + 0.165184i
\(119\) 15961.2 20014.7i 0.103323 0.129563i
\(120\) 46663.2 + 58513.7i 0.295816 + 0.370941i
\(121\) −104122. 50142.3i −0.646513 0.311344i
\(122\) −69748.3 + 33589.0i −0.424262 + 0.204314i
\(123\) −11616.4 + 14566.5i −0.0692322 + 0.0868144i
\(124\) 26528.7 + 116230.i 0.154939 + 0.678834i
\(125\) 4000.57 + 17527.7i 0.0229006 + 0.100334i
\(126\) 3471.97 + 4353.72i 0.0194827 + 0.0244306i
\(127\) 23820.4 104364.i 0.131051 0.574172i −0.866175 0.499741i \(-0.833429\pi\)
0.997226 0.0744314i \(-0.0237142\pi\)
\(128\) 182982. 0.987152
\(129\) 8149.46 35705.1i 0.0431176 0.188911i
\(130\) −36533.4 + 17593.5i −0.189597 + 0.0913051i
\(131\) 219482. 105697.i 1.11743 0.538125i 0.218332 0.975875i \(-0.429938\pi\)
0.899097 + 0.437749i \(0.144224\pi\)
\(132\) −28182.0 + 123474.i −0.140779 + 0.616793i
\(133\) −6404.19 −0.0313931
\(134\) 14725.7 64517.5i 0.0708457 0.310395i
\(135\) −169655. 212741.i −0.801185 1.00465i
\(136\) −37658.7 164993.i −0.174589 0.764926i
\(137\) −38615.5 169186.i −0.175776 0.770126i −0.983550 0.180634i \(-0.942185\pi\)
0.807774 0.589492i \(-0.200672\pi\)
\(138\) −19730.7 + 24741.5i −0.0881952 + 0.110593i
\(139\) −20247.3 + 9750.58i −0.0888853 + 0.0428049i −0.477798 0.878470i \(-0.658565\pi\)
0.388913 + 0.921275i \(0.372851\pi\)
\(140\) 34273.5 + 16505.2i 0.147788 + 0.0711708i
\(141\) −111246. 139498.i −0.471233 0.590908i
\(142\) 42866.8 53753.3i 0.178402 0.223709i
\(143\) −131371. 63264.7i −0.537227 0.258715i
\(144\) −119146. −0.478820
\(145\) −348674. + 43213.7i −1.37721 + 0.170687i
\(146\) −65970.7 −0.256135
\(147\) 125922. + 60641.0i 0.480628 + 0.231458i
\(148\) −238012. + 298457.i −0.893190 + 1.12003i
\(149\) −241355. 302649.i −0.890615 1.11680i −0.992530 0.122003i \(-0.961068\pi\)
0.101915 0.994793i \(-0.467503\pi\)
\(150\) 41604.7 + 20035.8i 0.150978 + 0.0727073i
\(151\) 442211. 212958.i 1.57829 0.760065i 0.579789 0.814767i \(-0.303135\pi\)
0.998503 + 0.0547016i \(0.0174207\pi\)
\(152\) −26396.8 + 33100.5i −0.0926706 + 0.116205i
\(153\) 56618.0 + 248060.i 0.195536 + 0.856697i
\(154\) −3803.72 16665.2i −0.0129243 0.0566250i
\(155\) 202721. + 254204.i 0.677749 + 0.849870i
\(156\) −14855.3 + 65085.3i −0.0488731 + 0.214127i
\(157\) 63313.5 0.204997 0.102498 0.994733i \(-0.467316\pi\)
0.102498 + 0.994733i \(0.467316\pi\)
\(158\) −15934.8 + 69815.0i −0.0507814 + 0.222488i
\(159\) 231179. 111330.i 0.725197 0.349236i
\(160\) 346528. 166879.i 1.07013 0.515350i
\(161\) −7605.70 + 33322.8i −0.0231246 + 0.101316i
\(162\) −22514.6 −0.0674027
\(163\) −12140.3 + 53189.9i −0.0357898 + 0.156805i −0.989665 0.143398i \(-0.954197\pi\)
0.953875 + 0.300203i \(0.0970544\pi\)
\(164\) 39033.0 + 48945.9i 0.113324 + 0.142104i
\(165\) 76859.2 + 336742.i 0.219779 + 0.962914i
\(166\) 15992.0 + 70065.5i 0.0450436 + 0.197349i
\(167\) −218527. + 274024.i −0.606336 + 0.760321i −0.986351 0.164659i \(-0.947348\pi\)
0.380015 + 0.924981i \(0.375919\pi\)
\(168\) −14983.8 + 7215.80i −0.0409588 + 0.0197247i
\(169\) 265276. + 127750.i 0.714464 + 0.344068i
\(170\) −135424. 169816.i −0.359396 0.450668i
\(171\) 39686.3 49765.0i 0.103789 0.130147i
\(172\) −110874. 53394.1i −0.285765 0.137617i
\(173\) −460220. −1.16910 −0.584548 0.811359i \(-0.698728\pi\)
−0.584548 + 0.811359i \(0.698728\pi\)
\(174\) 37775.1 61627.9i 0.0945872 0.154314i
\(175\) 49875.6 0.123110
\(176\) 329518. + 158688.i 0.801858 + 0.386155i
\(177\) 161207. 202147.i 0.386768 0.484992i
\(178\) −63157.4 79196.9i −0.149408 0.187352i
\(179\) 64996.0 + 31300.4i 0.151619 + 0.0730160i 0.508155 0.861266i \(-0.330328\pi\)
−0.356535 + 0.934282i \(0.616042\pi\)
\(180\) −340648. + 164047.i −0.783654 + 0.377388i
\(181\) 291210. 365165.i 0.660708 0.828501i −0.332713 0.943028i \(-0.607964\pi\)
0.993420 + 0.114527i \(0.0365353\pi\)
\(182\) −2005.01 8784.54i −0.00448682 0.0196580i
\(183\) 77347.9 + 338883.i 0.170734 + 0.748035i
\(184\) 140882. + 176660.i 0.306769 + 0.384676i
\(185\) −231667. + 1.01500e6i −0.497661 + 2.18040i
\(186\) −66892.9 −0.141774
\(187\) 173798. 761459.i 0.363447 1.59237i
\(188\) −540165. + 260130.i −1.11463 + 0.536778i
\(189\) 54477.1 26234.8i 0.110933 0.0534224i
\(190\) −12091.1 + 52974.4i −0.0242986 + 0.106459i
\(191\) 835492. 1.65714 0.828570 0.559886i \(-0.189155\pi\)
0.828570 + 0.559886i \(0.189155\pi\)
\(192\) 24310.0 106509.i 0.0475918 0.208513i
\(193\) −95245.7 119434.i −0.184057 0.230800i 0.681239 0.732061i \(-0.261441\pi\)
−0.865296 + 0.501261i \(0.832870\pi\)
\(194\) 27261.5 + 119440.i 0.0520051 + 0.227849i
\(195\) 40514.0 + 177503.i 0.0762989 + 0.334287i
\(196\) 292809. 367170.i 0.544432 0.682696i
\(197\) −569405. + 274211.i −1.04534 + 0.503407i −0.876080 0.482165i \(-0.839851\pi\)
−0.169256 + 0.985572i \(0.554136\pi\)
\(198\) 153072. + 73715.4i 0.277480 + 0.133627i
\(199\) −657656. 824675.i −1.17724 1.47622i −0.846413 0.532527i \(-0.821243\pi\)
−0.330831 0.943690i \(-0.607329\pi\)
\(200\) 205577. 257786.i 0.363413 0.455705i
\(201\) −267712. 128923.i −0.467389 0.225083i
\(202\) 213812. 0.368683
\(203\) 7878.98 77673.6i 0.0134193 0.132292i
\(204\) −357599. −0.601618
\(205\) 153828. + 74079.8i 0.255653 + 0.123116i
\(206\) −131345. + 164701.i −0.215647 + 0.270413i
\(207\) −211809. 265601.i −0.343573 0.430827i
\(208\) 173695. + 83647.3i 0.278375 + 0.134058i
\(209\) −176040. + 84776.5i −0.278770 + 0.134249i
\(210\) −13308.0 + 16687.7i −0.0208240 + 0.0261125i
\(211\) −228100. 999373.i −0.352712 1.54533i −0.770891 0.636967i \(-0.780189\pi\)
0.418179 0.908364i \(-0.362668\pi\)
\(212\) −191854. 840569.i −0.293178 1.28450i
\(213\) −192475. 241356.i −0.290687 0.364510i
\(214\) −59459.9 + 260511.i −0.0887544 + 0.388858i
\(215\) −335616. −0.495162
\(216\) 88947.4 389704.i 0.129718 0.568330i
\(217\) −65094.6 + 31347.9i −0.0938416 + 0.0451917i
\(218\) −326732. + 157346.i −0.465640 + 0.224240i
\(219\) −65913.7 + 288787.i −0.0928678 + 0.406881i
\(220\) 1.16061e6 1.61670
\(221\) 91612.3 401380.i 0.126175 0.552809i
\(222\) −133547. 167462.i −0.181866 0.228052i
\(223\) 209512. + 917934.i 0.282129 + 1.23609i 0.895058 + 0.445949i \(0.147134\pi\)
−0.612929 + 0.790138i \(0.710009\pi\)
\(224\) 19018.0 + 83323.5i 0.0253248 + 0.110955i
\(225\) −309076. + 387568.i −0.407013 + 0.510378i
\(226\) 135943. 65466.8i 0.177046 0.0852609i
\(227\) 948013. + 456539.i 1.22110 + 0.588049i 0.929617 0.368528i \(-0.120138\pi\)
0.291480 + 0.956577i \(0.405852\pi\)
\(228\) 55776.8 + 69941.9i 0.0710586 + 0.0891046i
\(229\) 277284. 347703.i 0.349410 0.438147i −0.575806 0.817586i \(-0.695312\pi\)
0.925217 + 0.379439i \(0.123883\pi\)
\(230\) 261281. + 125826.i 0.325678 + 0.156838i
\(231\) −76752.3 −0.0946371
\(232\) −368987. 360879.i −0.450081 0.440191i
\(233\) 161072. 0.194371 0.0971853 0.995266i \(-0.469016\pi\)
0.0971853 + 0.995266i \(0.469016\pi\)
\(234\) 80687.0 + 38856.8i 0.0963305 + 0.0463903i
\(235\) −1.01946e6 + 1.27836e6i −1.20420 + 1.51002i
\(236\) −541684. 679250.i −0.633090 0.793870i
\(237\) 289694. + 139509.i 0.335019 + 0.161337i
\(238\) 43485.3 20941.4i 0.0497622 0.0239642i
\(239\) 12176.0 15268.2i 0.0137883 0.0172899i −0.774890 0.632097i \(-0.782195\pi\)
0.788678 + 0.614807i \(0.210766\pi\)
\(240\) −101622. 445233.i −0.113883 0.498953i
\(241\) 399753. + 1.75143e6i 0.443352 + 1.94245i 0.306547 + 0.951856i \(0.400826\pi\)
0.136806 + 0.990598i \(0.456316\pi\)
\(242\) −135849. 170349.i −0.149114 0.186983i
\(243\) −212157. + 929521.i −0.230485 + 1.00982i
\(244\) 1.16799e6 1.25593
\(245\) 285003. 1.24868e6i 0.303343 1.32903i
\(246\) −31648.1 + 15240.9i −0.0333434 + 0.0160573i
\(247\) −92794.1 + 44687.3i −0.0967783 + 0.0466060i
\(248\) −106283. + 465656.i −0.109732 + 0.480769i
\(249\) 322690. 0.329828
\(250\) −7542.56 + 33046.1i −0.00763253 + 0.0334403i
\(251\) −933654. 1.17077e6i −0.935409 1.17297i −0.984713 0.174182i \(-0.944272\pi\)
0.0493040 0.998784i \(-0.484300\pi\)
\(252\) −18695.3 81909.6i −0.0185452 0.0812519i
\(253\) 232048. + 1.01667e6i 0.227917 + 0.998568i
\(254\) 125836. 157793.i 0.122383 0.153463i
\(255\) −878678. + 423149.i −0.846212 + 0.407514i
\(256\) −61245.0 29494.0i −0.0584077 0.0281277i
\(257\) 261680. + 328137.i 0.247137 + 0.309900i 0.889892 0.456172i \(-0.150780\pi\)
−0.642754 + 0.766072i \(0.722208\pi\)
\(258\) 43051.0 53984.3i 0.0402656 0.0504915i
\(259\) −208434. 100377.i −0.193072 0.0929785i
\(260\) 611780. 0.561257
\(261\) 554754. + 542564.i 0.504079 + 0.493003i
\(262\) 459288. 0.413363
\(263\) 1.54533e6 + 744194.i 1.37763 + 0.663432i 0.968493 0.249040i \(-0.0801151\pi\)
0.409138 + 0.912472i \(0.365829\pi\)
\(264\) −316358. + 396700.i −0.279363 + 0.350310i
\(265\) −1.46607e6 1.83839e6i −1.28244 1.60813i
\(266\) −10878.5 5238.82i −0.00942683 0.00453972i
\(267\) −409787. + 197343.i −0.351788 + 0.169412i
\(268\) −622515. + 780609.i −0.529435 + 0.663891i
\(269\) 82604.7 + 361915.i 0.0696024 + 0.304948i 0.997732 0.0673088i \(-0.0214413\pi\)
−0.928130 + 0.372257i \(0.878584\pi\)
\(270\) −114158. 500158.i −0.0953006 0.417539i
\(271\) 309020. + 387498.i 0.255601 + 0.320514i 0.893031 0.449994i \(-0.148574\pi\)
−0.637430 + 0.770508i \(0.720003\pi\)
\(272\) −229792. + 1.00679e6i −0.188327 + 0.825115i
\(273\) −40457.6 −0.0328544
\(274\) 72804.4 318977.i 0.0585843 0.256675i
\(275\) 1.37099e6 660236.i 1.09321 0.526463i
\(276\) 430168. 207158.i 0.339911 0.163693i
\(277\) 394361. 1.72781e6i 0.308812 1.35300i −0.547616 0.836730i \(-0.684464\pi\)
0.856428 0.516266i \(-0.172678\pi\)
\(278\) −42369.5 −0.0328807
\(279\) 159791. 700092.i 0.122897 0.538449i
\(280\) 95022.3 + 119154.i 0.0724320 + 0.0908269i
\(281\) −238529. 1.04506e6i −0.180208 0.789544i −0.981530 0.191310i \(-0.938726\pi\)
0.801321 0.598234i \(-0.204131\pi\)
\(282\) −74855.2 327962.i −0.0560530 0.245584i
\(283\) −1.08240e6 + 1.35729e6i −0.803383 + 1.00741i 0.196257 + 0.980553i \(0.437121\pi\)
−0.999639 + 0.0268574i \(0.991450\pi\)
\(284\) −934581. + 450071.i −0.687577 + 0.331119i
\(285\) 219815. + 105857.i 0.160304 + 0.0771985i
\(286\) −171401. 214930.i −0.123908 0.155375i
\(287\) −23655.0 + 29662.4i −0.0169519 + 0.0212570i
\(288\) −765336. 368566.i −0.543714 0.261839i
\(289\) 785450. 0.553189
\(290\) −627629. 211821.i −0.438236 0.147902i
\(291\) 550089. 0.380803
\(292\) 896760. + 431857.i 0.615487 + 0.296403i
\(293\) −835625. + 1.04784e6i −0.568647 + 0.713061i −0.980130 0.198357i \(-0.936440\pi\)
0.411483 + 0.911417i \(0.365011\pi\)
\(294\) 164293. + 206017.i 0.110854 + 0.139006i
\(295\) −2.13476e6 1.02805e6i −1.42822 0.687793i
\(296\) −1.37793e6 + 663575.i −0.914107 + 0.440211i
\(297\) 1.15020e6 1.44230e6i 0.756625 0.948778i
\(298\) −162403. 711533.i −0.105938 0.464146i
\(299\) 122317. + 535905.i 0.0791240 + 0.346665i
\(300\) −434388. 544705.i −0.278660 0.349428i
\(301\) 16595.1 72708.0i 0.0105576 0.0462558i
\(302\) 925371. 0.583847
\(303\) 213627. 935962.i 0.133675 0.585668i
\(304\) 232757. 112090.i 0.144450 0.0695635i
\(305\) 2.86994e6 1.38209e6i 1.76654 0.850719i
\(306\) −106746. + 467684.i −0.0651699 + 0.285528i
\(307\) −1.55255e6 −0.940153 −0.470077 0.882626i \(-0.655774\pi\)
−0.470077 + 0.882626i \(0.655774\pi\)
\(308\) −57388.4 + 251435.i −0.0344705 + 0.151025i
\(309\) 589747. + 739519.i 0.351374 + 0.440609i
\(310\) 136407. + 597637.i 0.0806179 + 0.353210i
\(311\) −177663. 778391.i −0.104159 0.456349i −0.999930 0.0118337i \(-0.996233\pi\)
0.895771 0.444515i \(-0.146624\pi\)
\(312\) −166758. + 209108.i −0.0969842 + 0.121614i
\(313\) −2.05793e6 + 991049.i −1.18733 + 0.571787i −0.920038 0.391829i \(-0.871843\pi\)
−0.267290 + 0.963616i \(0.586128\pi\)
\(314\) 107548. + 51792.4i 0.0615571 + 0.0296443i
\(315\) −142861. 179143.i −0.0811220 0.101724i
\(316\) 673630. 844705.i 0.379493 0.475869i
\(317\) −1.69394e6 815757.i −0.946780 0.455945i −0.104224 0.994554i \(-0.533236\pi\)
−0.842556 + 0.538609i \(0.818950\pi\)
\(318\) 483766. 0.268267
\(319\) −811638. 2.23942e6i −0.446566 1.23213i
\(320\) −1.00115e6 −0.546543
\(321\) 1.08098e6 + 520572.i 0.585537 + 0.281980i
\(322\) −40178.5 + 50382.3i −0.0215951 + 0.0270793i
\(323\) −343974. 431330.i −0.183451 0.230040i
\(324\) 306048. + 147385.i 0.161967 + 0.0779993i
\(325\) 722677. 348023.i 0.379521 0.182768i
\(326\) −64133.1 + 80420.4i −0.0334225 + 0.0419104i
\(327\) 362332. + 1.58748e6i 0.187386 + 0.820992i
\(328\) 55811.2 + 244525.i 0.0286442 + 0.125499i
\(329\) −226535. 284066.i −0.115384 0.144687i
\(330\) −144908. + 634883.i −0.0732499 + 0.320929i
\(331\) 2.43261e6 1.22040 0.610201 0.792247i \(-0.291089\pi\)
0.610201 + 0.792247i \(0.291089\pi\)
\(332\) 241278. 1.05711e6i 0.120136 0.526350i
\(333\) 2.07165e6 997653.i 1.02378 0.493025i
\(334\) −595362. + 286711.i −0.292022 + 0.140630i
\(335\) −605919. + 2.65471e6i −0.294987 + 1.29242i
\(336\) 101480. 0.0490381
\(337\) −580428. + 2.54302e6i −0.278403 + 1.21976i 0.621410 + 0.783485i \(0.286560\pi\)
−0.899813 + 0.436276i \(0.856297\pi\)
\(338\) 346109. + 434007.i 0.164786 + 0.206636i
\(339\) −150755. 660502.i −0.0712481 0.312158i
\(340\) 729210. + 3.19488e6i 0.342102 + 1.49884i
\(341\) −1.37437e6 + 1.72340e6i −0.640054 + 0.802602i
\(342\) 108123. 52069.2i 0.0499864 0.0240722i
\(343\) 517458. + 249195.i 0.237487 + 0.114368i
\(344\) −307395. 385461.i −0.140056 0.175624i
\(345\) 811861. 1.01804e6i 0.367226 0.460487i
\(346\) −781756. 376474.i −0.351060 0.169062i
\(347\) 2.46070e6 1.09707 0.548536 0.836127i \(-0.315186\pi\)
0.548536 + 0.836127i \(0.315186\pi\)
\(348\) −916917. + 590445.i −0.405865 + 0.261355i
\(349\) −2.09606e6 −0.921171 −0.460586 0.887615i \(-0.652361\pi\)
−0.460586 + 0.887615i \(0.652361\pi\)
\(350\) 84721.6 + 40799.8i 0.0369678 + 0.0178028i
\(351\) 606290. 760264.i 0.262672 0.329380i
\(352\) 1.62578e6 + 2.03867e6i 0.699368 + 0.876980i
\(353\) 1.14970e6 + 553664.i 0.491073 + 0.236488i 0.662997 0.748622i \(-0.269284\pi\)
−0.171924 + 0.985110i \(0.554998\pi\)
\(354\) 439198. 211507.i 0.186274 0.0897049i
\(355\) −1.76384e6 + 2.21179e6i −0.742829 + 0.931479i
\(356\) 340080. + 1.48999e6i 0.142219 + 0.623101i
\(357\) −48223.3 211280.i −0.0200256 0.0877381i
\(358\) 84801.3 + 106338.i 0.0349700 + 0.0438509i
\(359\) 288705. 1.26490e6i 0.118228 0.517989i −0.880783 0.473520i \(-0.842983\pi\)
0.999011 0.0444691i \(-0.0141596\pi\)
\(360\) −1.51476e6 −0.616009
\(361\) 520273. 2.27946e6i 0.210118 0.920587i
\(362\) 793382. 382073.i 0.318208 0.153241i
\(363\) −881437. + 424477.i −0.351095 + 0.169078i
\(364\) −30250.5 + 132536.i −0.0119668 + 0.0524301i
\(365\) 2.71450e6 1.06649
\(366\) −145829. + 638920.i −0.0569039 + 0.249312i
\(367\) −2.31289e6 2.90027e6i −0.896375 1.12402i −0.991700 0.128573i \(-0.958960\pi\)
0.0953249 0.995446i \(-0.469611\pi\)
\(368\) −306809. 1.34422e6i −0.118099 0.517428i
\(369\) −83909.5 367632.i −0.0320808 0.140555i
\(370\) −1.22382e6 + 1.53462e6i −0.464744 + 0.582770i
\(371\) 470761. 226706.i 0.177568 0.0855124i
\(372\) 909295. + 437894.i 0.340681 + 0.164063i
\(373\) −647975. 812535.i −0.241149 0.302392i 0.646498 0.762916i \(-0.276233\pi\)
−0.887647 + 0.460524i \(0.847662\pi\)
\(374\) 918121. 1.15129e6i 0.339407 0.425603i
\(375\) 137123. + 66035.1i 0.0503539 + 0.0242492i
\(376\) −2.40195e6 −0.876182
\(377\) −427830. 1.18044e6i −0.155031 0.427750i
\(378\) 113999. 0.0410366
\(379\) 1.27205e6 + 612585.i 0.454888 + 0.219063i 0.647275 0.762257i \(-0.275909\pi\)
−0.192387 + 0.981319i \(0.561623\pi\)
\(380\) 511139. 640947.i 0.181585 0.227700i
\(381\) −565013. 708503.i −0.199409 0.250052i
\(382\) 1.41922e6 + 683458.i 0.497611 + 0.239637i
\(383\) −826142. + 397849.i −0.287778 + 0.138587i −0.572204 0.820111i \(-0.693911\pi\)
0.284426 + 0.958698i \(0.408197\pi\)
\(384\) 965802. 1.21108e6i 0.334241 0.419125i
\(385\) 156512. + 685723.i 0.0538140 + 0.235775i
\(386\) −64089.0 280792.i −0.0218935 0.0959217i
\(387\) 462154. + 579522.i 0.156859 + 0.196695i
\(388\) 411306. 1.80205e6i 0.138703 0.607698i
\(389\) 1.16496e6 0.390336 0.195168 0.980770i \(-0.437475\pi\)
0.195168 + 0.980770i \(0.437475\pi\)
\(390\) −76383.7 + 334659.i −0.0254296 + 0.111414i
\(391\) −2.65284e6 + 1.27754e6i −0.877545 + 0.422603i
\(392\) 1.69516e6 816348.i 0.557181 0.268324i
\(393\) 458891. 2.01053e6i 0.149875 0.656643i
\(394\) −1.19154e6 −0.386694
\(395\) 655671. 2.87268e6i 0.211443 0.926393i
\(396\) −1.59820e6 2.00407e6i −0.512144 0.642208i
\(397\) 1.22528e6 + 5.36830e6i 0.390174 + 1.70946i 0.664040 + 0.747697i \(0.268840\pi\)
−0.273866 + 0.961768i \(0.588302\pi\)
\(398\) −442524. 1.93882e6i −0.140033 0.613523i
\(399\) −33802.1 + 42386.5i −0.0106295 + 0.0133289i
\(400\) −1.81270e6 + 872950.i −0.566469 + 0.272797i
\(401\) −1.19067e6 573394.i −0.369767 0.178071i 0.239766 0.970831i \(-0.422929\pi\)
−0.609534 + 0.792760i \(0.708643\pi\)
\(402\) −349289. 437994.i −0.107800 0.135177i
\(403\) −724455. + 908437.i −0.222202 + 0.278633i
\(404\) −2.90641e6 1.39965e6i −0.885939 0.426646i
\(405\) 926410. 0.280651
\(406\) 76923.1 125496.i 0.0231602 0.0377845i
\(407\) −7.05825e6 −2.11208
\(408\) −1.29078e6 621609.i −0.383887 0.184870i
\(409\) 408409. 512128.i 0.120722 0.151381i −0.717798 0.696251i \(-0.754850\pi\)
0.838520 + 0.544871i \(0.183421\pi\)
\(410\) 200702. + 251673.i 0.0589647 + 0.0739395i
\(411\) −1.32358e6 637403.i −0.386497 0.186127i
\(412\) 2.86357e6 1.37902e6i 0.831122 0.400247i
\(413\) 328273. 411642.i 0.0947023 0.118753i
\(414\) −142522. 624431.i −0.0408679 0.179054i
\(415\) −658024. 2.88299e6i −0.187552 0.821719i
\(416\) 856981. + 1.07462e6i 0.242794 + 0.304454i
\(417\) −42332.9 + 185473.i −0.0119217 + 0.0522324i
\(418\) −368382. −0.103123
\(419\) −1.24363e6 + 5.44868e6i −0.346063 + 1.51620i 0.439969 + 0.898013i \(0.354989\pi\)
−0.786032 + 0.618186i \(0.787868\pi\)
\(420\) 290141. 139724.i 0.0802574 0.0386499i
\(421\) 1.03345e6 497684.i 0.284174 0.136851i −0.286367 0.958120i \(-0.592448\pi\)
0.570541 + 0.821269i \(0.306733\pi\)
\(422\) 430053. 1.88419e6i 0.117555 0.515042i
\(423\) 3.61122e6 0.981302
\(424\) 768633. 3.36760e6i 0.207637 0.909717i
\(425\) 2.67886e6 + 3.35918e6i 0.719412 + 0.902114i
\(426\) −129513. 567433.i −0.0345771 0.151492i
\(427\) 157507. + 690083.i 0.0418052 + 0.183160i
\(428\) 2.51361e6 3.15197e6i 0.663268 0.831711i
\(429\) −1.11211e6 + 535564.i −0.291746 + 0.140497i
\(430\) −570098. 274545.i −0.148689 0.0716047i
\(431\) 1.07502e6 + 1.34804e6i 0.278756 + 0.349549i 0.901424 0.432937i \(-0.142523\pi\)
−0.622668 + 0.782486i \(0.713951\pi\)
\(432\) −1.52076e6 + 1.90698e6i −0.392060 + 0.491628i
\(433\) 3.44567e6 + 1.65935e6i 0.883190 + 0.425322i 0.819789 0.572666i \(-0.194091\pi\)
0.0634014 + 0.997988i \(0.479805\pi\)
\(434\) −136217. −0.0347142
\(435\) −1.55433e6 + 2.53581e6i −0.393841 + 0.642530i
\(436\) 5.47139e6 1.37842
\(437\) 663650. + 319597.i 0.166240 + 0.0800569i
\(438\) −348201. + 436631.i −0.0867252 + 0.108750i
\(439\) −854920. 1.07204e6i −0.211721 0.265490i 0.664619 0.747182i \(-0.268594\pi\)
−0.876340 + 0.481692i \(0.840022\pi\)
\(440\) 4.18933e6 + 2.01747e6i 1.03160 + 0.496794i
\(441\) −2.54860e6 + 1.22734e6i −0.624029 + 0.300517i
\(442\) 483959. 606865.i 0.117829 0.147753i
\(443\) −39291.0 172145.i −0.00951226 0.0416759i 0.969949 0.243308i \(-0.0782326\pi\)
−0.979461 + 0.201632i \(0.935375\pi\)
\(444\) 719101. + 3.15059e6i 0.173114 + 0.758463i
\(445\) 2.59874e6 + 3.25872e6i 0.622104 + 0.780094i
\(446\) −395008. + 1.73064e6i −0.0940305 + 0.411975i
\(447\) −3.27700e6 −0.775725
\(448\) 49503.6 216889.i 0.0116531 0.0510556i
\(449\) −2.93600e6 + 1.41390e6i −0.687290 + 0.330981i −0.744728 0.667368i \(-0.767421\pi\)
0.0574386 + 0.998349i \(0.481707\pi\)
\(450\) −842057. + 405513.i −0.196024 + 0.0944004i
\(451\) −257574. + 1.12850e6i −0.0596294 + 0.261253i
\(452\) −2.27648e6 −0.524104
\(453\) 924572. 4.05082e6i 0.211688 0.927464i
\(454\) 1.23689e6 + 1.55101e6i 0.281638 + 0.353162i
\(455\) 82500.4 + 361458.i 0.0186822 + 0.0818520i
\(456\) 79752.2 + 349417.i 0.0179610 + 0.0786923i
\(457\) 2.55190e6 3.19998e6i 0.571574 0.716731i −0.409076 0.912500i \(-0.634149\pi\)
0.980650 + 0.195769i \(0.0627203\pi\)
\(458\) 755442. 363802.i 0.168282 0.0810403i
\(459\) 4.69296e6 + 2.26001e6i 1.03972 + 0.500702i
\(460\) −2.72799e6 3.42079e6i −0.601103 0.753759i
\(461\) 507823. 636789.i 0.111291 0.139554i −0.723066 0.690779i \(-0.757268\pi\)
0.834357 + 0.551225i \(0.185839\pi\)
\(462\) −130376. 62785.7i −0.0284179 0.0136854i
\(463\) −5.42116e6 −1.17527 −0.587637 0.809124i \(-0.699942\pi\)
−0.587637 + 0.809124i \(0.699942\pi\)
\(464\) 1.07313e6 + 2.96091e6i 0.231397 + 0.638454i
\(465\) 2.75244e6 0.590318
\(466\) 273607. + 131762.i 0.0583662 + 0.0281077i
\(467\) −3.38402e6 + 4.24343e6i −0.718027 + 0.900378i −0.998224 0.0595647i \(-0.981029\pi\)
0.280197 + 0.959942i \(0.409600\pi\)
\(468\) −842439. 1.05639e6i −0.177797 0.222950i
\(469\) −545155. 262533.i −0.114443 0.0551127i
\(470\) −2.77745e6 + 1.33755e6i −0.579964 + 0.279296i
\(471\) 334176. 419044.i 0.0694102 0.0870376i
\(472\) −774524. 3.39341e6i −0.160022 0.701102i
\(473\) −506312. 2.21830e6i −0.104056 0.455898i
\(474\) 377969. + 473958.i 0.0772699 + 0.0968933i
\(475\) 239177. 1.04790e6i 0.0486391 0.213102i
\(476\) −728195. −0.147309
\(477\) −1.15560e6 + 5.06303e6i −0.232548 + 1.01886i
\(478\) 33172.7 15975.1i 0.00664066 0.00319798i
\(479\) −3.58713e6 + 1.72747e6i −0.714345 + 0.344010i −0.755506 0.655142i \(-0.772609\pi\)
0.0411607 + 0.999153i \(0.486894\pi\)
\(480\) 724518. 3.17432e6i 0.143531 0.628851i
\(481\) −3.72054e6 −0.733235
\(482\) −753682. + 3.30209e6i −0.147765 + 0.647399i
\(483\) 180405. + 226220.i 0.0351868 + 0.0441229i
\(484\) 731499. + 3.20491e6i 0.141939 + 0.621874i
\(485\) −1.12173e6 4.91463e6i −0.216538 0.948716i
\(486\) −1.12076e6 + 1.40539e6i −0.215239 + 0.269902i
\(487\) 4.32755e6 2.08404e6i 0.826837 0.398184i 0.0279092 0.999610i \(-0.491115\pi\)
0.798928 + 0.601427i \(0.205401\pi\)
\(488\) 4.21596e6 + 2.03030e6i 0.801396 + 0.385932i
\(489\) 287963. + 361094.i 0.0544583 + 0.0682886i
\(490\) 1.50558e6 1.88794e6i 0.283278 0.355220i
\(491\) 8.37371e6 + 4.03256e6i 1.56752 + 0.754879i 0.997758 0.0669280i \(-0.0213198\pi\)
0.569765 + 0.821807i \(0.307034\pi\)
\(492\) 529972. 0.0987053
\(493\) 5.65461e6 3.64126e6i 1.04782 0.674737i
\(494\) −194181. −0.0358005
\(495\) −6.29845e6 3.03317e6i −1.15537 0.556396i
\(496\) 1.81716e6 2.27864e6i 0.331656 0.415884i
\(497\) −391946. 491485.i −0.0711763 0.0892523i
\(498\) 548140. + 263971.i 0.0990418 + 0.0476960i
\(499\) 9.37841e6 4.51641e6i 1.68608 0.811973i 0.689971 0.723837i \(-0.257623\pi\)
0.996108 0.0881359i \(-0.0280910\pi\)
\(500\) 318854. 399831.i 0.0570384 0.0715239i
\(501\) 660231. + 2.89266e6i 0.117517 + 0.514877i
\(502\) −628237. 2.75249e6i −0.111267 0.487491i
\(503\) −4.86130e6 6.09588e6i −0.856708 1.07428i −0.996458 0.0840909i \(-0.973201\pi\)
0.139750 0.990187i \(-0.455370\pi\)
\(504\) 74899.8 328158.i 0.0131342 0.0575448i
\(505\) −8.79774e6 −1.53512
\(506\) −437496. + 1.91679e6i −0.0759622 + 0.332812i
\(507\) 2.24568e6 1.08146e6i 0.387996 0.186849i
\(508\) −2.74347e6 + 1.32119e6i −0.471673 + 0.227146i
\(509\) −623762. + 2.73288e6i −0.106715 + 0.467548i 0.893128 + 0.449803i \(0.148506\pi\)
−0.999843 + 0.0177450i \(0.994351\pi\)
\(510\) −1.83872e6 −0.313033
\(511\) −134223. + 588070.i −0.0227392 + 0.0996269i
\(512\) −3.73071e6 4.67816e6i −0.628950 0.788679i
\(513\) −289959. 1.27039e6i −0.0486455 0.213130i
\(514\) 176080. + 771455.i 0.0293969 + 0.128796i
\(515\) 5.40444e6 6.77696e6i 0.897910 1.12594i
\(516\) −938598. + 452005.i −0.155187 + 0.0747341i
\(517\) −9.98743e6 4.80969e6i −1.64334 0.791391i
\(518\) −271947. 341011.i −0.0445308 0.0558398i
\(519\) −2.42910e6 + 3.04599e6i −0.395846 + 0.496375i
\(520\) 2.20827e6 + 1.06345e6i 0.358133 + 0.172468i
\(521\) −4.28094e6 −0.690948 −0.345474 0.938428i \(-0.612282\pi\)
−0.345474 + 0.938428i \(0.612282\pi\)
\(522\) 498503. + 1.37544e6i 0.0800740 + 0.220935i
\(523\) 3.64423e6 0.582574 0.291287 0.956636i \(-0.405917\pi\)
0.291287 + 0.956636i \(0.405917\pi\)
\(524\) −6.24324e6 3.00659e6i −0.993303 0.478350i
\(525\) 263249. 330104.i 0.0416840 0.0522700i
\(526\) 2.01622e6 + 2.52826e6i 0.317741 + 0.398435i
\(527\) −5.60761e6 2.70048e6i −0.879531 0.423560i
\(528\) 2.78952e6 1.34336e6i 0.435456 0.209705i
\(529\) −1.56188e6 + 1.95854e6i −0.242666 + 0.304294i
\(530\) −986487. 4.32208e6i −0.152546 0.668349i
\(531\) 1.16446e6 + 5.10183e6i 0.179221 + 0.785217i
\(532\) 113581. + 142426.i 0.0173991 + 0.0218177i
\(533\) −135772. + 594857.i −0.0207011 + 0.0906973i
\(534\) −857522. −0.130134
\(535\) 2.44660e6 1.07193e7i 0.369555 1.61912i
\(536\) −3.60394e6 + 1.73557e6i −0.541833 + 0.260933i
\(537\) 550221. 264972.i 0.0823382 0.0396520i
\(538\) −155740. + 682343.i −0.0231977 + 0.101636i
\(539\) 8.68325e6 1.28739
\(540\) −1.72235e6 + 7.54610e6i −0.254177 + 1.11362i
\(541\) 6.75318e6 + 8.46822e6i 0.992008 + 1.24394i 0.969728 + 0.244187i \(0.0785211\pi\)
0.0222798 + 0.999752i \(0.492908\pi\)
\(542\) 207933. + 911015.i 0.0304036 + 0.133207i
\(543\) −879827. 3.85477e6i −0.128055 0.561047i
\(544\) −4.59047e6 + 5.75627e6i −0.665059 + 0.833957i
\(545\) 1.34441e7 6.47432e6i 1.93883 0.933690i
\(546\) −68723.7 33095.6i −0.00986563 0.00475103i
\(547\) 7.42095e6 + 9.30557e6i 1.06045 + 1.32976i 0.941555 + 0.336858i \(0.109364\pi\)
0.118896 + 0.992907i \(0.462064\pi\)
\(548\) −3.07774e6 + 3.85936e6i −0.437805 + 0.548990i
\(549\) −6.33849e6 3.05246e6i −0.897543 0.432234i
\(550\) 2.86894e6 0.404404
\(551\) −1.59417e6 538022.i −0.223694 0.0754955i
\(552\) 1.91283e6 0.267195
\(553\) 589918. + 284090.i 0.0820311 + 0.0395041i
\(554\) 2.08329e6 2.61236e6i 0.288386 0.361625i
\(555\) 5.49505e6 + 6.89058e6i 0.757250 + 0.949562i
\(556\) 575942. + 277359.i 0.0790118 + 0.0380501i
\(557\) −7.70718e6 + 3.71158e6i −1.05259 + 0.506898i −0.878455 0.477824i \(-0.841426\pi\)
−0.174130 + 0.984723i \(0.555711\pi\)
\(558\) 844127. 1.05850e6i 0.114768 0.143915i
\(559\) −266887. 1.16931e6i −0.0361242 0.158270i
\(560\) −206937. 906649.i −0.0278848 0.122171i
\(561\) −4.12243e6 5.16937e6i −0.553027 0.693474i
\(562\) 449714. 1.97033e6i 0.0600615 0.263147i
\(563\) 7.63543e6 1.01523 0.507613 0.861585i \(-0.330528\pi\)
0.507613 + 0.861585i \(0.330528\pi\)
\(564\) −1.12937e6 + 4.94810e6i −0.149499 + 0.655000i
\(565\) −5.59366e6 + 2.69377e6i −0.737183 + 0.355009i
\(566\) −2.94894e6 + 1.42013e6i −0.386923 + 0.186332i
\(567\) −45807.9 + 200698.i −0.00598388 + 0.0262171i
\(568\) −4.15580e6 −0.540485
\(569\) −728668. + 3.19250e6i −0.0943516 + 0.413381i −0.999942 0.0107721i \(-0.996571\pi\)
0.905590 + 0.424153i \(0.139428\pi\)
\(570\) 286796. + 359631.i 0.0369731 + 0.0463628i
\(571\) −2.48312e6 1.08793e7i −0.318719 1.39640i −0.839802 0.542893i \(-0.817329\pi\)
0.521083 0.853506i \(-0.325528\pi\)
\(572\) 922934. + 4.04364e6i 0.117945 + 0.516752i
\(573\) 4.40983e6 5.52975e6i 0.561094 0.703589i
\(574\) −64446.4 + 31035.8i −0.00816430 + 0.00393172i
\(575\) −5.16848e6 2.48901e6i −0.651918 0.313947i
\(576\) 1.37861e6 + 1.72873e6i 0.173136 + 0.217105i
\(577\) −4.53192e6 + 5.68285e6i −0.566687 + 0.710603i −0.979778 0.200087i \(-0.935878\pi\)
0.413091 + 0.910690i \(0.364449\pi\)
\(578\) 1.33421e6 + 642522.i 0.166113 + 0.0799960i
\(579\) −1.29320e6 −0.160313
\(580\) 7.14493e6 + 6.98793e6i 0.881918 + 0.862539i
\(581\) 657109. 0.0807601
\(582\) 934413. + 449990.i 0.114349 + 0.0550675i
\(583\) 9.93935e6 1.24635e7i 1.21112 1.51869i
\(584\) 2.48624e6 + 3.11765e6i 0.301656 + 0.378264i
\(585\) −3.32003e6 1.59884e6i −0.401100 0.193160i
\(586\) −2.27661e6 + 1.09636e6i −0.273870 + 0.131889i
\(587\) −588729. + 738243.i −0.0705213 + 0.0884309i −0.815841 0.578277i \(-0.803725\pi\)
0.745320 + 0.666707i \(0.232297\pi\)
\(588\) −884658. 3.87594e6i −0.105519 0.462310i
\(589\) 346471. + 1.51799e6i 0.0411508 + 0.180293i
\(590\) −2.78526e6 3.49260e6i −0.329409 0.413066i
\(591\) −1.19051e6 + 5.21596e6i −0.140205 + 0.614279i
\(592\) 9.33226e6 1.09442
\(593\) −1.88494e6 + 8.25846e6i −0.220121 + 0.964411i 0.737266 + 0.675602i \(0.236116\pi\)
−0.957387 + 0.288809i \(0.906741\pi\)
\(594\) 3.13364e6 1.50908e6i 0.364403 0.175487i
\(595\) −1.78929e6 + 861677.i −0.207199 + 0.0997820i
\(596\) −2.45024e6 + 1.07352e7i −0.282549 + 1.23793i
\(597\) −8.92935e6 −1.02538
\(598\) −230612. + 1.01038e6i −0.0263712 + 0.115540i
\(599\) 5.44583e6 + 6.82886e6i 0.620151 + 0.777645i 0.988366 0.152096i \(-0.0486023\pi\)
−0.368215 + 0.929741i \(0.620031\pi\)
\(600\) −621107. 2.72125e6i −0.0704350 0.308596i
\(601\) 733449. + 3.21345e6i 0.0828292 + 0.362898i 0.999308 0.0371838i \(-0.0118387\pi\)
−0.916479 + 0.400082i \(0.868982\pi\)
\(602\) 87666.8 109931.i 0.00985925 0.0123631i
\(603\) 5.41835e6 2.60934e6i 0.606840 0.292239i
\(604\) −1.25789e7 6.05766e6i −1.40297 0.675636i
\(605\) 5.58979e6 + 7.00938e6i 0.620879 + 0.778558i
\(606\) 1.12853e6 1.41513e6i 0.124833 0.156536i
\(607\) 8.54123e6 + 4.11324e6i 0.940912 + 0.453119i 0.840491 0.541826i \(-0.182267\pi\)
0.100421 + 0.994945i \(0.467981\pi\)
\(608\) 1.84186e6 0.202068
\(609\) −472501. 462118.i −0.0516249 0.0504905i
\(610\) 6.00563e6 0.653483
\(611\) −5.26457e6 2.53528e6i −0.570505 0.274741i
\(612\) 4.51258e6 5.65859e6i 0.487019 0.610703i
\(613\) −2.19774e6 2.75588e6i −0.236225 0.296216i 0.649562 0.760308i \(-0.274952\pi\)
−0.885787 + 0.464092i \(0.846381\pi\)
\(614\) −2.63725e6 1.27003e6i −0.282312 0.135954i
\(615\) 1.30223e6 627119.i 0.138835 0.0668593i
\(616\) −644214. + 807819.i −0.0684035 + 0.0857753i
\(617\) 2.19593e6 + 9.62098e6i 0.232223 + 1.01743i 0.947791 + 0.318892i \(0.103311\pi\)
−0.715568 + 0.698543i \(0.753832\pi\)
\(618\) 396829. + 1.73862e6i 0.0417958 + 0.183119i
\(619\) 6.65863e6 + 8.34966e6i 0.698487 + 0.875875i 0.996909 0.0785588i \(-0.0250318\pi\)
−0.298422 + 0.954434i \(0.596460\pi\)
\(620\) 2.05803e6 9.01681e6i 0.215017 0.942049i
\(621\) −6.95456e6 −0.723670
\(622\) 334960. 1.46755e6i 0.0347150 0.152096i
\(623\) −834469. + 401859.i −0.0861371 + 0.0414814i
\(624\) 1.47041e6 708112.i 0.151174 0.0728015i
\(625\) 2.32226e6 1.01745e7i 0.237799 1.04187i
\(626\) −4.30644e6 −0.439220
\(627\) −368064. + 1.61259e6i −0.0373899 + 0.163816i
\(628\) −1.12289e6 1.40806e6i −0.113616 0.142470i
\(629\) −4.43468e6 1.94296e7i −0.446926 1.95811i
\(630\) −96128.7 421167.i −0.00964943 0.0422769i
\(631\) −4.23603e6 + 5.31181e6i −0.423531 + 0.531091i −0.947120 0.320880i \(-0.896021\pi\)
0.523589 + 0.851971i \(0.324593\pi\)
\(632\) 3.89986e6 1.87808e6i 0.388380 0.187034i
\(633\) −7.81835e6 3.76512e6i −0.775543 0.373482i
\(634\) −2.21011e6 2.77138e6i −0.218368 0.273825i
\(635\) −5.17778e6 + 6.49273e6i −0.509576 + 0.638988i
\(636\) −6.57598e6 3.16683e6i −0.644641 0.310443i
\(637\) 4.57711e6 0.446933
\(638\) 453215. 4.46795e6i 0.0440811 0.434567i
\(639\) 6.24805e6 0.605330
\(640\) −1.27895e7 6.15910e6i −1.23425 0.594384i
\(641\) −2.19192e6 + 2.74858e6i −0.210707 + 0.264218i −0.875943 0.482415i \(-0.839760\pi\)
0.665236 + 0.746633i \(0.268331\pi\)
\(642\) 1.41037e6 + 1.76855e6i 0.135050 + 0.169348i
\(643\) 647449. + 311795.i 0.0617559 + 0.0297401i 0.464507 0.885570i \(-0.346232\pi\)
−0.402751 + 0.915310i \(0.631946\pi\)
\(644\) 875972. 421846.i 0.0832291 0.0400810i
\(645\) −1.77142e6 + 2.22130e6i −0.167658 + 0.210236i
\(646\) −231454. 1.01406e6i −0.0218214 0.0956058i
\(647\) −1.83999e6 8.06153e6i −0.172804 0.757106i −0.984835 0.173491i \(-0.944495\pi\)
0.812031 0.583614i \(-0.198362\pi\)
\(648\) 848510. + 1.06400e6i 0.0793815 + 0.0995413i
\(649\) 3.57450e6 1.56609e7i 0.333122 1.45950i
\(650\) 1.51228e6 0.140394
\(651\) −136099. + 596290.i −0.0125865 + 0.0551449i
\(652\) 1.39823e6 673352.i 0.128813 0.0620330i
\(653\) −1.12807e7 + 5.43250e6i −1.03527 + 0.498559i −0.872761 0.488148i \(-0.837673\pi\)
−0.162508 + 0.986707i \(0.551958\pi\)
\(654\) −683129. + 2.99298e6i −0.0624537 + 0.273628i
\(655\) −1.88983e7 −1.72116
\(656\) 340559. 1.49209e6i 0.0308981 0.135374i
\(657\) −3.73795e6 4.68724e6i −0.337847 0.423646i
\(658\) −152431. 667844.i −0.0137249 0.0601326i
\(659\) −2.79952e6 1.22655e7i −0.251113 1.10020i −0.930463 0.366385i \(-0.880595\pi\)
0.679350 0.733815i \(-0.262262\pi\)
\(660\) 6.12585e6 7.68157e6i 0.547402 0.686420i
\(661\) 7.00590e6 3.37386e6i 0.623678 0.300347i −0.0952275 0.995456i \(-0.530358\pi\)
0.718905 + 0.695108i \(0.244644\pi\)
\(662\) 4.13218e6 + 1.98995e6i 0.366466 + 0.176481i
\(663\) −2.17301e6 2.72487e6i −0.191990 0.240748i
\(664\) 2.70847e6 3.39632e6i 0.238399 0.298943i
\(665\) 447619. + 215562.i 0.0392514 + 0.0189025i
\(666\) 4.33513e6 0.378719
\(667\) −4.69273e6 + 7.65593e6i −0.408424 + 0.666321i
\(668\) 9.96981e6 0.864462
\(669\) 7.18123e6 + 3.45830e6i 0.620345 + 0.298742i
\(670\) −3.20088e6 + 4.01378e6i −0.275475 + 0.345435i
\(671\) 1.34647e7 + 1.68842e7i 1.15449 + 1.44768i
\(672\) 651861. + 313920.i 0.0556842 + 0.0268161i
\(673\) −3.98174e6 + 1.91750e6i −0.338871 + 0.163192i −0.595578 0.803298i \(-0.703077\pi\)
0.256707 + 0.966489i \(0.417363\pi\)
\(674\) −3.06622e6 + 3.84491e6i −0.259988 + 0.326014i
\(675\) 2.25819e6 + 9.89377e6i 0.190766 + 0.835800i
\(676\) −1.86367e6 8.16529e6i −0.156857 0.687234i
\(677\) 3.83721e6 + 4.81170e6i 0.321768 + 0.403485i 0.916239 0.400633i \(-0.131210\pi\)
−0.594470 + 0.804118i \(0.702638\pi\)
\(678\) 284229. 1.24529e6i 0.0237462 0.104039i
\(679\) 1.12017e6 0.0932416
\(680\) −2.92146e6 + 1.27998e7i −0.242286 + 1.06152i
\(681\) 8.02536e6 3.86481e6i 0.663127 0.319345i
\(682\) −3.74437e6 + 1.80319e6i −0.308261 + 0.148451i
\(683\) 3.11837e6 1.36625e7i 0.255786 1.12067i −0.669922 0.742432i \(-0.733672\pi\)
0.925708 0.378239i \(-0.123470\pi\)
\(684\) −1.81060e6 −0.147973
\(685\) −2.99569e6 + 1.31250e7i −0.243933 + 1.06874i
\(686\) 675135. + 846593.i 0.0547748 + 0.0686854i
\(687\) −837753. 3.67044e6i −0.0677211 0.296706i
\(688\) 669435. + 2.93299e6i 0.0539185 + 0.236232i
\(689\) 5.23922e6 6.56977e6i 0.420454 0.527233i
\(690\) 2.21186e6 1.06518e6i 0.176862 0.0851724i
\(691\) −4.23585e6 2.03988e6i −0.337478 0.162521i 0.257467 0.966287i \(-0.417112\pi\)
−0.594945 + 0.803766i \(0.702826\pi\)
\(692\) 8.16219e6 + 1.02351e7i 0.647950 + 0.812503i
\(693\) 968545. 1.21452e6i 0.0766102 0.0960661i
\(694\) 4.17989e6 + 2.01293e6i 0.329432 + 0.158646i
\(695\) 1.74338e6 0.136908
\(696\) −4.33605e6 + 537397.i −0.339290 + 0.0420506i
\(697\) −3.26833e6 −0.254826
\(698\) −3.56049e6 1.71464e6i −0.276612 0.133209i
\(699\) 850158. 1.06606e6i 0.0658123 0.0825260i
\(700\) −884563. 1.10921e6i −0.0682313 0.0855594i
\(701\) −7.59446e6 3.65730e6i −0.583716 0.281103i 0.118630 0.992939i \(-0.462150\pi\)
−0.702346 + 0.711836i \(0.747864\pi\)
\(702\) 1.65180e6 795465.i 0.126507 0.0609226i
\(703\) −3.10849e6 + 3.89792e6i −0.237225 + 0.297471i
\(704\) −1.51034e6 6.61723e6i −0.114853 0.503204i
\(705\) 3.08007e6 + 1.34947e7i 0.233393 + 1.02256i
\(706\) 1.50003e6 + 1.88097e6i 0.113263 + 0.142027i
\(707\) 435019. 1.90594e6i 0.0327310 0.143404i
\(708\) −7.35472e6 −0.551421
\(709\) −4.71313e6 + 2.06496e7i −0.352122 + 1.54275i 0.420149 + 0.907455i \(0.361978\pi\)
−0.772271 + 0.635293i \(0.780879\pi\)
\(710\) −4.80548e6 + 2.31420e6i −0.357759 + 0.172288i
\(711\) −5.86326e6 + 2.82360e6i −0.434976 + 0.209473i
\(712\) −1.36248e6 + 5.96940e6i −0.100723 + 0.441297i
\(713\) 8.30998e6 0.612176
\(714\) 90918.7 398341.i 0.00667433 0.0292422i
\(715\) 7.05266e6 + 8.84375e6i 0.515926 + 0.646951i
\(716\) −456625. 2.00061e6i −0.0332872 0.145841i
\(717\) −36787.2 161175.i −0.00267238 0.0117085i
\(718\) 1.52514e6 1.91247e6i 0.110408 0.138447i
\(719\) 4.05707e6 1.95378e6i 0.292678 0.140946i −0.281783 0.959478i \(-0.590926\pi\)
0.574461 + 0.818532i \(0.305212\pi\)
\(720\) 8.32768e6 + 4.01040e6i 0.598677 + 0.288308i
\(721\) 1.20093e6 + 1.50592e6i 0.0860358 + 0.107885i
\(722\) 2.74844e6 3.44643e6i 0.196220 0.246052i
\(723\) 1.37019e7 + 6.59848e6i 0.974843 + 0.469460i
\(724\) −1.32858e7 −0.941980
\(725\) 1.24153e7 + 4.19010e6i 0.877228 + 0.296060i
\(726\) −1.84450e6 −0.129878
\(727\) −3.19790e6 1.54003e6i −0.224403 0.108067i 0.318304 0.947989i \(-0.396887\pi\)
−0.542708 + 0.839922i \(0.682601\pi\)
\(728\) −339577. + 425817.i −0.0237471 + 0.0297779i
\(729\) 3.22302e6 + 4.04154e6i 0.224618 + 0.281662i
\(730\) 4.61101e6 + 2.22054e6i 0.320250 + 0.154224i
\(731\) 5.78832e6 2.78751e6i 0.400644 0.192940i
\(732\) 6.16479e6 7.73041e6i 0.425247 0.533242i
\(733\) 401880. + 1.76075e6i 0.0276271 + 0.121042i 0.986861 0.161571i \(-0.0516559\pi\)
−0.959234 + 0.282613i \(0.908799\pi\)
\(734\) −1.55630e6 6.81859e6i −0.106623 0.467148i
\(735\) −6.76016e6 8.47698e6i −0.461571 0.578792i
\(736\) 2.18741e6 9.58369e6i 0.148846 0.652136i
\(737\) −1.84607e7 −1.25193
\(738\) 158200. 693121.i 0.0106922 0.0468455i
\(739\) −4.26102e6 + 2.05200e6i −0.287014 + 0.138219i −0.571851 0.820357i \(-0.693775\pi\)
0.284838 + 0.958576i \(0.408060\pi\)
\(740\) 2.66817e7 1.28492e7i 1.79116 0.862578i
\(741\) −194013. + 850028.i −0.0129803 + 0.0568706i
\(742\) 985115. 0.0656866
\(743\) 5.38315e6 2.35851e7i 0.357737 1.56735i −0.401078 0.916044i \(-0.631364\pi\)
0.758815 0.651306i \(-0.225779\pi\)
\(744\) 2.52100e6 + 3.16123e6i 0.166971 + 0.209374i
\(745\) 6.68240e6 + 2.92775e7i 0.441105 + 1.93261i
\(746\) −436010. 1.91028e6i −0.0286846 0.125676i
\(747\) −4.07206e6 + 5.10620e6i −0.267001 + 0.334808i
\(748\) −2.00169e7 + 9.63961e6i −1.30810 + 0.629949i
\(749\) 2.20125e6 + 1.06006e6i 0.143372 + 0.0690443i
\(750\) 178907. + 224342.i 0.0116138 + 0.0145632i
\(751\) −9.86991e6 + 1.23765e7i −0.638577 + 0.800750i −0.990824 0.135157i \(-0.956846\pi\)
0.352247 + 0.935907i \(0.385418\pi\)
\(752\) 1.32052e7 + 6.35928e6i 0.851529 + 0.410075i
\(753\) −1.26767e7 −0.814741
\(754\) 238898. 2.35514e6i 0.0153033 0.150865i
\(755\) −3.80763e7 −2.43101
\(756\) −1.54962e6 746259.i −0.0986101 0.0474881i
\(757\) 1.57574e7 1.97591e7i 0.999411 1.25322i 0.0321381 0.999483i \(-0.489768\pi\)
0.967273 0.253738i \(-0.0816602\pi\)
\(758\) 1.65966e6 + 2.08114e6i 0.104917 + 0.131562i
\(759\) 7.95365e6 + 3.83027e6i 0.501143 + 0.241338i
\(760\) 2.95915e6 1.42505e6i 0.185837 0.0894945i
\(761\) 3.18187e6 3.98994e6i 0.199168 0.249749i −0.672210 0.740360i \(-0.734655\pi\)
0.871379 + 0.490611i \(0.163226\pi\)
\(762\) −380186. 1.66570e6i −0.0237197 0.103923i
\(763\) 737833. + 3.23266e6i 0.0458825 + 0.201024i
\(764\) −1.48178e7 1.85809e7i −0.918439 1.15169i
\(765\) 4.39228e6 1.92438e7i 0.271354 1.18888i
\(766\) −1.72879e6 −0.106456
\(767\) 1.88419e6 8.25516e6i 0.115647 0.506684i
\(768\) −518466. + 249680.i −0.0317188 + 0.0152750i
\(769\)